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"sampled_rows": [ 22, 73 ] }, { "path": "test/flip_role/people6_num100.jsonl", "sha256": "ccfee7ea7e2f24376e88193a979a20ac6410ec2458c534af7e4daedab4ff47ff", "published_rows": 100, "sampled_rows": [ 39, 62 ] }, { "path": "test/flip_role/people7_num100.jsonl", "sha256": "b5720e5a434747f323f90086ac6bae7ba33d1b6ba8d617424f599bfabdbcdeca", "published_rows": 100, "sampled_rows": [ 1, 91 ] }, { "path": "test/flip_role/people8_num100.jsonl", "sha256": "d668973f128b119ad065e0b58f33099516dbd801f0e7957c00e876115e8119dc", "published_rows": 100, "sampled_rows": [ 64, 96 ] } ], "label_validation": "all rows independently solved with python-constraint" }, "dataset_manifest_sha256": "2e55a7d8b07e55b035a8129889b11dff186589bcad97c02c0ce553f38249212f", "pure": [ { "id": "perturbed_leaf-p2-r006", "num": 2, "pred": { "James": "knight", "Sophia": "knave" }, "gold": { "James": "knight", "Sophia": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people2_num100.jsonl", "file_sha256": "541c5dadb60c54e4c9973cafa0dbd69635538fb44aa5dcb28dc64ea7a78a56be", "row": 6, "dataset_index": 9 }, "codes": [], "text": "### Step 1: Define variables and statements\nLet \\( J \\) represent James and \\( S \\) represent Sophia. \n- James's statement: \"Sophia is not a knight\" (i.e., \\( S \\) is a knave). \n- Sophia's statement: \"James is a knight if and only if James is a knave\" (i.e., \\( J \\leftrightarrow \\neg J \\)). \n\n\n### Step 2: Case 1: Assume James is a knight (\\( J = \\text{knight} \\))\n- If James is a knight, his statement is true, so Sophia is a knave (\\( S = \\text{knave} \\)). \n- Now, check Sophia's statement: \"James is a knight if and only if James is a knave\". Since \\( J \\) is a knight, \"James is a knight\" is true, and \"James is a knave\" is false. The \"if and only if\" (\\(\\leftrightarrow\\)) of a true statement and a false statement is false. Since Sophia is a knave, she lies, which is consistent with her statement being false. \n\n\n### Step 3: Case 2: Assume James is a knave (\\( J = \\text{knave} \\))\n- If James is a knave, his statement \"Sophia is not a knight\" is a lie, so Sophia is a knight (\\( S = \\text{knight} \\)). \n- Now, check Sophia's statement: \"James is a knight if and only if James is a knave\". Since \\( J \\) is a knave, \"James is a knight\" is false, and \"James is a knave\" is true. The \"if and only if\" of a false statement and a true statement is false. However, Sophia is a knight, who always tells the truth. This is a contradiction because Sophia's statement would be false, but she is supposed to tell the truth. Thus, Case 2 is impossible. \n\n\n### Conclusion\nJames is a knight and Sophia is a knave.\n\n```json\n{\"James\": \"knight\", \"Sophia\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 4.673, "provider_receipts": [ { "turn": 1, "response_id": "021785352004527314cbdff50da45319a607e6bbd0e7cd8c1e383", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 237, "completion_tokens": 1014, "total_tokens": 1251, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p2-r011", "num": 2, "pred": { "Aiden": "knight", "Lucas": "knave" }, "gold": { "Aiden": "knight", "Lucas": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people2_num100.jsonl", "file_sha256": "541c5dadb60c54e4c9973cafa0dbd69635538fb44aa5dcb28dc64ea7a78a56be", "row": 11, "dataset_index": 17 }, "codes": [], "text": "### Step 1: Define the statements\nLet \\( A \\) represent Aiden and \\( L \\) represent Lucas. \n- Aiden's statement: \"If Aiden is a knight then Lucas is a knave\" translates to the logical expression \\( A \\rightarrow \\neg L \\).\n- Lucas's statement: \"Lucas is a knight and Aiden is a knight\" translates to the logical expression \\( L \\land A \\).\n\n\n### Step 2: Case 1: Assume Aiden is a knight (\\( A = \\text{knight} \\))\nIf \\( A \\) is a knight, then his statement \\( A \\rightarrow \\neg L \\) must be true. Since \\( A \\) is true, the conditional \\( A \\rightarrow \\neg L \\) is true only if \\( \\neg L \\) is true, so \\( L \\) must be a knave (\\( L = \\text{knave} \\)). \n\nNow, check Lucas's statement. Since \\( L \\) is a knave, his statement \\( L \\land A \\) is false. Substituting values: \\( \\text{knave} \\land \\text{knight} = \\text{false} \\), which is consistent with Lucas being a knave (as knaves lie).\n\n\n### Step 3: Case 2: Assume Aiden is a knave (\\( A = \\text{knave} \\))\nIf \\( A \\) is a knave, his statement \\( A \\rightarrow \\neg L \\) must be false. A conditional statement \\( P \\rightarrow Q \\) is false only when \\( P \\) is true and \\( Q \\) is false. However, \\( A \\) is a knave, so \\( P \\) ( \\( A \\) is a knight) is false. A false premise makes the conditional \\( A \\rightarrow \\neg L \\) true, which contradicts \\( A \\) being a knave (since knaves lie). Thus, this case is impossible.\n\n\n### Conclusion\nAiden is a knight and Lucas is a knave.\n\n```json\n{\"Aiden\": \"knight\", \"Lucas\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 4.875, "provider_receipts": [ { "turn": 1, "response_id": "021785352009080314cbdff50da45319a607e6bbd0e7cd8849e0c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 246, "completion_tokens": 1139, "total_tokens": 1385, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p3-r006", "num": 3, "pred": { "Olivia": "knight", "Amelia": "knave", "James": "knave" }, "gold": { "Olivia": "knight", "Amelia": "knave", "James": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people3_num100.jsonl", "file_sha256": "4c3d767065edb62d19728da7a4e4e4c63f550c1719c3600c868f50f48715711e", "row": 6, "dataset_index": 6 }, "codes": [], "text": "### Step 1: Define variables and statements\nLet \\( O \\) be true if Olivia is a knight, false otherwise. \nLet \\( A \\) be true if Amelia is a knight, false otherwise. \nLet \\( J \\) be true if James is a knight, false otherwise. \n\n- Olivia's statement: \"James is a knave\" → \\( O \\leftrightarrow \\neg J \\). \n- Amelia's statement: \"Olivia is a knave\" → \\( A \\leftrightarrow \\neg O \\). \n- James's statement: \"James is a knight if and only if Amelia is a knave\" → \\( J \\leftrightarrow \\neg A \\). \n\n\n### Step 2: Analyze cases for Olivia being a knight (\\( O = \\text{true} \\))\n- If \\( O = \\text{true} \\), then Olivia's statement is true, so \\( \\neg J = \\text{true} \\) → \\( J = \\text{false} \\) (James is a knave). \n- James is a knave, so his statement \\( J \\leftrightarrow \\neg A \\) is false. A biconditional \\( J \\leftrightarrow \\neg A \\) is false when \\( J \\) and \\( \\neg A \\) have different truth values. Since \\( J = \\text{false} \\), \\( \\neg A \\) must be true → \\( A = \\text{false} \\) (Amelia is a knave). \n- Amelia is a knave, so her statement \"Olivia is a knave\" is false. But \\( O = \\text{true} \\), so \"Olivia is a knave\" is false, which is consistent with Amelia being a knave. \n\n\n### Step 3: Analyze case for Olivia being a knave (\\( O = \\text{false} \\))\n- If \\( O = \\text{false} \\), then Olivia's statement is false, so \\( \\neg J = \\text{false} \\) → \\( J = \\text{true} \\) (James is a knight). \n- James is a knight, so his statement \\( J \\leftrightarrow \\neg A \\) is true. A biconditional \\( J \\leftrightarrow \\neg A \\) is true when \\( J \\) and \\( \\neg A \\) have the same truth value. Since \\( J = \\text{true} \\), \\( \\neg A \\) must be true → \\( A = \\text{false} \\) (Amelia is a knave). \n- Amelia is a knave, so her statement \"Olivia is a knave\" is false. But \\( O = \\text{false} \\), so \"Olivia is a knave\" is true, which contradicts Amelia being a knave. Thus, this case is invalid. \n\n\n### Final conclusion\nThe only consistent case is \\( O = \\text{true} \\), \\( A = \\text{false} \\), \\( J = \\text{false} \\).\n\n```json\n{\"Olivia\": \"knight\", \"Amelia\": \"knave\", \"James\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 12.823, "provider_receipts": [ { "turn": 1, "response_id": "021785352013957314cbdff50da45319a607e6bbd0e7cd86f99f4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 247, "completion_tokens": 3003, "total_tokens": 3250, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p3-r092", "num": 3, "pred": { "William": "knight", "Isabella": "knave", "David": "knave" }, "gold": { "William": "knight", "Isabella": "knave", "David": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people3_num100.jsonl", "file_sha256": "4c3d767065edb62d19728da7a4e4e4c63f550c1719c3600c868f50f48715711e", "row": 92, "dataset_index": 98 }, "codes": [], "text": "```json\n{\"William\": \"knight\", \"Isabella\": \"knave\", \"David\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 2.697, "provider_receipts": [ { "turn": 1, "response_id": "021785352026781314cbdff50da45319a607e6bbd0e7cd8a14392", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 249, "completion_tokens": 600, "total_tokens": 849, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p4-r066", "num": 4, "pred": { "Scarlett": "knave", "Sophia": "knave", "Logan": "knight", "Victoria": "knight" }, "gold": { "Scarlett": "knave", "Sophia": "knave", "Logan": "knight", "Victoria": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people4_num100.jsonl", "file_sha256": "b3811d1ea4bbdb2ade55dde240361470516e0541c58b5c526609f99ad6a038d7", "row": 66, "dataset_index": 69 }, "codes": [], "text": "### Step 1: Analyze Victoria's statement\nVictoria says, \"Logan is a knave or Logan is a knight\". This is a tautology (always true). Since knights tell the truth, Victoria must be a **knight**.\n\n### Step 2: Analyze Logan's statement\nLogan says, \"Victoria is a knight\". Since Victoria is determined to be a knight, Logan's statement is true. Therefore, Logan is a **knight**.\n\n### Step 3: Analyze Scarlett's statement\nScarlett says, \"Victoria is a knave\". But Victoria is a knight, so Scarlett's statement is false. Thus, Scarlett is a **knave**.\n\n### Step 4: Analyze Sophia's statement\nSophia says, \"Scarlett is a knight\". Since Scarlett is a knave, Sophia's statement is false. Therefore, Sophia is a **knave**.\n\n### Final Answer\n{\"Scarlett\": \"knave\", \"Sophia\": \"knave\", \"Logan\": \"knight\", \"Victoria\": \"knight\"}", "used_python_constraint": false, "duration_s": 4.005, "provider_receipts": [ { "turn": 1, "response_id": "021785352029480314cbdff50da45319a607e6bbd0e7cd812b6f3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 264, "completion_tokens": 815, "total_tokens": 1079, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p4-r082", "num": 4, "pred": { "Amelia": "knave", "Riley": "knight", "Victoria": "knave", "Elizabeth": "knave" }, "gold": { "Amelia": "knave", "Riley": "knight", "Victoria": "knave", "Elizabeth": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people4_num100.jsonl", "file_sha256": "b3811d1ea4bbdb2ade55dde240361470516e0541c58b5c526609f99ad6a038d7", "row": 82, "dataset_index": 88 }, "codes": [], "text": "### Step 1: Analyze Elizabeth's statement\nElizabeth claims \"Amelia is a knave and Amelia is a knight\". This is a contradiction because a person cannot be both a knave and a knight simultaneously. Since Elizabeth is lying, Elizabeth must be a **knave**.\n\n\n### Step 2: Analyze Amelia's statement\nAmelia says \"Elizabeth is a knight\". Since we determined Elizabeth is a knave, Amelia's statement is false. Therefore, Amelia is a **knave**.\n\n\n### Step 3: Analyze Riley's statement\nRiley says \"Elizabeth is not a knight\". Since Elizabeth is a knave, Riley's statement is true. Thus, Riley is a **knight**.\n\n\n### Step 4: Analyze Victoria's statement\nVictoria says \"Elizabeth is a knight or Amelia is a knight\". We know Elizabeth is a knave (so \"Elizabeth is a knight\" is false) and Amelia is a knave (so \"Amelia is a knight\" is false). A logical OR of two false statements is false. Since Victoria's statement is false, Victoria is a **knave**.\n\n\n### Final Answer\n{\"Amelia\": \"knave\", \"Riley\": \"knight\", \"Victoria\": \"knave\", \"Elizabeth\": \"knave\"}", "used_python_constraint": false, "duration_s": 7.811, "provider_receipts": [ { "turn": 1, "response_id": "021785352033485314cbdff50da45319a607e6bbd0e7cd8a2bf0b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 261, "completion_tokens": 1643, "total_tokens": 1904, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p5-r016", "num": 5, "pred": { "Penelope": "knave", "Scarlett": "knight", "Zoey": "knight", "David": "knight", "Logan": "knight" }, "gold": { "Penelope": "knight", "Scarlett": "knave", "Zoey": "knave", "David": "knight", "Logan": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people5_num100.jsonl", "file_sha256": "17529110798b0a659286983d0cf4e0d3b5a2b560dfb6ab3b3acb1b61ac9d7da7", "row": 16, "dataset_index": 16 }, "codes": [], "text": "### Step 1: Analyze Penelope's statement\nPenelope says \"Penelope is a knight or Logan is a knight\" ( \\( P \\lor L \\) ). Assume Penelope is a knave (\\( P = \\text{knave} \\)), then her statement must be false. For \\( P \\lor L \\) to be false, both \\( P \\) and \\( L \\) must be false. But if \\( P \\) is knave, \\( P \\lor L \\) is false only if \\( L \\) is knave. Wait, no—revising: if Penelope is a knave (\\( P = \\text{knave} \\)), her statement \\( P \\lor L \\) is false, so \\( L \\) must be knave? No, mistake earlier. Let's start over with correct logic:\n\n### Step 2: Assume Penelope is a knave (\\( P = \\text{knave} \\))\n- Penelope's statement \\( P \\lor L \\) is false, so \\( L = \\text{knave} \\) (since \\( P \\) is false).\n- Scarlett says \"Penelope is not a knight\" (\\( \\neg P \\)). Since \\( P = \\text{knave} \\), \\( \\neg P = \\text{true} \\), so Scarlett is a knight (\\( S = \\text{knight} \\)).\n- Zoey says \"Scarlett is a knight or Logan is a knave\" (\\( S \\lor \\neg L \\)). \\( S = \\text{knight} \\) and \\( L = \\text{knave} \\) implies \\( \\neg L = \\text{true} \\), so \\( S \\lor \\neg L = \\text{true} \\). Thus, Zoey is a knight (\\( Z = \\text{knight} \\)).\n- David says \"If Penelope is a knave then Zoey is a knight\" (\\( \\neg P \\to Z \\)). Since \\( \\neg P = \\text{true} \\) and \\( Z = \\text{knight} \\), the implication is true. So David is a knight (\\( D = \\text{knight} \\)).\n- Logan says \"If David is a knave then Zoey is a knight\" (\\( \\neg D \\to Z \\)). \\( D = \\text{knight} \\) implies \\( \\neg D = \\text{false} \\), so \\( \\neg D \\to Z = \\text{true} \\). Logan's statement is true, so Logan is a knight (\\( L = \\text{knight} \\))? Wait, no—earlier mistake. Wait, if \\( L = \\text{knave} \\), but Logan's statement is true, so Logan must be a knight. Contradiction? No, re-express:\n\n### Correcting the mistake\nWait, if Penelope is a knave (\\( P = \\text{knave} \\)):\n- Penelope's statement \\( P \\lor L \\) is false → \\( L = \\text{knave} \\).\n- Scarlett's statement \\( \\neg P = \\text{true} \\) → Scarlett is knight.\n- Zoey's statement \\( S \\lor \\neg L = \\text{true} \\) (since \\( S = \\text{knight} \\) and \\( L = \\text{knave} \\)) → Zoey is knight.\n- David's statement \\( \\neg P \\to Z = \\text{true} \\) (since \\( \\neg P = \\text{true} \\) and \\( Z = \\text{knight} \\)) → David is knight.\n- Logan's statement \\( \\neg D \\to Z = \\text{true} \\). Since \\( D = \\text{knight} \\), \\( \\neg D = \\text{false} \\), so \\( \\neg D \\to Z = \\text{true} \\). But Logan is supposed to be knave, so his statement must be false. Wait, no—Logan is knave, so his statement must be false. The only way \\( \\neg D \\to Z \\) is false is if \\( \\neg D = \\text{true} \\) and \\( Z = \\text{false} \\). But \\( D = \\text{knight} \\), so \\( \\neg D = \\text{false} \\). Contradiction. \n\n### Starting over with Penelope as knight\nAssume Penelope is a knight (\\( P = \\text{knight} \\)):\n- Penelope's statement \\( P \\lor L = \\text{true} \\) → \\( L \\) can be knight or knave.\n- Scarlett's statement \\( \\neg P = \\text{false} \\) → Scarlett is knave.\n- David's statement \\( \\neg P \\to Z = \\text{true} \\) (since \\( \\neg P = \\text{false} \\)) → \\( Z \\) can be anything.\n- Zoey's statement \\( S \\lor \\neg L = \\text{true} \\). \\( S = \\text{knave} \\), so \\( \\neg L = \\text{true} \\) → \\( L = \\text{knave} \\).\n- Logan's statement \\( \\neg D \\to Z = \\text{true} \\). If \\( Z = \\text{knight} \\), then \\( \\neg D \\to Z = \\text{true} \\) regardless of \\( D \\). But Zoey's statement requires \\( L = \\text{knave} \\), so \\( Z = \\text{knight} \\). Then David is knight, Logan is knight. But Penelope's statement \\( P \\lor L = \\text{true} \\lor \\text{knave} = \\text{true} \\), but Scarlett is knave, Zoey is knight, David is knight, Logan is knight. Wait, no—this also leads to contradiction.\n\n### Correct resolution\nLet's use the correct logical deductions:\n- From Scarlett's statement: \\( \\neg P \\) is true → \\( P = \\text{knave} \\).\n- Penelope's statement: \\( P \\lor L \\) is false → \\( L = \\text{knave} \\).\n- Zoey's statement: \\( S \\lor \\neg L \\) is true. \\( L = \\text{knave} \\) → \\( \\neg L = \\text{true} \\) → \\( S = \\text{knight} \\).\n- David's statement: \\( \\neg P \\to Z \\) is true. \\( \\neg P = \\text{true} \\) → \\( Z = \\text{knight} \\).\n- Logan's statement: \\( \\neg D \\to Z \\) is true. \\( Z = \\text{knight} \\) → \\( \\neg D \\to Z \\) is true regardless of \\( D \\). But Logan is knave, so his statement must be false. Wait, no—Logan is knave, so his statement is false. The only way \\( \\neg D \\to Z \\) is false is if \\( \\neg D = \\text{true} \\) and \\( Z = \\text{false} \\). But \\( Z = \\text{knight} \\), so contradiction. \n\nWait, I made a mistake in Logan's statement. Logan's statement is \"If David is a knave then Zoey is a knight\". If David is a knight, then \"If David is a knave\" is false, so the implication is true. Logan is a knave, so his statement must be false. Therefore, the implication must be false. But an implication is false only if antecedent is true and consequent is false. Since antecedent is false, implication is true. Therefore, Logan's statement is true, so Logan is a knight. \n\nAh! Here's the key:\n- Penelope: knave (\\( P = \\text{knave} \\))\n- Scarlett: knight (\\( S = \\text{knight} \\))\n- Zoey: knight (\\( Z = \\text{knight} \\))\n- David: knight (\\( D = \\text{knight} \\))\n- Logan: knight (\\( L = \\text{knight} \\))\n\nVerification:\n- Penelope (knave) lies: \"P∨L\" is F∨T=T, which is a lie.\n- Scarlett (knight) tells truth: \"¬P\" is T.\n- Zoey (knight) tells truth: \"S∨¬L\" is T∨¬T=T∨F=T.\n- David (knight) tells truth: \"¬P→Z\" is T→T=T.\n- Logan (knight) tells truth: \"¬D→Z\" is ¬T→T=F→T=T.\n\nFinal Answer:\n{\"Penelope\": \"knave\", \"Scarlett\": \"knight\", \"Zoey\": \"knight\", \"David\": \"knight\", \"Logan\": \"knight\"}", "used_python_constraint": false, "duration_s": 45.443, "provider_receipts": [ { "turn": 1, "response_id": "021785352041298314cbdff50da45319a607e6bbd0e7cd8297d51", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 302, "completion_tokens": 10938, "total_tokens": 11240, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p5-r041", "num": 5, "pred": { "Henry": "knave", "Aurora": "knight", "Joseph": "knight", "Jackson": "knave", "Ava": "knave" }, "gold": { "Henry": "knave", "Aurora": "knight", "Joseph": "knight", "Jackson": "knave", "Ava": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people5_num100.jsonl", "file_sha256": "17529110798b0a659286983d0cf4e0d3b5a2b560dfb6ab3b3acb1b61ac9d7da7", "row": 41, "dataset_index": 41 }, "codes": [], "text": "### Step 1: Analyze Aurora's statement\nAurora says, \"Henry is a knight or Henry is a knave\". This is a tautology (always true). Since knights tell the truth, Aurora must be a **knight**.\n\n\n### Step 2: Analyze Jackson's statement\nJackson says, \"Aurora is not a knight\". But Aurora is a knight, so Jackson's statement is **false**. Therefore, Jackson is a **knave**.\n\n\n### Step 3: Analyze Joseph's statement\nJoseph says, \"Jackson is not a knight\". Since Jackson is a knave, Joseph's statement is **true**. Therefore, Joseph is a **knight**.\n\n\n### Step 4: Analyze Ava's statement\nAva says, \"Joseph is a knave or Jackson is a knight\". Joseph is a knight (so \"Joseph is a knave\" is false) and Jackson is a knave (so \"Jackson is a knight\" is false). Thus, \"false or false\" is **false**. Since Ava's statement is false, Ava is a **knave**.\n\n\n### Step 5: Analyze Henry's statement\nHenry says, \"Aurora is a knave or Ava is a knight\". Aurora is a knight (so \"Aurora is a knave\" is false) and Ava is a knave (so \"Ava is a knight\" is false). Thus, \"false or false\" is **false**. Since Henry's statement is false, Henry is a **knave**.\n\n\n### Final Answer\n{\"Henry\": \"knave\", \"Aurora\": \"knight\", \"Joseph\": \"knight\", \"Jackson\": \"knave\", \"Ava\": \"knave\"}", "used_python_constraint": false, "duration_s": 4.182, "provider_receipts": [ { "turn": 1, "response_id": "021785352086741314cbdff50da45319a607e6bbd0e7cd897c732", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 288, "completion_tokens": 857, "total_tokens": 1145, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p6-r017", "num": 6, "pred": { "Scarlett": "knight", "Jacob": "knight", "Benjamin": "knave", "Charlotte": "knave", "David": "knight", "Zoey": "knave" }, "gold": { "Scarlett": "knight", "Jacob": "knight", "Benjamin": "knave", "Charlotte": "knave", "David": "knight", "Zoey": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people6_num100.jsonl", "file_sha256": "032c0c253bbe574335c741bb5ba7d07b48f622e217dc939f72a633ef9fbe46b0", "row": 17, "dataset_index": 17 }, "codes": [], "text": "{\"Scarlett\": \"knight\", \"Jacob\": \"knight\", \"Benjamin\": \"knave\", \"Charlotte\": \"knave\", \"David\": \"knight\", \"Zoey\": \"knave\"}", "used_python_constraint": false, "duration_s": 14.902, "provider_receipts": [ { "turn": 1, "response_id": "021785352090926314cbdff50da45319a607e6bbd0e7cd8398d04", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 317, "completion_tokens": 3562, "total_tokens": 3879, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p6-r051", "num": 6, "pred": { "Ava": "knight", "Liam": "knight", "Jacob": "knight", "James": "knight", "Noah": "knight", "Joseph": "knave" }, "gold": { "Ava": "knight", "Liam": "knight", "Jacob": "knight", "James": "knight", "Noah": "knight", "Joseph": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people6_num100.jsonl", "file_sha256": "032c0c253bbe574335c741bb5ba7d07b48f622e217dc939f72a633ef9fbe46b0", "row": 51, "dataset_index": 51 }, "codes": [], "text": "### Step 1: Analyze Noah's statement\nNoah said, \"Jacob is a knight or Jacob is a knave\". This is a tautology (always true), so Noah must be a knight.\n\n\n### Step 2: Analyze Joseph's statement\nJoseph said, \"Noah is not a knight\". Since Noah is a knight, Joseph's statement is false. Therefore, Joseph is a knave.\n\n\n### Step 3: Analyze Ava's statement\nAva said, \"Joseph is a knave\". Since Joseph is a knave, Ava's statement is true. Therefore, Ava is a knight.\n\n\n### Step 4: Analyze Liam's statement\nLiam said, \"Jacob is a knave if and only if Joseph is a knight\". Joseph is a knave, so \"Joseph is a knight\" is false. For the biconditional \\( (Jacob = \\text{knave}) \\leftrightarrow (Joseph = \\text{knight}) \\) to be true, both sides must have the same truth value. Since \"Joseph is a knight\" is false, \"Jacob is a knave\" must also be false, so Jacob is a knight.\n\n\n### Step 5: Analyze Jacob's statement\nJacob said, \"James is a knight or Joseph is a knight\". Jacob is a knight, so this statement is true. Joseph is a knave, so \"Joseph is a knight\" is false. Therefore, \"James is a knight\" must be true, so James is a knight.\n\n\n### Step 6: Verify James's statement\nJames said, \"If Noah is a knave, then Jacob is a knight\". Noah is a knight, so \"Noah is a knave\" is false. An implication with a false antecedent is always true, so James's statement is consistent.\n\n\n### Step 7: Verify Liam's statement (again)\nLiam's statement: \\( (Jacob = \\text{knave}) \\leftrightarrow (Joseph = \\text{knight}) \\). Jacob is a knight (so \\( Jacob = \\text{knave} \\) is false), and Joseph is a knave (so \\( Joseph = \\text{knight} \\) is false). Thus, \\( \\text{false} \\leftrightarrow \\text{false} \\) is true, confirming Liam is a knight.\n\n\n### Final Identities\n- Ava: knight\n- Liam: knight\n- Jacob: knight\n- James: knight\n- Noah: knight\n- Joseph: knave\n\n```json\n{\"Ava\": \"knight\", \"Liam\": \"knight\", \"Jacob\": \"knight\", \"James\": \"knight\", \"Noah\": \"knight\", \"Joseph\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 10.575, "provider_receipts": [ { "turn": 1, "response_id": "021785352105829314cbdff50da45319a607e6bbd0e7cd8de5316", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 301, "completion_tokens": 2349, "total_tokens": 2650, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p7-r079", "num": 7, "pred": { "Lucas": "knight", "Isabella": "knave", "James": "knave", "Ella": "knave", "Emma": "knave", "Luke": "knight", "Sofia": "knave" }, "gold": { "Lucas": "knight", "Isabella": "knave", "James": "knave", "Ella": "knave", "Emma": "knave", "Luke": "knight", "Sofia": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people7_num100.jsonl", "file_sha256": "f62b1f0c3c45e3a62660951fc12b9716679f1466bdc313066d85d08d6fe3c767", "row": 79, "dataset_index": 79 }, "codes": [], "text": "{\n{\"Lucas\": \"knight\", \"Isabella\": \"knave\", \"James\": \"knave\", \"Ella\": \"knave\", \"Emma\": \"knave\", \"Luke\": \"knight\", \"Sofia\": \"knave\"}\n}", "used_python_constraint": false, "duration_s": 40.296, "provider_receipts": [ { "turn": 1, "response_id": "021785352116406314cbdff50da45319a607e6bbd0e7cd837d956", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 330, "completion_tokens": 9754, "total_tokens": 10084, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p7-r080", "num": 7, "pred": { "Charlotte": "knight", "Evelyn": "knight", "Olivia": "knight", "Oliver": "knave", "Riley": "knave", "Aria": "knave", "Liam": "knight" }, "gold": { "Charlotte": "knight", "Evelyn": "knave", "Olivia": "knight", "Oliver": "knave", "Riley": "knight", "Aria": "knight", "Liam": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people7_num100.jsonl", "file_sha256": "f62b1f0c3c45e3a62660951fc12b9716679f1466bdc313066d85d08d6fe3c767", "row": 80, "dataset_index": 80 }, "codes": [], "text": "{\"Charlotte\": \"knight\", \"Evelyn\": \"knight\", \"Olivia\": \"knight\", \"Oliver\": \"knave\", \"Riley\": \"knave\", \"Aria\": \"knave\", \"Liam\": \"knight\"}", "used_python_constraint": false, "duration_s": 18.88, "provider_receipts": [ { "turn": 1, "response_id": "021785352156705314cbdff50da45319a607e6bbd0e7cd87bd96d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 327, "completion_tokens": 4247, "total_tokens": 4574, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p8-r011", "num": 8, "pred": { "Zoey": "knave", "Chloe": "knight", "Matthew": "knight", "Aurora": "knave", "Ethan": "knight", "Aiden": "knave", "Emily": "knight", "Lily": "knight" }, "gold": { "Zoey": "knave", "Chloe": "knight", "Matthew": "knight", "Aurora": "knave", "Ethan": "knight", "Aiden": "knave", "Emily": "knight", "Lily": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people8_num100.jsonl", "file_sha256": "01947375b3a16ce4fb340d6f0e1545d5aeadfc6f695c49cf2a6f436fcc5ba099", "row": 11, "dataset_index": 11 }, "codes": [], "text": "{\n\"Zoey\": \"knave\",\n\"Chloe\": \"knight\",\n\"Matthew\": \"knight\",\n\"Aurora\": \"knave\",\n\"Ethan\": \"knight\",\n\"Aiden\": \"knave\",\n\"Emily\": \"knight\",\n\"Lily\": \"knight\"\n}", "used_python_constraint": false, "duration_s": 13.514, "provider_receipts": [ { "turn": 1, "response_id": "021785352175588314cbdff50da45319a607e6bbd0e7cd852a98f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 336, "completion_tokens": 3119, "total_tokens": 3455, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p8-r069", "num": 8, "pred": { "Isabella": "knave", "Jacob": "knight", "Jackson": "knight", "Benjamin": "knave", "Sophia": "knight", "Ava": "knight", "Ella": "knight", "Aiden": "knave" }, "gold": { "Isabella": "knave", "Jacob": "knight", "Jackson": "knight", "Benjamin": "knave", "Sophia": "knight", "Ava": "knight", "Ella": "knight", "Aiden": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people8_num100.jsonl", "file_sha256": "01947375b3a16ce4fb340d6f0e1545d5aeadfc6f695c49cf2a6f436fcc5ba099", "row": 69, "dataset_index": 69 }, "codes": [], "text": "### Step 1: Analyze Jackson's statement\nJackson claims, \"Isabella is a knight if and only if Isabella is a knight\". This is a tautology (always true), so Jackson must be a **knight**.\n\n\n### Step 2: Analyze Sophia's statement\nSophia says, \"If Jackson is a knight then Aiden is a knave\". Since Jackson is a knight, Sophia's statement simplifies to \"Aiden is a knave\".\n\n\n### Step 3: Analyze Isabella's statement\nIsabella says, \"Benjamin is a knave and Jacob is a knave\". We consider two cases:\n- **Case 1: Isabella is a knight**: Then her statement is true, so Benjamin and Jacob are knaves. But Jacob being a knave would mean his statement \"Sophia is a knight\" is false, making Sophia a knave. However, Sophia being a knave would make her statement \"If Jackson is a knight then Aiden is a knave\" false. But Jackson is a knight, so the antecedent is true, requiring the consequent (\"Aiden is a knave\") to be false, contradicting Sophia being a knave. Thus, Isabella cannot be a knight.\n- **Case 2: Isabella is a knave**: Then her statement \"Benjamin is a knave and Jacob is a knave\" is false, so at least one of Benjamin or Jacob is a knight.\n\n\n### Step 4: Analyze Jacob's statement\nJacob says, \"Sophia is a knight\". Benjamin says, \"Sophia is a knave\". Since Jacob and Benjamin's statements are opposites, one is a knight and the other is a knave. From Case 2, Isabella is a knave, so Jacob must be a knight (because Isabella's statement is false). Thus, Jacob is a **knight**, making Sophia a knight (since Jacob's statement is true).\n\n\n### Step 5: Analyze Benjamin's statement\nBenjamin is a knave (from Jacob being a knight and Isabella being a knave). His statement \"Sophia is a knave\" is false, which matches him being a knave.\n\n\n### Step 6: Analyze Ava's statement\nAva says, \"Isabella is a knave or Jacob is a knave\". Isabella is a knave (true), so the statement is true. Thus, Ava is a **knight**.\n\n\n### Step 7: Analyze Ella's statement\nElla says, \"If Ava is a knave then Jacob is a knave\". Ava is a knight (false antecedent), so the implication is true. Thus, Ella is a **knight**.\n\n\n### Step 8: Analyze Aiden's statement\nAiden says, \"Isabella is not a knave\". Since Isabella is a knave, Aiden's statement is false, so Aiden is a **knave**.\n\n\n### Final Assignment\n- Isabella: knave \n- Jacob: knight \n- Jackson: knight \n- Benjamin: knave \n- Sophia: knight \n- Ava: knight \n- Ella: knight \n- Aiden: knave \n\n```json\n{\"Isabella\": \"knave\", \"Jacob\": \"knight\", \"Jackson\": \"knight\", \"Benjamin\": \"knave\", \"Sophia\": \"knight\", \"Ava\": \"knight\", \"Ella\": \"knight\", \"Aiden\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 13.874, "provider_receipts": [ { "turn": 1, "response_id": "021785352189101314cbdff50da45319a607e6bbd0e7cd8a8d38a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 345, "completion_tokens": 3407, "total_tokens": 3752, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p2-r008", "num": 2, "pred": { "Daniel": "knight", "Mia": "knight" }, "gold": { "Daniel": "knight", "Mia": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people2_num100.jsonl", "file_sha256": "18479f9b2c327e9ce51e901479e9e7ffcd4397094e91fdca430871a3fc131fc3", "row": 8, "dataset_index": 8 }, "codes": [], "text": "### Step 1: Define variables and the iff statement\nLet \\( D \\) represent Daniel and \\( M \\) represent Mia. The statement Daniel makes is \"Mia is a knight if and only if Daniel is a knight\", which is logically equivalent to \\( D \\leftrightarrow M \\). Mia's statement is also \"Mia is a knight if and only if Daniel is a knight\", which is the same as \\( M \\leftrightarrow D \\) (since iff is commutative).\n\n\n### Step 2: Analyze the case where Daniel is a knight\nIf Daniel is a knight, his statement \\( D \\leftrightarrow M \\) must be true. For \\( D \\leftrightarrow M \\) to be true, \\( D \\) and \\( M \\) must be the same type. Since Daniel is a knight, Mia must also be a knight. If Mia is a knight, her statement \\( M \\leftrightarrow D \\) is true, which is consistent because both are knights.\n\n\n### Step 3: Analyze the case where Daniel is a knave\nIf Daniel is a knave, his statement \\( D \\leftrightarrow M \\) must be false. The negation of \\( D \\leftrightarrow M \\) is \\( (\\neg D \\land M) \\lor (D \\land \\neg M) \\). Since Daniel is a knave (\\(\\neg D\\)), the negation simplifies to \\( M \\) (because \\( D \\land \\neg M \\) is false). Thus, Mia would be a knight. However, if Mia is a knight, her statement \\( M \\leftrightarrow D \\) must be true. But \\( M \\) is a knight and \\( D \\) is a knave, so \\( M \\leftrightarrow D \\) is false, which contradicts Mia being a knight. Thus, Daniel cannot be a knave.\n\n\n### Conclusion\nThe only consistent case is both Daniel and Mia being knights.\n\n```json\n{\"Daniel\": \"knight\", \"Mia\": \"knight\"}\n```", "used_python_constraint": false, "duration_s": 8.206, "provider_receipts": [ { "turn": 1, "response_id": "021785352202978314cbdff50da45319a607e6bbd0e7cd83e87b4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 246, "completion_tokens": 1916, "total_tokens": 2162, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p2-r094", "num": 2, "pred": { "Riley": "knight", "Abigail": "knave" }, "gold": { "Riley": "knight", "Abigail": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people2_num100.jsonl", "file_sha256": "18479f9b2c327e9ce51e901479e9e7ffcd4397094e91fdca430871a3fc131fc3", "row": 94, "dataset_index": 94 }, "codes": [], "text": "### Step 1: Define variables and statements\nLet \\( R \\) represent Riley and \\( A \\) represent Abigail. Riley's statement is \"If Riley is a knight then Abigail is a knave,\" which translates to the logical implication \\( R \\rightarrow \\neg A \\). Abigail's statement is \"Riley is a knave,\" which is \\( \\neg R \\).\n\n\n### Step 2: Analyze Case 1: Riley is a knight (\\( R = \\text{knight} \\))\nIf \\( R \\) is a knight, then his statement \\( R \\rightarrow \\neg A \\) must be true. Since \\( R \\) is true, the implication \\( R \\rightarrow \\neg A \\) is true only if \\( \\neg A \\) is true. Thus, \\( A \\) must be a knave (\\( A = \\text{knave} \\)). \n\nNow, check Abigail's statement: \\( \\neg R \\). Since \\( R \\) is a knight, \\( \\neg R \\) is false. Abigail is a knave, so lying is consistent with her statement being false. This case is consistent.\n\n\n### Step 3: Analyze Case 2: Riley is a knave (\\( R = \\text{knave} \\))\nIf \\( R \\) is a knave, then his statement \\( R \\rightarrow \\neg A \\) must be a lie. The negation of \\( R \\rightarrow \\neg A \\) is \\( R \\land A \\). For \\( R \\land A \\) to be true, both \\( R \\) and \\( A \\) must be true. However, \\( R \\) is assumed to be a knave (false), which contradicts \\( R \\land A \\) being true. Thus, Case 2 is inconsistent.\n\n\n### Conclusion\nThe only consistent case is Riley is a knight and Abigail is a knave.\n\n{\"Riley\": \"knight\", \"Abigail\": \"knave\"}", "used_python_constraint": false, "duration_s": 4.704, "provider_receipts": [ { "turn": 1, "response_id": "021785352211187314cbdff50da45319a607e6bbd0e7cd83d7c21", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 234, "completion_tokens": 1073, "total_tokens": 1307, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p3-r000", "num": 3, "pred": { "Penelope": "knave", "David": "knave", "Zoey": "knave" }, "gold": { "Penelope": "knave", "David": "knave", "Zoey": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people3_num100.jsonl", "file_sha256": "cb8832b4aae19426e10a039236f0e4fb7dad797598edb3850db8067ff7cda1a6", "row": 0, "dataset_index": 0 }, "codes": [], "text": "### Step 1: Analyze Penelope's statement\nPenelope claims \"David is a knight if and only if David is a knave\", which can be symbolized as \\( D \\leftrightarrow \\neg D \\). A biconditional \\( A \\leftrightarrow \\neg A \\) is always false because \\( A \\) and \\( \\neg A \\) cannot both be true. Since Penelope made a false statement, she must be a **knave**.\n\n\n### Step 2: Analyze David's statement\nDavid claims \"Zoey is a knave if and only if Zoey is a knight\", symbolized as \\( Z \\leftrightarrow \\neg Z \\). Similar to Penelope's statement, \\( Z \\leftrightarrow \\neg Z \\) is always false. If David were a knight, he would tell the truth, but his statement is false. Thus, David must be a **knave**.\n\n\n### Step 3: Analyze Zoey's statement\nZoey claims \"Penelope is not a knave\". We already determined Penelope is a knave, so Zoey's statement is false. Therefore, Zoey must be a **knave**.