| {"id": "S01", "description": "Modus Ponens, implication cited first.", "proof": "PROOF\npremises: IMPL(p, q), p\ngoal: q\n1. IMPL(p, q) [premise]\n2. p [premise]\n3. q [IMPL_E 1, 2]\nEND", "accepted": true, "reason_class": null, "reason_id": null} |
| {"id": "S02", "description": "Left projection of a conjunction.", "proof": "PROOF\npremises: AND(p, q)\ngoal: p\n1. AND(p, q) [premise]\n2. p [AND_E1 1]\nEND", "accepted": true, "reason_class": null, "reason_id": null} |
| {"id": "S03", "description": "Explosion at the top level.", "proof": "PROOF\npremises: p, NOT(p)\ngoal: q\n1. p [premise]\n2. NOT(p) [premise]\n3. BOT [NOT_E 1, 2]\n4. q [BOT_E 3]\nEND", "accepted": true, "reason_class": null, "reason_id": null} |
| {"id": "R01", "description": "用 AND_E2 取出右侧合取项。", "proof": "PROOF\npremises: AND(p, q)\ngoal: q\n1. AND(p, q) [premise]\n2. q [AND_E2 1]\nEND", "accepted": false, "reason_class": "ALIEN_AXIOM_DISABLED", "reason_id": "X01"} |
| {"id": "R02", "description": "IMPL_E 先引用前件，再引用蕴含式。", "proof": "PROOF\npremises: p, IMPL(p, q)\ngoal: q\n1. p [premise]\n2. IMPL(p, q) [premise]\n3. q [IMPL_E 1, 2]\nEND", "accepted": false, "reason_class": "ALIEN_SIDE_CONDITION", "reason_id": "X02"} |
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