{"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = p ∨ ¬q and C2 = ¬p ∨ ¬q be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["p", "¬q"], "C2": ["¬p", "¬q"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s ∨ ¬r ∨ p and C2 = ¬s ∨ q be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s", "¬r", "p"], "C2": ["¬s", "q"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s ∨ q and C2 = ¬s ∨ q be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s", "q"], "C2": ["¬s", "q"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s ∨ q and C2 = ¬s ∨ ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s", "q"], "C2": ["¬s", "¬p"], "expected": "q ∨ ¬p"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = q and C2 = ¬q ∨ ¬s ∨ ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["q"], "C2": ["¬q", "¬s", "¬r"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬s ∨ ¬p and C2 = ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬s", "¬p"], "C2": ["¬r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = q ∨ ¬p and C2 = ¬q ∨ s ∨ ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["q", "¬p"], "C2": ["¬q", "s", "¬r"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s ∨ p and C2 = ¬s ∨ r ∨ ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s", "p"], "C2": ["¬s", "r", "¬r"], "expected": "r ∨ ¬r ∨ p"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ ¬p and C2 = ¬r ∨ p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "¬p"], "C2": ["¬r", "p"], "expected": "¬p ∨ p"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = p ∨ ¬r and C2 = ¬p ∨ ¬s ∨ ¬q be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["p", "¬r"], "C2": ["¬p", "¬s", "¬q"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ ¬s and C2 = ¬p ∨ ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "¬s"], "C2": ["¬p", "¬r"], "expected": "¬s ∨ ¬r"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q ∨ ¬s and C2 = ¬q ∨ ¬s ∨ s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q", "¬s"], "C2": ["¬q", "¬s", "s"], "expected": "¬s ∨ s"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p and C2 = ¬p ∨ s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p"], "C2": ["¬p", "s"], "expected": "s"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ ¬q and C2 = ¬p ∨ s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "¬q"], "C2": ["¬p", "s"], "expected": "s ∨ ¬q"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ s and C2 = ¬r ∨ ¬s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "s"], "C2": ["¬r", "¬s"], "expected": "¬s ∨ s"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬s ∨ s and C2 = ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬s", "s"], "C2": ["¬r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ s ∨ ¬q and C2 = ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "s", "¬q"], "C2": ["¬p"], "expected": "s ∨ ¬q"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ ¬q and C2 = ¬p ∨ ¬q ∨ ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "¬q"], "C2": ["¬p", "¬q", "¬r"], "expected": "¬q ∨ ¬r"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ ¬r and C2 = ¬p ∨ ¬q, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "¬r"], "C2": ["¬p", "¬q"], "expected": "¬q ∨ ¬r"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p and C2 = ¬p ∨ s ∨ ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p"], "C2": ["¬p", "s", "¬r"], "expected": "s ∨ ¬r"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬s ∨ s ∨ ¬r and C2 = ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬s", "s", "¬r"], "C2": ["¬r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s ∨ ¬p and C2 = ¬s ∨ ¬p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s", "¬p"], "C2": ["¬s", "¬p"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r and C2 = ¬s ∨ ¬q ∨ q be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r"], "C2": ["¬s", "¬q", "q"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r and C2 = ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r"], "C2": ["¬r"], "expected": "0"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = p ∨ ¬r and C2 = ¬p ∨ r ∨ ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["p", "¬r"], "C2": ["¬p", "r", "¬r"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬p and C2 = s ∨ ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬p"], "C2": ["s", "¬r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s and C2 = ¬s ∨ q ∨ ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s"], "C2": ["¬s", "q", "¬r"], "expected": "¬r ∨ q"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r ∨ s ∨ ¬p and C2 = ¬r ∨ ¬s ∨ s be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r", "s", "¬p"], "C2": ["¬r", "¬s", "s"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ ¬s and C2 = ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "¬s"], "C2": ["¬r"], "expected": "¬s"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q ∨ s ∨ ¬r and C2 = ¬q ∨ ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q", "s", "¬r"], "C2": ["¬q", "¬p"], "expected": "s ∨ ¬r ∨ ¬p"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s ∨ ¬r and C2 = ¬s ∨ ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s", "¬r"], "C2": ["¬s", "¬r"], "expected": "¬r"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r and C2 = ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r"], "C2": ["¬r"], "expected": "0"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r and C2 = ¬r ∨ q ∨ ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r"], "C2": ["¬r", "q", "¬p"], "expected": "q ∨ ¬p"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = q ∨ ¬p and C2 = ¬q ∨ ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["q", "¬p"], "C2": ["¬q", "¬r"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = q ∨ ¬p and C2 = s ∨ ¬p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["q", "¬p"], "C2": ["s", "¬p"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r ∨ s ∨ q and C2 = r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r", "s", "q"], "C2": ["r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬s and C2 = ¬s ∨ q ∨ ¬p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬s"], "C2": ["¬s", "q", "¬p"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q ∨ ¬s and C2 = ¬q, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q", "¬s"], "C2": ["¬q"], "expected": "¬s"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ s ∨ ¬q and C2 = ¬r ∨ s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "s", "¬q"], "C2": ["¬r", "s"], "expected": "s ∨ ¬q"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬q ∨ q and C2 = s ∨ ¬p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬q", "q"], "C2": ["s", "¬p"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s and C2 = ¬s ∨ r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s"], "C2": ["¬s", "r"], "expected": "r"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬p ∨ ¬r ∨ p and C2 = ¬q be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬p", "¬r", "p"], "C2": ["¬q"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ q and C2 = ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "q"], "C2": ["¬p"], "expected": "q"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p and C2 = ¬p ∨ s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p"], "C2": ["¬p", "s"], "expected": "s"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s ∨ ¬r ∨ p and C2 = ¬s ∨ ¬p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s", "¬r", "p"], "C2": ["¬s", "¬p"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬q ∨ p and C2 = p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬q", "p"], "C2": ["p"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q ∨ ¬s and C2 = ¬q, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q", "¬s"], "C2": ["¬q"], "expected": "¬s"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q ∨ s ∨ p and C2 = ¬q ∨ s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q", "s", "p"], "C2": ["¬q", "s"], "expected": "s ∨ p"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q ∨ ¬s and C2 = ¬q ∨ ¬r ∨ ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q", "¬s"], "C2": ["¬q", "¬r", "¬p"], "expected": "¬s ∨ ¬r ∨ ¬p"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ s ∨ q and C2 = ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "s", "q"], "C2": ["¬r"], "expected": "s ∨ q"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ s and C2 = ¬p ∨ r ∨ ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "s"], "C2": ["¬p", "r", "¬r"], "expected": "r ∨ s ∨ ¬r"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬s ∨ r ∨ p and C2 = r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬s", "r", "p"], "C2": ["r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s ∨ ¬q and C2 = ¬s be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s", "¬q"], "C2": ["¬s"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p and C2 = ¬p ∨ r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p"], "C2": ["¬p", "r"], "expected": "r"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r ∨ p and C2 = q be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r", "p"], "C2": ["q"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r and C2 = ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r"], "C2": ["¬r"], "expected": "0"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q and C2 = ¬q ∨ s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q"], "C2": ["¬q", "s"], "expected": "s"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s and C2 = ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s"], "C2": ["¬r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ r ∨ s and C2 = ¬p ∨ r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "r", "s"], "C2": ["¬p", "r"], "expected": "r ∨ s"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = p and C2 = ¬p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["p"], "C2": ["¬p"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q ∨ p and C2 = ¬q ∨ r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q", "p"], "C2": ["¬q", "r"], "expected": "r ∨ p"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = p ∨ ¬s ∨ r and C2 = ¬p ∨ r ∨ ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["p", "¬s", "r"], "C2": ["¬p", "r", "¬r"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s ∨ r ∨ p and C2 = ¬s ∨ ¬q ∨ ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s", "r", "p"], "C2": ["¬s", "¬q", "¬p"], "expected": "r ∨ ¬q ∨ p ∨ ¬p"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s ∨ p ∨ ¬p and C2 = ¬s ∨ ¬q ∨ q, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s", "p", "¬p"], "C2": ["¬s", "¬q", "q"], "expected": "q ∨ ¬q ∨ p ∨ ¬p"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ ¬q ∨ q and C2 = ¬r ∨ ¬s ∨ s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "¬q", "q"], "C2": ["¬r", "¬s", "s"], "expected": "¬s ∨ s ∨ ¬q ∨ q"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ q and C2 = ¬r ∨ s ∨ ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "q"], "C2": ["¬r", "s", "¬p"], "expected": "s ∨ q ∨ ¬p"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ s ∨ q and C2 = ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "s", "q"], "C2": ["¬p"], "expected": "s ∨ q"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r and C2 = ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r"], "C2": ["¬r"], "expected": "0"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q ∨ ¬s ∨ ¬p and C2 = ¬q ∨ ¬s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q", "¬s", "¬p"], "C2": ["¬q", "¬s"], "expected": "¬s ∨ ¬p"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r and C2 = ¬s ∨ r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r"], "C2": ["¬s", "r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ ¬s ∨ s and C2 = ¬r ∨ p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "¬s", "s"], "C2": ["¬r", "p"], "expected": "¬s ∨ s ∨ p"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r ∨ ¬q ∨ ¬p and C2 = ¬r ∨ s be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r", "¬q", "¬p"], "C2": ["¬r", "s"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r and C2 = ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r"], "C2": ["¬r"], "expected": "0"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s ∨ ¬q and C2 = r ∨ ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s", "¬q"], "C2": ["r", "¬r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s ∨ ¬p and C2 = ¬s ∨ ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s", "¬p"], "C2": ["¬s", "¬p"], "expected": "¬p"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r and C2 = s be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r"], "C2": ["s"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ p and C2 = ¬r ∨ ¬s ∨ ¬q, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "p"], "C2": ["¬r", "¬s", "¬q"], "expected": "¬s ∨ ¬q ∨ p"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r ∨ ¬s and C2 = ¬r ∨ p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r", "¬s"], "C2": ["¬r", "p"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ ¬s ∨ q and C2 = ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "¬s", "q"], "C2": ["¬p"], "expected": "¬s ∨ q"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = q and C2 = ¬s be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["q"], "C2": ["¬s"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = q ∨ s ∨ p and C2 = ¬q ∨ ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["q", "s", "p"], "C2": ["¬q", "¬r"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s ∨ ¬p and C2 = q be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s", "¬p"], "C2": ["q"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q ∨ ¬r and C2 = ¬q ∨ r ∨ s, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q", "¬r"], "C2": ["¬q", "r", "s"], "expected": "r ∨ s ∨ ¬r"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = q and C2 = s be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["q"], "C2": ["s"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬r and C2 = s be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬r"], "C2": ["s"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s and C2 = p ∨ ¬p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s"], "C2": ["p", "¬p"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ ¬q ∨ p and C2 = ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "¬q", "p"], "C2": ["¬r"], "expected": "¬q ∨ p"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ ¬s and C2 = ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "¬s"], "C2": ["¬p"], "expected": "¬s"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = r ∨ p ∨ ¬p and C2 = ¬r ∨ ¬s ∨ p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["r", "p", "¬p"], "C2": ["¬r", "¬s", "p"], "expected": "¬s ∨ p ∨ ¬p"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r and C2 = ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r"], "C2": ["¬r"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ r and C2 = ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "r"], "C2": ["¬p"], "expected": "r"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = q and C2 = ¬q, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["q"], "C2": ["¬q"], "expected": "0"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = r and C2 = r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["r"], "C2": ["r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = p and C2 = ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["p"], "C2": ["¬r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = q ∨ ¬r ∨ ¬p and C2 = s ∨ ¬r be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["q", "¬r", "¬p"], "C2": ["s", "¬r"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = s ∨ q and C2 = ¬s be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["s", "q"], "C2": ["¬s"], "expected": true}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s ∨ r and C2 = ¬s ∨ ¬r, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s", "r"], "C2": ["¬s", "¬r"], "expected": "r ∨ ¬r"}} {"data_source": "KorLogicResolution", "prompt": "Can clauses C1 = ¬s ∨ ¬q ∨ p and C2 = ¬q ∨ p be resolved?\nA. Yes\nB. No\nAnswer format: [[option]].", "ground_truth": {"problem_type": "can_resolve", "C1": ["¬s", "¬q", "p"], "C2": ["¬q", "p"], "expected": false}} {"data_source": "KorLogicResolution", "prompt": "If C1 = p ∨ q and C2 = ¬p ∨ ¬q, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["p", "q"], "C2": ["¬p", "¬q"], "expected": "¬q ∨ q"}} {"data_source": "KorLogicResolution", "prompt": "If C1 = s ∨ r ∨ ¬q and C2 = ¬s ∨ ¬p, what is dispel(C1, C2)?\nProvide answer in format [[result]].\nFor multiple results use [[result1;result2]].\nFor empty clause write [[0]].", "ground_truth": {"problem_type": "compute_dispel", "C1": ["s", "r", "¬q"], "C2": ["¬s", "¬p"], "expected": "r ∨ ¬q ∨ ¬p"}}