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64 lines
35 KiB
JSON
Executable file
64 lines
35 KiB
JSON
Executable file
{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that The Chinese women's volleyball team is victorious.\"\n(2) \"It is possibly not the case that The Chinese women's volleyball team is victorious.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that The Chinese women's volleyball team is victorious.", "It is possibly not the case that The Chinese women's volleyball team is victorious."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that The task of developing an anti-SARS vaccine is completed this year.\"\n(2) \"It is possibly not the case that The task of developing an anti-SARS vaccine is completed this year.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that The task of developing an anti-SARS vaccine is completed this year.", "It is possibly not the case that The task of developing an anti-SARS vaccine is completed this year."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"It is necessarily true that Li Ming plays well.\"\n\nUsing: 'q' means 'Li Ming plays well'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "It is necessarily true that Li Ming plays well.", "symbol_defs": {"q": "Li Ming plays well"}, "correct_answer": "$q"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that The Brazil football team wins the championship.\"\n(2) \"It is possibly not the case that The Brazil football team wins the championship.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that The Brazil football team wins the championship.", "It is possibly not the case that The Brazil football team wins the championship."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"It is necessarily true that He wins the championship.\"\n\nUsing: 'q' means 'he wins the championship'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "It is necessarily true that He wins the championship.", "symbol_defs": {"q": "he wins the championship"}, "correct_answer": "#q"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that The Chinese women's volleyball team is victorious.\"\n(2) \"It is possibly true that The Chinese women's volleyball team is victorious.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that The Chinese women's volleyball team is victorious.", "It is possibly true that The Chinese women's volleyball team is victorious."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that Xiao Lin wins the championship.\"\n(2) \"It is definitely not the case that Xiao Lin wins the championship.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that Xiao Lin wins the championship.", "It is definitely not the case that Xiao Lin wins the championship."], "correct_answer": "B"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"not There is no life in a fire.\"\n\nUsing: 'q' means 'there is no life in a fire'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "not There is no life in a fire.", "symbol_defs": {"q": "there is no life in a fire"}, "correct_answer": "!q"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"not Xiao Lin wins the championship.\"\n\nUsing: 'p' means 'Xiao Lin wins the championship'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "not Xiao Lin wins the championship.", "symbol_defs": {"p": "Xiao Lin wins the championship"}, "correct_answer": "!p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"The Brazil football team wins the championship.\"\n\nUsing: 'p' means 'the Brazil football team wins the championship'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "The Brazil football team wins the championship.", "symbol_defs": {"p": "the Brazil football team wins the championship"}, "correct_answer": "p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that There is life on Mars.\"\n(2) \"It is possibly true that There is life on Mars.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that There is life on Mars.", "It is possibly true that There is life on Mars."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is possibly true that Team A wins the championship.\"\n(2) \"It is possibly not the case that Team A wins the championship.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is possibly true that Team A wins the championship.", "It is possibly not the case that Team A wins the championship."], "correct_answer": "C"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that The Chinese women's volleyball team is victorious.\"\n(2) \"It is definitely not the case that The Chinese women's volleyball team is victorious.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that The Chinese women's volleyball team is victorious.", "It is definitely not the case that The Chinese women's volleyball team is victorious."], "correct_answer": "B"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that The connection between things exists.\"\n(2) \"It is possibly not the case that The connection between things exists.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that The connection between things exists.", "It is possibly not the case that The connection between things exists."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"It is necessarily true that not The connection between things exists.\"\n\nUsing: 'p' means 'the connection between things exists'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "It is necessarily true that not The connection between things exists.", "symbol_defs": {"p": "the connection between things exists"}, "correct_answer": "$!p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that The project is completed ahead of schedule.\"\n(2) \"It is possibly true that The project is completed ahead of schedule.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that The project is completed ahead of schedule.", "It is possibly true that The project is completed ahead of schedule."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"not The experiment succeeds.\"\n\nUsing: 'p' means 'the experiment succeeds'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "not The experiment succeeds.", "symbol_defs": {"p": "the experiment succeeds"}, "correct_answer": "!p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: It is definitely true that There is life on Mars.\nConclusion: It is definitely true that There is life on Mars.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "It is definitely true that There is life on Mars.", "conclusion": "It is definitely true that There is life on Mars.", "correct_answer": 5}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is possibly true that The experiment succeeds.