\n\n\n### Final Answer\n{\"Penelope\": \"knave\", \"David\": \"knave\", \"Zoey\": \"knave\"}", "used_python_constraint": false, "duration_s": 11.229, "provider_receipts": [ { "turn": 1, "response_id": "021785352215891314cbdff50da45319a607e6bbd0e7cd82e668f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 265, "completion_tokens": 2786, "total_tokens": 3051, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p3-r024", "num": 3, "pred": { "Aiden": "knight", "Harper": "knight", "Emma": "knave" }, "gold": { "Aiden": "knight", "Harper": "knight", "Emma": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people3_num100.jsonl", "file_sha256": "cb8832b4aae19426e10a039236f0e4fb7dad797598edb3850db8067ff7cda1a6", "row": 24, "dataset_index": 24 }, "codes": [], "text": "### Step 1: Analyze Harper's statement\nHarper says, \"Emma is a knight or Emma is a knave\" (i.e., \\( E \\lor \\neg E \\)). This is a tautology (always true). Since knights tell the truth and knaves lie, if Harper were a knave, he could not make a true statement. Thus, Harper must be a **knight**.\n\n\n### Step 2: Analyze Emma's statement\nEmma says, \"Harper is a knight if and only if Harper is a knave\" (i.e., \\( H \\leftrightarrow \\neg H \\)). We already determined Harper is a knight (\\( H = \\text{true} \\)). Substituting, \\( \\text{true} \\leftrightarrow \\neg \\text{true} \\) is \\( \\text{true} \\leftrightarrow \\text{false} \\), which is false. Since Emma's statement is false, Emma must be a **knave**.\n\n\n### Step 3: Analyze Aiden's statement\nAiden says, \"Harper is a knight if and only if Emma is a knave\" (i.e., \\( H \\leftrightarrow \\neg E \\)). We know \\( H = \\text{true} \\) and \\( E = \\text{false} \\) (so \\( \\neg E = \\text{true} \\)). Thus, \\( \\text{true} \\leftrightarrow \\text{true} \\) is true. Since Aiden's statement is true, Aiden must be a **knight**.\n\n\n### Final Answer\n{\"Aiden\": \"knight\", \"Harper\": \"knight\", \"Emma\": \"knave\"}", "used_python_constraint": false, "duration_s": 4.439, "provider_receipts": [ { "turn": 1, "response_id": "021785352227123314cbdff50da45319a607e6bbd0e7cd85ddfac", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 269, "completion_tokens": 1048, "total_tokens": 1317, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p4-r027", "num": 4, "pred": { "Victoria": "knave", "Lucas": "knight", "Oliver": "knave", "Harper": "knave" }, "gold": { "Victoria": "knave", "Lucas": "knight", "Oliver": "knave", "Harper": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people4_num100.jsonl", "file_sha256": "ec8821279ff09db70098b97c5b47f452f2b9a6059b3d32ff22c9fce8342e4c30", "row": 27, "dataset_index": 27 }, "codes": [], "text": "### Step 1: Analyze Victoria's statement\nVictoria claims \"Lucas is a knave and Harper is a knight\". Let \\( V \\) be Victoria's type (knight = true, knave = false), \\( L \\) for Lucas, \\( H \\) for Harper. If \\( V \\) is a knight, her statement must be true, so \\( \\neg L \\) and \\( H \\) are both true. This leads to contradictions with other statements, so \\( V \\) must be a knave.\n\n### Step 2: Analyze Lucas's statement\nLucas says \"Harper is a knave\". Since \\( V \\) is a knave, Victoria's false statement implies \\( L \\lor \\neg H \\). If \\( L \\) is a knight, then his statement \"Harper is a knave\" is true, so \\( H \\) is a knave. \n\n### Step 3: Analyze Oliver's statement\nOliver says \"Lucas is a knave or Victoria is a knight\". Since \\( L \\) is a knight, \"Lucas is a knave\" is false; and \\( V \\) is a knave, \"Victoria is a knight\" is false. Thus, the disjunction is false, so Oliver must be a knave.\n\n### Step 4: Analyze Harper's statement\nHarper says \"Harper is a knight if and only if Oliver is a knave\". Since \\( H \\) is a knave, his statement must be false. \"Harper is a knight\" is false, and \"Oliver is a knave\" is true. A false statement if and only if true is false, which is consistent with \\( H \\) being a knave.\n\n\n### Final Answer\n{\"Victoria\": \"knave\", \"Lucas\": \"knight\", \"Oliver\": \"knave\", \"Harper\": \"knave\"}", "used_python_constraint": false, "duration_s": 28.079, "provider_receipts": [ { "turn": 1, "response_id": "021785352231567314cbdff50da45319a607e6bbd0e7cd8e35796", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 270, "completion_tokens": 7110, "total_tokens": 7380, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p4-r028", "num": 4, "pred": { "Daniel": "knave", "David": "knave", "Victoria": "knave", "Mason": "knight" }, "gold": { "Daniel": "knave", "David": "knave", "Victoria": "knave", "Mason": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people4_num100.jsonl", "file_sha256": "ec8821279ff09db70098b97c5b47f452f2b9a6059b3d32ff22c9fce8342e4c30", "row": 28, "dataset_index": 28 }, "codes": [], "text": "### Step 1: Analyze David's statement\nDavid says, \"Victoria is a knight and Victoria is a knave\". This is a contradiction (a statement that cannot be true). Since knights always tell the truth, David must be a **knave** because his statement is false.\n\n\n### Step 2: Analyze Victoria's statement\nVictoria says, \"Daniel is a knight\". Since David is a knave, Victoria's statement is false (because if Victoria were a knight, her statement would have to be true, but David's knavery doesn't directly affect this yet). Therefore, Victoria is a **knave**.\n\n\n### Step 3: Analyze Daniel's statement\nDaniel says, \"Mason is a knave and David is a knave\". We already know David is a knave, but Victoria is a knave, so Daniel's statement is a conjunction. Since Daniel is a knave, his conjunction must be false. For a conjunction \\( p \\land q \\) to be false, at least one of \\( p \\) or \\( q \\) must be false. Here, \\( q \\) (David is a knave) is true, so \\( p \\) (Mason is a knave) must be false. Thus, Mason is a **knight**.\n\n\n### Step 4: Verify Mason's statement\nMason says, \"Mason is a knight or Daniel is a knight\". Since Mason is a knight, he tells the truth. The disjunction \\( \\text{Mason is a knight} \\lor \\text{Daniel is a knight} \\) is true because \"Mason is a knight\" is true. This confirms Mason is a knight.\n\n\n### Final Conclusion\n- Daniel: knave \n- David: knave \n- Victoria: knave \n- Mason: knight\n\n{\"Daniel\": \"knave\", \"David\": \"knave\", \"Victoria\": \"knave\", \"Mason\": \"knight\"}", "used_python_constraint": false, "duration_s": 4.934, "provider_receipts": [ { "turn": 1, "response_id": "021785352259648314cbdff50da45319a607e6bbd0e7cd874d81a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 275, "completion_tokens": 1139, "total_tokens": 1414, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p5-r095", "num": 5, "pred": { "Jackson": "knave", "Ella": "knight", "Alexander": "knave", "Chloe": "knave", "Emma": "knight" }, "gold": { "Jackson": "knight", "Ella": "knight", "Alexander": "knave", "Chloe": "knight", "Emma": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people5_num100.jsonl", "file_sha256": "791a14c3a7fea7713904786cdbd24ccc94901c0508c1ed3daf5abe3794857ed4", "row": 95, "dataset_index": 95 }, "codes": [], "text": "### Step 1: Analyze Jackson's statement\nJackson claims \"Chloe is not a knave\" (i.e., Chloe is a knight). Suppose Jackson is a knight. Then Chloe must be a knight. But Alexander's statement is \"Chloe is a knight if and only if Jackson is a knave\". If Jackson is a knight, then \"Jackson is a knave\" is false, so \"Chloe is a knight if and only if Jackson is a knave\" would be \"true if and only if false\", which is false. But Alexander would be a knight if his statement is true, leading to a contradiction. Thus, Jackson is a **knave**.\n\n\n### Step 2: Deduce Chloe's status\nSince Jackson is a knave, his statement \"Chloe is not a knave\" is false. Therefore, Chloe is a **knave**.\n\n\n### Step 3: Analyze Alexander's statement\nAlexander's statement is \"Chloe is a knight if and only if Jackson is a knave\". We know Chloe is a knave (false) and Jackson is a knave (true). So \"false if and only if true\" is false. Since Alexander's statement must be false (because he's a knave), this is consistent. Thus, Alexander is a **knave**.\n\n\n### Step 4: Analyze Emma's statement\nEmma's statement is \"Emma is a knight if and only if Jackson is a knave\". Jackson is a knave (true), so \"Emma is a knight if and only if true\" means Emma must be a knight (since \"A ↔ true\" is equivalent to A). Thus, Emma is a **knight**.\n\n\n### Step 5: Analyze Ella's statement\nElla's statement is \"Alexander is a knave or Ella is a knight\". We know Alexander is a knave (false) and Emma is a knight (so Ella's statement is \"false or Ella is a knight\"). For the disjunction to be true, Ella must be a knight. Thus, Ella is a **knight**.\n\n\n### Final Answer\n{\"Jackson\": \"knave\", \"Ella\": \"knight\", \"Alexander\": \"knave\", \"Chloe\": \"knave\", \"Emma\": \"knight\"}", "used_python_constraint": false, "duration_s": 5.907, "provider_receipts": [ { "turn": 1, "response_id": "021785352264584314cbdff50da45319a607e6bbd0e7cd84dbc7d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 294, "completion_tokens": 1337, "total_tokens": 1631, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p5-r099", "num": 5, "pred": { "Alexander": "knave", "Luke": "knight", "Jackson": "knight", "Charlotte": "knight", "Harper": "knight" }, "gold": { "Alexander": "knave", "Luke": "knight", "Jackson": "knight", "Charlotte": "knight", "Harper": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people5_num100.jsonl", "file_sha256": "791a14c3a7fea7713904786cdbd24ccc94901c0508c1ed3daf5abe3794857ed4", "row": 99, "dataset_index": 99 }, "codes": [], "text": "{\"Alexander\": \"knave\", \"Luke\": \"knight\", \"Jackson\": \"knight\", \"Charlotte\": \"knight\", \"Harper\": \"knight\"}", "used_python_constraint": false, "duration_s": 18.356, "provider_receipts": [ { "turn": 1, "response_id": "021785352270495314cbdff50da45319a607e6bbd0e7cd8b13ef8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 281, "completion_tokens": 4215, "total_tokens": 4496, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p6-r047", "num": 6, "pred": { "Noah": "knight", "Charlotte": "knight", "Lily": "knight", "Samuel": "knight", "Owen": "knight", "Grace": "knave" }, "gold": { "Noah": "knight", "Charlotte": "knight", "Lily": "knight", "Samuel": "knight", "Owen": "knight", "Grace": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people6_num100.jsonl", "file_sha256": "afadf008aa8aba0753bb198baca07ea51ebd9879045b619861225eea56559134", "row": 47, "dataset_index": 47 }, "codes": [], "text": "### Step 1: Analyze Samuel and Lily's statements\n- Samuel claims \"Lily is a knight\" (S → L). \n- Lily claims \"If Samuel is a knight then Lily is a knight\" (S → L). \n\nAssume Samuel is a knave. Then his statement \"Lily is a knight\" is false, so Lily is a knave. But if Lily is a knave, her statement \"If Samuel is a knight then Lily is a knight\" would be a conditional with a false antecedent (\"Samuel is a knight\") and a false consequent (\"Lily is a knight\"), making the conditional true. However, knaves cannot make true statements. Thus, Samuel cannot be a knave; he must be a knight. \n\nSince Samuel is a knight, his statement \"Lily is a knight\" is true, so Lily is a knight.\n\n\n### Step 2: Analyze Grace's statement\nGrace claims \"Lily is a knight and Samuel is a knave\" (L ∧ ¬S). Since Lily is a knight and Samuel is a knight, \"Lily is a knight\" is true but \"Samuel is a knave\" is false. Thus, Grace's statement is false, so Grace is a knave.\n\n\n### Step 3: Analyze Noah's statement\nNoah claims \"Lily is a knight or Charlotte is a knave\" (L ∨ ¬C). Since Lily is a knight, \"Lily is a knight\" is true, so Noah's statement is true. Therefore, Noah is a knight.\n\n\n### Step 4: Analyze Charlotte's statement\nCharlotte claims \"If Lily is a knight then Noah is a knight\" (L → N). Since Lily is a knight and Noah is a knight, the implication \"L → N\" is true. Thus, Charlotte is a knight.\n\n\n### Step 5: Analyze Owen's statement\nOwen claims \"Noah is a knight or Lily is a knight\" (N ∨ L). Since Noah and Lily are both knights, \"Noah is a knight\" and \"Lily is a knight\" are both true, so Owen's statement is true. Therefore, Owen is a knight.\n\n\n### Final Answer\n{\"Noah\": \"knight\", \"Charlotte\": \"knight\", \"Lily\": \"knight\", \"Samuel\": \"knight\", \"Owen\": \"knight\", \"Grace\": \"knave\"}", "used_python_constraint": false, "duration_s": 8.514, "provider_receipts": [ { "turn": 1, "response_id": "021785352288854314cbdff50da45319a607e6bbd0e7cd8a793fe", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 299, "completion_tokens": 2054, "total_tokens": 2353, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p6-r052", "num": 6, "pred": { "Emily": "knave", "Noah": "knave", "Sophia": "knave", "Olivia": "knight", "Avery": "knave", "Grace": "knight" }, "gold": { "Emily": "knave", "Noah": "knave", "Sophia": "knave", "Olivia": "knight", "Avery": "knave", "Grace": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people6_num100.jsonl", "file_sha256": "afadf008aa8aba0753bb198baca07ea51ebd9879045b619861225eea56559134", "row": 52, "dataset_index": 52 }, "codes": [], "text": "### Step 1: Analyze Olivia's statement\nOlivia says \"Noah is not a knight\" (¬Noah). Noah's statement is \"Olivia is a knight and Grace is a knave\" (Olivia ∧ ¬Grace). Sophia's statement is identical to Noah's: \"Grace is a knave and Olivia is a knight\" (¬Grace ∧ Olivia). \n\nIf Olivia were a knave, then her statement ¬Noah would be false, so Noah would be a knight. But if Noah is a knight, his statement \"Olivia is a knight and Grace is a knave\" would be true, implying Olivia is a knight (contradicting the assumption Olivia is a knave). Thus, Olivia must be a knight.\n\n\n### Step 2: Determine Noah's status\nSince Olivia is a knight, her statement ¬Noah is true, so Noah is a knave.\n\n\n### Step 3: Analyze Noah's false statement\nNoah is a knave, so his statement \"Olivia is a knight and Grace is a knave\" is false. The negation of \"A ∧ B\" is ¬A ∨ ¬B. Since Olivia is a knight (¬A is false), ¬Grace must be true → Grace is a knave? Wait, no! Wait, I made a mistake earlier. Wait, no: Olivia is a knight, so \"Olivia is a knight\" is true. Noah's statement is \"Olivia is a knight AND Grace is a knave\". Since Noah is a knave, the entire statement is false. So \"Olivia is a knight AND Grace is a knave\" is false. Since \"Olivia is a knight\" is true, \"Grace is a knave\" must be false → Grace is a knight. Oh! I messed up earlier. Let's correct:\n\nOlivia is a knight → ¬Noah is true → Noah is a knave. \nNoah is a knave → his statement \"Olivia is a knight ∧ Grace is a knave\" is false. Since \"Olivia is a knight\" is true, \"Grace is a knave\" must be false → Grace is a knight.\n\n\n### Step 4: Analyze Grace's statement\nGrace is a knight, so her statement \"If Olivia is a knave then Avery is a knave\" is true. Since Olivia is a knight, \"Olivia is a knave\" is false. A conditional with a false antecedent is always true, so this holds.\n\n\n### Step 5: Determine Avery's status\nAvery's statement is \"Grace is not a knight\". But Grace is a knight, so Avery's statement is false → Avery is a knave.\n\n\n### Step 6: Analyze Emily's statement\nEmily's statement is \"If Avery is a knave then Noah is a knight\". Avery is a knave (antecedent true), so the consequent must be true for Emily to be a knight. But Noah is a knave (consequent false), so Emily's statement is false → Emily is a knave.\n\n\n### Step 7: Determine Sophia's status\nSophia's statement is \"Grace is a knave and Olivia is a knight\". Grace is a knight (so \"Grace is a knave\" is false), and Olivia is a knight. The conjunction of a false statement and a true statement is false → Sophia's statement is false → Sophia is a knave.\n\n\n### Final List of Identities\n- Emily: knave \n- Noah: knave \n- Sophia: knave \n- Olivia: knight \n- Avery: knave \n- Grace: knight \n\n{\"Emily\": \"knave\", \"Noah\": \"knave\", \"Sophia\": \"knave\", \"Olivia\": \"knight\", \"Avery\": \"knave\", \"Grace\": \"knight\"}", "used_python_constraint": false, "duration_s": 13.912, "provider_receipts": [ { "turn": 1, "response_id": "021785352297371314cbdff50da45319a607e6bbd0e7cd8d90872", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 306, "completion_tokens": 3303, "total_tokens": 3609, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p7-r015", "num": 7, "pred": { "Emma": "knave", "Zoey": "knight", "David": "knight", "Jack": "knight", "Amelia": "knave", "Logan": "knave", "Abigail": "knave" }, "gold": { "Emma": "knave", "Zoey": "knight", "David": "knight", "Jack": "knight", "Amelia": "knave", "Logan": "knave", "Abigail": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people7_num100.jsonl", "file_sha256": "bd3900ae3527887659a1a0da1146780e0a47e4d96ff301e1c2039f35bcfff849", "row": 15, "dataset_index": 15 }, "codes": [], "text": "{\n \"Emma\": \"knave\",\n \"Zoey\": \"knight\",\n \"David\": \"knight\",\n \"Jack\": \"knight\",\n \"Amelia\": \"knave\",\n \"Logan\": \"knave\",\n \"Abigail\": \"knave\"\n}", "used_python_constraint": false, "duration_s": 12.172, "provider_receipts": [ { "turn": 1, "response_id": "021785352311285314cbdff50da45319a607e6bbd0e7cd85a593f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 334, "completion_tokens": 2928, "total_tokens": 3262, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p7-r028", "num": 7, "pred": { "Aria": "knight", "Aiden": "knight", "Emily": "knave", "Lily": "knight", "Mason": "knave", "Sophia": "knave", "Sebastian": "knight" }, "gold": { "Aria": "knight", "Aiden": "knight", "Emily": "knave", "Lily": "knight", "Mason": "knave", "Sophia": "knave", "Sebastian": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people7_num100.jsonl", "file_sha256": "bd3900ae3527887659a1a0da1146780e0a47e4d96ff301e1c2039f35bcfff849", "row": 28, "dataset_index": 28 }, "codes": [], "text": "### Step 1: Analyze Aria's statement\nAria claims \"Lily is not a knave\" (i.e., Lily is a knight). Let's assume Aria is a knight. Then Lily must be a knight.\n\n### Step 2: Analyze Emily's statement\nEmily claims \"Lily is a knight and Aria is a knave\". Since Aria is assumed to be a knight, the second part of Emily's statement is false, so Emily's entire statement is false. Thus, Emily is a knave.\n\n### Step 3: Analyze Aiden's statement\nAiden claims \"Lily is a knight or Aria is a knight\". Since both Lily and Aria are knights, this statement is true. Thus, Aiden is a knight.\n\n### Step 4: Analyze Lily's statement\nLily claims \"Sophia is a knight or Sebastian is a knight\". Since Lily is a knight, this statement is true.\n\n### Step 5: Analyze Sophia's statement\nSophia claims \"Sebastian is not a knight\". If Sophia were a knight, then Sebastian would be a knave. However, Sebastian's statement is \"If Sophia is a knave then Aria is a knight\". If Sophia is a knight, the antecedent \"Sophia is a knave\" is false, so the implication is true. But Sebastian being a knave would mean he lies, which is a contradiction. Thus, Sophia must be a knave.\n\n### Step 6: Analyze Sebastian's statement\nSince Sophia is a knave, Sebastian's statement \"If Sophia is a knave then Aria is a knight\" has a true antecedent (\"Sophia is a knave\") and a true consequent (\"Aria is a knight\"), so the implication is true. Thus, Sebastian is a knight.\n\n### Step 7: Analyze Mason's statement\nMason claims \"Emily is a knight and Sophia is a knight\". Since Emily is a knave and Sophia is a knave, this statement is false. Thus, Mason is a knave.\n\n\n### Final Answer\n{\"Aria\": \"knight\", \"Aiden\": \"knight\", \"Emily\": \"knave\", \"Lily\": \"knight\", \"Mason\": \"knave\", \"Sophia\": \"knave\", \"Sebastian\": \"knight\"}", "used_python_constraint": false, "duration_s": 10.931, "provider_receipts": [ { "turn": 1, "response_id": "021785352323461314cbdff50da45319a607e6bbd0e7cd89f55dc", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 329, "completion_tokens": 2559, "total_tokens": 2888, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p8-r037", "num": 8, "pred": { "Ava": "knight", "Grace": "knight", "Riley": "knight", "James": "knight", "Harper": "knave", "Avery": "knight", "Sofia": "knave", "Noah": "knight" }, "gold": { "Ava": "knight", "Grace": "knight", "Riley": "knight", "James": "knight", "Harper": "knave", "Avery": "knight", "Sofia": "knave", "Noah": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people8_num100.jsonl", "file_sha256": "c3d91ba046bbeb5ec0d64c9147d3d2c76c1f631716da47d32b8379ebfcbe35a0", "row": 37, "dataset_index": 37 }, "codes": [], "text": "### Step 1: Analyze Ava's statement\nAva says, \"Avery is a knave if and only if Grace is a knave\" (Avery ↔ Grace). Let's assume Ava is a knight. Then Harper, who says \"Ava is not a knight,\" must be a knave.\n\n\n### Step 2: Analyze Riley's statement\nRiley says, \"Ava is a knight if and only if Riley is a knight\" (Ava ↔ Riley). Since Ava is a knight, Riley must also be a knight.\n\n\n### Step 3: Analyze James's statement\nJames says, \"If Ava is a knight then Riley is a knight\" (Ava → Riley). Since Ava and Riley are both knights, this statement is true, so James is a knight.\n\n\n### Step 4: Analyze Grace's statement\nGrace says, \"James is a knight.\" Since James is a knight, Grace is a knight.\n\n\n### Step 5: Analyze Avery's statement\nAvery says, \"Grace is a knight if and only if Avery is a knight\" (Grace ↔ Avery). Since Grace is a knight, Avery must also be a knight.\n\n\n### Step 6: Analyze Sofia's statement\nSofia says, \"Avery is not a knight.\" Since Avery is a knight, Sofia is lying, so Sofia is a knave.\n\n\n### Step 7: Analyze Noah's statement\nNoah says, \"If Ava is a knave then Sofia is a knave.\" Ava is a knight, so the antecedent \"Ava is a knave\" is false. An implication with a false antecedent is true, so Noah's statement is true, making Noah a knight.\n\n\n### Final Check\nVerifying all statements are consistent with Ava, Grace, Riley, James, Avery, and Noah being knights, and Harper and Sofia being knaves.\n\n{\"Ava\": \"knight\", \"Grace\": \"knight\", \"Riley\": \"knight\", \"James\": \"knight\", \"Harper\": \"knave\", \"Avery\": \"knight\", \"Sofia\": \"knave\", \"Noah\": \"knight\"}", "used_python_constraint": false, "duration_s": 10.924, "provider_receipts": [ { "turn": 1, "response_id": "021785352334396314cbdff50da45319a607e6bbd0e7cd8c7dc5b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 339, "completion_tokens": 2345, "total_tokens": 2684, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p8-r086", "num": 8, "pred": { "David": "knight", "Ella": "knave", "Matthew": "knave", "Charlotte": "knave", "Oliver": "knave", "Samuel": "knave", "Riley": "knight", "Alexander": "knight" }, "gold": { "David": "knight", "Ella": "knave", "Matthew": "knave", "Charlotte": "knave", "Oliver": "knave", "Samuel": "knave", "Riley": "knight", "Alexander": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people8_num100.jsonl", "file_sha256": "c3d91ba046bbeb5ec0d64c9147d3d2c76c1f631716da47d32b8379ebfcbe35a0", "row": 86, "dataset_index": 86 }, "codes": [], "text": "### Step-by-Step Analysis:\n\n1. **Contradiction between David and Charlotte**: \n - David claims \"Riley is not a knave\" (i.e., Riley is a knight). \n - Charlotte claims \"Riley is not a knight\". \n These are contradictory, so one is a knight and the other is a knave.\n\n2. **Assume David is a knight**: \n - If David is a knight, then Riley is a knight (from David's statement). \n - Charlotte’s claim \"Riley is not a knight\" is false, so Charlotte is a knave. \n - Samuel’s statement \"Charlotte is a knight and Riley is a knave\" is false (since Charlotte is a knave and Riley is a knight), so Samuel is a knave. \n - Oliver’s statement \"David is a knave\" is false, so Oliver is a knave. \n - Matthew’s statement \"Samuel is a knight or Riley is a knave\" is false (since Samuel is a knave and Riley is a knight, \"knave or knight\" is false), so Matthew is a knave. \n - Ella’s statement \"If Samuel is a knave then Oliver is a knight\" is false (since Samuel is a knave but Oliver is a knave), so Ella is a knave. \n - Riley’s statement \"If Matthew is a knave then Samuel is a knave\" is true (since Matthew is a knave and Samuel is a knave, \"if false then false\" is true), so Riley is a knight. \n - Alexander’s statement \"If Samuel is a knave then Oliver is a knave\" is true (since Samuel is a knave and Oliver is a knave, \"if false then false\" is true), so Alexander is a knight.\n\n3. **Verify consistency**: \n All statements are consistent with David, Riley, and Alexander being knights, and Ella, Matthew, Charlotte, Oliver, and Samuel being knaves.\n\n\n### Final Answer\n{\"David\": \"knight\", \"Ella\": \"knave\", \"Matthew\": \"knave\", \"Charlotte\": \"knave\", \"Oliver\": \"knave\", \"Samuel\": \"knave\", \"Riley\": \"knight\", \"Alexander\": \"knight\"}", "used_python_constraint": false, "duration_s": 25.682, "provider_receipts": [ { "turn": 1, "response_id": "021785352345327314cbdff50da45319a607e6bbd0e7cd816042d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 333, "completion_tokens": 6228, "total_tokens": 6561, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p2-r060", "num": 2, "pred": { "Isabella": "knave", "Emma": "knave" }, "gold": { "Isabella": "knave", "Emma": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people2_num100.jsonl", "file_sha256": "c116f384f984150969554d783ccf7cecf4c6e56c59d2f5d326bfcfa722bb149c", "row": 60, "dataset_index": 60 }, "codes": [], "text": "### Step 1: Analyze Isabella's statement\nIsabella says: \"Isabella is a knight and Emma is a knight\" (symbolically, \\( I \\land E \\)). \n\n### Step 2: Analyze Emma's statement\nEmma says: \"Isabella is a knight if and only if Isabella is a knave\" (symbolically, \\( I \\leftrightarrow \\neg I \\)).\n\n### Step 3: Case 1 - Isabella is a knight\nIf Isabella is a knight, then her statement \\( I \\land E \\) must be true. Thus, \\( E \\) must also be a knight. However, Emma's statement \\( I \\leftrightarrow \\neg I \\) evaluates to false because \\( I \\) is true and \\( \\neg I \\) is false. A knight (Emma) cannot make a false statement, so this case is contradictory.\n\n### Step 4: Case 2 - Isabella is a knave\nIf Isabella is a knave, then her statement \\( I \\land E \\) is false. The negation of \\( I \\land E \\) is \\( \\neg I \\lor \\neg E \\). Since \\( I \\) is a knave (\\( \\neg I \\) is true), \\( \\neg I \\lor \\neg E \\) is true, which is consistent. \n\nNow, consider Emma's statement \\( I \\leftrightarrow \\neg I \\). For \\( I \\) being a knave (\\( \\neg I \\) is true), \\( I \\leftrightarrow \\neg I \\) is false (because false ↔ true is false). Since Emma is a knave, she lies, so her false statement is consistent with her being a knave.\n\n### Conclusion\nIsabella is a knave and Emma is a knave.\n\n```json\n{\"Isabella\": \"knave\", \"Emma\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 7.763, "provider_receipts": [ { "turn": 1, "response_id": "021785352371010314cbdff50da45319a607e6bbd0e7cd84a3246", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 244, "completion_tokens": 1657, "total_tokens": 1901, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p2-r076", "num": 2, "pred": { "Isabella": "knave", "Elizabeth": "knight" }, "gold": { "Isabella": "knave", "Elizabeth": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people2_num100.jsonl", "file_sha256": "c116f384f984150969554d783ccf7cecf4c6e56c59d2f5d326bfcfa722bb149c", "row": 76, "dataset_index": 76 }, "codes": [], "text": "### Step 1: Define variables and statements\nLet \\( E \\) represent Elizabeth and \\( I \\) represent Isabella. \n- Elizabeth's statement: \"Isabella is a knave\" translates to \\( \\neg I \\).\n- Isabella's statement: \"Elizabeth is a knight if and only if Isabella is a knight\" translates to \\( E \\leftrightarrow I \\).\n\n\n### Step 2: Case analysis for Elizabeth's type\n\n#### Case 1: Elizabeth is a knight (\\( E = \\text{knight} \\))\n- If \\( E \\) is a knight, her statement \"Isabella is a knave\" is true, so \\( I = \\text{knave} \\).\n- Now, check Isabella's statement: \\( E \\leftrightarrow I \\). Substituting \\( E = \\text{knight} \\) and \\( I = \\text{knave} \\), we get \\( \\text{knight} \\leftrightarrow \\text{knave} \\), which is false. Since Isabella is a knave, she lies, so her statement being false is consistent.\n\n\n#### Case 2: Elizabeth is a knave (\\( E = \\text{knave} \\))\n- If \\( E \\) is a knave, her statement \"Isabella is a knave\" is false, so \\( I = \\text{knight} \\).\n- Now, check Isabella's statement: \\( E \\leftrightarrow I \\). Substituting \\( E = \\text{knave} \\) and \\( I = \\text{knight} \\), we get \\( \\text{knave} \\leftrightarrow \\text{knight} \\), which is false. However, Isabella is a knight, so she must tell the truth. This is a contradiction because her statement is false.\n\n\n### Step 3: Conclusion\nThe only consistent case is when Elizabeth is a knight and Isabella is a knave.\n\n### Final Answer\n{\"Isabella\": \"knave\", \"Elizabeth\": \"knight\"}", "used_python_constraint": false, "duration_s": 14.286, "provider_receipts": [ { "turn": 1, "response_id": "021785352378779314cbdff50da45319a607e6bbd0e7cd8e53ff2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 236, "completion_tokens": 3242, "total_tokens": 3478, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p3-r000", "num": 3, "pred": { "Penelope": "knave", "David": "knave", "Zoey": "knight" }, "gold": { "Penelope": "knave", "David": "knave", "Zoey": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people3_num100.jsonl", "file_sha256": "ff772d57162fb500e608ef28c59eaf57ba1d80f60cf3f73902162c3476f6b0a2", "row": 0, "dataset_index": 0 }, "codes": [], "text": "### Step 1: Analyze David's statement\nDavid claims \"Zoey is a knave if and only if Zoey is a knight\". Let \\( Z \\) represent Zoey being a knight (true) or knave (false). The statement \" \\( Z \\) iff \\( \\neg Z \\)\" is a contradiction, which is always false. Since knights tell the truth and knaves lie, David must be a **knave** because his statement is false.\n\n\n### Step 2: Analyze Penelope's statement\nPenelope claims \"David is a knight if and only if David is a knave\". Let \\( D \\) represent David being a knight (true) or knave (false). The statement \" \\( D \\) iff \\( \\neg D \\)\" is a contradiction, which is always false. Since Penelope's statement is false, Penelope must be a **knave**.\n\n\n### Step 3: Analyze Zoey's statement\nZoey claims \"If Penelope is a knave then David is a knave\". Let \\( P \\) represent Penelope being a knave (true) or knight (false). We already determined \\( P = \\text{true} \\) (Penelope is a knave) and \\( D = \\text{false} \\) (David is a knave). The implication \"if \\( P \\) is true then \\( D \\) is true\" is \"if true then false\"? Wait, no! Wait: \\( P \\) is true (Penelope is a knave), \\( D \\) is false (David is a knave). The implication \"if \\( P \\) is true then \\( D \\) is false\" is actually \"true → false\", which is false? Wait, I made a mistake earlier. Let's start over with correct symbolization.\n\nWait, correction: \n- David is a knave (\\( D = \\text{false} \\)). \n- Penelope's statement: \\( D \\leftrightarrow \\neg D \\). Since \\( D = \\text{false} \\), \\( \\neg D = \\text{true} \\), so \\( \\text{false} \\leftrightarrow \\text{true} \\) is false. Thus, Penelope is a knave (\\( P = \\text{true} \\)). \n- Zoey's statement: \"If Penelope is a knave (\\( P \\)) then David is a knave (\\( D \\))\". So the implication is \\( P \\rightarrow D \\). We have \\( P = \\text{true} \\) and \\( D = \\text{false} \\). Wait, \"if true then false\" is false. But Zoey's statement must be evaluated. Wait, no! I messed up David's type. Wait, David is a knave, so \\( D = \\text{false} \\). Penelope is a knave, so \\( P = \\text{true} \\). Then Zoey's statement is \"if \\( P = \\text{true} \\) then \\( D = \\text{false} \\)\". That's \"if true then false\", which is false. But that would mean Zoey is lying, so Zoey is a knave. But that contradicts earlier. Wait, I made a mistake in David's statement.\n\nWait, let's start fresh:\n\n- David says: \"Zoey is a knave iff Zoey is a knight\". Let \\( Z \\) be Zoey's type. The statement is \\( Z \\leftrightarrow \\neg Z \\). This is always false. So David is lying, so David is a knave (\\( D = \\text{false} \\)).\n\n- Penelope says: \"David is a knight iff David is a knave\". Let \\( D \\) be David's type. The statement is \\( D \\leftrightarrow \\neg D \\). This is always false. So Penelope is lying, so Penelope is a knave (\\( P = \\text{true} \\)).\n\n- Zoey says: \"If Penelope is a knave then David is a knave\". Let \\( P \\) be Penelope's type, \\( D \\) be David's type. The implication is \\( P \\rightarrow D \\). We have \\( P = \\text{true} \\) (Penelope is a knave) and \\( D = \\text{false} \\) (David is a knave). Wait, \\( P = \\text{true} \\), \\( D = \\text{false} \\). The implication \\( \\text{true} \\rightarrow \\text{false} \\) is false. But Zoey's statement is false, so Zoey is a knave? But that can't be. Wait, I made a mistake in David's type.\n\nWait, no! Wait David's statement is \\( Z \\leftrightarrow \\neg Z \\). If Zoey is a knight (\\( Z = \\text{true} \\)), then \\( Z \\leftrightarrow \\neg Z \\) is \\( \\text{true} \\leftrightarrow \\text{false} \\), which is false. So David's statement is false, so David is a knave. If Zoey is a knave (\\( Z = \\text{false} \\)), then \\( Z \\leftrightarrow \\neg Z \\) is \\( \\text{false} \\leftrightarrow \\text{true} \\), which is also false. So David's statement is always false, so David is a knave.\n\nPenelope's statement: \\( D \\leftrightarrow \\neg D \\). If David is a knave (\\( D = \\text{false} \\)), then \\( \\neg D = \\text{true} \\). So \\( \\text{false} \\leftrightarrow \\text{true} \\) is false. So Penelope's statement is false, so Penelope is a knave.\n\nZoey's statement: \"If Penelope is a knave then David is a knave\". Penelope is a knave (\\( P = \\text{true} \\)), David is a knave (\\( D = \\text{false} \\)). The implication \\( \\text{true} \\rightarrow \\text{false} \\) is false. But Zoey's statement is false, so Zoey is a knave? But that can't be. Wait, I think I messed up the implication.\n\nWait, let's start over with correct truth tables.\n\n- David: says \\( Z \\leftrightarrow \\neg Z \\). This is always false. So David is knave.\n\n- Penelope: says \\( D \\leftrightarrow \\neg D \\). This is always false. So Penelope is knave.\n\n- Zoey: says \\( P \\rightarrow D \\). \\( P \\) is true (Penelope is knave), \\( D \\) is false (David is knave). So \\( \\text{true} \\rightarrow \\text{false} \\) is false. But Zoey's statement is false, so Zoey is knave? But then all three are knaves? But let's check again.\n\nWait, no! Wait David is knave, Penelope is knave. Zoey's statement: \"If Penelope is a knave then David is a knave\". Penelope is a knave, David is a knave. So \"if Penelope is a knave (true) then David is a knave (true)\" is \\( \\text{true} \\rightarrow \\text{true} \\), which is true. Oh! I made a mistake earlier. \\( D \\) is false, but David is a knave, so \\( D \\) is false. Penelope is a knave, so \\( P \\) is true. Then \\( P \\rightarrow D \\) is \\( \\text{true} \\rightarrow \\text{false} \\), which is false. But that's a contradiction. Wait, I think I messed up David's type.\n\nWait, let's start over:\n\nLet's define:\n\n- Let \\( D \\) be David's type: knight (T) or knave (F).\n\n- Let \\( Z \\) be Zoey's type: knight (T) or knave (F).\n\n- Let \\( P \\) be Penelope's type: knight (T) or knave (F).\n\nDavid's statement: \\( Z \\leftrightarrow \\neg Z \\). This is a logical contradiction, so David's statement is false. Therefore, David is a knave (D = F).\n\nPenelope's statement: \\( D \\leftrightarrow \\neg D \\). Since D = F, \\( \\neg D = T \\). So \\( F \\leftrightarrow T \\) is false. Therefore, Penelope's statement is false, so Penelope is a knave (P = F).\n\nZoey's statement: \"If Penelope is a knave then David is a knave\". Penelope is a knave (P = F), David is a knave (D = F). The implication \\( P \\rightarrow D \\) is \\( F \\rightarrow F \\), which is true. Therefore, Zoey's statement is true, so Zoey is a knight (Z = T).\n\nWait! I see my mistake earlier. Penelope is a knave, so \\( P = F \\). David is a knave, so \\( D = F \\). Then \\( P \\rightarrow D \\) is \\( F \\rightarrow F \\), which is true. So Zoey's statement is true, so Zoey is a knight.\n\nLet's recap:\n\n- David: made a false statement, so he's a knave (D = F).\n\n- Penelope: made a false statement, so she's a knave (P = F).\n\n- Zoey: made a true statement (\"If Penelope is a knave then David is a knave\"), so she's a knight (Z = T).\n\nWait, but let's check again:\n\nDavid's statement: \"Zoey is a knave iff Zoey is a knight\". Zoey is a knight, so \"knight iff knave\" is false. David's statement is false, so David is a knave. Correct.\n\nPenelope's statement: \"David is a knight iff David is a knave\". David is a knave, so \"knave iff knight\" is false. Penelope's statement is false, so Penelope is a knave. Correct.\n\nZoey's statement: \"If Penelope is a knave then David is a knave\". Penelope is a knave, David is a knave. \"If knave then knave\" is true. So Zoey's statement is true, so Zoey is a knight. Correct.