\"\n(2) \"It is possibly not the case that The experiment succeeds.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is possibly true that The experiment succeeds.", "It is possibly not the case that The experiment succeeds."], "correct_answer": "C"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: The connection between things exists.\nConclusion: It is possibly true that The connection between things exists.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "The connection between things exists.", "conclusion": "It is possibly true that The connection between things exists.", "correct_answer": 15}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that The experiment succeeds.\"\n(2) \"It is possibly not the case that The experiment succeeds.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that The experiment succeeds.", "It is possibly not the case that The experiment succeeds."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"There is life on Mars.\"\n\nUsing: 'p' means 'there is life on Mars'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "There is life on Mars.", "symbol_defs": {"p": "there is life on Mars"}, "correct_answer": "p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "According to formula 15, what can be inferred from:\n\"Science is a human endeavour.\"?\n\nOptions:\nA: There is no connection between things\nB: There might be a connection between things\nC: There is a connection between things\nD: It is impossible for things to be connected\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "multiple_choice_formula", "formula_number": 15, "premise": "Science is a human endeavour.", "options": {"A": "There is no connection between things", "B": "There might be a connection between things", "C": "There is a connection between things", "D": "It is impossible for things to be connected"}, "correct_answer": "C"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"Xiao Lin wins the championship.\"\n\nUsing: 'p' means 'Xiao Lin wins the championship'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "Xiao Lin wins the championship.", "symbol_defs": {"p": "Xiao Lin wins the championship"}, "correct_answer": "p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "According to formula 15, what can be inferred from:\n\"There is life on Mars.\"?\n\nOptions:\nA: There is no connection between things\nB: There might be a connection between things\nC: There is a connection between things\nD: It is impossible for things to be connected\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "multiple_choice_formula", "formula_number": 15, "premise": "There is life on Mars.", "options": {"A": "There is no connection between things", "B": "There might be a connection between things", "C": "There is a connection between things", "D": "It is impossible for things to be connected"}, "correct_answer": "C"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"It is necessarily true that not There is no life in a fire.\"\n\nUsing: 'q' means 'there is no life in a fire'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "It is necessarily true that not There is no life in a fire.", "symbol_defs": {"q": "there is no life in a fire"}, "correct_answer": "#!q"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "According to formula 16, what can be inferred from:\n\"It is not the case that The connection between things exists.\"?\n\nOptions:\nA: Team A won the championship\nB: Team A will not win the championship\nC: Team A cannot win the championship\nD: Team A might not have won the championship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "multiple_choice_formula", "formula_number": 16, "premise": "It is not the case that The connection between things exists.", "options": {"A": "Team A won the championship", "B": "Team A will not win the championship", "C": "Team A cannot win the championship", "D": "Team A might not have won the championship"}, "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"Xiao Lin wins the championship.\"\n\nUsing: 'p' means 'Xiao Lin wins the championship'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "Xiao Lin wins the championship.", "symbol_defs": {"p": "Xiao Lin wins the championship"}, "correct_answer": "p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"not Team A wins the championship.\"\n\nUsing: 'p' means 'Team A wins the championship'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "not Team A wins the championship.", "symbol_defs": {"p": "Team A wins the championship"}, "correct_answer": "!p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that Xiao Lin wins the championship.\"\n(2) \"It is possibly true that Xiao Lin wins the championship.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that Xiao Lin wins the championship.", "It is possibly true that Xiao Lin wins the championship."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"not There is no life in a fire.\"\n\nUsing: 'q' means 'there is no life in a fire'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "not There is no life in a fire.", "symbol_defs": {"q": "there is no life in a fire"}, "correct_answer": "!q"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that Xiao Lin wins the championship.\"\n(2) \"It is possibly not the case that Xiao Lin wins the championship.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that Xiao Lin wins the championship.", "It is possibly not the case that Xiao Lin wins the championship."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is possibly true that The Chinese women's volleyball team is victorious.\"\n(2) \"It is possibly not the case that The Chinese women's volleyball team is victorious.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is possibly true that The Chinese women's volleyball team is victorious.", "It is possibly not the case that The Chinese women's volleyball team is victorious."], "correct_answer": "C"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"It is necessarily true that He wins the championship.\"\n\nUsing: 'q' means 'he wins the championship'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "It is necessarily true that He wins the championship.", "symbol_defs": {"q": "he wins the championship"}, "correct_answer": "$q"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: Xiao Lin wins the championship.