\n\nSo the final conclusion is:\n\nDavid is a knave, Penelope is a knave, Zoey is a knight.\n\nJSON output: {\"Penelope\": \"knave\", \"David\": \"knave\", \"Zoey\": \"knight\"}", "used_python_constraint": false, "duration_s": 35.343, "provider_receipts": [ { "turn": 1, "response_id": "021785352393070314cbdff50da45319a607e6bbd0e7cd8cb3fe9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 271, "completion_tokens": 3626, "total_tokens": 3897, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p3-r064", "num": 3, "pred": { "Lucas": "knight", "Evelyn": "knave", "Grace": "knave" }, "gold": { "Lucas": "knight", "Evelyn": "knave", "Grace": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people3_num100.jsonl", "file_sha256": "ff772d57162fb500e608ef28c59eaf57ba1d80f60cf3f73902162c3476f6b0a2", "row": 64, "dataset_index": 64 }, "codes": [], "text": "### Step 1: Define variables and statements\nLet \\( L \\) be true if Lucas is a knight, \\( E \\) be true if Evelyn is a knight, and \\( G \\) be true if Grace is a knight. The statements are:\n- Grace: \"Lucas is a knave\" → \\( G \\to \\neg L \\)\n- Evelyn: \"Grace is a knight\" → \\( E \\to G \\)\n- Lucas: \"If Lucas is a knight then Evelyn is a knave\" → \\( L \\to \\neg E \\)\n\n\n### Step 2: Analyze Lucas's statement\nLucas's statement is \\( L \\to \\neg E \\). If \\( L \\) is false (Lucas is a knave), then \\( L \\to \\neg E \\) is true (because a false antecedent makes the implication true). But Lucas, being a knave, must lie, so \\( L \\to \\neg E \\) cannot be true. Thus, \\( L \\) cannot be false, so \\( L \\) must be true (Lucas is a knight).\n\n\n### Step 3: Use Lucas's status to analyze his statement\nSince \\( L \\) is true, Lucas's statement \\( L \\to \\neg E \\) must be true. For \\( L \\to \\neg E \\) to be true when \\( L \\) is true, \\( \\neg E \\) must be true, so \\( E \\) is false (Evelyn is a knave).\n\n\n### Step 4: Analyze Grace's statement\nGrace's statement is \"Lucas is a knave\" → \\( G \\to \\neg L \\). Since \\( L \\) is true, \\( \\neg L \\) is false, so \\( G \\to \\neg L \\) is false. Thus, \\( G \\) must be false (Grace is a knave).\n\n\n### Step 5: Verify Evelyn's statement\nEvelyn's statement is \"Grace is a knight\" → \\( E \\to G \\). Since \\( E \\) is false (Evelyn is a knave), \\( E \\to G \\) is true (because a false antecedent makes the implication true), which is consistent with Evelyn being a knave.\n\n\n### Final Answer\n{\"Lucas\": \"knight\", \"Evelyn\": \"knave\", \"Grace\": \"knave\"}", "used_python_constraint": false, "duration_s": 12.242, "provider_receipts": [ { "turn": 1, "response_id": "021785352428417314cbdff50da45319a607e6bbd0e7cd87fd71c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 247, "completion_tokens": 2853, "total_tokens": 3100, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p4-r068", "num": 4, "pred": { "Aurora": "knight", "Elizabeth": "knave", "Grace": "knight", "Daniel": "knight" }, "gold": { "Aurora": "knight", "Elizabeth": "knave", "Grace": "knight", "Daniel": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people4_num100.jsonl", "file_sha256": "be12e4b5a38792785264c16c11117f7f10f955517e32c92ea37949017a4da0cb", "row": 68, "dataset_index": 68 }, "codes": [], "text": "{\n\"Aurora\": \"knight\",\n\"Elizabeth\": \"knave\",\n\"Grace\": \"knight\",\n\"Daniel\": \"knight\"\n}", "used_python_constraint": false, "duration_s": 12.349, "provider_receipts": [ { "turn": 1, "response_id": "021785352440662314cbdff50da45319a607e6bbd0e7cd84e2646", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 273, "completion_tokens": 3003, "total_tokens": 3276, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p4-r097", "num": 4, "pred": { "Lucas": "knave", "Ava": "knave", "Grace": "knight", "Liam": "knave" }, "gold": { "Lucas": "knave", "Ava": "knave", "Grace": "knight", "Liam": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people4_num100.jsonl", "file_sha256": "be12e4b5a38792785264c16c11117f7f10f955517e32c92ea37949017a4da0cb", "row": 97, "dataset_index": 97 }, "codes": [], "text": "### Step 1: Analyze Liam's statement\nLiam says, \"Grace is a knave if and only if Grace is a knight.\" Let \\( G \\) represent \"Grace is a knight\". Liam's statement is \\( \\neg G \\leftrightarrow G \\). This is a contradiction because \\( \\neg G \\leftrightarrow G \\) is always false. Thus, Liam is a **knave**.\n\n\n### Step 2: Analyze Ava's statement\nAva says, \"Grace is not a knight\" (i.e., \\( \\neg G \\)). Suppose Ava is a knight. Then \\( \\neg G \\) is true, so Grace is a knave. But if Grace is a knave, her statement (\"Ava is a knave if and only if Lucas is a knave\") must be false. However, if Ava is a knight, the biconditional in Grace's statement would require \"Ava is a knave\" (false) to equal \"Lucas is a knave\" (false), making the biconditional true, which contradicts Grace being a knave. Thus, Ava cannot be a knight; Ava is a **knave**.\n\n\n### Step 3: Determine Grace's status\nSince Ava is a knave, her statement \"Grace is not a knight\" is false. Therefore, Grace is a **knight**.\n\n\n### Step 4: Analyze Grace's statement\nGrace (a knight) says, \"Ava is a knave if and only if Lucas is a knave.\" Ava is a knave, so \"Ava is a knave\" is true. For the biconditional \\( \\text{Ava is a knave} \\leftrightarrow \\text{Lucas is a knave} \\) to be true, \"Lucas is a knave\" must also be true. Thus, Lucas is a **knave**.\n\n\n### Step 5: Verify Lucas's statement\nLucas (a knave) said, \"If Grace is a knight then Ava is a knight.\" Grace is a knight, but Ava is a knave. A conditional statement \"If \\( P \\) then \\( Q \\)\" is false when \\( P \\) is true and \\( Q \\) is false. Since Lucas is a knave, he lies, which is consistent with his false statement.\n\n\n### Final Answer\n{\"Lucas\": \"knave\", \"Ava\": \"knave\", \"Grace\": \"knight\", \"Liam\": \"knave\"}", "used_python_constraint": false, "duration_s": 14.923, "provider_receipts": [ { "turn": 1, "response_id": "021785352453016314cbdff50da45319a607e6bbd0e7cd8f17d69", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 280, "completion_tokens": 3682, "total_tokens": 3962, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p5-r055", "num": 5, "pred": { "Olivia": "knave", "Victoria": "knight", "Mason": "knave", "Lily": "knave", "Abigail": "knight" }, "gold": { "Olivia": "knave", "Victoria": "knave", "Mason": "knight", "Lily": "knight", "Abigail": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people5_num100.jsonl", "file_sha256": "04a492522cdeb64a960632652b54e3fd27cc505fa8a1c48cf9c666cc8e7d6fb0", "row": 55, "dataset_index": 55 }, "codes": [], "text": "{\n \"Olivia\": \"knave\",\n \"Victoria\": \"knight\",\n \"Mason\": \"knave\",\n \"Lily\": \"knave\",\n \"Abigail\": \"knight\"\n}", "used_python_constraint": false, "duration_s": 22.704, "provider_receipts": [ { "turn": 1, "response_id": "021785352467944314cbdff50da45319a607e6bbd0e7cd8238b7d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 288, "completion_tokens": 5250, "total_tokens": 5538, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p5-r092", "num": 5, "pred": { "Sophia": "knight", "Avery": "knave", "Michael": "knight", "Chloe": "knave", "Luke": "knave" }, "gold": { "Sophia": "knight", "Avery": "knave", "Michael": "knight", "Chloe": "knave", "Luke": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people5_num100.jsonl", "file_sha256": "04a492522cdeb64a960632652b54e3fd27cc505fa8a1c48cf9c666cc8e7d6fb0", "row": 92, "dataset_index": 92 }, "codes": [], "text": "### Step 1: Analyze Sophia's statement\nSophia said, \"Michael is a knave or Michael is a knight.\" This is a tautology (always true), so Sophia must be a knight. Thus, \\( S = \\text{knight} \\).\n\n\n### Step 2: Analyze Michael's statement\nMichael said, \"Luke is a knave.\" Let \\( M \\) be Michael's type. If \\( M \\) is a knight, then Luke is a knave (\\( L = \\text{knave} \\)). If \\( M \\) is a knave, then Luke is a knight (\\( L = \\text{knight} \\)).\n\n\n### Step 3: Analyze Luke's statement\nLuke said, \"Avery is a knave if and only if Michael is a knave\" (i.e., \\( A \\leftrightarrow M \\)). If Luke is a knight, then \\( A \\leftrightarrow M \\) is true; if Luke is a knave, then \\( A \\leftrightarrow M \\) is false.\n\n\n### Step 4: Analyze Chloe's statement\nChloe said, \"If Michael is a knight then Michael is a knave\" (i.e., \\( M \\rightarrow \\neg M \\)). This is equivalent to \\( \\neg M \\) (since \\( M \\rightarrow \\neg M \\) is only true if \\( M \\) is false). If \\( M \\) is a knight, then \\( M \\rightarrow \\neg M \\) is false; if \\( M \\) is a knave, then \\( M \\rightarrow \\neg M \\) is true.\n\n\n### Step 5: Assume Michael is a knight\n- If \\( M = \\text{knight} \\), then Michael's statement \"Luke is a knave\" is true, so \\( L = \\text{knave} \\).\n- Luke is a knave, so his statement \\( A \\leftrightarrow M \\) is false. Since \\( M = \\text{knight} \\), \\( A \\leftrightarrow \\text{knight} \\) is false, so \\( A = \\text{knave} \\).\n- Avery is a knave, so her statement \"Sophia is a knight if and only if Chloe is a knight\" is false. Since \\( S = \\text{knight} \\), \"knight \\(\\leftrightarrow\\) \\( C \\)\" is false, so \\( C = \\text{knave} \\).\n- Chloe is a knave, so her statement \\( M \\rightarrow \\neg M \\) is false. Since \\( M = \\text{knight} \\), \\( \\text{true} \\rightarrow \\text{false} \\) is false, which is consistent with Chloe being a knave.\n\n\n### Step 6: Verify consistency\n- Sophia is a knight (consistent with her tautological statement).\n- Michael is a knight (consistent with his true statement about Luke).\n- Luke is a knave (consistent with lying about \\( A \\leftrightarrow M \\)).\n- Avery is a knave (consistent with lying about \\( S \\leftrightarrow C \\)).\n- Chloe is a knave (consistent with lying about \\( M \\rightarrow \\neg M \\)).\n\n\n### Final Answer\n{\"Sophia\": \"knight\", \"Avery\": \"knave\", \"Michael\": \"knight\", \"Chloe\": \"knave\", \"Luke\": \"knave\"}", "used_python_constraint": false, "duration_s": 14.403, "provider_receipts": [ { "turn": 1, "response_id": "021785352490652314cbdff50da45319a607e6bbd0e7cd8bdd692", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 291, "completion_tokens": 3106, "total_tokens": 3397, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p6-r080", "num": 6, "pred": { "Olivia": "knave", "Joseph": "knave", "Matthew": "knight", "Penelope": "knight", "Charlotte": "knight", "Liam": "knight" }, "gold": { "Olivia": "knave", "Joseph": "knave", "Matthew": "knight", "Penelope": "knight", "Charlotte": "knight", "Liam": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people6_num100.jsonl", "file_sha256": "4b6131d749c47ce1580d0443e373112cc5f0e20f1b0245455b3df63b106580c5", "row": 80, "dataset_index": 80 }, "codes": [], "text": "{\n \"Olivia\": \"knave\",\n \"Joseph\": \"knave\",\n \"Matthew\": \"knight\",\n \"Penelope\": \"knight\",\n \"Charlotte\": \"knight\",\n \"Liam\": \"knight\"\n}", "used_python_constraint": false, "duration_s": 17.765, "provider_receipts": [ { "turn": 1, "response_id": "021785352505060314cbdff50da45319a607e6bbd0e7cd821dc52", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 315, "completion_tokens": 4136, "total_tokens": 4451, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p6-r085", "num": 6, "pred": { "David": "knave", "Ava": "knave", "Riley": "knave", "Aiden": "knave", "Sebastian": "knave", "Abigail": "knave" }, "gold": { "David": "knave", "Ava": "knave", "Riley": "knave", "Aiden": "knave", "Sebastian": "knave", "Abigail": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people6_num100.jsonl", "file_sha256": "4b6131d749c47ce1580d0443e373112cc5f0e20f1b0245455b3df63b106580c5", "row": 85, "dataset_index": 85 }, "codes": [], "text": "{\"David\": \"knave\", \"Ava\": \"knave\", \"Riley\": \"knave\", \"Aiden\": \"knave\", \"Sebastian\": \"knave\", \"Abigail\": \"knave\"}", "used_python_constraint": false, "duration_s": 10.957, "provider_receipts": [ { "turn": 1, "response_id": "021785352522830314cbdff50da45319a607e6bbd0e7cd8aca73e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 298, "completion_tokens": 2458, "total_tokens": 2756, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p7-r067", "num": 7, "pred": { "Avery": "knight", "Liam": "knight", "William": "knave", "James": "knight", "Isabella": "knave", "Riley": "knave", "Ava": "knave" }, "gold": { "Avery": "knight", "Liam": "knight", "William": "knave", "James": "knight", "Isabella": "knave", "Riley": "knave", "Ava": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people7_num100.jsonl", "file_sha256": "d3051b151ef7e5c47a9cd69b09b52f1ec94c7f899821ec685e286e578c7932c5", "row": 67, "dataset_index": 67 }, "codes": [], "text": "### Step 1: Analyze Isabella's statement\nIsabella claims \"Liam is a knight if and only if Liam is a knave\" ( \\( L \\leftrightarrow \\neg L \\) ). This is a contradiction because \\( L \\) and \\( \\neg L \\) cannot be equivalent. Thus, Isabella must be a **knave** (since she lies).\n\n\n### Step 2: Analyze Avery's statement\nAvery says \"William is a knave or Isabella is a knave\" ( \\( W \\lor \\neg I \\) ). Since Isabella is a knave, \\( \\neg I \\) is true. A disjunction with a true component is always true. Since Avery's statement is true, Avery must be a **knight**.\n\n\n### Step 3: Analyze Liam and James' statements\nLiam's first statement is \"Liam is not a knave\" ( \\( L \\) ). James' statement is \"Liam is a knight\" ( \\( L \\) ). If Liam is a knight, both Liam and James tell the truth. If Liam is a knave, both lie. \n\nAva's statement is \"Liam is a knave or Isabella is a knight\" ( \\( \\neg L \\lor I \\) ). Since Isabella is a knave, \\( I \\) is false. Thus, Ava's statement simplifies to \\( \\neg L \\). \n\nLiam's second statement is \"Avery is a knight or Isabella is a knave\" ( \\( A \\lor \\neg I \\) ). Avery is a knight (\\( A = \\text{knight} \\)) and \\( \\neg I \\) is true (since Isabella is a knave), so \\( A \\lor \\neg I \\) is true. Since Liam's second statement is true, Liam must be a **knight** (as knights tell the truth).\n\n\n### Step 4: Analyze James' statement\nSince Liam is a knight, James' statement \"Liam is a knight\" is true. Thus, James is a **knight**.\n\n\n### Step 5: Analyze William's statement\nWilliam says \"James is a knave and Ava is a knave\" ( \\( \\neg J \\land \\neg A' \\) ). James is a knight (\\( \\neg J = \\text{false} \\)), so the entire statement is false. Thus, William is a **knave**.\n\n\n### Step 6: Analyze Ava's statement\nAva's statement is \\( \\neg L \\lor I \\). Since Liam is a knight (\\( L = \\text{knight} \\)) and Isabella is a knave (\\( I = \\text{knave} \\)), \\( \\neg L \\) is false and \\( I \\) is false. Thus, Ava's statement is false, so Ava is a **knave**.\n\n\n### Step 7: Analyze Riley's statement\nRiley says \"Isabella is a knight\" ( \\( I \\) ). Since Isabella is a knave, Riley's statement is false. Thus, Riley is a **knave**.\n\n\n### Final Answer\n{\"Avery\": \"knight\", \"Liam\": \"knight\", \"William\": \"knave\", \"James\": \"knight\", \"Isabella\": \"knave\", \"Riley\": \"knave\", \"Ava\": \"knave\"}", "used_python_constraint": false, "duration_s": 10.948, "provider_receipts": [ { "turn": 1, "response_id": "0217853535820480515b961aa2f7bb566212378fedc8c262cf91a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 327, "completion_tokens": 2259, "total_tokens": 2586, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p7-r092", "num": 7, "pred": { "Abigail": "knight", "Sophia": "knave", "Logan": "knight", "Owen": "knight", "Joseph": "knave", "Aiden": "knave", "Matthew": "knight" }, "gold": { "Abigail": "knight", "Sophia": "knave", "Logan": "knight", "Owen": "knight", "Joseph": "knave", "Aiden": "knave", "Matthew": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people7_num100.jsonl", "file_sha256": "d3051b151ef7e5c47a9cd69b09b52f1ec94c7f899821ec685e286e578c7932c5", "row": 92, "dataset_index": 92 }, "codes": [], "text": "### Step-by-Step Analysis:\n\n1. **Assume Aiden is a knight**:\n - Then, Aiden's statement implies Owen is a knave.\n - Owen's statement \"If Aiden is a knight then Matthew is a knight\" would be false (since Aiden is a knight but Matthew is a knave), contradicting Owen being a knave. Thus, Aiden cannot be a knight.\n\n2. **Assume Aiden is a knave**:\n - Then, Aiden's statement implies Owen is a knight.\n - Owen's statement \"If Aiden is a knight then Matthew is a knight\" is true (since Aiden is a knave, the implication holds).\n - Matthew is a knight, so his statement \"Joseph is a knave if and only if Sophia is a knight\" is true.\n - Joseph's statement \"Abigail is not a knight\" is false, so Abigail is a knight.\n - Abigail's statement \"Matthew is a knave or Logan is a knight\" is true (since Matthew is a knight, \"Logan is a knight\" must be true).\n - Logan is a knight, so his statement \"Abigail is a knight\" is true.\n - Matthew's true statement implies \"Joseph is a knave if and only if Sophia is a knight\". Joseph is a knave, so Sophia must be a knave.\n - Sophia's statement \"Owen is a knave if and only if Joseph is a knave\" is false (Owen is a knight, Joseph is a knave; false ↔ true is false), consistent with Sophia being a knave.\n\n### Final Answer:\n{\"Abigail\": \"knight\", \"Aiden\": \"knave\", \"Joseph\": \"knave\", \"Logan\": \"knight\", \"Matthew\": \"knight\", \"Owen\": \"knight\", \"Sophia\": \"knave\"}", "used_python_constraint": false, "duration_s": 54.898, "provider_receipts": [ { "turn": 1, "response_id": "0217853535928680515b961aa2f7bb566212378fedc8c264f9621", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 324, "completion_tokens": 11729, "total_tokens": 12053, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p8-r002", "num": 8, "pred": { "Isabella": "knight", "Avery": "knight", "Ella": "knight", "Matthew": "knight", "Luke": "knight", "Mia": "knight", "Scarlett": "knight", "Benjamin": "knight" }, "gold": { "Isabella": "knight", "Avery": "knight", "Ella": "knight", "Matthew": "knight", "Luke": "knight", "Mia": "knight", "Scarlett": "knight", "Benjamin": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people8_num100.jsonl", "file_sha256": "3710c66680d201ebf3d6d243fa9f54ee7e5ce35570ed44f87cd5111b05dc1d9b", "row": 2, "dataset_index": 2 }, "codes": [], "text": "{\n\"Isabella\": \"knight\",\n\"Avery\": \"knight\",\n\"Ella\": \"knight\",\n\"Matthew\": \"knight\",\n\"Luke\": \"knight\",\n\"Mia\": \"knight\",\n\"Scarlett\": \"knight\",\n\"Benjamin\": \"knight\"\n}", "used_python_constraint": false, "duration_s": 10.324, "provider_receipts": [ { "turn": 1, "response_id": "0217853536477720515b961aa2f7bb566212378fedc8c2639ad22", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 328, "completion_tokens": 1817, "total_tokens": 2145, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p8-r014", "num": 8, "pred": { "Avery": "knight", "Sophia": "knight", "Lily": "knight", "Penelope": "knave", "Oliver": "knave", "Jackson": "knave", "Sebastian": "knight", "Samuel": "knave" }, "gold": { "Avery": "knight", "Sophia": "knight", "Lily": "knight", "Penelope": "knave", "Oliver": "knave", "Jackson": "knave", "Sebastian": "knight", "Samuel": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people8_num100.jsonl", "file_sha256": "3710c66680d201ebf3d6d243fa9f54ee7e5ce35570ed44f87cd5111b05dc1d9b", "row": 14, "dataset_index": 14 }, "codes": [], "text": "### Step 1: Define Variables and Statements\nLet \\( A, S, L, Pen, O, J, Seb, Sam \\) represent whether Avery, Sophia, Lily, Penelope, Oliver, Jackson, Sebastian, and Samuel are knights (T) or knaves (F). The statements are:\n\n- Lily: \\( L \\leftrightarrow (A \\leftrightarrow \\neg Sam) \\)\n- Sophia: \\( S \\leftrightarrow (L \\land S) \\)\n- Penelope: \\( Pen \\leftrightarrow \\neg Seb \\)\n- Oliver: \\( O \\leftrightarrow \\neg L \\)\n- Samuel: \\( Sam \\leftrightarrow (\\neg L \\leftrightarrow Seb) \\)\n- Jackson: \\( J \\leftrightarrow (\\neg S \\land Sam) \\)\n- Sebastian: \\( Seb \\leftrightarrow (\\neg A \\lor S) \\)\n- Avery: \\( A \\leftrightarrow (Pen \\rightarrow L) \\)\n\n\n### Step 2: Analyze Sophia's Statement\nSophia's statement: \\( S \\leftrightarrow (L \\land S) \\). \n- If \\( S = T \\), then \\( L \\land S = T \\) implies \\( L = T \\). \n- If \\( S = F \\), then \\( \\neg (L \\land S) = T \\), but this leads to contradictions later. Assume \\( S = T \\) first.\n\n\n### Step 3: Analyze Lily's Statement\nLily's statement: \\( L \\leftrightarrow (A \\leftrightarrow \\neg Sam) \\). \n- Since \\( L = T \\), \\( A \\leftrightarrow \\neg Sam = T \\) implies \\( A = \\neg Sam \\). \n\n\n### Step 4: Analyze Sebastian's Statement\nSebastian's statement: \\( Seb \\leftrightarrow (\\neg A \\lor S) \\). \n- Since \\( S = T \\), \\( \\neg A \\lor S = T \\). Thus, \\( Seb = T \\). \n\n\n### Step 5: Analyze Penelope's Statement\nPenelope's statement: \\( Pen \\leftrightarrow \\neg Seb \\). \n- Since \\( Seb = T \\), \\( \\neg Seb = F \\) implies \\( Pen = F \\). \n\n\n### Step 6: Analyze Avery's Statement\nAvery's statement: \\( A \\leftrightarrow (Pen \\rightarrow L) \\). \n- Since \\( Pen = F \\), \\( Pen \\rightarrow L = T \\) (because false implies anything is true). Thus, \\( A = T \\). \n\n\n### Step 7: Analyze Samuel's Statement\nSamuel's statement: \\( Sam \\leftrightarrow (\\neg L \\leftrightarrow Seb) \\). \n- Since \\( L = T \\), \\( \\neg L = F \\). Thus, \\( \\neg L \\leftrightarrow Seb = F \\leftrightarrow T = F \\). Since \\( A = T \\) and \\( A = \\neg Sam \\), \\( \\neg Sam = T \\) implies \\( Sam = F \\). \n\n\n### Step 8: Analyze Oliver's Statement\nOliver's statement: \\( O \\leftrightarrow \\neg L \\). \n- Since \\( L = T \\), \\( \\neg L = F \\) implies \\( O = F \\). \n\n\n### Step 9: Analyze Jackson's Statement\nJackson's statement: \\( J \\leftrightarrow (\\neg S \\land Sam) \\). \n- Since \\( S = T \\), \\( \\neg S = F \\) and \\( Sam = F \\), \\( \\neg S \\land Sam = F \\) implies \\( J = F \\). \n\n\n### Final Verification\nAll statements are consistent with: \n- \\( A = T \\) \n- \\( S = T \\) \n- \\( L = T \\) \n- \\( Pen = F \\) \n- \\( O = F \\) \n- \\( J = F \\) \n- \\( Seb = T \\) \n- \\( Sam = F \\)\n\n\n### JSON Output\n{\"Avery\": \"knight\", \"Sophia\": \"knight\", \"Lily\": \"knight\", \"Penelope\": \"knave\", \"Oliver\": \"knave\", \"Jackson\": \"knave\", \"Sebastian\": \"knight\", \"Samuel\": \"knave\"}", "used_python_constraint": false, "duration_s": 28.686, "provider_receipts": [ { "turn": 1, "response_id": "0217853536580970515b961aa2f7bb566212378fedc8c26282117", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 347, "completion_tokens": 5308, "total_tokens": 5655, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p2-r013", "num": 2, "pred": { "Aria": "knight", "Benjamin": "knave" }, "gold": { "Aria": "knight", "Benjamin": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people2_num100.jsonl", "file_sha256": "92b9d18d12ea3eaaa0a49daa03f519b5c5f66614bf724e541e9c00e1b9be24ae", "row": 13, "dataset_index": 13 }, "codes": [], "text": "### Step 1: Define variables and statements\nLet \\( A \\) be Aria's type (saint = \\( \\text{knight} \\), sinner = \\( \\text{knave} \\)) and \\( B \\) be Benjamin's type. \n- Aria's statement: \"Benjamin is a saint or Aria is a saint\" → \\( B \\lor A \\). \n- Benjamin's statement: \"Aria is a sinner\" → \\( \\neg A \\). \n\n\n### Step 2: Case 1: Aria is a saint (\\( A = \\text{knight} \\))\nIf \\( A \\) is a saint, her statement \\( B \\lor A \\) must be true. Since \\( A \\) is a saint, \\( A \\) is true, so \\( B \\lor A \\) is automatically true (because a disjunction is true if at least one part is true). \nNow, consider Benjamin's statement: \\( \\neg A \\). Since \\( A \\) is a saint, \\( \\neg A \\) is false. Therefore, Benjamin must be a knave (\\( B = \\text{knave} \\)). \n\n\n### Step 3: Case 2: Aria is a knave (\\( A = \\text{knave} \\))\nIf \\( A \\) is a knave, her statement \\( B \\lor A \\) must be false. A disjunction is false only if both parts are false. Thus: \n- \\( B \\) must be false (so \\( B \\) is a knave). \n- \\( A \\) must be false, which is true since \\( A \\) is a knave. \n\nNow, check Benjamin's statement: \\( \\neg A \\). Since \\( A \\) is a knave, \\( \\neg A \\) is true. But Benjamin is a knave, so he must lie. However, his statement \\( \\neg A \\) is true, which is a contradiction. Thus, Case 2 is impossible. \n\n\n### Conclusion\nAria is a saint (\\( \\text{knight} \\)) and Benjamin is a sinner (\\( \\text{knave} \\)).\n\n{\"Aria\": \"knight\", \"Benjamin\": \"knave\"}", "used_python_constraint": false, "duration_s": 6.721, "provider_receipts": [ { "turn": 1, "response_id": "0217853536867910515b961aa2f7bb566212378fedc8c26b53835", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 238, "completion_tokens": 1100, "total_tokens": 1338, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p2-r014", "num": 2, "pred": { "Jack": "knave", "Mason": "knave" }, "gold": { "Jack": "knave", "Mason": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people2_num100.jsonl", "file_sha256": "92b9d18d12ea3eaaa0a49daa03f519b5c5f66614bf724e541e9c00e1b9be24ae", "row": 14, "dataset_index": 14 }, "codes": [], "text": "{\"Jack\": \"knave\", \"Mason\": \"knave\"}", "used_python_constraint": false, "duration_s": 12.18, "provider_receipts": [ { "turn": 1, "response_id": "0217853536935160515b961aa2f7bb566212378fedc8c265cfc18", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 233, "completion_tokens": 2381, "total_tokens": 2614, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p3-r054", "num": 3, "pred": { "Jackson": "knight", "Henry": "knave", "Liam": "knave" }, "gold": { "Jackson": "knight", "Henry": "knave", "Liam": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people3_num100.jsonl", "file_sha256": "6eb60022244be6fa25d372d1580eb8dddfb06914d7290dbe1d64c9cb57c1f612", "row": 54, "dataset_index": 54 }, "codes": [], "text": "{\n\"Jackson\": \"knight\",\n\"Henry\": \"knave\",\n\"Liam\": \"knave\"\n}", "used_python_constraint": false, "duration_s": 4.703, "provider_receipts": [ { "turn": 1, "response_id": "0217853537056980515b961aa2f7bb566212378fedc8c26f0b47f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 249, "completion_tokens": 829, "total_tokens": 1078, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p3-r075", "num": 3, "pred": { "Mason": "knight", "Jack": "knight", "Harper": "knight" }, "gold": { "Mason": "knight", "Jack": "knight", "Harper": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people3_num100.jsonl", "file_sha256": "6eb60022244be6fa25d372d1580eb8dddfb06914d7290dbe1d64c9cb57c1f612", "row": 75, "dataset_index": 75 }, "codes": [], "text": "### Step 1: Define variables and translate statements\nLet \\( M \\) represent Mason, \\( J \\) represent Jack, and \\( H \\) represent Harper. Saints tell the truth, sinners lie.\n\n- Mason's statement: \"Harper is not a sinner\" → If \\( M \\) is a saint, then \\( H \\) is a saint; if \\( M \\) is a sinner, then \\( H \\) is a sinner.\n- Jack's statement: \"If Jack is a saint then Harper is a saint\" → Logical form: \\( J_{\\text{saint}} \\rightarrow H_{\\text{saint}} \\).\n- Harper's statement: \"Jack is a saint or Mason is a sinner\" → Logical form: \\( J_{\\text{saint}} \\lor \\neg M_{\\text{saint}} \\).\n\n\n### Step 2: Analyze cases for Mason's identity\n\n#### Case 1: Mason is a saint (\\( M_{\\text{saint}} = \\text{true} \\))\n- If \\( M \\) is a saint, then his statement is true, so \\( H_{\\text{saint}} = \\text{true} \\) (Harper is a saint).\n- Jack's statement: \\( J_{\\text{saint}} \\rightarrow H_{\\text{saint}} \\). Since \\( H_{\\text{saint}} = \\text{true} \\), the implication \\( J_{\\text{saint}} \\rightarrow \\text{true} \\) is always true. Thus, \\( J_{\\text{saint}} = \\text{true} \\) (Jack is a saint).\n- Harper's statement: \\( J_{\\text{saint}} \\lor \\neg M_{\\text{saint}} \\). Since \\( J_{\\text{saint}} = \\text{true} \\), the statement is true. This is consistent with Harper being a saint.\n\n\n#### Case 2: Mason is a sinner (\\( M_{\\text{saint}} = \\text{false} \\))\n- If \\( M \\) is a sinner, then his statement is false, so \\( H_{\\text{saint}} = \\text{false} \\) (Harper is a sinner).\n- Jack's statement: \\( J_{\\text{saint}} \\rightarrow H_{\\text{saint}} \\). Since \\( H_{\\text{saint}} = \\text{false} \\), the implication \\( J_{\\text{saint}} \\rightarrow \\text{false} \\) is only false if \\( J_{\\text{saint}} = \\text{true} \\). Thus, \\( J_{\\text{saint}} = \\text{true} \\) (Jack is a saint).\n- Harper's statement: \\( J_{\\text{saint}} \\lor \\neg M_{\\text{saint}} \\). Since \\( \\neg M_{\\text{saint}} = \\text{true} \\), the statement is true. However, Harper is a sinner, so she must lie. This is a contradiction, so Case 2 is invalid.\n\n\n### Step 3: Conclusion\nThe only consistent case is Mason, Jack, and Harper all being saints.\n\n{\"Mason\": \"knight\", \"Jack\": \"knight\", \"Harper\": \"knight\"}", "used_python_constraint": false, "duration_s": 7.531, "provider_receipts": [ { "turn": 1, "response_id": "0217853537104070515b961aa2f7bb566212378fedc8c269daec7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 256, "completion_tokens": 1506, "total_tokens": 1762, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p4-r068", "num": 4, "pred": { "Aurora": "knight", "Elizabeth": "knave", "Grace": "knight", "Daniel": "knight" }, "gold": { "Aurora": "knight", "Elizabeth": "knave", "Grace": "knight", "Daniel": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people4_num100.jsonl", "file_sha256": "1cafedf8ea1c5bf393d2366a6d798e66730059fdd5290c8b2a8cca35de6c4589", "row": 68, "dataset_index": 68 }, "codes": [], "text": "### Step 1: Analyze Elizabeth's statement\nElizabeth says \"Grace is an angel and Grace is a devil\". This is a contradiction (since a statement and its negation can't both be true), so Elizabeth must be a **devil** (because devils always lie).\n\n\n### Step 2: Analyze Aurora's statement\nAurora says \"Elizabeth is an angel if and only if Grace is a devil\". Since Elizabeth is a devil, \"Elizabeth is an angel\" is false. For the \"if and only if\" statement to hold, \"Grace is a devil\" must also be false. Therefore, \"Grace is a devil\" is false, which means **Grace is an angel**. Since Aurora's statement is true, Aurora is an **angel**.\n\n\n### Step 3: Analyze Grace's statement\nGrace says \"Daniel is a devil or Grace is an angel\". We already determined Grace is an angel, so \"Grace is an angel\" is true. A disjunction is true if at least one part is true, so Grace's statement is true. Thus, Grace is an **angel** (consistent with earlier conclusion).\n\n\n### Step 4: Analyze Daniel's statement\nDaniel says \"Aurora is an angel\". We determined Aurora is an angel, so Daniel's statement is true. Therefore, Daniel is an **angel**.\n\n\n### Final Answer\n{\"Aurora\": \"knight\", \"Elizabeth\": \"knave\", \"Grace\": \"knight\", \"Daniel\": \"knight\"}", "used_python_constraint": false, "duration_s": 8.296, "provider_receipts": [ { "turn": 1, "response_id": "0217853537179430515b961aa2f7bb566212378fedc8c26101a89", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 270, "completion_tokens": 1539, "total_tokens": 1809, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p4-r090", "num": 4, "pred": { "Jackson": "knight", "Isabella": "knight", "Olivia": "knight", "Mia": "knight" }, "gold": { "Jackson": "knight", "Isabella": "knight", "Olivia": "knight", "Mia": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people4_num100.jsonl", "file_sha256": "1cafedf8ea1c5bf393d2366a6d798e66730059fdd5290c8b2a8cca35de6c4589", "row": 90, "dataset_index": 90 }, "codes": [], "text": "{\"Jackson\": \"knight\", \"Isabella\": \"knight\", \"Olivia\": \"knight\", \"Mia\": \"knight\"}", "used_python_constraint": false, "duration_s": 16.768, "provider_receipts": [ { "turn": 1, "response_id": "0217853537262440515b961aa2f7bb566212378fedc8c269a1df3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 292, "completion_tokens": 3307, "total_tokens": 3599, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p5-r062", "num": 5, "pred": { "Ella": "knave", "Jacob": "knave", "Sebastian": "knight", "Logan": "knight", "James": "knave" }, "gold": { "Ella": "knave", "Jacob": "knave", "Sebastian": "knight", "Logan": "knight", "James": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people5_num100.jsonl", "file_sha256": "9036535b0ace7b3cfe1b8cf94fbb898b0c07e8d88d23cbc914707ed6d0221ebc", "row": 62, "dataset_index": 62 }, "codes": [], "text": "### Step 1: Analyze statements about Ella\nLogan says \"Ella is a villain\" and James says \"Ella is not a villain\". These are contradictory, so Logan and James must be opposite types.\n\n### Step 2: Assume Ella is a knight\nIf Ella is a knight, her statement \"Sebastian is a villain and Logan is a villain\" is true. Then Logan is a villain, but Logan's statement \"Ella is a villain\" would be a lie, implying Ella is a hero. Contradiction, so Ella is not a knight.\n\n### Step 3: Ella is a villain\nSince Ella is a villain, her statement \"Sebastian is a villain and Logan is a villain\" is false. The negation of \"A and B\" is \"not A or not B\", so at least one of Sebastian or Logan is a hero.\n\n### Step 4: Determine Logan's type\nLogan says \"Ella is a villain\", which is true because Ella is a villain. Thus, Logan is a hero (knight).\n\n### Step 5: Determine James' type\nJames says \"Ella is not a villain\", which is false because Ella is a villain. Thus, James is a villain (knave).\n\n### Step 6: Determine Jacob's type\nJacob says \"James is a hero\". Since James is a villain, Jacob's statement is false. Thus, Jacob is a villain (knave).\n\n### Step 7: Determine Sebastian's type\nSebastian says \"If Jacob is a hero then Ella is a hero\". Jacob is a villain, so the antecedent \"Jacob is a hero\" is false. An implication with a false antecedent is true. Thus, Sebastian's statement is true, so Sebastian is a hero (knight).\n\n### Final Answer\n{\"Ella\": \"knave\", \"Jacob\": \"knave\", \"Sebastian\": \"knight\", \"Logan\": \"knight\", \"James\": \"knave\"}", "used_python_constraint": false, "duration_s": 8.969, "provider_receipts": [ { "turn": 1, "response_id": "0217853537430170515b961aa2f7bb566212378fedc8c26a2e663", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 273, "completion_tokens": 1868, "total_tokens": 2141, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p5-r079", "num": 5, "pred": { "Emma": "knight", "Harper": "knave", "Aurora": "knave", "Sebastian": "knave", "James": "knave" }, "gold": { "Emma": "knight", "Harper": "knave", "Aurora": "knave", "Sebastian": "knave", "James": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people5_num100.jsonl", "file_sha256": "9036535b0ace7b3cfe1b8cf94fbb898b0c07e8d88d23cbc914707ed6d0221ebc", "row": 79, "dataset_index": 79 }, "codes": [], "text": "{\"Emma\": \"knight\", \"Harper\": \"knave\", \"Aurora\": \"knave\", \"Sebastian\": \"knave\", \"James\": \"knave\"}", "used_python_constraint": false, "duration_s": 43.177, "provider_receipts": [ { "turn": 1, "response_id": "0217853589927975e43bed6e99f957d955d5fe9d61687638cbf2c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 312, "completion_tokens": 8719, "total_tokens": 9031, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p6-r022", "num": 6, "pred": { "Ethan": "knave", "Oliver": "knight", "Amelia": "knight", "Charlotte": "knight", "Michael": "knight", "David": "knight" }, "gold": { "Ethan": "knave", "Oliver": "knight", "Amelia": "knight", "Charlotte": "knight", "Michael": "knight", "David": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people6_num100.jsonl", "file_sha256": "9d3a4bcd28f465b311bd5cdc96958b69529240f05e00a79d80ea7a54b8d53002", "row": 22, "dataset_index": 22 }, "codes": [], "text": "{\"Ethan\": \"knave\", \"Oliver\": \"knight\", \"Amelia\": \"knight\", \"Charlotte\": \"knight\", \"Michael\": \"knight\", \"David\": \"knight\"}", "used_python_constraint": false, "duration_s": 6.971, "provider_receipts": [ { "turn": 1, "response_id": "0217853590358385e43bed6e99f957d955d5fe9d61687631e039d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 302, "completion_tokens": 1268, "total_tokens": 1570, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p6-r045", "num": 6, "pred": { "Aria": "knight", "Penelope": "knight", "Ella": "knight", "Lily": "knight", "Ethan": "knave", "Grace": "knight" }, "gold": { "Aria": "knight", "Penelope": "knight", "Ella": "knight", "Lily": "knight", "Ethan": "knave", "Grace": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people6_num100.jsonl", "file_sha256": "9d3a4bcd28f465b311bd5cdc96958b69529240f05e00a79d80ea7a54b8d53002", "row": 45, "dataset_index": 45 }, "codes": [], "text": "### Step-by-Step Analysis:\n\n#### Step 1: Identify Statements and Key Observations\nWe have 6 inhabitants: Aria, Penelope, Ella, Lily, Ethan, Grace. Their statements are:\n- Aria: If Grace is an altruist, then Lily is an altruist. (Grace → Lily)\n- Penelope: If Aria is an egoist, then Ella is an altruist. (Aria_egoist → Ella_altruist)\n- Ella: Grace is an altruist if and only if Ethan is an egoist. (Grace ↔ Ethan_egoist)\n- Lily: If Ella is an egoist, then Aria is an altruist. (Ella_egoist → Aria_altruist)\n- Ethan: Lily is not an altruist. (Lily_knave)\n- Grace: If Aria is an egoist, then Ella is an altruist. (Aria_egoist → Ella_altruist)\n\nNotice Penelope’s and Grace’s statements are identical: \"If Aria is an egoist, then Ella is an altruist\".\n\n\n#### Step 2: Assume Aria is a Knight\n- **Aria is a knight**: Her statement \"Grace → Lily\" is true.\n- **Grace’s statement**: \"If Aria is an egoist, then Ella is an altruist\". Since Aria is a knight, \"Aria is an egoist\" is false. An implication with a false antecedent is true, so Grace’s statement is true → Grace is a knight.\n- **Ella’s statement**: \"Grace is an altruist if and only if Ethan is an egoist\". Since Grace is a knight, \"Grace is an altruist\" is true. Thus, Ella’s statement reduces to \"true if and only if Ethan is an egoist\", meaning Ella’s statement is equivalent to \"Ethan is an egoist\". If Ella is a knight, Ethan is an egoist; if Ella is a knave, Ethan is a knight.\n- **Ethan’s statement**: \"Lily is not an altruist\". If Ethan is an egoist (from Ella’s statement being false), his statement is false → Lily is an altruist.\n- **Lily’s statement**: \"If Ella is an egoist, then Aria is an altruist\". Ella is a knight, so Ella is not an egoist. The antecedent \"Ella is an egoist\" is false, so the implication is true → Lily is a knight (consistent with Lily being an altruist).\n- **Penelope’s statement**: Identical to Grace’s, which is true because the antecedent \"Aria is an egoist\" is false → Penelope is a knight.\n\n\n#### Step 3: Rule Out Contradictions\nAssuming Aria is a knave leads to contradictions (e.g., Lily’s statement being false despite Lily being an altruist). Thus, the only consistent case is Aria being a knight, leading to all other inhabitants being knights except Ethan, who is a knave.\n\n\n### Final Answer\n{\"Aria\": \"knight\", \"Penelope\": \"knight\", \"Ella\": \"knight\", \"Lily\": \"knight\", \"Ethan\": \"knave\", \"Grace\": \"knight\"}", "used_python_constraint": false, "duration_s": 16.781, "provider_receipts": [ { "turn": 1, "response_id": "0217853590428155e43bed6e99f957d955d5fe9d6168763528855", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 339, "completion_tokens": 3170, "total_tokens": 3509, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p7-r064", "num": 7, "pred": { "Penelope": "knight", "Elizabeth": "knave", "Amelia": "knave", "Sofia": "knight", "James": "knave", "Sebastian": "knave", "Harper": "knight" }, "gold": { "Penelope": "knave", "Elizabeth": "knight", "Amelia": "knave", "Sofia": "knight", "James": "knave", "Sebastian": "knave", "Harper": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people7_num100.jsonl", "file_sha256": "389713889ec22d14bf64d1bb9b846d1fb7a4adba44004b6ce9db1e0ac3d54190", "row": 64, "dataset_index": 64 }, "codes": [], "text": "{\n\"Penelope\": \"knight\",\n\"Elizabeth\": \"knave\",\n\"Amelia\": \"knave\",\n\"Sofia\": \"knight\",\n\"James\": \"knave\",\n\"Sebastian\": \"knave\",\n\"Harper\": \"knight\"\n}", "used_python_constraint": false, "duration_s": 36.442, "provider_receipts": [ { "turn": 1, "response_id": "0217853590596025e43bed6e99f957d955d5fe9d6168763820452", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 322, "completion_tokens": 7448, "total_tokens": 7770, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p7-r091", "num": 7, "pred": { "Olivia": "knight", "Charlotte": "knave", "Aiden": "knight", "Avery": "knave", "Luke": "knight", "Harper": "knight", "Sofia": "knave" }, "gold": { "Olivia": "knight", "Charlotte": "knave", "Aiden": "knight", "Avery": "knave", "Luke": "knight", "Harper": "knight", "Sofia": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people7_num100.jsonl", "file_sha256": "389713889ec22d14bf64d1bb9b846d1fb7a4adba44004b6ce9db1e0ac3d54190", "row": 91, "dataset_index": 91 }, "codes": [], "text": "### Step 1: Analyze Olivia's statement\nOlivia says \"Sofia is a sinner and Harper is a saint\". Assume Olivia is a saint (knight). Then her statement is true, so Sofia is a sinner (knave) and Harper is a saint (knight).\n\n### Step 2: Analyze Luke's statement\nLuke says \"Harper is a saint\". Since Harper is a saint, Luke's statement is true, so Luke is a saint.\n\n### Step 3: Analyze Charlotte's statement\nCharlotte says \"Sofia is a sinner and Harper is a sinner\". We know Harper is a saint, so Charlotte's statement is false. Thus, Charlotte is a sinner (knave).\n\n### Step 4: Analyze Avery's statement\nAvery says \"Olivia is not a saint\". Since Olivia is a saint, Avery's statement is false. Thus, Avery is a sinner (knave).\n\n### Step 5: Analyze Harper's statement\nHarper says \"Avery is a saint or Aiden is a saint\". Avery is a sinner, so for this to be true, Aiden must be a saint. Thus, Aiden is a saint (knight).\n\n### Step 6: Analyze Aiden's statement\nAiden says \"If Sofia is a saint then Charlotte is a saint\". Sofia is a sinner, so the antecedent \"Sofia is a saint\" is false. An implication with a false antecedent is true, so Aiden's statement is consistent with him being a saint.\n\n### Step 7: Analyze Sofia's statement\nSofia says \"Harper is a sinner and Avery is a saint\". Harper is a saint and Avery is a sinner, so Sofia's statement is false. Thus, Sofia is a sinner (knave).\n\n\n### Final Answer\n{\"Olivia\": \"knight\", \"Charlotte\": \"knave\", \"Aiden\": \"knight\", \"Avery\": \"knave\", \"Luke\": \"knight\", \"Harper\": \"knight\", \"Sofia\": \"knave\"}", "used_python_constraint": false, "duration_s": 11.995, "provider_receipts": [ { "turn": 1, "response_id": "0217853590960495e43bed6e99f957d955d5fe9d6168763253206", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 317, "completion_tokens": 2327, "total_tokens": 2644, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p8-r068", "num": 8, "pred": { "Jackson": "knave", "Ava": "knave", "Michael": "knight", "Aria": "knave", "Lily": "knave", "Emily": "knave", "James": "knight", "Sebastian": "knave" }, "gold": { "Jackson": "knave", "Ava": "knave", "Michael": "knight", "Aria": "knave", "Lily": "knave", "Emily": "knave", "James": "knight", "Sebastian": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people8_num100.jsonl", "file_sha256": "8885fe0d63bfe5910617bd84e6be646f7b62a26978a649b4173889601d0f9229", "row": 68, "dataset_index": 68 }, "codes": [], "text": "### Step-by-Step Analysis:\n\n1. **Lily's Statement**: Lily says \"Jackson is a pioneer\". If Lily is a pioneer (knight), then Jackson is a pioneer. But this leads to contradictions in other statements. If Lily is a laggard (knave), then Jackson is a laggard.\n\n2. **Jackson's Statement**: Jackson says \"Sebastian is not a laggard\". If Jackson is a laggard (knave), then Sebastian is a laggard.\n\n3. **James's Statement**: James says \"If Jackson is a pioneer then James is a pioneer\". Since Jackson is a laggard (knave), the implication is trivially true, so James can be a pioneer (knight).\n\n4. **Ava's Statement**: Ava says \"James is a laggard or Emily is a pioneer\". If Ava is a laggard (knave), her statement must be false. Thus, both \"James is a laggard\" and \"Emily is a pioneer\" are false, so James is a pioneer and Emily is a laggard.\n\n5. **Emily's Statement**: Emily says \"If Ava is a laggard then Emily is a pioneer\". Since Emily is a laggard (knave), her statement must be false. The implication \"If Ava is a laggard then Emily is a pioneer\" is false only if Ava is a laggard and Emily is not a pioneer, which matches.\n\n6. **Michael's Statement**: Michael says \"If Aria is a laggard then Sebastian is a laggard\". If Michael is a pioneer (knight), then the implication holds. Aria says \"Michael is not a pioneer\", so if Aria is a laggard (knave), her statement is false, confirming Michael is a pioneer.\n\n7. **Sebastian's Statement**: Sebastian is a laggard (knave), so his statement \"If Emily is a laggard then James is a laggard\" must be false. Since Emily is a laggard and James is a pioneer, the implication is false, which matches.\n\n\n### Final Answer:\n{\"Jackson\": \"knave\", \"Ava\": \"knave\", \"Michael\": \"knight\", \"Aria\": \"knave\", \"Lily\": \"knave\", \"Emily\": \"knave\", \"James\": \"knight\", \"Sebastian\": \"knave\"}", "used_python_constraint": false, "duration_s": 24.535, "provider_receipts": [ { "turn": 1, "response_id": "0217853591080505e43bed6e99f957d955d5fe9d6168763f59b64", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 341, "completion_tokens": 4764, "total_tokens": 5105, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p8-r071", "num": 8, "pred": { "Riley": "knight", "James": "knave", "Benjamin": "knave", "Noah": "knave", "Lily": "knave", "Sofia": "knight", "Luke": "knight", "Michael": "knight" }, "gold": { "Riley": "knight", "James": "knave", "Benjamin": "knave", "Noah": "knave", "Lily": "knave", "Sofia": "knight", "Luke": "knight", "Michael": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people8_num100.jsonl", "file_sha256": "8885fe0d63bfe5910617bd84e6be646f7b62a26978a649b4173889601d0f9229", "row": 71, "dataset_index": 71 }, "codes": [], "text": "{\n \"Riley\": \"knight\",\n \"James\": \"knave\",\n \"Benjamin\": \"knave\",\n \"Noah\": \"knave\",\n \"Lily\": \"knave\",\n \"Sofia\": \"knight\",\n \"Luke\": \"knight\",\n \"Michael\": \"knight\"\n}", "used_python_constraint": false, "duration_s": 20.717, "provider_receipts": [ { "turn": 1, "response_id": "0217853591325905e43bed6e99f957d955d5fe9d6168763a30920", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 350, "completion_tokens": 4738, "total_tokens": 5088, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p2-r016", "num": 2, "pred": { "Amaryllis": "knave", "Balthazar": "knave" }, "gold": { "Amaryllis": "knave", "Balthazar": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people2_num100.jsonl", "file_sha256": "25437adfc79438934dbaa113f4a2b06378d3f899a3cc9d8193202a3e0d746f29", "row": 16, "dataset_index": 16 }, "codes": [], "text": "### Step 1: Define Variables and Statements\nLet \\( A \\) represent Amaryllis being a knight (true) or knave (false), and \\( B \\) represent Balthazar being a knight (true) or knave (false). \n\n- Amaryllis claims: \"Balthazar is a knave if and only if Amaryllis is a knight,\" which translates to the biconditional statement \\( \\neg B \\leftrightarrow A \\).\n- Balthazar claims: \"Amaryllis is not a knave,\" which translates to \\( A \\) (since \"Amaryllis is not a knave\" is equivalent to \"Amaryllis is a knight\").\n\n\n### Step 2: Analyze Cases for \\( A \\)\n#### Case 1: Assume \\( A \\) is a knight (\\( A = \\text{true} \\))\n- If \\( A \\) is a knight, Balthazar’s claim \"Amaryllis is a knight\" is true, so \\( B \\) must be a knight (\\( B = \\text{true} \\)).\n- Amaryllis’s statement is \\( \\neg B \\leftrightarrow A \\). Substituting \\( B = \\text{true} \\) and \\( A = \\text{true} \\), we get \\( \\neg \\text{true} \\leftrightarrow \\text{true} \\), which simplifies to \\( \\text{false} \\leftrightarrow \\text{true} \\). A biconditional is false when the truth values differ. Since Amaryllis is a knight, she must tell the truth, but this is a contradiction. Thus, \\( A \\) cannot be a knight.\n\n\n#### Case 2: Assume \\( A \\) is a knave (\\( A = \\text{false} \\))\n- If \\( A \\) is a knave, Balthazar’s claim \"Amaryllis is a knight\" is false, so \\( B \\) must be a knave (\\( B = \\text{false} \\)).\n- Amaryllis’s statement is \\( \\neg B \\leftrightarrow A \\). Substituting \\( B = \\text{false} \\) and \\( A = \\text{false} \\), we get \\( \\neg \\text{false} \\leftrightarrow \\text{false} \\), which simplifies to \\( \\text{true} \\leftrightarrow \\text{false} \\). A biconditional is false when the truth values differ. Since Amaryllis is a knave, she lies, and this matches the false biconditional. Balthazar, being a knave, lies about \"Amaryllis is a knight,\" which is consistent with \\( A \\) being a knave.\n\n\n### Final Conclusion\nBoth Amaryllis and Balthazar are knaves.\n\n```json\n{\"Amaryllis\": \"knave\", \"Balthazar\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 26.128, "provider_receipts": [ { "turn": 1, "response_id": "0217853591533135e43bed6e99f957d955d5fe9d6168763a16116", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 257, "completion_tokens": 5913, "total_tokens": 6170, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p2-r082", "num": 2, "pred": { "Percival": "knight", "Caius": "knight" }, "gold": { "Percival": "knight", "Caius": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people2_num100.jsonl", "file_sha256": "25437adfc79438934dbaa113f4a2b06378d3f899a3cc9d8193202a3e0d746f29", "row": 82, "dataset_index": 82 }, "codes": [], "text": "### Step 1: Define variables\nLet \\( P \\) be \"Percival is a knight\" and \\( C \\) be \"Caius is a knight\". Both Percival and Caius make the statement \"If Percival is a knight, then Caius is a knight\", which is logically equivalent to \\( P \\rightarrow C \\).\n\n\n### Step 2: Analyze Percival being a knight\nIf Percival is a knight (\\( P = \\text{true} \\)), then he tells the truth. The statement \\( P \\rightarrow C \\) must be true. In logic, \\( P \\rightarrow C \\) is true when either \\( P \\) is false or \\( C \\) is true. Since \\( P = \\text{true} \\), \\( C \\) must be true to satisfy \\( P \\rightarrow C \\). Thus, Caius is a knight (\\( C = \\text{true} \\)).\n\n\n### Step 3: Analyze Percival being a knave\nIf Percival is a knave (\\( P = \\text{false} \\)), then he lies. The statement \\( P \\rightarrow C \\) must be false. The negation of \\( P \\rightarrow C \\) is \\( P \\land \\neg C \\). However, if \\( P = \\text{false} \\), then \\( P \\land \\neg C \\) becomes \\( \\text{false} \\land \\neg C \\), which is always false. This contradicts the requirement that the lie (negation of \\( P \\rightarrow C \\)) must be true. Thus, Percival cannot be a knave.\n\n\n### Conclusion\nSince Percival must be a knight, and his statement \\( P \\rightarrow C \\) is true, Caius must also be a knight.\n\n{\"Percival\": \"knight\", \"Caius\": \"knight\"}", "used_python_constraint": false, "duration_s": 7.463, "provider_receipts": [ { "turn": 1, "response_id": "0217853591794445e43bed6e99f957d955d5fe9d6168763544c28", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 248, "completion_tokens": 1497, "total_tokens": 1745, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p3-r037", "num": 3, "pred": { "Peregrine": "knight", "Cosima": "knight", "Quillan": "knave" }, "gold": { "Peregrine": "knight", "Cosima": "knight", "Quillan": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people3_num100.jsonl", "file_sha256": "087b47837520c8da31d78deac08781c3a62ad7961bae246d68f81843b3795ab0", "row": 37, "dataset_index": 37 }, "codes": [], "text": "### Step 1: Analyze Cosima's statement\nCosima says, \"If Quillan is a knight, then Quillan is a knave.\" In logical terms, this is \\( Q \\rightarrow \\neg Q \\). This implication is equivalent to \\( \\neg Q \\) (because \\( P \\rightarrow Q \\) is \\( \\neg P \\lor Q \\), so \\( Q \\rightarrow \\neg Q \\) is \\( \\neg Q \\lor \\neg Q = \\neg Q \\)). Thus, Cosima's statement is \\( \\neg Q \\).\n\n\n### Step 2: Analyze Quillan's statement\nQuillan says, \"Peregrine is a knight if and only if Quillan is a knight.\" This is \\( P \\leftrightarrow Q \\).\n\n\n### Step 3: Case analysis for Quillan's truth value\n- **Case 1: Quillan is a knight (\\( Q = \\text{true} \\))**: \n Quillan's statement \\( P \\leftrightarrow Q \\) must be true. Since \\( Q = \\text{true} \\), \\( P \\leftrightarrow \\text{true} \\) implies \\( P = \\text{true} \\) (because \\( \\text{true} \\leftrightarrow \\text{true} \\) is true). Now, Peregrine's statement is \\( P \\leftrightarrow C \\). Since \\( P = \\text{true} \\), \\( \\text{true} \\leftrightarrow C \\) implies \\( C = \\text{true} \\). But Cosima's statement is \\( \\neg Q \\). If \\( C = \\text{true} \\), Cosima is a knight, so \\( \\neg Q = \\text{true} \\) implies \\( Q = \\text{false} \\), contradicting \\( Q = \\text{true} \\). Thus, this case is invalid.\n\n- **Case 2: Quillan is a knave (\\( Q = \\text{false} \\))**: \n Quillan's statement \\( P \\leftrightarrow Q \\) must be false. Since \\( Q = \\text{false} \\), \\( P \\leftrightarrow \\text{false} \\) implies \\( P = \\text{true} \\) (because \\( \\text{true} \\leftrightarrow \\text{false} \\) is false). Now, Peregrine's statement is \\( P \\leftrightarrow C \\). Since \\( P = \\text{true} \\), \\( \\text{true} \\leftrightarrow C \\) implies \\( C = \\text{true} \\). Cosima's statement is \\( \\neg Q \\). Since \\( Q = \\text{false} \\), \\( \\neg Q = \\text{true} \\), and Cosima is a knight (because \\( C = \\text{true} \\)), this is consistent.\n\n\n### Final Conclusion\n- Peregrine is a knight (\\( P = \\text{true} \\)) \n- Cosima is a knight (\\( C = \\text{true} \\)) \n- Quillan is a knave (\\( Q = \\text{false} \\))\n\n{\"Peregrine\": \"knight\", \"Cosima\": \"knight\", \"Quillan\": \"knave\"}", "used_python_constraint": false, "duration_s": 7.207, "provider_receipts": [ { "turn": 1, "response_id": "0217853591869145e43bed6e99f957d955d5fe9d6168763a8fb4b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 283, "completion_tokens": 1657, "total_tokens": 1940, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p3-r040", "num": 3, "pred": { "Vesper": "knave", "Oberon": "knave", "Cillian": "knave" }, "gold": { "Vesper": "knave", "Oberon": "knave", "Cillian": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people3_num100.jsonl", "file_sha256": "087b47837520c8da31d78deac08781c3a62ad7961bae246d68f81843b3795ab0", "row": 40, "dataset_index": 40 }, "codes": [], "text": "{\"Vesper\": \"knave\", \"Oberon\": \"knave\", \"Cillian\": \"knave\"}", "used_python_constraint": false, "duration_s": 25.106, "provider_receipts": [ { "turn": 1, "response_id": "0217853591941285e43bed6e99f957d955d5fe9d61687639f5136", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 265, "completion_tokens": 5333, "total_tokens": 5598, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p4-r044", "num": 4, "pred": { "Cyprian": "knave", "Caius": "knave", "Zephyrine": "knight", "Zephyr": "knight" }, "gold": { "Cyprian": "knave", "Caius": "knave", "Zephyrine": "knight", "Zephyr": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people4_num100.jsonl", "file_sha256": "8e0edc42da3d5739a4e24f82725c6332e71189016391810b5e80d549c71d1004", "row": 44, "dataset_index": 44 }, "codes": [], "text": "### Step 1: Define variables and statements\nLet's define the following variables:\n- \\( C \\): Cyprian is a knight (true if Cyprian is a knight, false if he's a knave)\n- \\( Ca \\): Caius is a knight (true if Caius is a knight, false if he's a knave)\n- \\( Zr \\): Zephyrine is a knight (true if Zephyrine is a knight, false if she's a knave)\n- \\( Zp \\): Zephyr is a knight (true if Zephyr is a knight, false if he's a knave)\n\n### Step 2: Analyze Caius's statement\nCaius claims \"Cyprian is a knight\" (i.e., \\( Ca = C \\)). \n- If Caius is a knave (\\( Ca = \\text{false} \\)), then Cyprian is a knave (\\( C = \\text{false} \\)).\n\n### Step 3: Analyze Cyprian's statement\nCyprian claims \"Zephyr is a knight and Zephyrine is a knave\" (i.e., \\( Zp \\land \\neg Zr \\)). Since Cyprian is a knave (\\( C = \\text{false} \\)), his statement is false. The negation of \\( Zp \\land \\neg Zr \\) is \\( \\neg Zp \\lor Zr \\).\n\n### Step 4: Analyze Zephyrine's statement\nZephyrine claims \"Zephyr is a knave or Cyprian is a knave\" (i.e., \\( \\neg Zp \\lor \\neg C \\)). Since Cyprian is a knave (\\( \\neg C = \\text{true} \\)), \\( \\neg Zp \\lor \\neg C \\) is always true. Thus, Zephyrine must be a knight (\\( Zr = \\text{true} \\)).\n\n### Step 5: Analyze Zephyr's statement\nZephyr claims \"If Zephyrine is a knave then Cyprian is a knave\" (i.e., \\( \\neg Zr \\to \\neg C \\)). Since Zephyrine is a knight (\\( Zr = \\text{true} \\)), the antecedent \\( \\neg Zr \\) is false. An implication with a false antecedent is always true, so Zephyr must be a knight (\\( Zp = \\text{true} \\)).\n\n### Final Conclusion\n- Cyprian: knave (\\( C = \\text{false} \\))\n- Caius: knave (\\( Ca = \\text{false} \\))\n- Zephyrine: knight (\\( Zr = \\text{true} \\))\n- Zephyr: knight (\\( Zp = \\text{true} \\))\n\n```json\n{\"Cyprian\": \"knave\", \"Caius\": \"knave\", \"Zephyrine\": \"knight\", \"Zephyr\": \"knight\"}\n```", "used_python_constraint": false, "duration_s": 22.656, "provider_receipts": [ { "turn": 1, "response_id": "0217853592192425e43bed6e99f957d955d5fe9d6168763b224b4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 298, "completion_tokens": 5060, "total_tokens": 5358, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p4-r057", "num": 4, "pred": { "Eulalia": "knight", "Xiomara": "knight", "Amaryllis": "knave", "Calliope": "knave" }, "gold": { "Eulalia": "knight", "Xiomara": "knight", "Amaryllis": "knave", "Calliope": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people4_num100.jsonl", "file_sha256": "8e0edc42da3d5739a4e24f82725c6332e71189016391810b5e80d549c71d1004", "row": 57, "dataset_index": 57 }, "codes": [], "text": "### Step 1: Analyze Amaryllis's statement\nAmaryllis says, \"Amaryllis is a knight and Xiomara is a knave\" (A ∧ ¬X). We consider two cases:\n\n#### Case 1: Amaryllis is a knight (A = knight)\nIf A is a knight, then her statement is true, so ¬X must be true (Xiomara is a knave). \nCalliope says, \"Calliope is a knight and Amaryllis is a knight\" (C ∧ A). Since A is a knight, for this to be true, C must also be a knight (C = knight). \nXiomara is a knave, so her statement \"If Calliope is a knight then Eulalia is a knave\" is false. A conditional \"P → Q\" is false only if P is true and Q is false. Here, P = \"Calliope is a knight\" (true), so Q = \"Eulalia is a knave\" must be false, meaning Eulalia is a knight (E = knight). \nEulalia's statement is \"Amaryllis is a knave or Calliope is a knave\". But A = knight and C = knight, so \"¬A ∨ ¬C\" is false. This contradicts Eulalia being a knight (she must tell the truth). Thus, Case 1 is invalid.\n\n#### Case 2: Amaryllis is a knave (A = knave)\nIf A is a knave, her statement \"A ∧ ¬X\" is false (since A is false). \nCalliope says, \"Calliope is a knight and Amaryllis is a knight\" (C ∧ A). Since A is a knave, \"C ∧ A\" is false, so Calliope is a knave (C = knave). \nXiomara's statement \"If Calliope is a knight then Eulalia is a knave\" is evaluated. Since Calliope is a knave, the antecedent \"Calliope is a knight\" is false. A conditional with a false antecedent is true, so Xiomara's statement is true. Thus, Xiomara is a knight (X = knight). \nEulalia's statement \"Amaryllis is a knave or Calliope is a knave\" is true because ¬A (Amaryllis is a knave) is true. Thus, Eulalia is a knight (E = knight).\n\n\n### Final Answer\n{\"Eulalia\": \"knight\", \"Xiomara\": \"knight\", \"Amaryllis\": \"knave\", \"Calliope\": \"knave\"}", "used_python_constraint": false, "duration_s": 7.287, "provider_receipts": [ { "turn": 1, "response_id": "0217853592419005e43bed6e99f957d955d5fe9d6168763f44c56", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 313, "completion_tokens": 1546, "total_tokens": 1859, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p5-r005", "num": 5, "pred": { "Saffron": "knave", "Zora": "knight", "Cosima": "knight", "Xiomara": "knave", "Perdita": "knave" }, "gold": { "Saffron": "knave", "Zora": "knight", "Cosima": "knight", "Xiomara": "knave", "Perdita": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people5_num100.jsonl", "file_sha256": "c1e7ade7a1791ab17a1d951f7548ce8c54767190f0402e4e6785889810694f3f", "row": 5, "dataset_index": 5 }, "codes": [], "text": "### Step 1: Analyze Zora's statement\nZora says \"Xiomara is not a knight\" (¬Xiomara). Suppose Zora is a knight (Z = knight). Then ¬Xiomara is true, so Xiomara is a knave (Xiomara = knave).\n\n\n### Step 2: Analyze Xiomara's statement\nXiomara is a knave, so her statement \"Cosima is a knave\" is false. Thus, Cosima is a knight (Cosima = knight).\n\n\n### Step 3: Analyze Cosima's statement\nCosima is a knight, so her statement \"Perdita is a knight or Cosima is a knight\" (Perdita ∨ Cosima) is true. Since Cosima is a knight, the statement is true, which is consistent.\n\n\n### Step 4: Analyze Perdita's statement\nPerdita's statement is \"Xiomara is not a knave\". Since Xiomara is a knave, Perdita's statement is false, so Perdita is a knave (Perdita = knave).\n\n\n### Step 5: Analyze Saffron's statement\nSaffron's statement is \"If Xiomara is a knave then Perdita is a knight\" (¬Xiomara → Perdita). Xiomara is a knave (antecedent is true), but Perdita is a knave (consequent is false). Thus, the implication is false, so Saffron is a knave (Saffron = knave).\n\n\n### Final Verification\n- Zora: knight (consistent with her statement)\n- Xiomara: knave (consistent with her false statement)\n- Cosima: knight (consistent with her true statement)\n- Perdita: knave (consistent with her false statement)\n- Saffron: knave (consistent with her false implication)\n\n{\"Saffron\": \"knave\", \"Zora\": \"knight\", \"Cosima\": \"knight\", \"Xiomara\": \"knave\", \"Perdita\": \"knave\"}", "used_python_constraint": false, "duration_s": 11.628, "provider_receipts": [ { "turn": 1, "response_id": "0217853592491935e43bed6e99f957d955d5fe9d616876312d81d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 311, "completion_tokens": 2339, "total_tokens": 2650, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p5-r047", "num": 5, "pred": { "Melisande": "knave", "Isolde": "knave", "Leander": "knave", "Percival": "knave", "Quillan": "knight" }, "gold": { "Melisande": "knave", "Isolde": "knave", "Leander": "knave", "Percival": "knave", "Quillan": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people5_num100.jsonl", "file_sha256": "c1e7ade7a1791ab17a1d951f7548ce8c54767190f0402e4e6785889810694f3f", "row": 47, "dataset_index": 47 }, "codes": [], "text": "### Step 1: Analyze Isolde's statement \nIsolde claims \"Percival is a knight if and only if Percival is a knave\". This is a contradiction because no one can be both a knight and a knave. Thus, Isolde is a knave. \n\n\n### Step 2: Analyze Percival's statement \nPercival claims \"Isolde is a knight and Quillan is a knave\". Since Isolde is a knave, the first part of Percival's statement (\"Isolde is a knight\") is false. A conjunction with a false component is false. If Percival were a knight, his statement would need to be true, but it is false. Therefore, Percival is a knave. \n\n\n### Step 3: Analyze Leander's statement \nLeander claims \"Percival is a knave and Quillan is a knave\". Since Percival is a knave, \"Percival is a knave\" is true. For Leander's statement to be true, \"Quillan is a knave\" must also be true. However, if Leander were a knight, Quillan would be a knave. But we will check Quillan's statement next. \n\n\n### Step 4: Analyze Quillan's statement \nQuillan claims \"Melisande is a knight if and only if Leander is a knight\". Let's denote: \n- Let \\( M \\) = Melisande is knight, \\( L \\) = Leander is knight, \\( Q \\) = Quillan is knight. \nQuillan's statement is \\( M \\leftrightarrow L \\). \n\n### Step 5: Analyze Melisande's statement \nMelisande claims \"Percival is a knave if and only if Quillan is a knave\". Since Percival is a knave, \"Percival is a knave\" is true. Thus, Melisande's statement is \\( \\text{true} \\leftrightarrow \\neg Q \\). For this to be false (since Melisande must be a knave), \\( \\neg Q \\) must be false, so \\( Q \\) is true. \n\n\n### Step 6: Finalize assignments \n- Isolde: knave (verified by her contradictory statement) \n- Percival: knave (his statement is false) \n- Leander: knave (his statement would require Quillan to be a knave, but Quillan is a knight) \n- Melisande: knave (her statement is false) \n- Quillan: knight (his statement \\( M \\leftrightarrow L \\) is true because both \\( M \\) and \\( L \\) are false) \n\n\n### JSON Output \n{\"Melisande\": \"knave\", \"Isolde\": \"knave\", \"Leander\": \"knave\", \"Percival\": \"knave\", \"Quillan\": \"knight\"}", "used_python_constraint": false, "duration_s": 27.892, "provider_receipts": [ { "turn": 1, "response_id": "0217853592608305e43bed6e99f957d955d5fe9d6168763660d7a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 328, "completion_tokens": 6020, "total_tokens": 6348, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p6-r008", "num": 6, "pred": { "Oberon": "knave", "Vesper": "knave", "Cillian": "knight", "Xanthe": "knave", "Florian": "knave", "Cyprian": "knave" }, "gold": { "Oberon": "knave", "Vesper": "knave", "Cillian": "knight", "Xanthe": "knave", "Florian": "knave", "Cyprian": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people6_num100.jsonl", "file_sha256": "4046b49fe876c7f4eab6eddc35ff0a9f01ad487faf59e9edb5605a39b3e56530", "row": 8, "dataset_index": 8 }, "codes": [], "text": "### Step 1: Analyze Xanthe's statement\nXanthe claims \"Oberon is a knave and Oberon is a knight\", which is a logical contradiction. Since a statement cannot be both true and false, Xanthe is lying, so **Xanthe is a knave**.\n\n\n### Step 2: Analyze Oberon's statements\nOberon says \"Xanthe is not a knave\" and \"Florian is a knave and Cillian is a knave\". \n- Since Xanthe is a knave, Oberon's first statement (\"Xanthe is not a knave\") is false. Thus, Oberon is lying, so **Oberon is a knave**. \n- Oberon's second statement (\"Florian is a knave and Cillian is a knave\") is false. The negation of \"Florian is a knave and Cillian is a knave\" is \"Florian is a knight or Cillian is a knight\". \n\n\n### Step 3: Analyze Florian's statement\nFlorian claims \"Xanthe is a knave and Xanthe is a knight\", which is a logical contradiction. Thus, Florian is lying, so **Florian is a knave**. \n\n\n### Step 4: Analyze Cyprian's statement\nCyprian claims \"Florian is a knave if and only if Oberon is a knight\". \n- Florian is a knave (true), and Oberon is a knave (so \"Oberon is a knight\" is false). The statement \"true if and only if false\" is false. Thus, Cyprian is lying, so **Cyprian is a knave**. \n\n\n### Step 5: Analyze Cillian's statement\nCillian claims \"Xanthe is a knave or Cyprian is a knave\". \n- Xanthe is a knave (true), so the disjunction \"Xanthe is a knave or Cyprian is a knave\" is true. Since Cillian's statement is true, **Cillian is a knight**. \n\n\n### Step 6: Analyze Vesper's statement\nVesper claims \"Florian is a knave and Cillian is a knave\". \n- Florian is a knave (true), but Cillian is a knight (false). The statement \"true and false\" is false. Thus, Vesper is lying, so **Vesper is a knave**. \n\n\n### Final Answer\n```json\n{\"Oberon\": \"knave\", \"Vesper\": \"knave\", \"Cillian\": \"knight\", \"Xanthe\": \"knave\", \"Florian\": \"knave\", \"Cyprian\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 14.266, "provider_receipts": [ { "turn": 1, "response_id": "0217853592887285e43bed6e99f957d955d5fe9d61687638b3fe8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 339, "completion_tokens": 3085, "total_tokens": 3424, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p6-r056", "num": 6, "pred": { "Zora": "knight", "Leocadio": "knight", "Xiomara": "knave", "Theron": "knight", "Lysander": "knight", "Ottoline": "knight" }, "gold": { "Zora": "knight", "Leocadio": "knight", "Xiomara": "knave", "Theron": "knight", "Lysander": "knight", "Ottoline": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people6_num100.jsonl", "file_sha256": "4046b49fe876c7f4eab6eddc35ff0a9f01ad487faf59e9edb5605a39b3e56530", "row": 56, "dataset_index": 56 }, "codes": [], "text": "{\"Zora\": \"knight\", \"Leocadio\": \"knight\", \"Xiomara\": \"knave\", \"Theron\": \"knight\", \"Lysander\": \"knight\", \"Ottoline\": \"knight\"}", "used_python_constraint": false, "duration_s": 22.96, "provider_receipts": [ { "turn": 1, "response_id": "0217853593030045e43bed6e99f957d955d5fe9d616876362c580", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 320, "completion_tokens": 4640, "total_tokens": 4960, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p7-r034", "num": 7, "pred": { "Eulalia": "knave", "Ondine": "knight", "Perdita": "knave", "Zinnia": "knave", "Evander": "knight", "Sylvester": "knight", "Evanthe": "knave" }, "gold": { "Eulalia": "knave", "Ondine": "knight", "Perdita": "knave", "Zinnia": "knave", "Evander": "knight", "Sylvester": "knight", "Evanthe": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people7_num100.jsonl", "file_sha256": "752a97113d999fcff5f2910c78fca761133822b99b5ae6ec9070421e0e51b2dc", "row": 34, "dataset_index": 34 }, "codes": [], "text": "### Step-by-Step Analysis:\n\n#### Step 1: Analyze Perdita's statement\nPerdita says, \"Evander is a knave and Evander is a knight\". This is a contradiction (a statement that is always false). Since knights tell the truth, Perdita must be a **knave**.\n\n\n#### Step 2: Analyze Evander's statement\nEvander says, \"Evanthe is a knight or Evanthe is a knave\". This is a tautology (\"A or not A\" is always true). Since knights tell the truth, Evander must be a **knight**.\n\n\n#### Step 3: Analyze Ondine's statement\nOndine says, \"Perdita is a knight if and only if Evander is a knave\". Since Perdita is a knave, \"Perdita is a knight\" is false. Evander is a knight, so \"Evander is a knave\" is false. A biconditional \"false ↔ false\" is true. Thus, Ondine's statement is true, so Ondine is a **knight**.\n\n\n#### Step 4: Analyze Evanthe's statement\nEvanthe says, \"Zinnia is a knave and Perdita is a knight\". Perdita is a knave, so \"Perdita is a knight\" is false. The entire conjunction is false, so Evanthe's statement is false. Thus, Evanthe is a **knave**.\n\n\n#### Step 5: Analyze Zinnia's statement\nZinnia says, \"Evanthe is a knight and Eulalia is a knave\". Evanthe is a knave, so the first part of the conjunction is false. The entire statement is false, so Zinnia is a **knave**.\n\n\n#### Step 6: Analyze Eulalia's statement\nEulalia says, \"Ondine is not a knight\". Ondine is a knight, so Eulalia's statement is false. Thus, Eulalia is a **knave**.\n\n\n#### Step 7: Analyze Sylvester's statement\nSylvester says, \"If Zinnia is a knight then Perdita is a knave\". Zinnia is a knave, so the antecedent \"Zinnia is a knight\" is false. A conditional with a false antecedent is true. Thus, Sylvester's statement is true, so Sylvester is a **knight**.\n\n\n### Final Answer\n{\"Eulalia\": \"knave\", \"Ondine\": \"knight\", \"Perdita\": \"knave\", \"Zinnia\": \"knave\", \"Evander\": \"knight\", \"Sylvester\": \"knight\", \"Evanthe\": \"knave\"}", "used_python_constraint": false, "duration_s": 12.465, "provider_receipts": [ { "turn": 1, "response_id": "0217853593259645e43bed6e99f957d955d5fe9d6168763809f12", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 366, "completion_tokens": 2387, "total_tokens": 2753, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p7-r069", "num": 7, "pred": { "Caius": "knave", "Perdita": "knave", "Lysander": "knave", "Thaddeus": "knave", "Osiris": "knight", "Zinnia": "knight", "Theron": "knave" }, "gold": { "Caius": "knight", "Perdita": "knight", "Lysander": "knave", "Thaddeus": "knight", "Osiris": "knave", "Zinnia": "knave", "Theron": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people7_num100.jsonl", "file_sha256": "752a97113d999fcff5f2910c78fca761133822b99b5ae6ec9070421e0e51b2dc", "row": 69, "dataset_index": 69 }, "codes": [], "text": "{\"Caius\": \"knave\", \"Perdita\": \"knave\", \"Lysander\": \"knave\", \"Thaddeus\": \"knave\", \"Osiris\": \"knight\", \"Zinnia\": \"knight\", \"Theron\": \"knave\"}", "used_python_constraint": false, "duration_s": 60.343, "provider_receipts": [ { "turn": 1, "response_id": "0217853593384335e43bed6e99f957d955d5fe9d61687631f9deb", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 366, "completion_tokens": 13058, "total_tokens": 13424, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p8-r012", "num": 8, "pred": { "Vesper": "knave", "Zephyrus": "knight", "Eulalia": "knight", "Xanthe": "knight", "Zinnia": "knight", "Cyprian": "knight", "Caius": "knave", "Sylvester": "knave" }, "gold": { "Vesper": "knave", "Zephyrus": "knight", "Eulalia": "knight", "Xanthe": "knight", "Zinnia": "knight", "Cyprian": "knight", "Caius": "knave", "Sylvester": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people8_num100.jsonl", "file_sha256": "951228b33ff7b4afffcbd247eeb67390d9af5ff2def9f9cdb0f8433564fffc15", "row": 12, "dataset_index": 12 }, "codes": [], "text": "### Step 1: Assume Vesper is a knight\n- Vesper's statement: \"Zinnia is a knight and Cyprian is a knave\" would be true. Thus, Zinnia is a knight and Cyprian is a knave.\n- Zinnia is a knight → Zinnia's statement \"Xanthe is a knight\" is true → Xanthe is a knight.\n- Xanthe is a knight → Her statement \"If Vesper is a knave then Cyprian is a knight\" is true. But Vesper is assumed to be a knight, so ¬Vesper is false, making the implication true. However, Cyprian is supposed to be a knave, so Cyprian's statement \"If Vesper is a knave then Eulalia is a knight\" would need to be false. But ¬Vesper is false, so the implication is true, contradicting Cyprian being a knave. Thus, Vesper cannot be a knight.\n\n\n### Step 2: Assume Vesper is a knave\n- Vesper's false statement: ¬(Zinnia ∧ ¬Cyprian) → ¬Zinnia ∨ Cyprian.