\nConclusion: It is possibly true that Xiao Lin wins the championship.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "Xiao Lin wins the championship.", "conclusion": "It is possibly true that Xiao Lin wins the championship.", "correct_answer": 15}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "According to formula 16, what can be inferred from:\n\"It is not the case that The connection between things exists.\"?\n\nOptions:\nA: Team A won the championship\nB: Team A will not win the championship\nC: Team A cannot win the championship\nD: Team A might not have won the championship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "multiple_choice_formula", "formula_number": 16, "premise": "It is not the case that The connection between things exists.", "options": {"A": "Team A won the championship", "B": "Team A will not win the championship", "C": "Team A cannot win the championship", "D": "Team A might not have won the championship"}, "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: The Brazil football team wins the championship.\nConclusion: It is possibly true that The Brazil football team wins the championship.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "The Brazil football team wins the championship.", "conclusion": "It is possibly true that The Brazil football team wins the championship.", "correct_answer": 15}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that Science is a human endeavour.\"\n(2) \"It is possibly not the case that Science is a human endeavour.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that Science is a human endeavour.", "It is possibly not the case that Science is a human endeavour."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: It is definitely true that The project is completed ahead of schedule.\nConclusion: It is possibly true that The project is completed ahead of schedule.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "It is definitely true that The project is completed ahead of schedule.", "conclusion": "It is possibly true that The project is completed ahead of schedule.", "correct_answer": 9}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is possibly true that Xiao Lin wins the championship.\"\n(2) \"It is possibly not the case that Xiao Lin wins the championship.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is possibly true that Xiao Lin wins the championship.", "It is possibly not the case that Xiao Lin wins the championship."], "correct_answer": "C"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that Xiao Lin wins the championship.\"\n(2) \"It is possibly not the case that Xiao Lin wins the championship.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that Xiao Lin wins the championship.", "It is possibly not the case that Xiao Lin wins the championship."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "According to formula 15, what can be inferred from:\n\"The connection between things exists.\"?\n\nOptions:\nA: There is no connection between things\nB: There might be a connection between things\nC: There is a connection between things\nD: It is impossible for things to be connected\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "multiple_choice_formula", "formula_number": 15, "premise": "The connection between things exists.", "options": {"A": "There is no connection between things", "B": "There might be a connection between things", "C": "There is a connection between things", "D": "It is impossible for things to be connected"}, "correct_answer": "C"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that The task of developing an anti-SARS vaccine is completed this year.\"\n(2) \"It is possibly not the case that The task of developing an anti-SARS vaccine is completed this year.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that The task of developing an anti-SARS vaccine is completed this year.", "It is possibly not the case that The task of developing an anti-SARS vaccine is completed this year."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"not Science is a human endeavour.\"\n\nUsing: 'p' means 'Science is a human endeavour'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "not Science is a human endeavour.", "symbol_defs": {"p": "Science is a human endeavour"}, "correct_answer": "!p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that The experiment succeeds.\"\n(2) \"It is possibly not the case that The experiment succeeds.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that The experiment succeeds.", "It is possibly not the case that The experiment succeeds."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: It is not the case that The Brazil football team wins the championship.\nConclusion: It is possibly not the case that The Brazil football team wins the championship.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "It is not the case that The Brazil football team wins the championship.", "conclusion": "It is possibly not the case that The Brazil football team wins the championship.", "correct_answer": 16}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that The connection between things exists.\"\n(2) \"It is possibly true that The connection between things exists.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that The connection between things exists.", "It is possibly true that The connection between things exists."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that The project is completed ahead of schedule.\"\n(2) \"It is possibly true that The project is completed ahead of schedule.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that The project is completed ahead of schedule.", "It is possibly true that The project is completed ahead of schedule."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: It is not the case that There is life on Mars.\nConclusion: It is possibly not the case that There is life on Mars.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "It is not the case that There is life on Mars.", "conclusion": "It is possibly not the case that There is life on Mars.", "correct_answer": 16}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"It must be that Xiao Lin wins the championship.\"\n\nUsing: 'p' means 'Xiao Lin wins the championship'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "It must be that Xiao Lin wins the championship.", "symbol_defs": {"p": "Xiao Lin wins the championship"}, "correct_answer": "#p"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: The Brazil football team wins the championship.