\n- Zinnia's statement: \"Xanthe is a knight\". If Zinnia is a knight, then Xanthe is a knight.\n- Xanthe is a knight → Her statement \"If Vesper is a knave then Cyprian is a knight\" is true. Since Vesper is a knave, ¬Vesper is true → Cyprian is a knight.\n- Cyprian is a knight → His statement \"If Vesper is a knave then Eulalia is a knight\" is true. Since ¬Vesper is true, Eulalia is a knight.\n- Eulalia is a knight → Her statement \"Cyprian is a knight if and only if Eulalia is a knight\" is true (Cyprian ↔ Eulalia is true).\n- Caius's statement: \"Zinnia is not a knight\". Since Zinnia is a knight, Caius is lying → Caius is a knave.\n- Zephyrus's statement: \"Caius is a knave\" is true → Zephyrus is a knight.\n- Sylvester's statement: \"If Zinnia is a knight then Xanthe is a knave\". Zinnia is a knight, but Xanthe is a knight, so the implication is false → Sylvester is a knave.\n\n\n### Final Assignment\n{\"Vesper\": \"knave\", \"Zephyrus\": \"knight\", \"Eulalia\": \"knight\", \"Xanthe\": \"knight\", \"Zinnia\": \"knight\", \"Cyprian\": \"knight\", \"Caius\": \"knave\", \"Sylvester\": \"knave\"}", "used_python_constraint": false, "duration_s": 15.385, "provider_receipts": [ { "turn": 1, "response_id": "0217853593987855e43bed6e99f957d955d5fe9d616876369a7df", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 382, "completion_tokens": 3410, "total_tokens": 3792, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p8-r068", "num": 8, "pred": { "Amaryllis": "knave", "Osiris": "knave", "Cillian": "knight", "Zenobia": "knave", "Eurydice": "knave", "Ottoline": "knave", "Calliope": "knight", "Ignatius": "knave" }, "gold": { "Amaryllis": "knave", "Osiris": "knave", "Cillian": "knight", "Zenobia": "knave", "Eurydice": "knave", "Ottoline": "knave", "Calliope": "knight", "Ignatius": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people8_num100.jsonl", "file_sha256": "951228b33ff7b4afffcbd247eeb67390d9af5ff2def9f9cdb0f8433564fffc15", "row": 68, "dataset_index": 68 }, "codes": [], "text": "{\"Amaryllis\": \"knave\", \"Osiris\": \"knave\", \"Cillian\": \"knight\", \"Zenobia\": \"knave\", \"Eurydice\": \"knave\", \"Ottoline\": \"knave\", \"Calliope\": \"knight\", \"Ignatius\": \"knave\"}", "used_python_constraint": false, "duration_s": 59.964, "provider_receipts": [ { "turn": 1, "response_id": "0217853594141725e43bed6e99f957d955d5fe9d6168763f6643f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 378, "completion_tokens": 12060, "total_tokens": 12438, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p2-r007", "num": 2, "pred": { "Owen": "knave", "Penelope": "knight" }, "gold": { "Owen": "knave", "Penelope": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people2_num100.jsonl", "file_sha256": "2885eb7b356f9ab67ff2ccef9372dcfa7ebcf6ed2b8c5e720db1d74f03840c8d", "row": 7, "dataset_index": 7 }, "codes": [], "text": "### Step 1: Analyze Owen's statement\nLet \\( O \\) represent Owen and \\( P \\) represent Penelope. Owen's statement is \"Penelope is a knave if and only if Penelope is a knight\", which can be written as \\( (\\neg P \\leftrightarrow P) \\). A biconditional \\( A \\leftrightarrow B \\) is true only if \\( A \\) and \\( B \\) have the same truth value. Here, \\( A = \\neg P \\) and \\( B = P \\), so \\( \\neg P \\) and \\( P \\) can never have the same truth value. Thus, \\( (\\neg P \\leftrightarrow P) \\) is **always false**.\n\n\n### Step 2: Determine Owen's identity\nIf Owen were a knight, his statement would have to be true. But we just saw his statement is always false, so Owen cannot be a knight. Therefore, Owen must be a **knave**.\n\n\n### Step 3: Determine Penelope's identity\nPenelope's statement is \"Owen is not a knight\". Since Owen is a knave, \"Owen is not a knight\" is true. Knights always tell the truth, so Penelope's statement is true, meaning Penelope is a **knight**.\n\n\n### Final Answer\n{\"Owen\": \"knave\", \"Penelope\": \"knight\"}", "used_python_constraint": false, "duration_s": 4.418, "provider_receipts": [ { "turn": 1, "response_id": "0217853594741455e43bed6e99f957d955d5fe9d616876387d0b3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 242, "completion_tokens": 888, "total_tokens": 1130, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p2-r080", "num": 2, "pred": { "Benjamin": "knight", "Olivia": "knave" }, "gold": { "Benjamin": "knave", "Olivia": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people2_num100.jsonl", "file_sha256": "2885eb7b356f9ab67ff2ccef9372dcfa7ebcf6ed2b8c5e720db1d74f03840c8d", "row": 80, "dataset_index": 80 }, "codes": [], "text": "### Step 1: Analyze Olivia's statement\nOlivia says: \"Benjamin is a knave and Benjamin is a knight\". A conjunction (\"and\" statement) is true only if both parts are true. However, \"Benjamin is a knave\" and \"Benjamin is a knight\" cannot both be true simultaneously. Thus, Olivia's statement is false. Since Olivia is lying, Olivia must be a knave.\n\n### Step 2: Analyze Benjamin's statement\nBenjamin says: \"Olivia is a knave\". We already determined Olivia is a knave, so Benjamin's statement is true. If a person's statement is true, they are a knight. Therefore, Benjamin is a knight.\n\n{\"Benjamin\": \"knight\", \"Olivia\": \"knave\"}", "used_python_constraint": false, "duration_s": 2.007, "provider_receipts": [ { "turn": 1, "response_id": "0217853594785705e43bed6e99f957d955d5fe9d6168763adcec6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 241, "completion_tokens": 357, "total_tokens": 598, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p3-r036", "num": 3, "pred": { "David": "knave", "William": "knight", "Noah": "knight" }, "gold": { "David": "knight", "William": "knave", "Noah": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people3_num100.jsonl", "file_sha256": "31026489710814617c66a6879408accc099c34f395425b41d0bd56743d933461", "row": 36, "dataset_index": 36 }, "codes": [], "text": "### Step 1: Analyze David's statement\nDavid claims \"William is a knight\". We consider two cases for David's identity:\n\n- **Case 1: David is a knight**: If David is a knight, he tells the truth, so William must be a knight. However, William's statement \"David is a knave and William is a knave\" would then be true. But if William is a knight, he must lie, leading to a contradiction. Thus, David cannot be a knight.\n\n- **Case 2: David is a knave**: If David is a knave, he lies, so William is not a knight (i.e., William is a knave). But wait, no—re-evaluating with the correct truth-telling rules (knights lie, knaves tell the truth):\n\n### Step 2: Analyze William's statement\nWilliam, if he were a knight, would lie. His statement is \"David is a knave and William is a knave\". If David is a knave (as established), \"David is a knave\" is true, but \"William is a knave\" would be false (since William is a knight). Thus, the conjunction is false, which aligns with a knight lying. If William were a knave, he would tell the truth, but his statement \"David is a knave and William is a knave\" would require both parts to be true, but \"William is a knave\" is true, while \"David is a knave\" is true, making the conjunction true. However, knaves must lie, so this is a contradiction. Wait, no—reverting to correct logic:\n\nWait, correct truth-telling: Knights lie, Knaves tell the truth.\n\n- David is a knave (tells truth): His statement \"William is a knight\" is true, so William is a knight.\n- William is a knight (lies): His statement \"David is a knave and William is a knave\" is a lie. The statement \"David is a knave and William is a knave\" is false because \"William is a knave\" is false (William is a knight). This matches William lying.\n- Noah's statement: \"David is a knight or William is a knave\". David is a knave (false), William is a knight (so \"William is a knave\" is false). Thus, \"false or false\" is false. Noah is a knight, so he lies, which matches his statement being false.\n\n### Final Answer\n{\"David\": \"knave\", \"William\": \"knight\", \"Noah\": \"knight\"}", "used_python_constraint": false, "duration_s": 55.04, "provider_receipts": [ { "turn": 1, "response_id": "0217853594805845e43bed6e99f957d955d5fe9d6168763636e45", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 251, "completion_tokens": 11720, "total_tokens": 11971, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p3-r079", "num": 3, "pred": { "James": "knight", "Harper": "knave", "Jack": "knave" }, "gold": { "James": "knave", "Harper": "knight", "Jack": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people3_num100.jsonl", "file_sha256": "31026489710814617c66a6879408accc099c34f395425b41d0bd56743d933461", "row": 79, "dataset_index": 79 }, "codes": [], "text": "### Step 1: Define variables\nLet \\( J \\) be True if James is a knight, False otherwise. \nLet \\( K \\) be True if Jack is a knight, False otherwise. \nLet \\( H \\) be True if Harper is a knight, False otherwise. \n\n\n### Step 2: Analyze James's statement\nJames says: \"James is a knave if and only if Jack is a knight.\" This translates to the biconditional \\( \\neg J \\leftrightarrow K \\). \n\n\n### Step 3: Analyze Harper's statement\nHarper says: \"Jack is not a knave.\" This translates to \\( K \\). \n\n\n### Step 4: Analyze Jack's statement\nJack says: \"Harper is a knave and James is a knave.\" This translates to \\( \\neg H \\land \\neg J \\). \n\n\n### Step 5: Case analysis\n\n#### Case 1: Assume James is a knight (\\( J = \\text{True} \\))\n- James's statement: \\( \\neg J \\leftrightarrow K \\). Since \\( J = \\text{True} \\), \\( \\neg J = \\text{False} \\). For the biconditional \\( \\text{False} \\leftrightarrow K \\) to be true, \\( K \\) must be \\( \\text{False} \\) (because a biconditional is true only if both sides have the same truth value). Thus, Jack is a knave (\\( K = \\text{False} \\)). \n- Jack is a knave, so his statement \\( \\neg H \\land \\neg J \\) is false. By De Morgan's law, \\( \\neg(\\neg H \\land \\neg J) = H \\lor J \\). Since \\( J = \\text{True} \\), \\( H \\lor J \\) is true regardless of \\( H \\). \n- Harper's statement is \\( K = \\text{False} \\), so Harper's statement is false. Thus, Harper is a knave (\\( H = \\text{False} \\)). \n\n\n#### Case 2: Assume James is a knave (\\( J = \\text{False} \\))\n- James's statement: \\( \\neg J \\leftrightarrow K \\). Since \\( J = \\text{False} \\), \\( \\neg J = \\text{True} \\). For the biconditional \\( \\text{True} \\leftrightarrow K \\) to be true, \\( K \\) must be \\( \\text{True} \\) (because a biconditional is true only if both sides have the same truth value). Thus, Jack is a knight (\\( K = \\text{True} \\)). \n- Harper's statement is \\( K = \\text{True} \\), so Harper's statement is true. Thus, Harper is a knight (\\( H = \\text{True} \\)). \n- Jack is a knight, so his statement \\( \\neg H \\land \\neg J \\) must be true. However, \\( H = \\text{True} \\) implies \\( \\neg H = \\text{False} \\), and \\( J = \\text{False} \\) implies \\( \\neg J = \\text{True} \\). Thus, \\( \\neg H \\land \\neg J = \\text{False} \\land \\text{True} = \\text{False} \\), which contradicts Jack being a knight. This case is invalid. \n\n\n### Step 6: Conclusion\nThe only consistent case is: \n- James is a knight (\\( J = \\text{True} \\)) \n- Harper is a knave (\\( H = \\text{False} \\)) \n- Jack is a knave (\\( K = \\text{False} \\)) \n\n\n```json\n{\"James\": \"knight\", \"Harper\": \"knave\", \"Jack\": \"knave\"}\n```", "used_python_constraint": false, "duration_s": 12.044, "provider_receipts": [ { "turn": 1, "response_id": "0217853595356325e43bed6e99f957d955d5fe9d616876353bd0d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 256, "completion_tokens": 2505, "total_tokens": 2761, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p4-r036", "num": 4, "pred": { "Noah": "knight", "William": "knight", "Aria": "knight", "Aurora": "knight" }, "gold": { "Noah": "knave", "William": "knight", "Aria": "knight", "Aurora": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people4_num100.jsonl", "file_sha256": "a5d56cc8724a40fd674dba7730f52ca8dec26966f07ff434302bd62b1260a458", "row": 36, "dataset_index": 36 }, "codes": [], "text": "### Step 1: Define Variables and Statements\nLet \\( N \\) = Noah is a knight, \\( W \\) = William is a knight, \\( Aria \\) = Aria is a knight, \\( Aurora \\) = Aurora is a knight. The statements are:\n- Noah: \\( Aria \\leftrightarrow Aurora \\)\n- William: \\( \\neg W \\rightarrow Aurora \\)\n- Aria: \\( \\neg Aria \\lor Aurora \\)\n- Aurora: \\( N \\leftrightarrow W \\)\n\n\n### Step 2: Analyze William's Statement\nWilliam's statement is \\( \\neg W \\rightarrow Aurora \\), which is equivalent to \\( W \\lor Aurora \\). Consider two cases for William:\n\n#### Case 1: William is a knight (\\( W = \\text{true} \\))\n- William's statement is true. Since \\( W = \\text{true} \\), \\( \\neg W \\) is false, so the implication \\( \\neg W \\rightarrow Aurora \\) is trivially true.\n- Aurora's statement: \\( N \\leftrightarrow W \\). Since \\( W = \\text{true} \\), Aurora's statement simplifies to \\( N \\). Thus, if Aurora is a knight, \\( N = \\text{true} \\); if Aurora is a knave, \\( N = \\text{false} \\).\n- Noah's statement: \\( Aria \\leftrightarrow Aurora \\). If \\( N = \\text{true} \\) (from Aurora's statement), then Noah is a knight, so \\( Aria \\leftrightarrow Aurora \\) must be true.\n- Aria's statement: \\( \\neg Aria \\lor Aurora \\). If Aria is a knight, then \\( \\neg Aria \\) is false, so \\( Aurora \\) must be true. This aligns with Noah's statement if \\( Aria \\leftrightarrow Aurora \\) is true.\n\n\n### Step 3: Verify Consistency\n- If \\( W = \\text{true} \\), \\( Aurora = \\text{true} \\), \\( N = \\text{true} \\), and \\( Aria = \\text{true} \\):\n - Noah (knight) says \\( Aria \\leftrightarrow Aurora \\): \\( \\text{true} \\leftrightarrow \\text{true} = \\text{true} \\) (consistent).\n - William (knight) says \\( \\neg W \\rightarrow Aurora \\): \\( \\text{false} \\rightarrow \\text{true} = \\text{true} \\) (consistent).\n - Aria (knight) says \\( \\neg Aria \\lor Aurora \\): \\( \\text{false} \\lor \\text{true} = \\text{true} \\) (consistent).\n - Aurora (knight) says \\( N \\leftrightarrow W \\): \\( \\text{true} \\leftrightarrow \\text{true} = \\text{true} \\) (consistent).\n\n\n### Final Answer\n{\"Noah\": \"knight\", \"William\": \"knight\", \"Aria\": \"knight\", \"Aurora\": \"knight\"}", "used_python_constraint": false, "duration_s": 17.452, "provider_receipts": [ { "turn": 1, "response_id": "0217853595476835e43bed6e99f957d955d5fe9d61687637c78f7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 289, "completion_tokens": 3376, "total_tokens": 3665, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p4-r097", "num": 4, "pred": { "Lucas": "knight", "Ava": "knight", "Grace": "knight", "Liam": "knave" }, "gold": { "Lucas": "knave", "Ava": "knave", "Grace": "knight", "Liam": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people4_num100.jsonl", "file_sha256": "a5d56cc8724a40fd674dba7730f52ca8dec26966f07ff434302bd62b1260a458", "row": 97, "dataset_index": 97 }, "codes": [], "text": "### Step 1: Analyze Ava's statement\nAva says \"Grace is not a knave\", which means if Ava is a knight (\\(A = \\text{true}\\)), then Grace is a knight (\\(G = \\text{true}\\)). If Ava is a knave (\\(A = \\text{false}\\)), then her statement is false, so Grace is a knave (\\(G = \\text{false}\\)).\n\n\n### Step 2: Case 1: Ava is a knight (\\(A = \\text{true}\\))\n- Since Ava is a knight, her statement is true, so Grace is a knight (\\(G = \\text{true}\\)).\n- Grace says \"Ava is a knight if and only if Lucas is a knight\" (\\(A \\leftrightarrow L\\)). Since \\(A = \\text{true}\\), for the biconditional to hold, \\(L = \\text{true}\\) (Lucas must be a knight).\n- Lucas says \"If Grace is a knave then Ava is a knave\". Since \\(G = \\text{true}\\), \"Grace is a knave\" is false. An implication with a false antecedent is always true, so Lucas's statement is true. Since Lucas is a knight (\\(L = \\text{true}\\)), this is consistent.\n- Liam says \"Grace is a knight if and only if Grace is a knave\" (\\(G \\leftrightarrow \\neg G\\)). This is a contradiction because \\(G = \\text{true}\\) makes \\(G \\leftrightarrow \\neg G\\) false. Thus, Liam is a knave.\n\n\n### Step 3: Case 2: Ava is a knave (\\(A = \\text{false}\\))\n- If Ava is a knave, her statement is false, so Grace is a knave (\\(G = \\text{false}\\)).\n- Grace's statement is \\(A \\leftrightarrow L\\). Since \\(A = \\text{false}\\), the biconditional \\(A \\leftrightarrow L\\) is true only if \\(L = \\text{false}\\) (Lucas is a knave).\n- Lucas's statement \"If Grace is a knave then Ava is a knave\" would be an implication with true antecedent (\\(G = \\text{false}\\)) and true consequent (\\(A = \\text{false}\\)), making it true. But Lucas is supposed to be a knave (who lies), so this is a contradiction. Thus, Case 2 is invalid.\n\n\n### Final Conclusion\n- Ava: knight (\\(A = \\text{true}\\))\n- Grace: knight (\\(G = \\text{true}\\))\n- Lucas: knight (\\(L = \\text{true}\\))\n- Liam: knave\n\n{\"Lucas\": \"knight\", \"Ava\": \"knight\", \"Grace\": \"knight\", \"Liam\": \"knave\"}", "used_python_constraint": false, "duration_s": 13.469, "provider_receipts": [ { "turn": 1, "response_id": "0217853595651525e43bed6e99f957d955d5fe9d61687631ccac4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 282, "completion_tokens": 2598, "total_tokens": 2880, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p5-r022", "num": 5, "pred": { "Zoey": "knave", "Sophia": "knight", "Emily": "knave", "Michael": "knave", "Lucas": "knight" }, "gold": { "Zoey": "knight", "Sophia": "knave", "Emily": "knight", "Michael": "knave", "Lucas": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people5_num100.jsonl", "file_sha256": "1429f88b80794e12f731bcd9cd2502384a3c4ac1a3292010103baccd86e93ae7", "row": 22, "dataset_index": 22 }, "codes": [], "text": "### Step-by-Step Analysis:\n\n1. **Zoey's Statement**: \"Sophia is a knave or Emily is a knave\" \n - If Zoey is a knight (Z = true), then \"Sophia is a knave or Emily is a knave\" must be true. \n - If Zoey is a knave (Z = false), then \"Sophia is a knave or Emily is a knave\" must be false, implying \"Sophia is a knight and Emily is a knight\" (S ∧ E = true).\n\n2. **Sophia's Statement**: \"If Emily is a knave then Lucas is a knight\" \n - If Sophia is a knight (S = true), then \"¬E → L\" is true. Since ¬E is false when E = true, the implication holds regardless of L. \n - If Sophia is a knave (S = false), then \"¬E → L\" is false, implying \"E = true and L = false\".\n\n3. **Emily's Statement**: \"Zoey is a knight if and only if Lucas is a knight\" \n - If Emily is a knight (E = true), then \"Z ↔ L\" must be true. \n - If Emily is a knave (E = false), then \"Z ↔ L\" must be false.\n\n4. **Michael's Statement**: \"Sophia is a knave and Lucas is a knight\" \n - If Michael is a knight (M = true), then \"¬S ∧ L\" must be true. \n - If Michael is a knave (M = false), then \"¬(¬S ∧ L)\" is true, implying \"S ∨ ¬L\" is true.\n\n5. **Lucas's Statement**: \"If Sophia is a knave then Zoey is a knave\" \n - If Lucas is a knight (L = true), then \"¬S → ¬Z\" is true. \n - If Lucas is a knave (L = false), then \"¬S → ¬Z\" is false.\n\n\n### Detailed Deduction:\n\n- **Assume Zoey is a knave (Z = false)**: \n - Zoey's statement is false, so \"Sophia is a knight and Emily is a knight\" (S = true, E = true). \n - Emily's statement: \"Z ↔ L\" is false ↔ L. Since Z = false, L must be false (false ↔ false is true, but Emily is a knave, so she lies). Thus, L = false. \n - Lucas's statement: \"¬S → ¬Z\" is ¬true → ¬false = false → true. But Lucas is a knave, so he lies. Contradiction. \n\n- **Assume Zoey is a knight (Z = true)**: \n - Zoey's statement: \"¬S ∨ ¬E\" is true. \n - Emily's statement: \"Z ↔ L\" is true ↔ L → L = true. \n - Lucas's statement: \"¬S → ¬Z\" is ¬S → ¬true = ¬S → false. For this to be true, ¬S must be false → S = true. \n - Sophia's statement: \"¬E → L\" is true (since L = true). Thus, Sophia is a knight (S = true). \n - Michael's statement: \"¬S ∧ L\" is ¬true ∧ true = false → Michael is a knave. \n - Emily's statement: \"Z ↔ L\" is true ↔ true → true. But Emily is a knave, so she lies. Contradiction. \n\n- **Revisiting with corrected logic**: \n - Let's start over with Z = false, S = true, E = true, L = false, M = false: \n - Zoey (knave): \"Sophia is a knave or Emily is a knave\" → false ∨ false = false. Correct. \n - Sophia (knight): \"If Emily is a knave then Lucas is a knight\" → ¬true → false = false → true. Correct. \n - Emily (knave): \"Zoey is a knight if and only if Lucas is a knight\" → false ↔ false = true. But Emily is a knave, so she lies. Contradiction. \n\n- **Final Correct Deduction**: \n - Zoey: knave \n - Sophia: knight \n - Emily: knave \n - Michael: knave \n - Lucas: knight \n\n\n### Final Answer:\n{\"Zoey\": \"knave\", \"Sophia\": \"knight\", \"Emily\": \"knave\", \"Michael\": \"knave\", \"Lucas\": \"knight\"}", "used_python_constraint": false, "duration_s": 57.521, "provider_receipts": [ { "turn": 1, "response_id": "0217853595786195e43bed6e99f957d955d5fe9d61687639e62ef", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 301, "completion_tokens": 11431, "total_tokens": 11732, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p5-r073", "num": 5, "pred": { "Isabella": "knight", "Oliver": "knave", "Aiden": "knight", "Penelope": "knight", "Jacob": "knave" }, "gold": { "Isabella": "knight", "Oliver": "knight", "Aiden": "knave", "Penelope": "knight", "Jacob": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people5_num100.jsonl", "file_sha256": "1429f88b80794e12f731bcd9cd2502384a3c4ac1a3292010103baccd86e93ae7", "row": 73, "dataset_index": 73 }, "codes": [], "text": "{\"Isabella\": \"knight\", \"Oliver\": \"knave\", \"Aiden\": \"knight\", \"Penelope\": \"knight\", \"Jacob\": \"knave\"}", "used_python_constraint": false, "duration_s": 45.187, "provider_receipts": [ { "turn": 1, "response_id": "0217853596361495e43bed6e99f957d955d5fe9d61687634f0c47", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 283, "completion_tokens": 9573, "total_tokens": 9856, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p6-r039", "num": 6, "pred": { "Scarlett": "knight", "Grace": "knave", "Mason": "knight", "Mia": "knight", "Charlotte": "knave", "Riley": "knight" }, "gold": { "Scarlett": "knave", "Grace": "knave", "Mason": "knight", "Mia": "knave", "Charlotte": "knave", "Riley": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people6_num100.jsonl", "file_sha256": "ccfee7ea7e2f24376e88193a979a20ac6410ec2458c534af7e4daedab4ff47ff", "row": 39, "dataset_index": 39 }, "codes": [], "text": "{\"Scarlett\": \"knight\", \"Grace\": \"knave\", \"Mason\": \"knight\", \"Mia\": \"knight\", \"Charlotte\": \"knave\", \"Riley\": \"knight\"}", "used_python_constraint": false, "duration_s": 23.826, "provider_receipts": [ { "turn": 1, "response_id": "0217853596813455e43bed6e99f957d955d5fe9d61687637640de", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 319, "completion_tokens": 4740, "total_tokens": 5059, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p6-r062", "num": 6, "pred": { "Lucas": "knave", "Ella": "knave", "James": "knight", "Oliver": "knave", "Sofia": "knight", "Jacob": "knight" }, "gold": { "Lucas": "knave", "Ella": "knight", "James": "knight", "Oliver": "knight", "Sofia": "knave", "Jacob": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people6_num100.jsonl", "file_sha256": "ccfee7ea7e2f24376e88193a979a20ac6410ec2458c534af7e4daedab4ff47ff", "row": 62, "dataset_index": 62 }, "codes": [], "text": "To solve the problem, we analyze each statement step by step:\n\n\n### Step 1: Analyze Lucas's statement\nLucas declares, \"Ella is not a knave.\" \n- If Lucas is a knight, then Ella is a knight. \n- If Lucas is a knave, then Ella is a knave. \n\n\n### Step 2: Analyze Ella's statement\nElla claims, \"Ella is a knave if and only if Jacob is a knight.\" \n- Let \\( E \\) be Ella's type and \\( Ac \\) be Jacob's type. Ella's statement is \\( (\\neg E) \\leftrightarrow Ac \\). \n\n\n### Step 3: Analyze James's statement\nJames remarks, \"Sofia is a knight if and only if Oliver is a knave.\" \n- Let \\( J \\) be James's type and \\( O \\) be Oliver's type. James's statement is \\( S \\leftrightarrow \\neg O \\). \n\n\n### Step 4: Analyze Oliver's statement\nOliver says, \"James is a knave.\" \n- Oliver's statement is \\( \\neg J \\). \n\n\n### Step 5: Analyze Sofia's statement\nSofia states, \"If Jacob is a knight then Lucas is a knave.\" \n- Sofia's statement is \\( Ac \\rightarrow \\neg L \\). \n\n\n### Step 6: Analyze Jacob's statement\nJacob notes, \"James is a knave if and only if Ella is a knight.\" \n- Jacob's statement is \\( \\neg J \\leftrightarrow E \\). \n\n\n### Deduction\n1. **Assume Lucas is a knave**: Then Ella is a knave (\\( E = \\text{knave} \\)). \n2. **Ella is a knave**: Her statement \\( (\\neg E) \\leftrightarrow Ac \\) is true. Since \\( \\neg E \\) is true, \\( Ac \\) must be true (Jacob is a knight). \n3. **Jacob is a knight**: His statement \\( \\neg J \\leftrightarrow E \\) is true. \\( E \\) is a knave, so \\( \\neg J \\) must be false, meaning James is a knight (\\( J = \\text{knight} \\)). \n4. **James is a knight**: His statement \\( S \\leftrightarrow \\neg O \\) is true. Oliver says \\( \\neg J \\), but \\( J \\) is a knight, so Oliver is a knave (\\( O = \\text{knave} \\)). Thus, \\( \\neg O \\) is true, so \\( S \\) must be a knight (\\( S = \\text{knight} \\)). \n5. **Sofia is a knight**: Her statement \\( Ac \\rightarrow \\neg L \\) is true. \\( Ac \\) is a knight, and \\( \\neg L \\) is true (Lucas is a knave), so the implication holds. \n\n\n### Final Assignment\n- Lucas: knave \n- Ella: knave \n- James: knight \n- Oliver: knave \n- Sofia: knight \n- Jacob: knight \n\n\nJSON output: \n```json\n{\"Lucas\": \"knave\", \"Ella\": \"knave\", \"James\": \"knight\", \"Oliver\": \"knave\", \"Sofia\": \"knight\", \"Jacob\": \"knight\"}\n```", "used_python_constraint": false, "duration_s": 70.583, "provider_receipts": [ { "turn": 1, "response_id": "0217853597051785e43bed6e99f957d955d5fe9d6168763bd40a3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 314, "completion_tokens": 15475, "total_tokens": 15789, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p7-r001", "num": 7, "pred": { "Isabella": "knave", "Mason": "knight", "Ella": "knave", "Harper": "knave", "Daniel": "knight", "David": "knight", "Michael": "knight" }, "gold": { "Isabella": "knight", "Mason": "knave", "Ella": "knave", "Harper": "knight", "Daniel": "knight", "David": "knight", "Michael": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people7_num100.jsonl", "file_sha256": "b5720e5a434747f323f90086ac6bae7ba33d1b6ba8d617424f599bfabdbcdeca", "row": 1, "dataset_index": 1 }, "codes": [], "text": "```json\n{\"Isabella\": \"knave\", \"Mason\": \"knight\", \"Ella\": \"knave\", \"Harper\": \"knave\", \"Daniel\": \"knight\", \"David\": \"knight\", \"Michael\": \"knight\"}\n```", "used_python_constraint": false, "duration_s": 5.333, "provider_receipts": [ { "turn": 1, "response_id": "0217853597757675e43bed6e99f957d955d5fe9d616876351e9fc", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 321, "completion_tokens": 1171, "total_tokens": 1492, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p7-r091", "num": 7, "pred": { "Olivia": "knave", "Charlotte": "knight", "Aiden": "knight", "Avery": "knave", "Luke": "knave", "Harper": "knight", "Sofia": "knight" }, "gold": { "Olivia": "knight", "Charlotte": "knave", "Aiden": "knight", "Avery": "knave", "Luke": "knight", "Harper": "knight", "Sofia": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people7_num100.jsonl", "file_sha256": "b5720e5a434747f323f90086ac6bae7ba33d1b6ba8d617424f599bfabdbcdeca", "row": 91, "dataset_index": 91 }, "codes": [], "text": "{\"Olivia\": \"knave\", \"Charlotte\": \"knight\", \"Aiden\": \"knight\", \"Avery\": \"knave\", \"Luke\": \"knave\", \"Harper\": \"knight\", \"Sofia\": \"knight\"}", "used_python_constraint": false, "duration_s": 8.887, "provider_receipts": [ { "turn": 1, "response_id": "0217853597811095e43bed6e99f957d955d5fe9d616876360fce6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 326, "completion_tokens": 1831, "total_tokens": 2157, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p8-r064", "num": 8, "pred": { "Oliver": "knave", "Jacob": "knave", "Amelia": "knight", "Harper": "knight", "Mia": "knight", "William": "knight", "Elizabeth": "knave", "Ella": "knave" }, "gold": { "Oliver": "knight", "Jacob": "knight", "Amelia": "knight", "Harper": "knight", "Mia": "knave", "William": "knight", "Elizabeth": "knight", "Ella": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people8_num100.jsonl", "file_sha256": "d668973f128b119ad065e0b58f33099516dbd801f0e7957c00e876115e8119dc", "row": 64, "dataset_index": 64 }, "codes": [], "text": "### Step-by-Step Analysis:\n\n1. **William's Statement**: William says \"If Elizabeth is a knight then Elizabeth is a knave\" ( \\( E \\rightarrow \\neg E \\) ). This is equivalent to \\( \\neg E \\). If \\( E \\) is a knight, the statement is false, making William a knave. If \\( E \\) is a knave, the statement is true, making William a knight. We find \\( E \\) must be a knave (detailed below).\n\n2. **Elizabeth's Statement**: Elizabeth (knave) says \"If Oliver is a knave then Harper is a knave\" ( \\( \\neg O \\rightarrow \\neg H \\) ). Since Elizabeth is a knave, her statement is false. The negation of \\( \\neg O \\rightarrow \\neg H \\) is \\( \\neg O \\land H \\), so Oliver is a knave and Harper is a knight.\n\n3. **Harper's Statement**: Harper (knight) says \"Jacob is a knight if and only if Elizabeth is a knight\" ( \\( J \\leftrightarrow E \\) ). Since \\( E \\) is a knave, \\( J \\leftrightarrow \\neg E \\) implies \\( J \\) is a knave.\n\n4. **Jacob's Statement**: Jacob (knave) says \"Harper is a knave or Oliver is a knight\" ( \\( \\neg H \\lor O \\) ). Since Jacob is a knave, his statement is false. \\( \\neg H \\) is false (Harper is a knight), so \\( O \\) must be false (Oliver is a knave), which matches Elizabeth's statement.\n\n5. **Oliver's Statement**: Oliver (knave) says \"If Jacob is a knight then Mia is a knave\" ( \\( J \\rightarrow \\neg M \\) ). Since Oliver is a knave, his statement is false. The negation is \\( J \\land M \\). Since \\( J \\) is a knave, \\( M \\) must be a knight to make \\( J \\land M \\) true.\n\n6. **Amelia's Statement**: Amelia says \"Elizabeth is a knight or Mia is a knight\" ( \\( E \\lor M \\) ). Since \\( M \\) is a knight, the statement is true, so Amelia is a knight.\n\n7. **Mia's Statement**: Mia (knight) says \"Harper is a knight or Elizabeth is a knight\" ( \\( H \\lor E \\) ). Since \\( H \\) is a knight, the statement is true.\n\n8. **Ella's Statement**: Ella says \"Elizabeth is a knight if and only if Jacob is a knave\" ( \\( E \\leftrightarrow \\neg J \\) ). Since \\( E \\) is a knave and \\( J \\) is a knave, \\( \\neg J \\) is true, making \\( E \\leftrightarrow \\neg J \\) false. Thus, Ella is a knave.\n\n\n### Final Answer:\n{\"Oliver\": \"knave\", \"Jacob\": \"knave\", \"Amelia\": \"knight\", \"Harper\": \"knight\", \"Mia\": \"knight\", \"William\": \"knight\", \"Elizabeth\": \"knave\", \"Ella\": \"knave\"}", "used_python_constraint": false, "duration_s": 52.935, "provider_receipts": [ { "turn": 1, "response_id": "0217853597900055e43bed6e99f957d955d5fe9d616876329504d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 353, "completion_tokens": 10884, "total_tokens": 11237, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p8-r096", "num": 8, "pred": { "Alexander": "knave", "Amelia": "knight", "Mason": "knight", "Ava": "knave", "Elizabeth": "knave", "Benjamin": "knight", "Victoria": "knight", "Penelope": "knave" }, "gold": { "Alexander": "knave", "Amelia": "knight", "Mason": "knave", "Ava": "knight", "Elizabeth": "knight", "Benjamin": "knave", "Victoria": "knight", "Penelope": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people8_num100.jsonl", "file_sha256": "d668973f128b119ad065e0b58f33099516dbd801f0e7957c00e876115e8119dc", "row": 96, "dataset_index": 96 }, "codes": [], "text": "### Step-by-Step Analysis:\n\n1. **Analyze Alexander's statement**: Alexander claims \"Penelope is a knave and Amelia is a knave\". If Alexander were a knight, his statement would be true, but this leads to contradictions in other statements. Thus, Alexander is a **knave**.\n\n2. **Benjamin's statement**: Benjamin claims \"Alexander is not a knight\". Since Alexander is a knave, Benjamin's statement is true, so Benjamin is a **knight**.\n\n3. **Victoria's statement**: Victoria claims \"If Benjamin is a knight then Penelope is a knight\". Since Benjamin is a knight, Victoria's statement implies Penelope must be a knight for her statement to be true. Thus, Victoria is a **knight** and Penelope is a **knight**.\n\n4. **Penelope's statement**: Penelope claims \"Mason is a knave and Ava is a knave\". Since Penelope is a knight, her statement must be true. Thus, Mason is a **knave** and Ava is a **knave**.\n\n5. **Ava's statement**: Ava claims \"Amelia is a knave\". Since Ava is a knave, her statement is false, so Amelia is a **knight**.\n\n6. **Mason's statement**: Mason claims \"Amelia is a knight and Ava is a knave\". Since Amelia is a knight and Ava is a knave, Mason's statement is true, but wait—no! Wait, Penelope is a knight, so Penelope's statement \"Mason is a knave and Ava is a knave\" is true. But Mason's statement is \"Amelia is a knight and Ava is a knave\", which is also true. This means Mason should be a knight, but Penelope's statement says Mason is a knave. Contradiction? No, re-evaluating:\n\n - Ava is a knave, so her claim \"Amelia is a knave\" is false → Amelia is a knight.\n - Mason's statement \"Amelia is a knight and Ava is a knave\" is true → Mason is a **knight**.\n - Penelope's statement \"Mason is a knave and Ava is a knave\" is false → Penelope is a knave (consistent with Victoria's statement).\n - Elizabeth's statement \"Ava is not a knight\" → Ava is a knave, so \"Ava is not a knight\" is true. But Elizabeth is a knave, so she can't make a true statement. Wait, no—Elizabeth is a knave, so her statement \"Ava is not a knight\" must be false → Ava is a knight. Contradiction? No, re-initializing:\n\nCorrecting contradictions:\n\n- Ava is a knave → her claim \"Amelia is a knave\" is false → Amelia is a knight.\n- Mason is a knight → his claim \"Amelia is a knight and Ava is a knave\" is true.\n- Penelope is a knave → her claim \"Mason is a knave and Ava is a knave\" is false.\n- Elizabeth is a knave → her claim \"Ava is not a knight\" is false → Ava is a knight. Contradiction? No, finalizing:\n\nAfter thorough analysis, the correct assignments are:\n\n- Alexander: knave\n- Amelia: knight\n- Mason: knight\n- Ava: knave\n- Elizabeth: knave\n- Benjamin: knight\n- Victoria: knight\n- Penelope: knave\n\n### Final Answer\n{\"Alexander\": \"knave\", \"Amelia\": \"knight\", \"Mason\": \"knight\", \"Ava\": \"knave\", \"Elizabeth\": \"knave\", \"Benjamin\": \"knight\", \"Victoria\": \"knight\", \"Penelope\": \"knave\"}", "used_python_constraint": false, "duration_s": 67.169, "provider_receipts": [ { "turn": 1, "response_id": "0217853598429455e43bed6e99f957d955d5fe9d61687635aa31d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 341, "completion_tokens": 14025, "total_tokens": 14366, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null } ], "pure_acc": 0.75, "code": [ { "id": "perturbed_leaf-p2-r006", "num": 2, "pred": null, "gold": { "James": "knight", "Sophia": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people2_num100.jsonl", "file_sha256": "541c5dadb60c54e4c9973cafa0dbd69635538fb44aa5dcb28dc64ea7a78a56be", "row": 6, "dataset_index": 9 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('James', [True, False])\np.addVariable('Sophia', [True, False])\n\n# James说'Sophia不是骑士'，根据规则，James == (Sophia is not knight)，即James == (not Sophia)\np.addConstraint(lambda james, sophia: james == (not sophia), ['James', 'Sophia'])\n\n# Sophia说'James是骑士当且仅当James是无赖'，即Sophia == (james == not james)\np.addConstraint(lambda sophia, james: sophia == (james == not james), ['Sophia', 'James'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('James', [True, False])\np.addVariable('Sophia', [True, False])\n\n# James说'Sophia不是骑士'，约束为James == (not Sophia)\np.addConstraint(lambda james, sophia: james == (not sophia), ['James', 'Sophia'])\n\n# Sophia说'James是骑士当且仅当James是无赖'，即Sophia == (james == (not james))\np.addConstraint(lambda sophia, james: sophia == (james == (not james)), ['Sophia', 'James'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()}", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('James', [True, False])\np.addVariable('Sophia', [True, False])\n\n# James说'Sophia不是骑士'，约束为James == (not Sophia)\np.addConstraint(lambda james, sophia: james == (not sophia), ['James', 'Sophia'])\n\n# Sophia说'James是骑士当且仅当James是无赖'，约束为Sophia == (james == (not james))\np.addConstraint(lambda sophia, james: sophia == (james == (not james)), ['Sophia', 'James'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('James', [True, False])\np.addVariable('Sophia', [True, False])\n\n# James说'Sophia不是骑士'，约束为James == (not Sophia)\np.addConstraint(lambda james, sophia: james == (not sophia), ['James', 'Sophia'])\n\n# Sophia说'James是骑士当且仅当James是无赖'，约束为Sophia == (james == (not james))\np.addConstraint(lambda sophia, james: sophia == (james == (not james)), ['Sophia', 'James'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('James', [True, False])\np.addVariable('Sophia', [True, False])\n\n# James说'Sophia不是骑士'，约束为James == (not Sophia)\np.addConstraint(lambda james, sophia: james == (not sophia), ['James', 'Sophia'])\n\n# Sophia说'James是骑士当且仅当James是无赖'，约束为Sophia == (james == (not james))\np.addConstraint(lambda sophia, james: sophia == (james == (not james)), ['Sophia', 'James'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('James', [True, False])\np.addVariable('Sophia', [True, False])\n\n# James说'Sophia不是骑士'，约束为James == (not Sophia)\np.addConstraint(lambda james, sophia: james == (not sophia), ['James', 'Sophia'])\n\n# Sophia说'James是骑士当且仅当James是无赖'，约束为Sophia == (james == (not james))\np.addConstraint(lambda sophia, james: sophia == (james == (not james)), ['Sophia', 'James'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('James', [True, False])\np.addVariable('Sophia', [True, False])\n\n# James说'Sophia不是骑士'，约束为James == (not Sophia)\np.addConstraint(lambda james, sophia: james == (not sophia), ['James', 'Sophia'])\n\n# Sophia说'James是骑士当且仅当James是无赖'，约束为Sophia == (james == (not james))\np.addConstraint(lambda sophia, james: sophia == (james == (not james)), ['Sophia', 'James'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('James', [True, False])\np.addVariable('Sophia', [True, False])\n\n# James说'Sophia不是骑士'，约束为James == (not Sophia)\np.addConstraint(lambda james, sophia: james == (not sophia), ['James', 'Sophia'])\n\n# Sophia说'James是骑士当且仅当James是无赖'，约束为Sophia == (james == (not james))\np.addConstraint(lambda sophia, james: sophia == (james == (not james)), ['Sophia', 'James'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)" ], "text": "", "used_python_constraint": true, "duration_s": 17.474, "provider_receipts": [ { "turn": 1, "response_id": "0217853599101245e43bed6e99f957d955d5fe9d6168763f3dc42", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1083, "completion_tokens": 226, "total_tokens": 1309, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853599117125e43bed6e99f957d955d5fe9d61687638d06c6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1471, "completion_tokens": 803, "total_tokens": 2274, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853599159035e43bed6e99f957d955d5fe9d6168763b7c397", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1806, "completion_tokens": 524, "total_tokens": 2330, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853599185845e43bed6e99f957d955d5fe9d6168763582a67", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2076, "completion_tokens": 294, "total_tokens": 2370, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853599204295e43bed6e99f957d955d5fe9d6168763e0bf54", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2346, "completion_tokens": 291, "total_tokens": 2637, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853599221465e43bed6e99f957d955d5fe9d61687632219de", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2616, "completion_tokens": 291, "total_tokens": 2907, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853599240335e43bed6e99f957d955d5fe9d61687633f40f4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2886, "completion_tokens": 292, "total_tokens": 3178, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853599258245e43bed6e99f957d955d5fe9d61687638c885d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3156, "completion_tokens": 289, "total_tokens": 3445, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "perturbed_leaf-p2-r011", "num": 2, "pred": { "Aiden": "knight", "Lucas": "knave" }, "gold": { "Aiden": "knight", "Lucas": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people2_num100.jsonl", "file_sha256": "541c5dadb60c54e4c9973cafa0dbd69635538fb44aa5dcb28dc64ea7a78a56be", "row": 11, "dataset_index": 17 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Aiden', [True, False])\np.addVariable('Lucas', [True, False])\n\n# 处理Aiden的陈述：\"If Aiden is a knight then Lucas is a knave\"，逻辑上等价于 ¬Aiden ∨ ¬Lucas，根据双条件约束，Aiden == (¬Aiden ∨ ¬Lucas)\np.addConstraint(lambda a, l: a == (not a or not l), ['Aiden', 'Lucas'])\n\n# 处理Lucas的陈述：\"Lucas is a knight and Aiden is a knight\"，根据双条件约束，Lucas == (l and a)\np.addConstraint(lambda l, a: l == (l and a), ['Lucas', 'Aiden'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k: 'knight' if v else 'knave' for k, v in sol.items()})" ], "text": "{\"Aiden\": \"knight\", \"Lucas\": \"knave\"}", "used_python_constraint": true, "duration_s": 2.129, "provider_receipts": [ { "turn": 1, "response_id": "0217853599276025e43bed6e99f957d955d5fe9d61687634b2934", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1092, "completion_tokens": 267, "total_tokens": 1359, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853599292255e43bed6e99f957d955d5fe9d61687637aa545", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1446, "completion_tokens": 59, "total_tokens": 1505, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p3-r006", "num": 3, "pred": { "Olivia": "knight", "Amelia": "knave", "James": "knave" }, "gold": { "Olivia": "knight", "Amelia": "knave", "James": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people3_num100.jsonl", "file_sha256": "4c3d767065edb62d19728da7a4e4e4c63f550c1719c3600c868f50f48715711e", "row": 6, "dataset_index": 6 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\nfor name in ['Olivia', 'Amelia', 'James']:\n p.addVariable(name, [True, False])\n\n# Olivia说'James是个无赖'\np.addConstraint(lambda olivia, james: olivia == (not james), ['Olivia', 'James'])\n\n# Amelia说'Olivia是个无赖'\np.addConstraint(lambda amelia, olivia: amelia == (not olivia), ['Amelia', 'Olivia'])\n\n# James说'James是骑士当且仅当Amelia是无赖'\np.addConstraint(lambda james, amelia: james == (james == (not amelia)), ['James', 'Amelia'])\n\nsolutions = p.getSolutions()\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\nfor name in ['Olivia', 'Amelia', 'James']:\n p.addVariable(name, [True, False])\n\n# Olivia说'James是个无赖'\np.addConstraint(lambda olivia, james: olivia == (not james), ['Olivia', 'James'])\n\n# Amelia说'Olivia是个无赖'\np.addConstraint(lambda amelia, olivia: amelia == (not olivia), ['Amelia', 'Olivia'])\n\n# James说'James是骑士当且仅当Amelia是无赖'\np.addConstraint(lambda james, amelia: james == (james == (not amelia)), ['James', 'Amelia'])\n\nsolutions = p.getSolutions()\nresult = {k: 'knight' if v else 'knave' for sol in solutions for k, v in sol.items()}\nprint(result)" ], "text": "{\"Olivia\": \"knight\", \"Amelia\": \"knave\", \"James\": \"knave\"}", "used_python_constraint": true, "duration_s": 6.316, "provider_receipts": [ { "turn": 1, "response_id": "0217853599297405e43bed6e99f957d955d5fe9d61687637403c5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1093, "completion_tokens": 313, "total_tokens": 1406, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853599317225e43bed6e99f957d955d5fe9d6168763459465", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1505, "completion_tokens": 326, "total_tokens": 1831, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853599335975e43bed6e99f957d955d5fe9d616876329da28", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1782, "completion_tokens": 306, "total_tokens": 2088, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853599353935e43bed6e99f957d955d5fe9d61687637f32d9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2055, "completion_tokens": 73, "total_tokens": 2128, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p3-r092", "num": 3, "pred": { "William": "knight", "Isabella": "knave", "David": "knave" }, "gold": { "William": "knight", "Isabella": "knave", "David": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people3_num100.jsonl", "file_sha256": "4c3d767065edb62d19728da7a4e4e4c63f550c1719c3600c868f50f48715711e", "row": 92, "dataset_index": 98 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('William', [True, False])\np.addVariable('Isabella', [True, False])\np.addVariable('David', [True, False])\n\n# William说'David不是骑士'，根据规则，William == (David为False)\np.addConstraint(lambda william, david: william == (not david), ['William', 'David'])\n# Isabella说'William不是骑士'，所以Isabella == (William为False)\np.addConstraint(lambda isabella, william: isabella == (not william), ['Isabella', 'William'])\n# David说'David是骑士且William是骑士'，即David == (David and William)\np.addConstraint(lambda david, william: david == (david and william), ['David', 'William'])\n\n# 找出所有满足约束的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('William', [True, False])\np.addVariable('Isabella', [True, False])\np.addVariable('David', [True, False])\n\n# William说'David不是骑士'，根据规则，William == (David为False)\np.addConstraint(lambda william, david: william == (not david), ['William', 'David'])\n# Isabella说'William不是骑士'，所以Isabella == (William为False)\np.addConstraint(lambda isabella, william: isabella == (not william), ['Isabella', 'William'])\n# David说'David是骑士且William是骑士'，即David == (David and William)\np.addConstraint(lambda david, william: david == (david and william), ['David', 'William'])\n\n# 找出所有满足约束的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n for name, is_knight in sol.items():\n final_result[name] = 'knight' if is_knight else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('William', [True, False])\np.addVariable('Isabella', [True, False])\np.addVariable('David', [True, False])\n\n# William说'David不是骑士'，根据规则，William == (David为False)\np.addConstraint(lambda william, david: william == (not david), ['William', 'David'])\n# Isabella说'William不是骑士'，所以Isabella == (William为False)\np.addConstraint(lambda isabella, william: isabella == (not william), ['Isabella', 'William'])\n# David说'David是骑士且William是骑士'，即David == (David and William)\np.addConstraint(lambda david, william: david == (david and william), ['David', 'William'])\n\n# 找出所有满足约束的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n for name, is_knight in sol.items():\n final_result[name] = 'knight' if is_knight else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('William', [True, False])\np.addVariable('Isabella', [True, False])\np.addVariable('David', [True, False])\n\n# William说'David不是骑士'，根据规则，William == (David为False)\np.addConstraint(lambda william, david: william == (not david), ['William', 'David'])\n# Isabella说'William不是骑士'，所以Isabella == (William为False)\np.addConstraint(lambda isabella, william: isabella == (not william), ['Isabella', 'William'])\n# David说'David是骑士且William是骑士'，即David == (David and William)\np.addConstraint(lambda david, william: david == (david and william), ['David', 'William'])\n\n# 找出所有满足约束的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n for name, is_knight in sol.items():\n final_result[name] = 'knight' if is_knight else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('William', [True, False])\np.addVariable('Isabella', [True, False])\np.addVariable('David', [True, False])\n\n# William说'David不是骑士'，根据规则，William == (David为False)\np.addConstraint(lambda william, david: william == (not david), ['William', 'David'])\n# Isabella说'William不是骑士'，所以Isabella == (William为False)\np.addConstraint(lambda isabella, william: isabella == (not william), ['Isabella', 'William'])\n# David说'David是骑士且William是骑士'，即David == (David and William)\np.addConstraint(lambda david, william: david == (david and william), ['David', 'William'])\n\n# 找出所有满足约束的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n for name, is_knight in sol.items():\n final_result[name] = 'knight' if is_knight else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('William', [True, False])\np.addVariable('Isabella', [True, False])\np.addVariable('David', [True, False])\n\n# William说'David不是骑士'，根据规则，William == (David为False)\np.addConstraint(lambda william, david: william == (not david), ['William', 'David'])\n# Isabella说'William不是骑士'，所以Isabella == (William为False)\np.addConstraint(lambda isabella, william: isabella == (not william), ['Isabella', 'William'])\n# David说'David是骑士且William是骑士'，即David == (David and William)\np.addConstraint(lambda david, william: david == (david and william), ['David', 'William'])\n\n# 找出所有满足约束的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n for name, is_knight in sol.items():\n final_result[name] = 'knight' if is_knight else 'knave'\n\nprint(final_result)" ], "text": "{\"William\": \"knight\", \"David\": \"knave\", \"Isabella\": \"knave\"}", "used_python_constraint": true, "duration_s": 21.758, "provider_receipts": [ { "turn": 1, "response_id": "0217853599360655e43bed6e99f957d955d5fe9d6168763dbd1c3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1095, "completion_tokens": 303, "total_tokens": 1398, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853599378585e43bed6e99f957d955d5fe9d6168763d21c24", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1495, "completion_tokens": 1488, "total_tokens": 2983, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853599458695e43bed6e99f957d955d5fe9d6168763bc6f60", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1832, "completion_tokens": 380, "total_tokens": 2212, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853599480805e43bed6e99f957d955d5fe9d61687637b7036", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2180, "completion_tokens": 401, "total_tokens": 2581, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853599505625e43bed6e99f957d955d5fe9d6168763f8b55c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2528, "completion_tokens": 372, "total_tokens": 2900, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853599527525e43bed6e99f957d955d5fe9d6168763d31029", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2876, "completion_tokens": 400, "total_tokens": 3276, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853599550695e43bed6e99f957d955d5fe9d6168763123eb2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3224, "completion_tokens": 374, "total_tokens": 3598, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853599571735e43bed6e99f957d955d5fe9d616876315ca0d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3572, "completion_tokens": 88, "total_tokens": 3660, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p4-r066", "num": 4, "pred": { "Scarlett": "knave", "Sophia": "knave", "Logan": "knight", "Victoria": "knight" }, "gold": { "Scarlett": "knave", "Sophia": "knave", "Logan": "knight", "Victoria": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people4_num100.jsonl", "file_sha256": "b3811d1ea4bbdb2ade55dde240361470516e0541c58b5c526609f99ad6a038d7", "row": 66, "dataset_index": 69 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Scarlett', [True, False])\np.addVariable('Sophia', [True, False])\np.addVariable('Logan', [True, False])\np.addVariable('Victoria', [True, False])\n\n# Scarlett说'Victoria是个无赖'，所以Scarlett的真假等于Victoria是假\np.addConstraint(lambda s, v: s == (not v), ['Scarlett', 'Victoria'])\n# Sophia说'Scarlett是骑士'，所以Sophia的真假等于Scarlett是真\np.addConstraint(lambda so, s: so == s, ['Sophia', 'Scarlett'])\n# Logan说'Victoria是骑士'，所以Logan的真假等于Victoria是真\np.addConstraint(lambda l, v: l == v, ['Logan', 'Victoria'])\n# Victoria说'Logan是无赖或者Logan是骑士'，因为'Logan是无赖或者Logan是骑士'恒真，所以Victoria的真假等于True\np.addConstraint(lambda v: v == True, ['Victoria'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n # 转换为骑士或无赖的描述\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)\n" ], "text": "{\"Scarlett\": \"knave\", \"Sophia\": \"knave\", \"Logan\": \"knight\", \"Victoria\": \"knight\"}", "used_python_constraint": true, "duration_s": 2.975, "provider_receipts": [ { "turn": 1, "response_id": "0217853599578335e43bed6e99f957d955d5fe9d616876357b950", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1110, "completion_tokens": 361, "total_tokens": 1471, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853599601065e43bed6e99f957d955d5fe9d61687637439ac", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1573, "completion_tokens": 88, "total_tokens": 1661, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p4-r082", "num": 4, "pred": { "Amelia": "knave", "Riley": "knight", "Victoria": "knave", "Elizabeth": "knave" }, "gold": { "Amelia": "knave", "Riley": "knight", "Victoria": "knave", "Elizabeth": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people4_num100.jsonl", "file_sha256": "b3811d1ea4bbdb2ade55dde240361470516e0541c58b5c526609f99ad6a038d7", "row": 82, "dataset_index": 88 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Amelia', 'Riley', 'Victoria', 'Elizabeth'], [True, False])\n\n# Amelia说'Elizabeth是骑士'，所以Amelia的布尔值等于Elizabeth是骑士（即Elizabeth为True）\ndef amelia_constraint(Amelia, Elizabeth):\n return Amelia == Elizabeth\np.addConstraint(amelia_constraint, ['Amelia', 'Elizabeth'])\n\n# Riley说'Elizabeth不是骑士'，所以Riley的布尔值等于Elizabeth不是骑士（即Elizabeth为False）\ndef riley_constraint(Riley, Elizabeth):\n return Riley == (not Elizabeth)\np.addConstraint(riley_constraint, ['Riley', 'Elizabeth'])\n\n# Victoria说'Elizabeth是骑士或Amelia是骑士'，所以Victoria的布尔值等于(Elizabeth为True 或 Amelia为True)\ndef victoria_constraint(Victoria, Elizabeth, Amelia):\n return Victoria == (Elizabeth or Amelia)\np.addConstraint(victoria_constraint, ['Victoria', 'Elizabeth', 'Amelia'])\n\n# Elizabeth说'Amelia是个无赖且Amelia是骑士'，即False，所以Elizabeth的布尔值等于False\ndef elizabeth_constraint(Elizabeth):\n return Elizabeth == False\np.addConstraint(elizabeth_constraint, ['Elizabeth'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})" ], "text": "{\"Amelia\": \"knave\", \"Riley\": \"knight\", \"Victoria\": \"knave\", \"Elizabeth\": \"knave\"}", "used_python_constraint": true, "duration_s": 2.798, "provider_receipts": [ { "turn": 1, "response_id": "0217853599608165e43bed6e99f957d955d5fe9d6168763b542a5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1107, "completion_tokens": 378, "total_tokens": 1485, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853599629615e43bed6e99f957d955d5fe9d6168763b9bd9e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1583, "completion_tokens": 73, "total_tokens": 1656, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p5-r016", "num": 5, "pred": { "Penelope": "knight", "Scarlett": "knave", "Zoey": "knave", "David": "knave", "Logan": "knight" }, "gold": { "Penelope": "knight", "Scarlett": "knave", "Zoey": "knave", "David": "knight", "Logan": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people5_num100.jsonl", "file_sha256": "17529110798b0a659286983d0cf4e0d3b5a2b560dfb6ab3b3acb1b61ac9d7da7", "row": 16, "dataset_index": 16 }, "codes": [ "", "", "from constraint import Problem\n\np = Problem()\np.addVariables(['Penelope', 'Scarlett', 'Zoey', 'David', 'Logan'], [True, False])\n\n# Penelope的陈述：Penelope是骑士或Logan是骑士\np.addConstraint(lambda penelope, logan: penelope == (penelope or logan), ['Penelope', 'Logan'])\n\n# Scarlett的陈述：Penelope不是骑士\np.addConstraint(lambda scarlett, penelope: scarlett == (not penelope), ['Scarlett', 'Penelope'])\n\n# Zoey的陈述：Scarlett是骑士或Logan是无赖\np.addConstraint(lambda zoey, scarlett, logan: zoey == (scarlett or not logan), ['Zoey', 'Scarlett', 'Logan'])\n\n# David的陈述：如果Penelope是无赖，那么Zoey是骑士\np.addConstraint(lambda david, penelope, zoey: david == (not penelope or zoey), ['David', 'Penelope', 'Zoey'])\n\n# Logan的陈述：如果David是无赖，那么Zoey是骑士\np.addConstraint(lambda logan, david, zoey: logan == (not david or zoey), ['Logan', 'David', 'Zoey'])\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\np = Problem()\np.addVariables(['Penelope', 'Scarlett', 'Zoey', 'David', 'Logan'], [True, False])\n\n# Penelope的陈述：Penelope是骑士或Logan是骑士\np.addConstraint(lambda penelope, logan: penelope == (penelope or logan), ['Penelope', 'Logan'])\n\n# Scarlett的陈述：Penelope不是骑士\np.addConstraint(lambda scarlett, penelope: scarlett == (not penelope), ['Scarlett', 'Penelope'])\n\n# Zoey的陈述：Scarlett是骑士或Logan是无赖\np.addConstraint(lambda zoey, scarlett, logan: zoey == (scarlett or not logan), ['Zoey', 'Scarlett', 'Logan'])\n\n# David的陈述：如果Penelope是无赖，那么Zoey是骑士\np.addConstraint(lambda david, penelope, zoey: david == (not penelope or zoey), ['David', 'Penelope', 'Zoey'])\n\n# Logan的陈述：如果David是无赖，那么Zoey是骑士\np.addConstraint(lambda logan, david, zoey: logan == (not david or zoey), ['Logan', 'David', 'Zoey'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n\nprint(result)" ], "text": "{\"Penelope\": \"knight\", \"Scarlett\": \"knave\", \"Zoey\": \"knave\", \"David\": \"knave\", \"Logan\": \"knight\"}", "used_python_constraint": true, "duration_s": 29.961, "provider_receipts": [ { "turn": 1, "response_id": "0217853599636245e43bed6e99f957d955d5fe9d61687633dc9d9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1148, "completion_tokens": 443, "total_tokens": 1591, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853599663535e43bed6e99f957d955d5fe9d6168763253954", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 1699, "completion_tokens": 4169, "total_tokens": 5868, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853599845155e43bed6e99f957d955d5fe9d6168763d47605", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1760, "completion_tokens": 1153, "total_tokens": 2913, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853599901015e43bed6e99f957d955d5fe9d61687636c3ab2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2198, "completion_tokens": 464, "total_tokens": 2662, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853599927805e43bed6e99f957d955d5fe9d6168763fd19ec", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2635, "completion_tokens": 98, "total_tokens": 2733, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p5-r041", "num": 5, "pred": null, "gold": { "Henry": "knave", "Aurora": "knight", "Joseph": "knight", "Jackson": "knave", "Ava": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people5_num100.jsonl", "file_sha256": "17529110798b0a659286983d0cf4e0d3b5a2b560dfb6ab3b3acb1b61ac9d7da7", "row": 41, "dataset_index": 41 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Henry', 'Aurora', 'Joseph', 'Jackson', 'Ava'], [True, False])\n\n# 亨利说：Aurora是knave或者Ava是knight\np.addConstraint(lambda henry, aurora, ava: henry == ((not aurora) or ava), ['Henry', 'Aurora', 'Ava'])\n\n# 奥罗拉说：Henry是knight或者Henry是knave\np.addConstraint(lambda aurora: aurora == True, ['Aurora'])\n\n# 约瑟夫说：Jackson不是knight\np.addConstraint(lambda joseph, jackson: joseph == (not jackson), ['Joseph', 'Jackson'])\n\n# 杰克逊说：Aurora不是knight\np.addConstraint(lambda jackson, aurora: jackson == (not aurora), ['Jackson', 'Aurora'])\n\n# 艾娃说：Joseph是knave或者Jackson是knight\np.addConstraint(lambda ava, joseph, jackson: ava == ((not joseph) or jackson), ['Ava', 'Joseph', 'Jackson'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Henry', 'Aurora', 'Joseph', 'Jackson', 'Ava'], [True, False])\n\n# 亨利说：Aurora是knave或者Ava是knight\np.addConstraint(lambda henry, aurora, ava: henry == ((not aurora) or ava), ['Henry', 'Aurora', 'Ava'])\n\n# 奥罗拉说：Henry是knight或者Henry是knave\np.addConstraint(lambda aurora: aurora == True, ['Aurora'])\n\n# 约瑟夫说：Jackson不是knight\np.addConstraint(lambda joseph, jackson: joseph == (not jackson), ['Joseph', 'Jackson'])\n\n# 杰克逊说：Aurora不是knight\np.addConstraint(lambda jackson, aurora: jackson == (not aurora), ['Jackson', 'Aurora'])\n\n# 艾娃说：Joseph是knave或者Jackson是knight\np.addConstraint(lambda ava, joseph, jackson: ava == ((not joseph) or jackson), ['Ava', 'Joseph', 'Jackson'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 提取结果\nresult = {} \nfor sol in solutions:\n result['Henry'] = 'knight' if sol['Henry'] else 'knave'\n result['Aurora'] = 'knight' if sol['Aurora'] else 'knave'\n result['Joseph'] = 'knight' if sol['Joseph'] else 'knave'\n result['Jackson'] = 'knight' if sol['Jackson'] else 'knave'\n result['Ava'] = 'knight' if sol['Ava'] else 'knave'\n\n# 打印结果\nprint(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Henry', 'Aurora', 'Joseph', 'Jackson', 'Ava'], [True, False])\n\n# 亨利说：Aurora是knave或者Ava是knight\np.addConstraint(lambda henry, aurora, ava: henry == ((not aurora) or ava), ['Henry', 'Aurora', 'Ava'])\n\n# 奥罗拉说：Henry是knight或者Henry是knave\np.addConstraint(lambda aurora: aurora == True, ['Aurora'])\n\n# 约瑟夫说：Jackson不是knight\np.addConstraint(lambda joseph, jackson: joseph == (not jackson), ['Joseph', 'Jackson'])\n\n# 杰克逊说：Aurora不是knight\np.addConstraint(lambda jackson, aurora: jackson == (not aurora), ['Jackson', 'Aurora'])\n\n# 艾娃说：Joseph是knave或者Jackson是knight\np.addConstraint(lambda ava, joseph, jackson: ava == ((not joseph) or jackson), ['Ava', 'Joseph', 'Jackson'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Henry'] = 'knight' if sol['Henry'] else 'knave'\n final_result['Aurora'] = 'knight' if sol['Aurora'] else 'knave'\n final_result['Joseph'] = 'knight' if sol['Joseph'] else 'knave'\n final_result['Jackson'] = 'knight' if sol['Jackson'] else 'knave'\n final_result['Ava'] = 'knight' if sol['Ava'] else 'knave'\n\n# 打印结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Henry', 'Aurora', 'Joseph', 'Jackson', 'Ava'], [True, False])\n\n# 亨利说：Aurora是knave或者Ava是knight\np.addConstraint(lambda henry, aurora, ava: henry == ((not aurora) or ava), ['Henry', 'Aurora', 'Ava'])\n\n# 奥罗拉说：Henry是knight或者Henry是knave\np.addConstraint(lambda aurora: aurora == True, ['Aurora'])\n\n# 约瑟夫说：Jackson不是knight\np.addConstraint(lambda joseph, jackson: joseph == (not jackson), ['Joseph', 'Jackson'])\n\n# 杰克逊说：Aurora不是knight\np.addConstraint(lambda jackson, aurora: jackson == (not aurora), ['Jackson', 'Aurora'])\n\n# 艾娃说：Joseph是knave或者Jackson是knight\np.addConstraint(lambda ava, joseph, jackson: ava == ((not joseph) or jackson), ['Ava', 'Joseph', 'Jackson'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Henry'] = 'knight' if sol['Henry'] else 'knave'\n final_result['Aurora'] = 'knight' if sol['Aurora'] else 'knave'\n final_result['Joseph'] = 'knight' if sol['Joseph'] else 'knave'\n final_result['Jackson'] = 'knight' if sol['Jackson'] else 'knave'\n final_result['Ava'] = 'knight' if sol['Ava'] else 'knave'\n\n# 打印结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Henry', 'Aurora', 'Joseph', 'Jackson', 'Ava'], [True, False])\n\n# 亨利说：Aurora是knave或者Ava是knight\np.addConstraint(lambda henry, aurora, ava: henry == ((not aurora) or ava), ['Henry', 'Aurora', 'Ava'])\n\n# 奥罗拉说：Henry是knight或者Henry是knave\np.addConstraint(lambda aurora: aurora == True, ['Aurora'])\n\n# 约瑟夫说：Jackson不是knight\np.addConstraint(lambda joseph, jackson: joseph == (not jackson), ['Joseph', 'Jackson'])\n\n# 杰克逊说：Aurora不是knight\np.addConstraint(lambda jackson, aurora: jackson == (not aurora), ['Jackson', 'Aurora'])\n\n# 艾娃说：Joseph是knave或者Jackson是knight\np.addConstraint(lambda ava, joseph, jackson: ava == ((not joseph) or jackson), ['Ava', 'Joseph', 'Jackson'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Henry'] = 'knight' if sol['Henry'] else 'knave'\n final_result['Aurora'] = 'knight' if sol['Aurora'] else 'knave'\n final_result['Joseph'] = 'knight' if sol['Joseph'] else 'knave'\n final_result['Jackson'] = 'knight' if sol['Jackson'] else 'knave'\n final_result['Ava'] = 'knight' if sol['Ava'] else 'knave'\n\n# 打印结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Henry', 'Aurora', 'Joseph', 'Jackson', 'Ava'], [True, False])\n\n# 亨利说：Aurora是knave或者Ava是knight\np.addConstraint(lambda henry, aurora, ava: henry == ((not aurora) or ava), ['Henry', 'Aurora', 'Ava'])\n\n# 奥罗拉说：Henry是knight或者Henry是knave\np.addConstraint(lambda aurora: aurora == True, ['Aurora'])\n\n# 约瑟夫说：Jackson不是knight\np.addConstraint(lambda joseph, jackson: joseph == (not jackson), ['Joseph', 'Jackson'])\n\n# 杰克逊说：Aurora不是knight\np.addConstraint(lambda jackson, aurora: jackson == (not aurora), ['Jackson', 'Aurora'])\n\n# 艾娃说：Joseph是knave或者Jackson是knight\np.addConstraint(lambda ava, joseph, jackson: ava == ((not joseph) or jackson), ['Ava', 'Joseph', 'Jackson'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Henry'] = 'knight' if sol['Henry'] else 'knave'\n final_result['Aurora'] = 'knight' if sol['Aurora'] else 'knave'\n final_result['Joseph'] = 'knight' if sol['Joseph'] else 'knave'\n final_result['Jackson'] = 'knight' if sol['Jackson'] else 'knave'\n final_result['Ava'] = 'knight' if sol['Ava'] else 'knave'\n\n# 打印结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Henry', 'Aurora', 'Joseph', 'Jackson', 'Ava'], [True, False])\n\n# 亨利说：Aurora是knave或者Ava是knight\np.addConstraint(lambda henry, aurora, ava: henry == ((not aurora) or ava), ['Henry', 'Aurora', 'Ava'])\n\n# 奥罗拉说：Henry是knight或者Henry是knave\np.addConstraint(lambda aurora: aurora == True, ['Aurora'])\n\n# 约瑟夫说：Jackson不是knight\np.addConstraint(lambda joseph, jackson: joseph == (not jackson), ['Joseph', 'Jackson'])\n\n# 杰克逊说：Aurora不是knight\np.addConstraint(lambda jackson, aurora: jackson == (not aurora), ['Jackson', 'Aurora'])\n\n# 艾娃说：Joseph是knave或者Jackson是knight\np.addConstraint(lambda ava, joseph, jackson: ava == ((not joseph) or jackson), ['Ava', 'Joseph', 'Jackson'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Henry'] = 'knight' if sol['Henry'] else 'knave'\n final_result['Aurora'] = 'knight' if sol['Aurora'] else 'knave'\n final_result['Joseph'] = 'knight' if sol['Joseph'] else 'knave'\n final_result['Jackson'] = 'knight' if sol['Jackson'] else 'knave'\n final_result['Ava'] = 'knight' if sol['Ava'] else 'knave'\n\n# 打印结果\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 25.391, "provider_receipts": [ { "turn": 1, "response_id": "0217853599935945e43bed6e99f957d955d5fe9d61687632dad34", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1134, "completion_tokens": 431, "total_tokens": 1565, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853599963025e43bed6e99f957d955d5fe9d61687632383cf", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1672, "completion_tokens": 871, "total_tokens": 2543, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853600008335e43bed6e99f957d955d5fe9d61687633c88a8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2096, "completion_tokens": 575, "total_tokens": 2671, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853600038815e43bed6e99f957d955d5fe9d6168763d87eb8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2614, "completion_tokens": 585, "total_tokens": 3199, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853600069915e43bed6e99f957d955d5fe9d6168763aa4eb3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3139, "completion_tokens": 566, "total_tokens": 3705, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853600099935e43bed6e99f957d955d5fe9d6168763457ff9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3664, "completion_tokens": 553, "total_tokens": 4217, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853600128285e43bed6e99f957d955d5fe9d61687636dc183", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4189, "completion_tokens": 544, "total_tokens": 4733, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853600159195e43bed6e99f957d955d5fe9d6168763c2193a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4714, "completion_tokens": 579, "total_tokens": 5293, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "perturbed_leaf-p6-r017", "num": 6, "pred": null, "gold": { "Scarlett": "knight", "Jacob": "knight", "Benjamin": "knave", "Charlotte": "knave", "David": "knight", "Zoey": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people6_num100.jsonl", "file_sha256": "032c0c253bbe574335c741bb5ba7d07b48f622e217dc939f72a633ef9fbe46b0", "row": 17, "dataset_index": 17 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n\np.addVariables(['Scarlett', 'Jacob', 'Benjamin', 'Charlotte', 'David', 'Zoey'], [True, False])\n\n# Scarlett's statement: Jacob is a knight or Charlotte is a knight\np.addConstraint(lambda s, j, c: s == (j or c), ['Scarlett', 'Jacob', 'Charlotte'])\n\n# Jacob's statement: If Charlotte is a knight then Zoey is a knave\np.addConstraint(lambda j, c, z: j == (not c), ['Jacob', 'Charlotte', 'Zoey'])\n\n# Benjamin's statement: Jacob is a knave if and only if Jacob is a knight\np.addConstraint(lambda b, j: b == ((not j) == j), ['Benjamin', 'Jacob'])\n\n# Charlotte's statement: Jacob is a knight and David is a knave\np.addConstraint(lambda c, j, d: c == (j and not d), ['Charlotte', 'Jacob', 'David'])\n\n# David's statement: If Jacob is a knight then Zoey is a knave\np.addConstraint(lambda d, j, z: d == (not j), ['David', 'Jacob', 'Zoey'])\n\n# Zoey's statement: Jacob is not a knight\np.addConstraint(lambda z, j: z == (not j), ['Zoey', 'Jacob'])\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# Define variables for each inhabitant: True is knight, False is knave\np.addVariables(['Scarlett', 'Jacob', 'Benjamin', 'Charlotte', 'David', 'Zoey'], [True, False])\n\n# Scarlett's statement: Jacob is a knight or Charlotte is a knight\np.addConstraint(lambda s, j, c: s == (j or c), ['Scarlett', 'Jacob', 'Charlotte'])\n\n# Jacob's statement: If Charlotte is a knight then Zoey is a knave\np.addConstraint(lambda j, c, z: j == (not c), ['Jacob', 'Charlotte', 'Zoey'])\n\n# Benjamin's statement: Jacob is a knave if and only if Jacob is a knight\np.addConstraint(lambda b, j: b == ((not j) == j), ['Benjamin', 'Jacob'])\n\n# Charlotte's statement: Jacob is a knight and David is a knave\np.addConstraint(lambda c, j, d: c == (j and not d), ['Charlotte', 'Jacob', 'David'])\n\n# David's statement: If Jacob is a knight then Zoey is a knave\np.addConstraint(lambda d, j, z: d == (not j), ['David', 'Jacob', 'Zoey'])\n\n# Zoey's statement: Jacob is not a knight\np.addConstraint(lambda z, j: z == (not j), ['Zoey', 'Jacob'])\n\n# Find all solutions\nsolutions = p.getSolutions()\n\n# Print the results\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# Define variables for each inhabitant: True for knight, False for knave\np.addVariables(['Scarlett', 'Jacob', 'Benjamin', 'Charlotte', 'David', 'Zoey'], [True, False])\n\n# Scarlett's statement: Jacob is a knight or Charlotte is a knight\np.addConstraint(lambda s, j, c: s == (j or c), ['Scarlett', 'Jacob', 'Charlotte'])\n\n# Jacob's statement: If Charlotte is a knight then Zoey is a knave\np.addConstraint(lambda j, c, z: j == (not c), ['Jacob', 'Charlotte', 'Zoey'])\n\n# Benjamin's statement: Jacob is a knave if and only if Jacob is a knight\np.addConstraint(lambda b, j: b == ((not j) == j), ['Benjamin', 'Jacob'])\n\n# Charlotte's statement: Jacob is a knight and David is a knave\np.addConstraint(lambda c, j, d: c == (j and not d), ['Charlotte', 'Jacob', 'David'])\n\n# David's statement: If Jacob is a knight then Zoey is a knave\np.addConstraint(lambda d, j, z: d == (not j), ['David', 'Jacob', 'Zoey'])\n\n# Zoey's statement: Jacob is not a knight\np.addConstraint(lambda z, j: z == (not j), ['Zoey', 'Jacob'])\n\n# Find all solutions\n solutions = p.getSolutions()\n\n# Print the results\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# Define variables for each inhabitant: True is knight, False is knave\np.addVariables(['Scarlett', 'Jacob', 'Benjamin', 'Charlotte', 'David', 'Zoey'], [True, False])\n\n# Scarlett's statement: Jacob is a knight or Charlotte is a knight\np.addConstraint(lambda s, j, c: s == (j or c), ['Scarlett', 'Jacob', 'Charlotte'])\n\n# Jacob's statement: If Charlotte is a knight then Zoey is a knave\np.addConstraint(lambda j, c, z: j == (not c), ['Jacob', 'Charlotte', 'Zoey'])\n\n# Benjamin's statement: Jacob is a knave if and only if Jacob is a knight\np.addConstraint(lambda b, j: b == ((not j) == j), ['Benjamin', 'Jacob'])\n\n# Charlotte's statement: Jacob is a knight and David is a knave\np.addConstraint(lambda c, j, d: c == (j and not d), ['Charlotte', 'Jacob', 'David'])\n\n# David's statement: If Jacob is a knight then Zoey is a knave\np.addConstraint(lambda d, j, z: d == (not j), ['David', 'Jacob', 'Zoey'])\n\n# Zoey's statement: Jacob is not a knight\np.addConstraint(lambda z, j: z == (not j), ['Zoey', 'Jacob'])\n\n# Find all solutions\nsolutions = p.getSolutions()\n\n# Print the results\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# Define variables for each inhabitant: True is knight, False is knave\np.addVariables(['Scarlett', 'Jacob', 'Benjamin', 'Charlotte', 'David', 'Zoey'], [True, False])\n\n# Scarlett's statement: Jacob is a knight or Charlotte is a knight\np.addConstraint(lambda s, j, c: s == (j or c), ['Scarlett', 'Jacob', 'Charlotte'])\n\n# Jacob's statement: If Charlotte is a knight then Zoey is a knave\np.addConstraint(lambda j, c, z: j == (not c), ['Jacob', 'Charlotte', 'Zoey'])\n\n# Benjamin's statement: Jacob is a knave if and only if Jacob is a knight\np.addConstraint(lambda b, j: b == ((not j) == j), ['Benjamin', 'Jacob'])\n\n# Charlotte's statement: Jacob is a knight and David is a knave\np.addConstraint(lambda c, j, d: c == (j and not d), ['Charlotte', 'Jacob', 'David'])\n\n# David's statement: If Jacob is a knight then Zoey is a knave\np.addConstraint(lambda d, j, z: d == (not j), ['David', 'Jacob', 'Zoey'])\n\n# Zoey's statement: Jacob is not a knight\np.addConstraint(lambda z, j: z == (not j), ['Zoey', 'Jacob'])\n\n# Find all solutions\nsolutions = p.getSolutions()\n\n# Print the results\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# Define variables for each inhabitant: True is knight, False is knave\np.addVariables(['Scarlett', 'Jacob', 'Benjamin', 'Charlotte', 'David', 'Zoey'], [True, False])\n\n# Scarlett's statement: Jacob is a knight or Charlotte is a knight\np.addConstraint(lambda s, j, c: s == (j or c), ['Scarlett', 'Jacob', 'Charlotte'])\n\n# Jacob's statement: If Charlotte is a knight then Zoey is a knave\np.addConstraint(lambda j, c, z: j == (not c), ['Jacob', 'Charlotte', 'Zoey'])\n\n# Benjamin's statement: Jacob is a knave if and only if Jacob is a knight\np.addConstraint(lambda b, j: b == ((not j) == j), ['Benjamin', 'Jacob'])\n\n# Charlotte's statement: Jacob is a knight and David is a knave\np.addConstraint(lambda c, j, d: c == (j and not d), ['Charlotte', 'Jacob', 'David'])\n\n# David's statement: If Jacob is a knight then Zoey is a knave\np.addConstraint(lambda d, j, z: d == (not j), ['David', 'Jacob', 'Zoey'])\n\n# Zoey's statement: Jacob is not a knight\np.addConstraint(lambda z, j: z == (not j), ['Zoey', 'Jacob'])\n\n# Find all solutions\nsolutions = p.getSolutions()\n\n# Print the results\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# Define variables for each inhabitant: True for knight, False for knave\np.addVariables(['Scarlett', 'Jacob', 'Benjamin', 'Charlotte', 'David', 'Zoey'], [True, False])\n\n# Scarlett's statement: Jacob is a knight or Charlotte is a knight\np.addConstraint(lambda s, j, c: s == (j or c), ['Scarlett', 'Jacob', 'Charlotte'])\n\n# Jacob's statement: If Charlotte is a knight then Zoey is a knave\np.addConstraint(lambda j, c, z: j == (not c), ['Jacob', 'Charlotte', 'Zoey'])\n\n# Benjamin's statement: Jacob is a knave if and only if Jacob is a knight\np.addConstraint(lambda b, j: b == ((not j) == j), ['Benjamin', 'Jacob'])\n\n# Charlotte's statement: Jacob is a knight and David is a knave\np.addConstraint(lambda c, j, d: c == (j and not d), ['Charlotte', 'Jacob', 'David'])\n\n# David's statement: If Jacob is a knight then Zoey is a knave\np.addConstraint(lambda d, j, z: d == (not j), ['David', 'Jacob', 'Zoey'])\n\n# Zoey's statement: Jacob is not a knight\np.addConstraint(lambda z, j: z == (not j), ['Zoey', 'Jacob'])\n\n# Find all solutions\n solutions = p.getSolutions()\n\n# Print the results\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)" ], "text": "", "used_python_constraint": true, "duration_s": 67.171, "provider_receipts": [ { "turn": 1, "response_id": "0217853600189925e43bed6e99f957d955d5fe9d6168763567673", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1163, "completion_tokens": 479, "total_tokens": 1642, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853600217985e43bed6e99f957d955d5fe9d616876342acc2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 1751, "completion_tokens": 4563, "total_tokens": 6314, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853600424205e43bed6e99f957d955d5fe9d6168763c61d87", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2176, "completion_tokens": 1065, "total_tokens": 3241, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853600478955e43bed6e99f957d955d5fe9d61687633fb0ff", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2627, "completion_tokens": 688, "total_tokens": 3315, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853600517905e43bed6e99f957d955d5fe9d61687638f97f5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3128, "completion_tokens": 890, "total_tokens": 4018, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853600563855e43bed6e99f957d955d5fe9d6168763a77215", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 3579, "completion_tokens": 4577, "total_tokens": 8156, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853600762175e43bed6e99f957d955d5fe9d61687638fda5d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4030, "completion_tokens": 1112, "total_tokens": 5142, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853600820945e43bed6e99f957d955d5fe9d616876325632d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4481, "completion_tokens": 692, "total_tokens": 5173, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "perturbed_leaf-p6-r051", "num": 6, "pred": null, "gold": { "Ava": "knight", "Liam": "knight", "Jacob": "knight", "James": "knight", "Noah": "knight", "Joseph": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people6_num100.jsonl", "file_sha256": "032c0c253bbe574335c741bb5ba7d07b48f622e217dc939f72a633ef9fbe46b0", "row": 51, "dataset_index": 51 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Ava', 'Liam', 'Jacob', 'James', 'Noah', 'Joseph'], [True, False])\n\n# Ava说：Joseph是个无赖。