\nConclusion: It is possibly true that The Brazil football team wins the championship.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "The Brazil football team wins the championship.", "conclusion": "It is possibly true that The Brazil football team wins the championship.", "correct_answer": 15}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "According to formula 9, what can be inferred from:\n\"It is definitely true that The project is completed ahead of schedule.\"?\n\nOptions:\nA: It is possibly true that the project is completed ahead of schedule\nB: It is necessarily true that the project is completed ahead of schedule\nC: It is not true that the project is completed ahead of schedule\nD: It is impossible that the project is completed ahead of schedule\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "multiple_choice_formula", "formula_number": 9, "premise": "It is definitely true that The project is completed ahead of schedule.", "options": {"A": "It is possibly true that the project is completed ahead of schedule", "B": "It is necessarily true that the project is completed ahead of schedule", "C": "It is not true that the project is completed ahead of schedule", "D": "It is impossible that the project is completed ahead of schedule"}, "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: The project is completed ahead of schedule.\nConclusion: It is possibly true that The project is completed ahead of schedule.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "The project is completed ahead of schedule.", "conclusion": "It is possibly true that The project is completed ahead of schedule.", "correct_answer": 15}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: It is definitely true that The Chinese women's volleyball team is victorious.\nConclusion: It is definitely true that The Chinese women's volleyball team is victorious.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "It is definitely true that The Chinese women's volleyball team is victorious.", "conclusion": "It is definitely true that The Chinese women's volleyball team is victorious.", "correct_answer": 5}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"not Arrogance results in falling behind.\"\n\nUsing: 'q' means 'arrogance results in falling behind'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "not Arrogance results in falling behind.", "symbol_defs": {"q": "arrogance results in falling behind"}, "correct_answer": "!q"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that Science is a human endeavour.\"\n(2) \"It is possibly true that Science is a human endeavour.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that Science is a human endeavour.", "It is possibly true that Science is a human endeavour."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that There is life on Mars.\"\n(2) \"It is possibly not the case that There is life on Mars.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that There is life on Mars.", "It is possibly not the case that There is life on Mars."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"It must be that There is no life in a fire.\"\n\nUsing: 'q' means 'there is no life in a fire'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "It must be that There is no life in a fire.", "symbol_defs": {"q": "there is no life in a fire"}, "correct_answer": "#q"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that The Brazil football team wins the championship.\"\n(2) \"It is possibly not the case that The Brazil football team wins the championship.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that The Brazil football team wins the championship.", "It is possibly not the case that The Brazil football team wins the championship."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely true that The Chinese women's volleyball team is victorious.\"\n(2) \"It is possibly true that The Chinese women's volleyball team is victorious.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely true that The Chinese women's volleyball team is victorious.", "It is possibly true that The Chinese women's volleyball team is victorious."], "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Symbolize: \"not Li Ming plays well.\"\n\nUsing: 'q' means 'Li Ming plays well'\nFormat your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]", "ground_truth": {"type": "symbolization", "sentence": "not Li Ming plays well.", "symbol_defs": {"q": "Li Ming plays well"}, "correct_answer": "!q"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "What is the relationship between these propositions?\n(1) \"It is definitely not the case that The Brazil football team wins the championship.\"\n(2) \"It is possibly true that The Brazil football team wins the championship.\"\n\nOptions:\nA. * relationship\nB. x relationship\nC. @ relationship\nD. % relationship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "relationship", "statements": ["It is definitely not the case that The Brazil football team wins the championship.", "It is possibly true that The Brazil football team wins the championship."], "correct_answer": "A"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "According to formula 16, what can be inferred from:\n\"It is not the case that There is life on Mars.\"?\n\nOptions:\nA: Team A won the championship\nB: Team A will not win the championship\nC: Team A cannot win the championship\nD: Team A might not have won the championship\n\nAnswer in [[A/B/C/D]]", "ground_truth": {"type": "multiple_choice_formula", "formula_number": 16, "premise": "It is not the case that There is life on Mars.", "options": {"A": "Team A won the championship", "B": "Team A will not win the championship", "C": "Team A cannot win the championship", "D": "Team A might not have won the championship"}, "correct_answer": "D"}}
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{"data_source": "KorLogicTruthValueModalPropositions", "prompt": "Which formula corresponds to this inference?\nPremise: It is definitely true that Team A wins the championship.\nConclusion: It is possibly true that Team A wins the championship.\n\nAnswer with formula number in [[number]]", "ground_truth": {"type": "formula", "premise": "It is definitely true that Team A wins the championship.", "conclusion": "It is possibly true that Team A wins the championship.", "correct_answer": 1}}
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