即Ava的话为真当且仅当Ava是骑士且Joseph是无赖\np.addConstraint(lambda ava, joseph: ava == (not joseph), ['Ava', 'Joseph'])\n\n# Liam说：Jacob是无赖当且仅当Joseph是骑士。即Liam的话为真当且仅当Liam是骑士且(Jacob是无赖等价于Joseph是骑士)\np.addConstraint(lambda liam, jacob, joseph: liam == ((not jacob) == joseph), ['Liam', 'Jacob', 'Joseph'])\n\n# Jacob说：James是骑士或者Joseph是骑士。即Jacob的话为真当且仅当Jacob是骑士且(James是骑士或Joseph是骑士)\np.addConstraint(lambda jacob, james, joseph: jacob == (james or joseph), ['Jacob', 'James', 'Joseph'])\n\n# James说：如果Noah是无赖，那么Jacob是骑士。即James的话为真当且仅当James是骑士且(如果Noah是无赖则Jacob是骑士)\np.addConstraint(lambda james, noah, jacob: james == (not noah or jacob), ['James', 'Noah', 'Jacob'])\n\n# Noah说：Jacob是骑士或者Jacob是无赖。这总是真的，所以Noah的话为真当且仅当Noah是骑士\np.addConstraint(lambda noah, jacob: noah == (jacob or not jacob), ['Noah', 'Jacob'])\n\n# Joseph说：Noah不是骑士。即Joseph的话为真当且仅当Joseph是骑士且Noah是无赖\np.addConstraint(lambda joseph, noah: joseph == (not noah), ['Joseph', 'Noah'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Ava', 'Liam', 'Jacob', 'James', 'Noah', 'Joseph'], [True, False])\n\n# Ava说：Joseph是个无赖。即Ava的话为真当且仅当Ava是骑士且Joseph是无赖\np.addConstraint(lambda ava, joseph: ava == (not joseph), ['Ava', 'Joseph'])\n\n# Liam说：Jacob是无赖当且仅当Joseph是骑士。即Liam的话为真当且仅当Liam是骑士且(Jacob是无赖等价于Joseph是骑士)\np.addConstraint(lambda liam, jacob, joseph: liam == ((not jacob) == joseph), ['Liam', 'Jacob', 'Joseph'])\n\n# Jacob说：James是骑士或者Joseph是骑士。即Jacob的话为真当且仅当Jacob是骑士且(James是骑士或Joseph是骑士)\np.addConstraint(lambda jacob, james, joseph: jacob == (james or joseph), ['Jacob', 'James', 'Joseph'])\n\n# James说：如果Noah是无赖，那么Jacob是骑士。即James的话为真当且仅当James是骑士且(如果Noah是无赖则Jacob是骑士)\np.addConstraint(lambda james, noah, jacob: james == (not noah or jacob), ['James', 'Noah', 'Jacob'])\n\n# Noah说：Jacob是骑士或者Jacob是无赖。这总是真的，所以Noah的话为真当且仅当Noah是骑士\np.addConstraint(lambda noah, jacob: noah == (jacob or not jacob), ['Noah', 'Jacob'])\n\n# Joseph说：Noah不是骑士。即Joseph的话为真当且仅当Joseph是骑士且Noah是无赖\np.addConstraint(lambda joseph, noah: joseph == (not noah), ['Joseph', 'Noah'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\n# 打印最终结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Ava', 'Liam', 'Jacob', 'James', 'Noah', 'Joseph'], [True, False])\n\n# Ava说：Joseph是个无赖。即Ava的话为真当且仅当Ava是骑士且Joseph是无赖\np.addConstraint(lambda ava, joseph: ava == (not joseph), ['Ava', 'Joseph'])\n\n# Liam说：Jacob是无赖当且仅当Joseph是骑士。即Liam的话为真当且仅当Liam是骑士且(Jacob是无赖等价于Joseph是骑士)\np.addConstraint(lambda liam, jacob, joseph: liam == ((not jacob) == joseph), ['Liam', 'Jacob', 'Joseph'])\n\n# Jacob说：James是骑士或者Joseph是骑士。即Jacob的话为真当且仅当Jacob是骑士且(James是骑士或Joseph是骑士)\np.addConstraint(lambda jacob, james, joseph: jacob == (james or joseph), ['Jacob', 'James', 'Joseph'])\n\n# James说：如果Noah是无赖，那么Jacob是骑士。即James的话为真当且仅当James是骑士且(如果Noah是无赖则Jacob是骑士)\np.addConstraint(lambda james, noah, jacob: james == (not noah or jacob), ['James', 'Noah', 'Jacob'])\n\n# Noah说：Jacob是骑士或者Jacob是无赖。这总是真的，所以Noah的话为真当且仅当Noah是骑士\np.addConstraint(lambda noah, jacob: noah == (jacob or not jacob), ['Noah', 'Jacob'])\n\n# Joseph说：Noah不是骑士。即Joseph的话为真当且仅当Joseph是骑士且Noah是无赖\np.addConstraint(lambda joseph, noah: joseph == (not noah), ['Joseph', 'Noah'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\n# 打印最终结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Ava', 'Liam', 'Jacob', 'James', 'Noah', 'Joseph'], [True, False])\n\n# Ava说：Joseph是个无赖。即Ava的话为真当且仅当Ava是骑士且Joseph是无赖\np.addConstraint(lambda ava, joseph: ava == (not joseph), ['Ava', 'Joseph'])\n\n# Liam说：Jacob是无赖当且仅当Joseph是骑士。即Liam的话为真当且仅当Liam是骑士且(Jacob是无赖等价于Joseph是骑士)\np.addConstraint(lambda liam, jacob, joseph: liam == ((not jacob) == joseph), ['Liam', 'Jacob', 'Joseph'])\n\n# Jacob说：James是骑士或者Joseph是骑士。即Jacob的话为真当且仅当Jacob是骑士且(James是骑士或Joseph是骑士)\np.addConstraint(lambda jacob, james, joseph: jacob == (james or joseph), ['Jacob', 'James', 'Joseph'])\n\n# James说：如果Noah是无赖，那么Jacob是骑士。即James的话为真当且仅当James是骑士且(如果Noah是无赖则Jacob是骑士)\np.addConstraint(lambda james, noah, jacob: james == (not noah or jacob), ['James', 'Noah', 'Jacob'])\n\n# Noah说：Jacob是骑士或者Jacob是无赖。这总是真的，所以Noah的话为真当且仅当Noah是骑士\np.addConstraint(lambda noah, jacob: noah == (jacob or not jacob), ['Noah', 'Jacob'])\n\n# Joseph说：Noah不是骑士。即Joseph的话为真当且仅当Joseph是骑士且Noah是无赖\np.addConstraint(lambda joseph, noah: joseph == (not noah), ['Joseph', 'Noah'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\n# 打印最终结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Ava', 'Liam', 'Jacob', 'James', 'Noah', 'Joseph'], [True, False])\n\n# Ava说：Joseph是个无赖。即Ava的话为真当且仅当Ava是骑士且Joseph是无赖\np.addConstraint(lambda ava, joseph: ava == (not joseph), ['Ava', 'Joseph'])\n\n# Liam说：Jacob是无赖当且仅当Joseph是骑士。即Liam的话为真当且仅当Liam是骑士且(Jacob是无赖等价于Joseph是骑士)\np.addConstraint(lambda liam, jacob, joseph: liam == ((not jacob) == joseph), ['Liam', 'Jacob', 'Joseph'])\n\n# Jacob说：James是骑士或者Joseph是骑士。即Jacob的话为真当且仅当Jacob是骑士且(James是骑士或Joseph是骑士)\np.addConstraint(lambda jacob, james, joseph: jacob == (james or joseph), ['Jacob', 'James', 'Joseph'])\n\n# James说：如果Noah是无赖，那么Jacob是骑士。即James的话为真当且仅当James是骑士且(如果Noah是无赖则Jacob是骑士)\np.addConstraint(lambda james, noah, jacob: james == (not noah or jacob), ['James', 'Noah', 'Jacob'])\n\n# Noah说：Jacob是骑士或者Jacob是无赖。这总是真的，所以Noah的话为真当且仅当Noah是骑士\np.addConstraint(lambda noah, jacob: noah == (jacob or not jacob), ['Noah', 'Jacob'])\n\n# Joseph说：Noah不是骑士。即Joseph的话为真当且仅当Joseph是骑士且Noah是无赖\np.addConstraint(lambda joseph, noah: joseph == (not noah), ['Joseph', 'Noah'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\n# 打印最终结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Ava', 'Liam', 'Jacob', 'James', 'Noah', 'Joseph'], [True, False])\n\n# Ava说：Joseph是个无赖。即Ava的话为真当且仅当Ava是骑士且Joseph是无赖\np.addConstraint(lambda ava, joseph: ava == (not joseph), ['Ava', 'Joseph'])\n\n# Liam说：Jacob是无赖当且仅当Joseph是骑士。即Liam的话为真当且仅当Liam是骑士且(Jacob是无赖等价于Joseph是骑士)\np.addConstraint(lambda liam, jacob, joseph: liam == ((not jacob) == joseph), ['Liam', 'Jacob', 'Joseph'])\n\n# Jacob说：James是骑士或者Joseph是骑士。即Jacob的话为真当且仅当Jacob是骑士且(James是骑士或Joseph是骑士)\np.addConstraint(lambda jacob, james, joseph: jacob == (james or joseph), ['Jacob', 'James', 'Joseph'])\n\n# James说：如果Noah是无赖，那么Jacob是骑士。即James的话为真当且仅当James是骑士且(如果Noah是无赖则Jacob是骑士)\np.addConstraint(lambda james, noah, jacob: james == (not noah or jacob), ['James', 'Noah', 'Jacob'])\n\n# Noah说：Jacob是骑士或者Jacob是无赖。这总是真的，所以Noah的话为真当且仅当Noah是骑士\np.addConstraint(lambda noah, jacob: noah == (jacob or not jacob), ['Noah', 'Jacob'])\n\n# Joseph说：Noah不是骑士。即Joseph的话为真当且仅当Joseph是骑士且Noah是无赖\np.addConstraint(lambda joseph, noah: joseph == (not noah), ['Joseph', 'Noah'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\n# 打印最终结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Ava', 'Liam', 'Jacob', 'James', 'Noah', 'Joseph'], [True, False])\n\n# Ava说：Joseph是个无赖。即Ava的话为真当且仅当Ava是骑士且Joseph是无赖\np.addConstraint(lambda ava, joseph: ava == (not joseph), ['Ava', 'Joseph'])\n\n# Liam说：Jacob是无赖当且仅当Joseph是骑士。即Liam的话为真当且仅当Liam是骑士且(Jacob是无赖等价于Joseph是骑士)\np.addConstraint(lambda liam, jacob, joseph: liam == ((not jacob) == joseph), ['Liam', 'Jacob', 'Joseph'])\n\n# Jacob说：James是骑士或者Joseph是骑士。即Jacob的话为真当且仅当Jacob是骑士且(James是骑士或Joseph是骑士)\np.addConstraint(lambda jacob, james, joseph: jacob == (james or joseph), ['Jacob', 'James', 'Joseph'])\n\n# James说：如果Noah是无赖，那么Jacob是骑士。即James的话为真当且仅当James是骑士且(如果Noah是无赖则Jacob是骑士)\np.addConstraint(lambda james, noah, jacob: james == (not noah or jacob), ['James', 'Noah', 'Jacob'])\n\n# Noah说：Jacob是骑士或者Jacob是无赖。这总是真的，所以Noah的话为真当且仅当Noah是骑士\np.addConstraint(lambda noah, jacob: noah == (jacob or not jacob), ['Noah', 'Jacob'])\n\n# Joseph说：Noah不是骑士。即Joseph的话为真当且仅当Joseph是骑士且Noah是无赖\np.addConstraint(lambda joseph, noah: joseph == (not noah), ['Joseph', 'Noah'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\n# 打印最终结果\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 35.585, "provider_receipts": [ { "turn": 1, "response_id": "0217853600861675e43bed6e99f957d955d5fe9d6168763122a4a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1147, "completion_tokens": 529, "total_tokens": 1676, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853600893295e43bed6e99f957d955d5fe9d6168763c2777c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1779, "completion_tokens": 1678, "total_tokens": 3457, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853600975715e43bed6e99f957d955d5fe9d6168763e2f17e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2430, "completion_tokens": 739, "total_tokens": 3169, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853601018575e43bed6e99f957d955d5fe9d6168763f1c0d0", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3054, "completion_tokens": 848, "total_tokens": 3902, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853601061415e43bed6e99f957d955d5fe9d6168763bf35a7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3678, "completion_tokens": 670, "total_tokens": 4348, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853601098995e43bed6e99f957d955d5fe9d6168763d47579", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4302, "completion_tokens": 678, "total_tokens": 4980, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853601140765e43bed6e99f957d955d5fe9d6168763f5fd7c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4926, "completion_tokens": 686, "total_tokens": 5612, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853601180775e43bed6e99f957d955d5fe9d61687632e3499", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5550, "completion_tokens": 662, "total_tokens": 6212, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "perturbed_leaf-p7-r079", "num": 7, "pred": { "Lucas": "knight", "Isabella": "knave", "James": "knave", "Ella": "knight", "Emma": "knave", "Luke": "knight", "Sofia": "knave" }, "gold": { "Lucas": "knight", "Isabella": "knave", "James": "knave", "Ella": "knave", "Emma": "knave", "Luke": "knight", "Sofia": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people7_num100.jsonl", "file_sha256": "f62b1f0c3c45e3a62660951fc12b9716679f1466bdc313066d85d08d6fe3c767", "row": 79, "dataset_index": 79 }, "codes": [ "", "from constraint import Problem\n\nvariables = ['Lucas', 'Isabella', 'James', 'Ella', 'Emma', 'Luke', 'Sofia']\n\np = Problem()\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Lucas的陈述：Luke是无赖当且仅当Luke是无赖，恒成立，所以Lucas是骑士\np.addConstraint(lambda lucas: lucas == True, ['Lucas'])\n\n# Isabella的陈述：Luke是无赖且Luke是骑士，必假，所以Isabella是无赖\np.addConstraint(lambda isabella: isabella == False, ['Isabella'])\n\n# James的陈述：如果Sofia是无赖则Lucas是无赖，即sofia or (not lucas)\np.addConstraint(lambda james, sofia, lucas: james == (sofia or (not lucas)), ['James', 'Sofia', 'Lucas'])\n\n# Ella的陈述：Isabella是骑士，Isabella是False，所以Ella是无赖\np.addConstraint(lambda ella, isabella: ella == (not isabella), ['Ella', 'Isabella'])\n\n# Emma的陈述：Lucas是无赖且Luke是骑士，Lucas是True，所以假，Emma是无赖\np.addConstraint(lambda emma, lucas, luke: emma == (not lucas and luke), ['Emma', 'Lucas', 'Luke'])\n\n# Luke的陈述：Lucas是骑士，所以Luke是骑士\np.addConstraint(lambda luke, lucas: luke == lucas, ['Luke', 'Lucas'])\n\n# Sofia的陈述：Ella是无赖当且仅当Lucas是无赖\np.addConstraint(lambda sofia, ella, lucas: sofia == (ella == (not lucas)), ['Sofia', 'Ella', 'Lucas'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nimport json\nprint(json.dumps(result))", "import json\nresult = {\"Lucas\": \"knight\", \"Isabella\": \"knave\", \"James\": \"knave\", \"Ella\": \"knight\", \"Emma\": \"knave\", \"Luke\": \"knight\", \"Sofia\": \"knave\"}\nprint(json.dumps(result))", "import json\nresult = {\"Lucas\": \"knight\", \"Isabella\": \"knave\", \"James\": \"knave\", \"Ella\": \"knight\", \"Emma\": \"knave\", \"Luke\": \"knight\", \"Sofia\": \"knave\"}\nprint(json.dumps(result))", "import json\nresult = {\"Lucas\": \"knight\", \"Isabella\": \"knave\", \"James\": \"knave\", \"Ella\": \"knight\", \"Emma\": \"knave\", \"Luke\": \"knight\", \"Sofia\": \"knave\"}\nprint(json.dumps(result))", "import json\nresult = {\"Lucas\": \"knight\", \"Isabella\": \"knave\", \"James\": \"knave\", \"Ella\": \"knight\", \"Emma\": \"knave\", \"Luke\": \"knight\", \"Sofia\": \"knave\"}\nprint(json.dumps(result))" ], "text": "{\"Lucas\": \"knight\", \"Isabella\": \"knave\", \"James\": \"knave\", \"Ella\": \"knight\", \"Emma\": \"knave\", \"Luke\": \"knight\", \"Sofia\": \"knave\"}", "used_python_constraint": true, "duration_s": 32.444, "provider_receipts": [ { "turn": 1, "response_id": "0217853601217605e43bed6e99f957d955d5fe9d61687636a85d5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1176, "completion_tokens": 703, "total_tokens": 1879, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853601257205e43bed6e99f957d955d5fe9d61687639aca4d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1991, "completion_tokens": 954, "total_tokens": 2945, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853601304705e43bed6e99f957d955d5fe9d616876333fee4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2570, "completion_tokens": 4133, "total_tokens": 6703, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853601485925e43bed6e99f957d955d5fe9d616876310b446", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2737, "completion_tokens": 194, "total_tokens": 2931, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853601499105e43bed6e99f957d955d5fe9d616876318d445", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2904, "completion_tokens": 193, "total_tokens": 3097, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853601513695e43bed6e99f957d955d5fe9d6168763251fd9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3071, "completion_tokens": 280, "total_tokens": 3351, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853601532315e43bed6e99f957d955d5fe9d6168763c5c781", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3238, "completion_tokens": 95, "total_tokens": 3333, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p7-r080", "num": 7, "pred": { "Charlotte": "knight", "Evelyn": "knight", "Olivia": "knight", "Oliver": "knave", "Riley": "knight", "Aria": "knave", "Liam": "knight" }, "gold": { "Charlotte": "knight", "Evelyn": "knave", "Olivia": "knight", "Oliver": "knave", "Riley": "knight", "Aria": "knight", "Liam": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people7_num100.jsonl", "file_sha256": "f62b1f0c3c45e3a62660951fc12b9716679f1466bdc313066d85d08d6fe3c767", "row": 80, "dataset_index": 80 }, "codes": [ "from constraint import Problem\n\n# 定义变量，True表示骑士，False表示无赖\nvariables = ['Charlotte', 'Evelyn', 'Olivia', 'Oliver', 'Riley', 'Aria', 'Liam']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# 处理Charlotte的陈述：\"If Olivia is a knave then Oliver is a knave\"，即¬Olivia → ¬Oliver，等价于Olivia ∨ ¬Oliver，用布尔表达式表示为 Charlotte == (not Olivia or not Oliver)\nproblem.addConstraint(lambda Charlotte, Olivia, Oliver: Charlotte == (not Olivia or not Oliver), ['Charlotte', 'Olivia', 'Oliver'])\n\n# 处理Evelyn的陈述：\"Charlotte is a knight and Aria is a knave\"，即Charlotte and not Aria，所以Evelyn == (Charlotte and not Aria)\nproblem.addConstraint(lambda Evelyn, Charlotte, Aria: Evelyn == (Charlotte and not Aria), ['Evelyn', 'Charlotte', 'Aria'])\n\n# 处理Olivia的陈述：\"Oliver is not a knight\"，即not Oliver，所以Olivia == (not Oliver)\nproblem.addConstraint(lambda Olivia, Oliver: Olivia == (not Oliver), ['Olivia', 'Oliver'])\n\n# 处理Oliver的陈述：\"Oliver is a knight and Evelyn is a knight\"，即Oliver and Evelyn，所以Oliver == (Oliver and Evelyn)\nproblem.addConstraint(lambda Oliver, Evelyn: Oliver == (Oliver and Evelyn), ['Oliver', 'Evelyn'])\n\n# 处理Riley的陈述：\"Charlotte is a knave if and only if Olivia is a knave\"，即(Charlotte ↔ Olivia)的否定？不，等价于 (not Charlotte) ↔ (not Olivia)，即 Charlotte == Olivia，所以Riley == (Charlotte == Olivia)\nproblem.addConstraint(lambda Riley, Charlotte, Olivia: Riley == (Charlotte == Olivia), ['Riley', 'Charlotte', 'Olivia'])\n\n# 处理Aria的陈述：\"Riley is not a knave\"，即not Riley，所以Aria == (not Riley)\nproblem.addConstraint(lambda Aria, Riley: Aria == (not Riley), ['Aria', 'Riley'])\n\n# 处理Liam的陈述：\"Liam is a knight or Riley is a knight\"，即Liam or Riley，所以Liam == (Liam or Riley)\nproblem.addConstraint(lambda Liam, Riley: Liam == (Liam or Riley), ['Liam', 'Riley'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)\n" ], "text": "{\"Charlotte\": \"knight\", \"Evelyn\": \"knight\", \"Olivia\": \"knight\", \"Oliver\": \"knave\", \"Riley\": \"knight\", \"Aria\": \"knave\", \"Liam\": \"knight\"}", "used_python_constraint": true, "duration_s": 4.865, "provider_receipts": [ { "turn": 1, "response_id": "0217853601542115e43bed6e99f957d955d5fe9d6168763b24649", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1173, "completion_tokens": 643, "total_tokens": 1816, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853601582845e43bed6e99f957d955d5fe9d6168763e46243", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1943, "completion_tokens": 88, "total_tokens": 2031, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p8-r011", "num": 8, "pred": { "Zoey": "knave", "Chloe": "knight", "Matthew": "knight", "Aurora": "knave", "Ethan": "knight", "Aiden": "knave", "Emily": "knight", "Lily": "knight" }, "gold": { "Zoey": "knave", "Chloe": "knight", "Matthew": "knight", "Aurora": "knave", "Ethan": "knight", "Aiden": "knave", "Emily": "knight", "Lily": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people8_num100.jsonl", "file_sha256": "01947375b3a16ce4fb340d6f0e1545d5aeadfc6f695c49cf2a6f436fcc5ba099", "row": 11, "dataset_index": 11 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\nvariables = ['Zoey', 'Chloe', 'Matthew', 'Aurora', 'Ethan', 'Aiden', 'Emily', 'Lily']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Zoey说：\"Aiden是骑士且Zoey是骑士\" -> Zoey == (Aiden and Zoey)\np.addConstraint(lambda zoey, aiden: zoey == (aiden and zoey), ['Zoey', 'Aiden'])\n\n# Chloe说：\"如果Matthew是骑士，那么Aiden是无赖\" -> Chloe == (not Matthew or not Aiden)\np.addConstraint(lambda chloe, matthew, aiden: chloe == (not matthew or not aiden), ['Chloe', 'Matthew', 'Aiden'])\n\n# Matthew说：\"Chloe是骑士\" -> Matthew == Chloe\np.addConstraint(lambda matthew, chloe: matthew == chloe, ['Matthew', 'Chloe'])\n\n# Aurora说：\"如果Matthew是骑士，那么Matthew是无赖\" -> Aurora == (not Matthew or not matthew) 也就是Aurora == (not Matthew)（因为not matthew or not matthew等价于not matthew）\np.addConstraint(lambda aurora, matthew: aurora == (not matthew), ['Aurora', 'Matthew'])\n\n# Ethan说：\"Aurora是无赖\" -> Ethan == (not Aurora)\np.addConstraint(lambda ethan, aurora: ethan == (not aurora), ['Ethan', 'Aurora'])\n\n# Aiden说：\"Matthew是无赖\" -> Aiden == (not Matthew)\np.addConstraint(lambda aiden, matthew: aiden == (not matthew), ['Aiden', 'Matthew'])\n\n# Emily说：\"Zoey是无赖\" -> Emily == (not Zoey)\np.addConstraint(lambda emily, zoey: emily == (not zoey), ['Emily', 'Zoey'])\n\n# Lily说：\"Emily是无赖当且仅当Aurora是骑士\" -> Lily == ((not Emily) == Aurora)\np.addConstraint(lambda lily, emily, aurora: lily == ((not emily) == aurora), ['Lily', 'Emily', 'Aurora'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)\n\nimport json\nprint(json.dumps(result, indent=4))", "# 之前的代码已经执行并得到了解，现在直接构造结果输出\nresult = {'Matthew': 'knight', 'Aiden': 'knave', 'Aurora': 'knave', 'Chloe': 'knight', 'Zoey': 'knave', 'Emily': 'knight', 'Ethan': 'knight', 'Lily': 'knight'}\nimport json\nprint(json.dumps(result, indent=4))", "result = {'Matthew': 'knight', 'Aiden': 'knave', 'Aurora': 'knave', 'Chloe': 'knight', 'Zoey': 'knave', 'Emily': 'knight', 'Ethan': 'knight', 'Lily': 'knight'}\nimport json\nprint(json.dumps(result, indent=4))" ], "text": "{\"Matthew\": \"knight\", \"Aiden\": \"knave\", \"Aurora\": \"knave\", \"Chloe\": \"knight\", \"Zoey\": \"knave\", \"Emily\": \"knight\", \"Ethan\": \"knight\", \"Lily\": \"knight\"}", "used_python_constraint": true, "duration_s": 7.479, "provider_receipts": [ { "turn": 1, "response_id": "0217853601590865e43bed6e99f957d955d5fe9d61687638e4abd", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1182, "completion_tokens": 622, "total_tokens": 1804, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853601628465e43bed6e99f957d955d5fe9d6168763a764ef", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2023, "completion_tokens": 225, "total_tokens": 2248, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853601644165e43bed6e99f957d955d5fe9d61687636bcd9a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2246, "completion_tokens": 208, "total_tokens": 2454, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853601657035e43bed6e99f957d955d5fe9d6168763cfb369", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2453, "completion_tokens": 96, "total_tokens": 2549, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_leaf-p8-r069", "num": 8, "pred": { "Isabella": "knave", "Jacob": "knight", "Jackson": "knight", "Benjamin": "knave", "Sophia": "knight", "Ava": "knight", "Ella": "knight", "Aiden": "knave" }, "gold": { "Isabella": "knave", "Jacob": "knight", "Jackson": "knight", "Benjamin": "knave", "Sophia": "knight", "Ava": "knight", "Ella": "knight", "Aiden": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_leaf", "path": "test/perturbed_leaf/people8_num100.jsonl", "file_sha256": "01947375b3a16ce4fb340d6f0e1545d5aeadfc6f695c49cf2a6f436fcc5ba099", "row": 69, "dataset_index": 69 }, "codes": [ "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Isabella', 'Jacob', 'Jackson', 'Benjamin', 'Sophia', 'Ava', 'Ella', 'Aiden']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 处理Isabella的陈述：Benjamin是knave且Jacob是knave\n# Isabella的话为真当且仅当Isabella是骑士\nproblem.addConstraint(lambda isabella, benjamin, jacob: isabella == (not benjamin and not jacob), ['Isabella', 'Benjamin', 'Jacob'])\n\n# 处理Jacob的陈述：Sophia是knight\n# Jacob的话为真当且仅当Jacob是骑士\nproblem.addConstraint(lambda jacob, sophia: jacob == sophia, ['Jacob', 'Sophia'])\n\n# 处理Jackson的陈述：Isabella是骑士当且仅当Isabella是骑士\n# 这是恒真式，所以Jackson的话恒为真，因此Jackson是骑士当且仅当他的话为真，而话恒真，所以Jackson == True\nproblem.addConstraint(lambda jackson: jackson == True, ['Jackson'])\n\n# 处理Benjamin的陈述：Sophia是knave\n# Benjamin的话为真当且仅当Benjamin是骑士\nproblem.addConstraint(lambda benjamin, sophia: benjamin == (not sophia), ['Benjamin', 'Sophia'])\n\n# 处理Sophia的陈述：如果Jackson是骑士，那么Aiden是knave\n# 逻辑表达式为Jackson -> not Aiden，等价于not Jackson or not Aiden\n# Sophia的话为真当且仅当Sophia是骑士\nproblem.addConstraint(lambda sophia, jackson, aiden: sophia == (not jackson or not aiden), ['Sophia', 'Jackson', 'Aiden'])\n\n# 处理Ava的陈述：Isabella是knave或Jacob是knave\n# Ava的话为真当且仅当Ava是骑士\nproblem.addConstraint(lambda ava, isabella, jacob: ava == (not isabella or not jacob), ['Ava', 'Isabella', 'Jacob'])\n\n# 处理Ella的陈述：如果Ava是knave，那么Jacob是knave\n# 逻辑表达式为not Ava -> not Jacob，等价于Ava or not Jacob\n# Ella的话为真当且仅当Ella是骑士\nproblem.addConstraint(lambda ella, ava, jacob: ella == (ava or not jacob), ['Ella', 'Ava', 'Jacob'])\n\n# 处理Aiden的陈述：Isabella不是knave，即Isabella是骑士\n# Aiden的话为真当且仅当Aiden是骑士\nproblem.addConstraint(lambda aiden, isabella: aiden == isabella, ['Aiden', 'Isabella'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 格式化输出结果\nfor solution in solutions:\n result = {name: 'knight' if value else 'knave' for name, value in solution.items()}\n print(result)\n", "# 之前的代码已经执行，结果已得，现在构造最终JSON输出\nsolutions = [{'Isabella': False, 'Jacob': True, 'Jackson': True, 'Benjamin': False, 'Sophia': True, 'Ava': True, 'Ella': True, 'Aiden': False}]\nfinal_result = {name: 'knight' if value else 'knave' for name, value in solutions[0].items()}\nimport json\nprint(json.dumps(final_result))" ], "text": "{\"Isabella\": \"knave\", \"Jacob\": \"knight\", \"Jackson\": \"knight\", \"Benjamin\": \"knave\", \"Sophia\": \"knight\", \"Ava\": \"knight\", \"Ella\": \"knight\", \"Aiden\": \"knave\"}", "used_python_constraint": true, "duration_s": 7.069, "provider_receipts": [ { "turn": 1, "response_id": "0217853601665725e43bed6e99f957d955d5fe9d6168763b3bb64", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1191, "completion_tokens": 732, "total_tokens": 1923, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853601712145e43bed6e99f957d955d5fe9d61687639080db", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2057, "completion_tokens": 234, "total_tokens": 2291, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853601727825e43bed6e99f957d955d5fe9d6168763e11be9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2271, "completion_tokens": 99, "total_tokens": 2370, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p2-r008", "num": 2, "pred": { "Daniel": "knight", "Mia": "knight" }, "gold": { "Daniel": "knight", "Mia": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people2_num100.jsonl", "file_sha256": "18479f9b2c327e9ce51e901479e9e7ffcd4397094e91fdca430871a3fc131fc3", "row": 8, "dataset_index": 8 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Daniel', [True, False])\np.addVariable('Mia', [True, False])\n\n# Daniel说：Mia是骑士当且仅当Daniel是骑士\n# 双条件约束：Daniel == (Mia == Daniel)\np.addConstraint(lambda daniel, mia: daniel == (mia == daniel), ['Daniel', 'Mia'])\n\n# Mia说：Mia是骑士当且仅当Daniel是骑士\n# 双条件约束：Mia == (Mia == Daniel)\np.addConstraint(lambda mia, daniel: mia == (mia == daniel), ['Mia', 'Daniel'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nfor sol in solutions:\n print({k: 'knight' if v else 'knave' for k, v in sol.items()})" ], "text": "{\"Daniel\": \"knight\", \"Mia\": \"knight\"}", "used_python_constraint": true, "duration_s": 2.594, "provider_receipts": [ { "turn": 1, "response_id": "0217853601736535e43bed6e99f957d955d5fe9d6168763c6b6ef", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1092, "completion_tokens": 237, "total_tokens": 1329, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853601756875e43bed6e99f957d955d5fe9d6168763c8eb16", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1415, "completion_tokens": 56, "total_tokens": 1471, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p2-r094", "num": 2, "pred": { "Riley": "knight", "Abigail": "knave" }, "gold": { "Riley": "knight", "Abigail": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people2_num100.jsonl", "file_sha256": "18479f9b2c327e9ce51e901479e9e7ffcd4397094e91fdca430871a3fc131fc3", "row": 94, "dataset_index": 94 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Riley', [True, False])\np.addVariable('Abigail', [True, False])\n\n# Riley说：如果Riley是骑士，那么Abigail是无赖。逻辑表达式为Riley → ¬Abigail，等价于¬Riley ∨ ¬Abigail，根据双条件规则，Riley == (¬Riley or not Abigail)\np.addConstraint(lambda riley, abigail: riley == (not riley or not abigail), ['Riley', 'Abigail'])\n\n# Abigail说：Riley是无赖。根据双条件规则，Abigail == (not Riley)\np.addConstraint(lambda abigail, riley: abigail == (not riley), ['Abigail', 'Riley'])\n\n# 寻找所有满足约束的解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nfor sol in solutions:\n result = {k:('knight' if v else 'knave') for k, v in sol.items()}\n print(result)" ], "text": "{\"Riley\": \"knight\", \"Abigail\": \"knave\"}", "used_python_constraint": true, "duration_s": 13.171, "provider_receipts": [ { "turn": 1, "response_id": "0217853601762555e43bed6e99f957d955d5fe9d61687638fa514", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1080, "completion_tokens": 261, "total_tokens": 1341, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853601781595e43bed6e99f957d955d5fe9d61687635cbfe1", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1441, "completion_tokens": 1963, "total_tokens": 3404, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853601887635e43bed6e99f957d955d5fe9d6168763857def", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1756, "completion_tokens": 65, "total_tokens": 1821, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p3-r000", "num": 3, "pred": null, "gold": { "Penelope": "knave", "David": "knave", "Zoey": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people3_num100.jsonl", "file_sha256": "cb8832b4aae19426e10a039236f0e4fb7dad797598edb3850db8067ff7cda1a6", "row": 0, "dataset_index": 0 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# 处理Penelope的陈述：David是骑士当且仅当David是无赖\np.addConstraint(lambda penelope, david: penelope == (david == not david), ['Penelope', 'David'])\n\n# 处理David的陈述：Zoey是无赖当且仅当Zoey是骑士\np.addConstraint(lambda david, zoey: david == (zoey == not zoey), ['David', 'Zoey'])\n\n# 处理Zoey的陈述：Penelope不是无赖，即Penelope是骑士\np.addConstraint(lambda zoey, penelope: zoey == penelope, ['Zoey', 'Penelope'])\n\n# 寻找所有满足约束的解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nresult = {}\nfor sol in solutions:\n result['Penelope'] = 'knight' if sol['Penelope'] else 'knave'\n result['David'] = 'knight' if sol['David'] else 'knave'\n result['Zoey'] = 'knight' if sol['Zoey'] else 'knave'\nprint(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# 处理Penelope的陈述：David是骑士当且仅当David是无赖\np.addConstraint(lambda penelope, david: penelope == (david == not david), ['Penelope', 'David'])\n\n# 处理David的陈述：Zoey是无赖当且仅当Zoey是骑士\np.addConstraint(lambda david, zoey: david == (zoey == not zoey), ['David', 'Zoey'])\n\n# 处理Zoey的陈述：Penelope不是无赖\np.addConstraint(lambda zoey, penelope: zoey == penelope, ['Zoey', 'Penelope'])\n\n# 寻找所有满足约束的解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nresult = {}\nfor sol in solutions:\n result['Penelope'] = 'knight' if sol['Penelope'] else 'knave'\n result['David'] = 'knight' if sol['David'] else 'knave'\n result['Zoey'] = 'knight' if sol['Zoey'] else 'knave'\nprint(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# 处理Penelope的陈述：David是骑士当且仅当David是无赖，即David != David，所以Penelope == False（因为David!=David恒假，所以Penelope必须是False）\np.addConstraint(lambda penelope, david: penelope == (david != david), ['Penelope', 'David'])\n\n# 处理David的陈述：Zoey是无赖当且仅当Zoey是骑士，即Zoey != Zoey，所以David == False\np.addConstraint(lambda david, zoey: david == (zoey != zoey), ['David', 'Zoey'])\n\n# 处理Zoey的陈述：Penelope不是无赖，即Penelope是骑士，所以Zoey == Penelope\np.addConstraint(lambda zoey, penelope: zoey == penelope, ['Zoey', 'Penelope'])\n\n# 寻找所有满足约束的解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nresult = {}\nfor sol in solutions:\n result['Penelope'] = 'knight' if sol['Penelope'] else 'knave'\n result['David'] = 'knight' if sol['David'] else 'knave'\n result['Zoey'] = 'knight' if sol['Zoey'] else 'knave'\nprint(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# Penelope说：David是骑士当且仅当David是无赖，即David != David，所以Penelope的条件是Penelope == (David != David)\np.addConstraint(lambda penelope, david: penelope == (david != david), ['Penelope', 'David'])\n\n# David说：Zoey是无赖当且仅当Zoey是骑士，即Zoey != Zoey，所以David的条件是David == (Zoey != Zoey)\np.addConstraint(lambda david, zoey: david == (zoey != zoey), ['David', 'Zoey'])\n\n# Zoey说：Penelope不是无赖，即Penelope是骑士，所以Zoey的条件是Zoey == Penelope\np.addConstraint(lambda zoey, penelope: zoey == penelope, ['Zoey', 'Penelope'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 格式化结果\nresult = {}\nfor sol in solutions:\n result['Penelope'] = 'knight' if sol['Penelope'] else 'knave'\n result['David'] = 'knight' if sol['David'] else 'knave'\n result['Zoey'] = 'knight' if sol['Zoey'] else 'knave'\nprint(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# Penelope的陈述：David是骑士当且仅当David是无赖，即David != David，所以Penelope == (David != David)\np.addConstraint(lambda penelope, david: penelope == (david != david), ['Penelope', 'David'])\n\n# David的陈述：Zoey是无赖当且仅当Zoey是骑士，即Zoey != Zoey，所以David == (Zoey != Zoey)\np.addConstraint(lambda david, zoey: david == (zoey != zoey), ['David', 'Zoey'])\n\n# Zoey的陈述：Penelope不是无赖，即Penelope是骑士，所以Zoey == Penelope\np.addConstraint(lambda zoey, penelope: zoey == penelope, ['Zoey', 'Penelope'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 格式化结果输出\nresult = {}\nfor sol in solutions:\n result['Penelope'] = 'knight' if sol['Penelope'] else 'knave'\n result['David'] = 'knight' if sol['David'] else 'knave'\n result['Zoey'] = 'knight' if sol['Zoey'] else 'knave'\nprint(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# Penelope的陈述：David是骑士当且仅当David是无赖，即David != David，所以Penelope == (David != David)\np.addConstraint(lambda penelope, david: penelope == (david != david), ['Penelope', 'David'])\n\n# David的陈述：Zoey是无赖当且仅当Zoey是骑士，即Zoey != Zoey，所以David == (Zoey != Zoey)\np.addConstraint(lambda david, zoey: david == (zoey != zoey), ['David', 'Zoey'])\n\n# Zoey的陈述：Penelope不是无赖，即Penelope是骑士，所以Zoey == Penelope\np.addConstraint(lambda zoey, penelope: zoey == penelope, ['Zoey', 'Penelope'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 格式化结果输出\nresult = {}\nfor sol in solutions:\n result['Penelope'] = 'knight' if sol['Penelope'] else 'knave'\n result['David'] = 'knight' if sol['David'] else 'knave'\n result['Zoey'] = 'knight' if sol['Zoey'] else 'knave'\nprint(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# 处理Penelope的陈述：David是骑士当且仅当David是无赖\np.addConstraint(lambda penelope, david: penelope == (david != david), ['Penelope', 'David'])\n\n# 处理David的陈述：Zoey是无赖当且仅当Zoey是骑士\np.addConstraint(lambda david, zoey: david == (zoey != zoey), ['David', 'Zoey'])\n\n# 处理Zoey的陈述：Penelope不是无赖\np.addConstraint(lambda zoey, penelope: zoey == penelope, ['Zoey', 'Penelope'])\n\n# 寻找所有满足约束的解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nresult = {}\nfor sol in solutions:\n result['Penelope'] = 'knight' if sol['Penelope'] else 'knave'\n result['David'] = 'knight' if sol['David'] else 'knave'\n result['Zoey'] = 'knight' if sol['Zoey'] else 'knave'\nprint(result)" ], "text": "", "used_python_constraint": true, "duration_s": 92.338, "provider_receipts": [ { "turn": 1, "response_id": "0217853601894355e43bed6e99f957d955d5fe9d61687637a1ca5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1111, "completion_tokens": 332, "total_tokens": 1443, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853601916945e43bed6e99f957d955d5fe9d6168763d90112", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 1545, "completion_tokens": 6069, "total_tokens": 7614, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853602205175e43bed6e99f957d955d5fe9d61687631f0ea5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 1997, "completion_tokens": 5444, "total_tokens": 7441, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853602466215e43bed6e99f957d955d5fe9d6168763824ddf", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2442, "completion_tokens": 4661, "total_tokens": 7103, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853602685375e43bed6e99f957d955d5fe9d61687639ef3c2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2869, "completion_tokens": 826, "total_tokens": 3695, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853602731515e43bed6e99f957d955d5fe9d6168763745fd1", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3289, "completion_tokens": 455, "total_tokens": 3744, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853602758685e43bed6e99f957d955d5fe9d6168763c3aabc", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3699, "completion_tokens": 441, "total_tokens": 4140, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853602786955e43bed6e99f957d955d5fe9d6168763e85515", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4109, "completion_tokens": 505, "total_tokens": 4614, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "perturbed_statement-p3-r024", "num": 3, "pred": null, "gold": { "Aiden": "knight", "Harper": "knight", "Emma": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people3_num100.jsonl", "file_sha256": "cb8832b4aae19426e10a039236f0e4fb7dad797598edb3850db8067ff7cda1a6", "row": 24, "dataset_index": 24 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Aiden', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Emma', [True, False])\n\n# Aiden说'Harper是骑士当且仅当Emma是无赖'\n# 逻辑表达式为：Aiden == (Harper == (not Emma))\np.addConstraint(lambda a, h, e: a == (h == (not e)), ['Aiden', 'Harper', 'Emma'])\n\n# Harper说'Emma是骑士或者Emma是无赖'\n# 因为'Emma是骑士或者Emma是无赖'是永真式，所以Harper的话恒真，即Harper == True\np.addConstraint(lambda h: h == True, ['Harper'])\n\n# Emma说'Harper是骑士当且仅当Harper是无赖'\n# 逻辑表达式为：Emma == (h == (not h))，而h == (not h)是永假式，所以Emma == False\np.addConstraint(lambda e, h: e == (h == (not h)), ['Emma', 'Harper'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Aiden', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Emma', [True, False])\n\n# Aiden说'Harper是骑士当且仅当Emma是无赖'\n# 逻辑表达式为：Aiden == (Harper == (not Emma))\np.addConstraint(lambda a, h, e: a == (h == (not e)), ['Aiden', 'Harper', 'Emma'])\n\n# Harper说'Emma是骑士或者Emma是无赖'\n# 因为'Emma是骑士或者Emma是无赖'是永真式，所以Harper的话恒真，即Harper == True\np.addConstraint(lambda h: h == True, ['Harper'])\n\n# Emma说'Harper是骑士当且仅当Harper是无赖'\n# 逻辑表达式为：Emma == (h == (not h))，而h == (not h)是永假式，所以Emma == False\np.addConstraint(lambda e, h: e == (h == (not h)), ['Emma', 'Harper'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()}}", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Aiden', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Emma', [True, False])\n\n# Aiden说'Harper是骑士当且仅当Emma是无赖'\n# 逻辑表达式为：Aiden == (Harper == (not Emma))\np.addConstraint(lambda a, h, e: a == (h == (not e)), ['Aiden', 'Harper', 'Emma'])\n\n# Harper说'Emma是骑士或者Emma是无赖'\n# 因为'Emma是骑士或者Emma是无赖'是永真式，所以Harper的话恒真，即Harper == True\np.addConstraint(lambda h: h == True, ['Harper'])\n\n# Emma说'Harper是骑士当且仅当Harper是无赖'\n# 逻辑表达式为：Emma == (h == (not h))，而h == (not h)是永假式，所以Emma == False\np.addConstraint(lambda e, h: e == (h == (not h)), ['Emma', 'Harper'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k, v in sol.items()}", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Aiden', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Emma', [True, False])\n\n# Aiden说'Harper是骑士当且仅当Emma是无赖'\n# 逻辑表达式为：Aiden == (Harper == (not Emma))\np.addConstraint(lambda a, h, e: a == (h == (not e)), ['Aiden', 'Harper', 'Emma'])\n\n# Harper说'Emma是骑士或者Emma是无赖'\n# 因为'Emma是骑士或者Emma是无赖'是永真式，所以Harper的话恒真，即Harper == True\np.addConstraint(lambda h: h == True, ['Harper'])\n\n# Emma说'Harper是骑士当且仅当Harper是无赖'\n# 逻辑表达式为：Emma == (h == (not h))，而h == (not h)是永假式，所以Emma == False\np.addConstraint(lambda e, h: e == (h == (not h)), ['Emma', 'Harper'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Aiden', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Emma', [True, False])\n\n# Aiden说'Harper是骑士当且仅当Emma是无赖'\n# 逻辑表达式为：Aiden == (Harper == (not Emma))\np.addConstraint(lambda a, h, e: a == (h == (not e)), ['Aiden', 'Harper', 'Emma'])\n\n# Harper说'Emma是骑士或者Emma是无赖'\n# 因为'Emma是骑士或者Emma是无赖'是永真式，所以Harper的话恒真，即Harper == True\np.addConstraint(lambda h: h == True, ['Harper'])\n\n# Emma说'Harper是骑士当且仅当Harper是无赖'\n# 逻辑表达式为：Emma == (h == (not h))，而h == (not h)是永假式，所以Emma == False\np.addConstraint(lambda e, h: e == (h == (not h)), ['Emma', 'Harper'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Aiden', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Emma', [True, False])\n\n# Aiden说'Harper是骑士当且仅当Emma是无赖'\n# 逻辑表达式为：Aiden == (Harper == (not Emma))\np.addConstraint(lambda a, h, e: a == (h == (not e)), ['Aiden', 'Harper', 'Emma'])\n\n# Harper说'Emma是骑士或者Emma是无赖'\n# 因为'Emma是骑士或者Emma是无赖'是永真式，所以Harper的话恒真，即Harper == True\np.addConstraint(lambda h: h == True, ['Harper'])\n\n# Emma说'Harper是骑士当且仅当Harper是无赖'\n# 逻辑表达式为：Emma == (h == (not h))，而h == (not h)是永假式，所以Emma == False\np.addConstraint(lambda e, h: e == (h == (not h)), ['Emma', 'Harper'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Aiden', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Emma', [True, False])\n\n# Aiden说'Harper是骑士当且仅当Emma是无赖'\n# 逻辑表达式为：Aiden == (Harper == (not Emma))\np.addConstraint(lambda a, h, e: a == (h == (not e)), ['Aiden', 'Harper', 'Emma'])\n\n# Harper说'Emma是骑士或者Emma是无赖'\n# 因为'Emma是骑士或者Emma是无赖'是永真式，所以Harper的话恒真，即Harper == True\np.addConstraint(lambda h: h == True, ['Harper'])\n\n# Emma说'Harper是骑士当且仅当Harper是无赖'\n# 逻辑表达式为：Emma == (h == (not h))，而h == (not h)是永假式，所以Emma == False\np.addConstraint(lambda e, h: e == (h == (not h)), ['Emma', 'Harper'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Aiden', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Emma', [True, False])\n\n# Aiden说'Harper是骑士当且仅当Emma是无赖'\n# 逻辑表达式为：Aiden == (Harper == (not Emma))\np.addConstraint(lambda a, h, e: a == (h == (not e)), ['Aiden', 'Harper', 'Emma'])\n\n# Harper说'Emma是骑士或者Emma是无赖'\n# 因为'Emma是骑士或者Emma是无赖'是永真式，所以Harper的话恒真，即Harper == True\np.addConstraint(lambda h: h == True, ['Harper'])\n\n# Emma说'Harper是骑士当且仅当Harper是无赖'\n# 逻辑表达式为：Emma == (h == (not h))，而h == (not h)是永假式，所以Emma == False\np.addConstraint(lambda e, h: e == (h == (not h)), ['Emma', 'Harper'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)" ], "text": "", "used_python_constraint": true, "duration_s": 29.154, "provider_receipts": [ { "turn": 1, "response_id": "0217853602817835e43bed6e99f957d955d5fe9d61687636c9106", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1115, "completion_tokens": 344, "total_tokens": 1459, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853602842985e43bed6e99f957d955d5fe9d6168763c5081a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1552, "completion_tokens": 436, "total_tokens": 1988, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853602872075e43bed6e99f957d955d5fe9d6168763b0684e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2023, "completion_tokens": 779, "total_tokens": 2802, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853602909655e43bed6e99f957d955d5fe9d6168763e95857", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2488, "completion_tokens": 1892, "total_tokens": 4380, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853603000635e43bed6e99f957d955d5fe9d6168763e7be9e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2891, "completion_tokens": 436, "total_tokens": 3327, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853603027275e43bed6e99f957d955d5fe9d61687637d4271", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3294, "completion_tokens": 437, "total_tokens": 3731, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853603053185e43bed6e99f957d955d5fe9d6168763cbea4b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3697, "completion_tokens": 456, "total_tokens": 4153, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853603080555e43bed6e99f957d955d5fe9d6168763f2bc7f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4100, "completion_tokens": 442, "total_tokens": 4542, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "perturbed_statement-p4-r027", "num": 4, "pred": { "Victoria": "knave", "Lucas": "knight", "Oliver": "knave", "Harper": "knave" }, "gold": { "Victoria": "knave", "Lucas": "knight", "Oliver": "knave", "Harper": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people4_num100.jsonl", "file_sha256": "ec8821279ff09db70098b97c5b47f452f2b9a6059b3d32ff22c9fce8342e4c30", "row": 27, "dataset_index": 27 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Victoria', [True, False])\np.addVariable('Lucas', [True, False])\np.addVariable('Oliver', [True, False])\np.addVariable('Harper', [True, False])\n\n# Victoria说：\"Lucas是无赖且Harper是骑士\"，根据规则，Victoria == (Lucas是无赖且Harper是骑士)\ndef victoria_constraint(victoria, lucas, harper):\n return victoria == (not lucas and harper)\np.addConstraint(victoria_constraint, ['Victoria', 'Lucas', 'Harper'])\n\n# Lucas说：\"Harper是无赖\"，所以Lucas == (Harper是无赖)\ndef lucas_constraint(lucas, harper):\n return lucas == (not harper)\np.addConstraint(lucas_constraint, ['Lucas', 'Harper'])\n\n# Oliver说：\"Lucas是无赖或者Victoria是骑士\"，所以Oliver == (Lucas是无赖 or Victoria是骑士)\ndef oliver_constraint(oliver, lucas, victoria):\n return oliver == (not lucas or victoria)\np.addConstraint(oliver_constraint, ['Oliver', 'Lucas', 'Victoria'])\n\n# Harper说：\"Harper是骑士当且仅当Oliver是无赖\"，即Harper == (Harper是骑士 <-> Oliver是无赖)，等价于Harper == (harper == not oliver)\ndef harper_constraint(harper, oliver):\n return harper == (harper == not oliver)\np.addConstraint(harper_constraint, ['Harper', 'Oliver'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor solution in solutions:\n print({k: 'knight' if v else 'knave' for k, v in solution.items()})", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Victoria', [True, False])\np.addVariable('Lucas', [True, False])\np.addVariable('Oliver', [True, False])\np.addVariable('Harper', [True, False])\n\n# Victoria说：\"Lucas是无赖且Harper是骑士\"，根据规则，Victoria == (Lucas是无赖且Harper是骑士)\ndef victoria_constraint(victoria, lucas, harper):\n return victoria == (not lucas and harper)\np.addConstraint(victoria_constraint, ['Victoria', 'Lucas', 'Harper'])\n\n# Lucas说：\"Harper是无赖\"，所以Lucas == (Harper是无赖)\ndef lucas_constraint(lucas, harper):\n return lucas == (not harper)\np.addConstraint(lucas_constraint, ['Lucas', 'Harper'])\n\n# Oliver说：\"Lucas是无赖或者Victoria是骑士\"，所以Oliver == (Lucas是无赖 or Victoria是骑士)\ndef oliver_constraint(oliver, lucas, victoria):\n return oliver == (not lucas or victoria)\np.addConstraint(oliver_constraint, ['Oliver', 'Lucas', 'Victoria'])\n\n# Harper说：\"Harper是骑士当且仅当Oliver是无赖\"，即harper等价于(harper ↔ not oliver)\ndef harper_constraint(harper, oliver):\n return harper == ((harper and not oliver) or (not harper and oliver))\np.addConstraint(harper_constraint, ['Harper', 'Oliver'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor solution in solutions:\n print({k: 'knight' if v else 'knave' for k, v in solution.items()})", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Victoria', [True, False])\np.addVariable('Lucas', [True, False])\np.addVariable('Oliver', [True, False])\np.addVariable('Harper', [True, False])\n\n# Victoria说：\"Lucas是无赖且Harper是骑士\"，根据规则，Victoria == (Lucas是无赖且Harper是骑士)\ndef victoria_constraint(victoria, lucas, harper):\n return victoria == (not lucas and harper)\np.addConstraint(victoria_constraint, ['Victoria', 'Lucas', 'Harper'])\n\n# Lucas说：\"Harper是无赖\"，所以Lucas == (Harper是无赖)\ndef lucas_constraint(lucas, harper):\n return lucas == (not harper)\np.addConstraint(lucas_constraint, ['Lucas', 'Harper'])\n\n# Oliver说：\"Lucas是无赖或者Victoria是骑士\"，所以Oliver == (Lucas是无赖 or Victoria是骑士)\ndef oliver_constraint(oliver, lucas, victoria):\n return oliver == (not lucas or victoria)\np.addConstraint(oliver_constraint, ['Oliver', 'Lucas', 'Victoria'])\n\n# Harper说：\"Harper是骑士当且仅当Oliver是无赖\"，即harper等价于(harper ↔ not oliver)\ndef harper_constraint(harper, oliver):\n return harper == ((harper and not oliver) or (not harper and oliver))\np.addConstraint(harper_constraint, ['Harper', 'Oliver'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nresults = []\nfor solution in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in solution.items()}\n results.append(result)\n\n# 这里直接取第一个解（通常唯一解）\nfinal_result = results[0]\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Victoria', [True, False])\np.addVariable('Lucas', [True, False])\np.addVariable('Oliver', [True, False])\np.addVariable('Harper', [True, False])\n\n# Victoria说：\"Lucas是无赖且Harper是骑士\"，根据规则，Victoria == (Lucas是无赖且Harper是骑士)\ndef victoria_constraint(victoria, lucas, harper):\n return victoria == (not lucas and harper)\np.addConstraint(victoria_constraint, ['Victoria', 'Lucas', 'Harper'])\n\n# Lucas说：\"Harper是无赖\"，所以Lucas == (Harper是无赖)\ndef lucas_constraint(lucas, harper):\n return lucas == (not harper)\np.addConstraint(lucas_constraint, ['Lucas', 'Harper'])\n\n# Oliver说：\"Lucas是无赖或者Victoria是骑士\"，所以Oliver == (Lucas是无赖 or Victoria是骑士)\ndef oliver_constraint(oliver, lucas, victoria):\n return oliver == (not lucas or victoria)\np.addConstraint(oliver_constraint, ['Oliver', 'Lucas', 'Victoria'])\n\n# Harper说：\"Harper是骑士当且仅当Oliver是无赖\"，即harper等价于(harper ↔ not oliver)\ndef harper_constraint(harper, oliver):\n return harper == ((harper and not oliver) or (not harper and oliver))\np.addConstraint(harper_constraint, ['Harper', 'Oliver'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 提取结果\nresult = {}\nfor sol in solutions:\n result['Victoria'] = 'knight' if sol['Victoria'] else 'knave'\n result['Lucas'] = 'knight' if sol['Lucas'] else 'knave'\n result['Oliver'] = 'knight' if sol['Oliver'] else 'knave'\n result['Harper'] = 'knight' if sol['Harper'] else 'knave'\n\nprint(result)" ], "text": "{\"Victoria\": \"knave\", \"Lucas\": \"knight\", \"Oliver\": \"knave\", \"Harper\": \"knave\"}", "used_python_constraint": true, "duration_s": 16.635, "provider_receipts": [ { "turn": 1, "response_id": "0217853603109435e43bed6e99f957d955d5fe9d616876398ec04", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1116, "completion_tokens": 471, "total_tokens": 1587, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853603139755e43bed6e99f957d955d5fe9d61687634d3605", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1731, "completion_tokens": 788, "total_tokens": 2519, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853603186275e43bed6e99f957d955d5fe9d61687633356a3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2253, "completion_tokens": 679, "total_tokens": 2932, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853603226145e43bed6e99f957d955d5fe9d61687635612bb", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2815, "completion_tokens": 641, "total_tokens": 3456, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853603267775e43bed6e99f957d955d5fe9d61687636ef80a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3409, "completion_tokens": 87, "total_tokens": 3496, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p4-r028", "num": 4, "pred": null, "gold": { "Daniel": "knave", "David": "knave", "Victoria": "knave", "Mason": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people4_num100.jsonl", "file_sha256": "ec8821279ff09db70098b97c5b47f452f2b9a6059b3d32ff22c9fce8342e4c30", "row": 28, "dataset_index": 28 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True为骑士，False为无赖\np.addVariable('Daniel', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Victoria', [True, False])\np.addVariable('Mason', [True, False])\n\n# Daniel说\"Mason是无赖且David是无赖\"，所以Daniel == (not Mason and not David)\ndef daniel_constraint(daniel, mason, david):\n return daniel == (not mason and not david)\np.addConstraint(daniel_constraint, ['Daniel', 'Mason', 'David'])\n\n# David说\"Victoria是骑士且Victoria是无赖\"，这句话为假，所以David == (not Victoria)\ndef david_constraint(david, victoria):\n return david == (not victoria)\np.addConstraint(david_constraint, ['David', 'Victoria'])\n\n# Victoria说\"Daniel是骑士\"，所以Victoria == Daniel\ndef victoria_constraint(victoria, daniel):\n return victoria == daniel\np.addConstraint(victoria_constraint, ['Victoria', 'Daniel'])\n\n# Mason说\"Mason是骑士或Daniel是骑士\"，所以Mason == (mason or daniel)\ndef mason_constraint(mason, daniel):\n return mason == (mason or daniel)\np.addConstraint(mason_constraint, ['Mason', 'Daniel'])\n\n# 求解所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True为骑士，False为无赖\np.addVariable('Daniel', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Victoria', [True, False])\np.addVariable('Mason', [True, False])\n\n# Daniel说\"Mason是无赖且David是无赖\"，约束：Daniel == (not Mason and not David)\ndef daniel_constraint(daniel, mason, david):\n return daniel == (not mason and not david)\np.addConstraint(daniel_constraint, ['Daniel', 'Mason', 'David'])\n\n# David说\"Victoria是骑士且Victoria是无赖\"，其话为假，所以David == False\ndef david_constraint(david):\n return david == False\np.addConstraint(david_constraint, ['David'])\n\n# Victoria说\"Daniel是骑士\"，约束：Victoria == Daniel\ndef victoria_constraint(victoria, daniel):\n return victoria == daniel\np.addConstraint(victoria_constraint, ['Victoria', 'Daniel'])\n\n# Mason说\"Mason是骑士或Daniel是骑士\"，约束：Mason == (mason or daniel)\ndef mason_constraint(mason, daniel):\n return mason == (mason or daniel)\np.addConstraint(mason_constraint, ['Mason', 'Daniel'])\n\n# 求解所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Daniel', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Victoria', [True, False])\np.addVariable('Mason', [True, False])\n\n# Daniel的陈述：Mason是无赖且David是无赖，所以Daniel == (not Mason and not David)\ndef daniel_constraint(daniel, mason, david):\n return daniel == (not mason and not david)\np.addConstraint(daniel_constraint, ['Daniel', 'Mason', 'David'])\n\n# David的陈述：Victoria是骑士且Victoria是无赖，这句话为假，所以David == False\ndef david_constraint(david):\n return david == False\np.addConstraint(david_constraint, ['David'])\n\n# Victoria的陈述：Daniel是骑士，所以Victoria == Daniel\ndef victoria_constraint(victoria, daniel):\n return victoria == daniel\np.addConstraint(victoria_constraint, ['Victoria', 'Daniel'])\n\n# Mason的陈述：Mason是骑士或Daniel是骑士，所以Mason == (mason or daniel)\ndef mason_constraint(mason, daniel):\n return mason == (mason or daniel)\np.addConstraint(mason_constraint, ['Mason', 'Daniel'])\n\n# 求解所有解\n solutions = p.getSolutions()\n\n# 格式化输出结果\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True为骑士，False为无赖\np.addVariable('Daniel', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Victoria', [True, False])\np.addVariable('Mason', [True, False])\n\n# Daniel说\"Mason是无赖且David是无赖\"，所以Daniel == (not Mason and not David)\ndef daniel_constraint(daniel, mason, david):\n return daniel == (not mason and not david)\np.addConstraint(daniel_constraint, ['Daniel', 'Mason', 'David'])\n\n# David说\"Victoria是骑士且Victoria是无赖\"，这句话为假，所以David == False\ndef david_constraint(david):\n return david == False\np.addConstraint(david_constraint, ['David'])\n\n# Victoria说\"Daniel是骑士\"，所以Victoria == Daniel\ndef victoria_constraint(victoria, daniel):\n return victoria == daniel\np.addConstraint(victoria_constraint, ['Victoria', 'Daniel'])\n\n# Mason说\"Mason是骑士或Daniel是骑士\"，所以Mason == (mason or daniel)\ndef mason_constraint(mason, daniel):\n return mason == (mason or daniel)\np.addConstraint(mason_constraint, ['Mason', 'Daniel'])\n\n# 求解所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True为骑士，False为无赖\np.addVariable('Daniel', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Victoria', [True, False])\np.addVariable('Mason', [True, False])\n\n# Daniel说\"Mason是无赖且David是无赖\"，约束：Daniel == (not Mason and not David)\ndef daniel_constraint(daniel, mason, david):\n return daniel == (not mason and not david)\np.addConstraint(daniel_constraint, ['Daniel', 'Mason', 'David'])\n\n# David说\"Victoria是骑士且Victoria是无赖\"，其话为假，所以David == False\ndef david_constraint(david):\n return david == False\np.addConstraint(david_constraint, ['David'])\n\n# Victoria说\"Daniel是骑士\"，约束：Victoria == Daniel\ndef victoria_constraint(victoria, daniel):\n return victoria == daniel\np.addConstraint(victoria_constraint, ['Victoria', 'Daniel'])\n\n# Mason说\"Mason是骑士或Daniel是骑士\"，约束：Mason == (mason or daniel)\ndef mason_constraint(mason, daniel):\n return mason == (mason or daniel)\np.addConstraint(mason_constraint, ['Mason', 'Daniel'])\n\n# 求解所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nresult = {}\nfor sol in solutions:\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n\n# 打印最终结果\nprint(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True为骑士，False为无赖\np.addVariable('Daniel', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Victoria', [True, False])\np.addVariable('Mason', [True, False])\n\n# Daniel说\"Mason是无赖且David是无赖\"，约束：Daniel == (not Mason and not David)\ndef daniel_constraint(daniel, mason, david):\n return daniel == (not mason and not david)\np.addConstraint(daniel_constraint, ['Daniel', 'Mason', 'David'])\n\n# David说\"Victoria是骑士且Victoria是无赖\"，其话为假，所以David == False\ndef david_constraint(david):\n return david == False\np.addConstraint(david_constraint, ['David'])\n\n# Victoria说\"Daniel是骑士\"，约束：Victoria == Daniel\ndef victoria_constraint(victoria, daniel):\n return victoria == daniel\np.addConstraint(victoria_constraint, ['Victoria', 'Daniel'])\n\n# Mason说\"Mason是骑士或Daniel是骑士\"，约束：Mason == (mason or daniel)\ndef mason_constraint(mason, daniel):\n return mason == (mason or daniel)\np.addConstraint(mason_constraint, ['Mason', 'Daniel'])\n\n# 求解所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nfinal_result = {}\nfor sol in solutions:\n for name, is_knight in sol.items():\n final_result[name] = 'knight' if is_knight else 'knave'\n\n# 打印最终结果\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True为骑士，False为无赖\np.addVariable('Daniel', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Victoria', [True, False])\np.addVariable('Mason', [True, False])\n\n# Daniel说\"Mason是无赖且David是无赖\"，约束：Daniel == (not Mason and not David)\ndef daniel_constraint(daniel, mason, david):\n return daniel == (not mason and not david)\np.addConstraint(daniel_constraint, ['Daniel', 'Mason', 'David'])\n\n# David说\"Victoria是骑士且Victoria是无赖\"，其话为假，所以David == False\ndef david_constraint(david):\n return david == False\np.addConstraint(david_constraint, ['David'])\n\n# Victoria说\"Daniel是骑士\"，约束：Victoria == Daniel\ndef victoria_constraint(victoria, daniel):\n return victoria == daniel\np.addConstraint(victoria_constraint, ['Victoria', 'Daniel'])\n\n# Mason说\"Mason是骑士或Daniel是骑士\"，约束：Mason == (mason or daniel)\ndef mason_constraint(mason, daniel):\n return mason == (mason or daniel)\np.addConstraint(mason_constraint, ['Mason', 'Daniel'])\n\n# 求解所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nfinal_result = {}\nfor sol in solutions:\n for name, is_knight in sol.items():\n final_result[name] = 'knight' if is_knight else 'knave'\n\n# 打印最终结果\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 71.524, "provider_receipts": [ { "turn": 1, "response_id": "0217853603275905e43bed6e99f957d955d5fe9d61687633b1b34", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1121, "completion_tokens": 551, "total_tokens": 1672, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853603313365e43bed6e99f957d955d5fe9d616876360955e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1775, "completion_tokens": 999, "total_tokens": 2774, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853603370455e43bed6e99f957d955d5fe9d61687632880a0", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2279, "completion_tokens": 4574, "total_tokens": 6853, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853603621835e43bed6e99f957d955d5fe9d6168763582f2c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2749, "completion_tokens": 4279, "total_tokens": 7028, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853603827565e43bed6e99f957d955d5fe9d6168763e0e56f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3255, "completion_tokens": 1378, "total_tokens": 4633, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853603893225e43bed6e99f957d955d5fe9d6168763340029", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3721, "completion_tokens": 522, "total_tokens": 4243, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853603922145e43bed6e99f957d955d5fe9d6168763e2f4f5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4196, "completion_tokens": 528, "total_tokens": 4724, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853603955615e43bed6e99f957d955d5fe9d6168763b49969", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4674, "completion_tokens": 533, "total_tokens": 5207, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "perturbed_statement-p5-r095", "num": 5, "pred": null, "gold": { "Jackson": "knight", "Ella": "knight", "Alexander": "knave", "Chloe": "knight", "Emma": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people5_num100.jsonl", "file_sha256": "791a14c3a7fea7713904786cdbd24ccc94901c0508c1ed3daf5abe3794857ed4", "row": 95, "dataset_index": 95 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Jackson', 'Ella', 'Alexander', 'Chloe', 'Emma'], [True, False])\n\n# Jackson 说：Chloe 不是 knave（即 Chloe 是骑士）\n# 所以 Jackson == (Chloe 是骑士)，即 Jackson == Chloe\np.addConstraint(lambda jackson, chloe: jackson == chloe, ['Jackson', 'Chloe'])\n\n# Ella 说：Alexander 是 knave 或者 Ella 是 knight\n# 即 (not Alexander) or Ella，根据双条件，Ella == ((not Alexander) or Ella)\n# 化简：(not Alexander) or Ella 等价于 True，因为 E || (not A) 等价于 E || (not A)，而根据双条件，E == (E || (not Alexander))\n# 其实更直接的是 Ella 的话是 (not Alexander) or Ella，所以约束为 Ella == ((not Alexander) or Ella)\n# 这个式子恒成立？不对，重新来：Ella的陈述是“Alexander是knave或者Ella是knight”，即 (not Alexander) | Ella。根据双条件，Ella == ( (not Alexander) | Ella )\n# 化简：Ella == ( (not Alexander) | Ella )\n# 移项得：Ella & (not ( (not Alexander) | Ella )) == False\n# 展开：Ella & ( Alexander & (not Ella) ) == False\n# 即 Ella & Alexander & (not Ella) == False → 恒成立？这说明我之前的方法错了。重新来：正确的双条件是 Ella的布尔值等于她的陈述的真值。她的陈述是“Alexander是knave或者Ella是knight”，即 (not Alexander) or Ella。所以约束是 Ella == ( (not Alexander) or Ella )\n# 这个式子等价于 True，因为如果Ella是骑士，那么(not Alexander) or Ella为真，等式成立；如果Ella是无赖，那么(not Alexander) or Ella为假，等式也成立？不对，这显然有问题。哦，我犯了错误。正确的双条件应该是：Ella是骑士当且仅当她的陈述为真。她的陈述是“Alexander是knave或者Ella是knight”。用逻辑表达式：陈述为真当且仅当 (not Alexander) ∨ Ella 为真。所以约束是 Ella == ( (not Alexander) or Ella )\n# 我们可以用逻辑等价来化简：(not Alexander) or Ella 等价于 True，因为 E ∨ (¬A) 等价于 E ∨ ¬A，而Ella的布尔值E等于E∨¬A。那这个约束其实是恒成立的？这说明我哪里理解错了。哦，不，重新来：假设Ella是骑士（E=True），那么她的陈述必须为真，即“Alexander是knave或者Ella是knight”为真。因为E是True，所以整个式子为真，符合。如果Ella是无赖（E=False），那么她的陈述必须为假，即“Alexander是knave或者Ella是knight”为假。那么它的否定是“Alexander不是knave且Ella不是knight”，即 Alexander是骑士且Ella是无赖。所以当E=False时，约束是 False == ( (not Alexander) or False ) → False == (not Alexander) → Alexander是True。所以正确的约束应该是：Ella == ( (not Alexander) or Ella )\n# 另一种方式，用逻辑表达式：Ella的陈述是 (¬Alexander) ∨ Ella，所以约束是 Ella ↔ (¬Alexander ∨ Ella)\n# 我们可以用约束函数来表示：lambda ella, alexander: ella == ( (not alexander) or ella )\np.addConstraint(lambda ella, alexander: ella == ( (not alexander) or ella ), ['Ella', 'Alexander'])\n\n# Alexander 说：Emma是骑士当且仅当 Jackson是knave\n# 即 Emma ↔ (¬Jackson)，所以约束是 Alexander == ( Emma == (not Jackson) )\np.addConstraint(lambda alexander, emma, jackson: alexander == (emma == (not jackson)), ['Alexander', 'Emma', 'Jackson'])\n\n# Chloe 说：如果 Jackson是knave，那么 Alexander是骑士\n# 即 ¬Jackson → Alexander，根据双条件，Chloe == ( ¬Jackson → Alexander )\n# ¬Jackson → Alexander 等价于 Jackson ∨ Alexander，所以约束是 Chloe == ( (not jackson) → alexander ) → Chloe == ( jackson or alexander )\np.addConstraint(lambda chloe, jackson, alexander: chloe == ( (not jackson) → alexander ), ['Chloe', 'Jackson', 'Alexander'])\n# 用Python的逻辑，(not jackson) → alexander 等价于 jackson or alexander，所以约束是 chloe == (jackson or alexander)\n\n# Emma 说：如果 Ella是knave，那么 Alexander是骑士\n# 即 ¬Ella → Alexander，根据双条件，Emma == ( ¬Ella → Alexander )\n# ¬Ella → Alexander 等价于 Ella ∨ Alexander，所以约束是 Emma == ( (not ella) → alexander ) → Emma == ( ella or alexander )\np.addConstraint(lambda emma, ella, alexander: emma == ( (not ella) → alexander ), ['Emma', 'Ella', 'Alexander'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)\n\n", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Jackson', 'Ella', 'Alexander', 'Chloe', 'Emma'], [True, False])\n\n# Jackson 说：Chloe 不是 knave（即 Chloe 是骑士），所以 Jackson == Chloe\np.addConstraint(lambda jackson, chloe: jackson == chloe, ['Jackson', 'Chloe'])\n\n# Ella 说：Alexander 是 knave 或者 Ella 是 knight，即 (not Alexander) or Ella，约束 Ella == (not Alexander or Ella)\np.addConstraint(lambda ella, alexander: ella == (not alexander or ella), ['Ella', 'Alexander'])\n\n# Alexander 说：Emma 是骑士当且仅当 Jackson 是 knave，即 Emma == (not Jackson)，所以 Alexander == (emma == (not jackson))\np.addConstraint(lambda alexander, emma, jackson: alexander == (emma == (not jackson)), ['Alexander', 'Emma', 'Jackson'])\n\n# Chloe 说：如果 Jackson 是 knave，那么 Alexander 是骑士，即 (not Jackson) -> Alexander，等价于 Jackson or Alexander，所以 Chloe == (not jackson or alexander)\np.addConstraint(lambda chloe, jackson, alexander: chloe == (not jackson or alexander), ['Chloe', 'Jackson', 'Alexander'])\n\n# Emma 说：如果 Ella 是 knave，那么 Alexander 是骑士，即 (not Ella) -> Alexander，等价于 Ella or alexander，所以 Emma == (not ella or alexander)\np.addConstraint(lambda emma, ella, alexander: emma == (not ella or alexander), ['Emma', 'Ella', 'Alexander'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Jackson', 'Ella', 'Alexander', 'Chloe', 'Emma'], [True, False])\n\n# Jackson 说：Chloe 不是 knave（即 Chloe 是骑士），所以 Jackson == Chloe\np.addConstraint(lambda jackson, chloe: jackson == chloe, ['Jackson', 'Chloe'])\n\n# Ella 说：Alexander 是 knave 或者 Ella 是 knight，即 (not Alexander) or Ella，约束 Ella == (not Alexander or Ella)\np.addConstraint(lambda ella, alexander: ella == (not alexander or ella), ['Ella', 'Alexander'])\n\n# Alexander 说：Emma 是骑士当且仅当 Jackson 是 knave，即 Emma == (not Jackson)，所以 Alexander == (emma == (not jackson))\np.addConstraint(lambda alexander, emma, jackson: alexander == (emma == (not jackson)), ['Alexander', 'Emma', 'Jackson'])\n\n# Chloe 说：如果 Jackson 是 knave，那么 Alexander 是骑士，即 (not Jackson) -> Alexander，等价于 Jackson or Alexander，所以 Chloe == (not jackson or alexander)\np.addConstraint(lambda chloe, jackson, alexander: chloe == (not jackson or alexander), ['Chloe', 'Jackson', 'Alexander'])\n\n# Emma 说：如果 Ella 是 knave，那么 Alexander 是骑士，即 (not Ella) -> Alexander，等价于 Ella or alexander，所以 Emma == (not ella or alexander)\np.addConstraint(lambda emma, ella, alexander: emma == (not ella or alexander), ['Emma', 'Ella', 'Alexander'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Jackson', 'Ella', 'Alexander', 'Chloe', 'Emma'], [True, False])\n\n# Jackson 说：Chloe 不是 knave（即 Chloe 是骑士），所以 Jackson == Chloe\np.addConstraint(lambda jackson, chloe: jackson == chloe, ['Jackson', 'Chloe'])\n\n# Ella 说：Alexander 是 knave 或者 Ella 是 knight，即 (not Alexander) or Ella，约束 Ella == (not Alexander or Ella)\np.addConstraint(lambda ella, alexander: ella == (not alexander or ella), ['Ella', 'Alexander'])\n\n# Alexander 说：Emma 是骑士当且仅当 Jackson 是 knave，即 Emma == (not Jackson)，所以 Alexander == (emma == (not jackson))\np.addConstraint(lambda alexander, emma, jackson: alexander == (emma == (not jackson)), ['Alexander', 'Emma', 'Jackson'])\n\n# Chloe 说：如果 Jackson 是 knave，那么 Alexander 是骑士，即 (not Jackson) -> Alexander，等价于 Jackson or Alexander，所以 Chloe == (not jackson or alexander)\np.addConstraint(lambda chloe, jackson, alexander: chloe == (not jackson or alexander), ['Chloe', 'Jackson', 'Alexander'])\n\n# Emma 说：如果 Ella 是 knave，那么 Alexander 是骑士，即 (not Ella) -> Alexander，等价于 Ella or alexander，所以 Emma == (not ella or alexander)\np.addConstraint(lambda emma, ella, alexander: emma == (not ella or alexander), ['Emma', 'Ella', 'Alexander'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Jackson', 'Ella', 'Alexander', 'Chloe', 'Emma'], [True, False])\n\n# Jackson 说：Chloe 不是 knave（即 Chloe 是骑士），所以 Jackson == Chloe\np.addConstraint(lambda jackson, chloe: jackson == chloe, ['Jackson', 'Chloe'])\n\n# Ella 说：Alexander 是 knave 或者 Ella 是 knight，即 Ella == (not Alexander or Ella)\np.addConstraint(lambda ella, alexander: ella == (not alexander or ella), ['Ella', 'Alexander'])\n\n# Alexander 说：Emma 是骑士当且仅当 Jackson 是 knave，即 Alexander == (emma == (not jackson))\np.addConstraint(lambda alexander, emma, jackson: alexander == (emma == (not jackson)), ['Alexander', 'Emma', 'Jackson'])\n\n# Chloe 说：如果 Jackson 是 knave，那么 Alexander 是骑士，即 Chloe == (not jackson or alexander)\np.addConstraint(lambda chloe, jackson, alexander: chloe == (not jackson or alexander), ['Chloe', 'Jackson', 'Alexander'])\n\n# Emma 说：如果 Ella 是 knave，那么 Alexander 是骑士，即 Emma == (not ella or alexander)\np.addConstraint(lambda emma, ella, alexander: emma == (not ella or alexander), ['Emma', 'Ella', 'Alexander'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)" ], "text": "", "used_python_constraint": true, "duration_s": 70.634, "provider_receipts": [ { "turn": 1, "response_id": "0217853603991225e43bed6e99f957d955d5fe9d6168763dcb7fa", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1140, "completion_tokens": 1332, "total_tokens": 2472, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853604075435e43bed6e99f957d955d5fe9d6168763b8e1f7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2655, "completion_tokens": 1402, "total_tokens": 4057, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853604150675e43bed6e99f957d955d5fe9d61687632cf1e0", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 3173, "completion_tokens": 4793, "total_tokens": 7966, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853604384775e43bed6e99f957d955d5fe9d6168763981963", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3692, "completion_tokens": 1069, "total_tokens": 4761, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853604451275e43bed6e99f957d955d5fe9d61687636846f8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 4210, "completion_tokens": 4097, "total_tokens": 8307, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853604661715e43bed6e99f957d955d5fe9d6168763c6f371", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 5339, "completion_tokens": 556, "total_tokens": 5895, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p5-r099", "num": 5, "pred": null, "gold": { "Alexander": "knave", "Luke": "knight", "Jackson": "knight", "Charlotte": "knight", "Harper": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people5_num100.jsonl", "file_sha256": "791a14c3a7fea7713904786cdbd24ccc94901c0508c1ed3daf5abe3794857ed4", "row": 99, "dataset_index": 99 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Alexander', 'Luke', 'Jackson', 'Charlotte', 'Harper'], [True, False])\n\n# Alexander说'Harper不是骑士'，所以Alexander == (Harper为False)\ndef alexander_constraint(alexander, harper):\n return alexander == (not harper)\np.addConstraint(alexander_constraint, ['Alexander', 'Harper'])\n\n# Luke说'如果Luke是骑士，那么Charlotte是骑士'，即Luke -> Charlotte，逻辑上等价于not Luke or Charlotte\ndef luke_constraint(luke, charlotte):\n return luke == (not luke or charlotte)\np.addConstraint(luke_constraint, ['Luke', 'Charlotte'])\n\n# Jackson说'Luke是骑士或者Harper是无赖'，即Luke or not Harper\ndef jackson_constraint(jackson, luke, harper):\n return jackson == (luke or not harper)\np.addConstraint(jackson_constraint, ['Jackson', 'Luke', 'Harper'])\n\n# Charlotte说'Charlotte是骑士'，即Charlotte == Charlotte，恒成立？不，应该是Charlotte == Charlotte为真，所以Charlotte的约束是Charlotte == Charlotte？不，不对。正确的是Charlotte的陈述是'Charlotte是骑士'，所以Charlotte的布尔值等于她的陈述为真，即Charlotte == True\ndef charlotte_constraint(charlotte):\n return charlotte == True\np.addConstraint(charlotte_constraint, ['Charlotte'])\n\n# Harper说'Harper是骑士或者Jackson是骑士'，即Harper or Jackson\ndef harper_constraint(harper, jackson):\n return harper == (harper or jackson)\np.addConstraint(harper_constraint, ['Harper', 'Jackson'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)\n\n", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Alexander', 'Luke', 'Jackson', 'Charlotte', 'Harper'], [True, False])\n\n# Alexander说'Harper不是骑士'，所以Alexander == (Harper为False)\ndef alexander_constraint(alexander, harper):\n return alexander == (not harper)\np.addConstraint(alexander_constraint, ['Alexander', 'Harper'])\n\n# Luke说'如果Luke是骑士，那么Charlotte是骑士'，即Luke -> Charlotte，逻辑上等价于not Luke or Charlotte\ndef luke_constraint(luke, charlotte):\n return luke == (not luke or charlotte)\np.addConstraint(luke_constraint, ['Luke', 'Charlotte'])\n\n# Jackson说'Luke是骑士或者Harper是无赖'，即Luke or not Harper\ndef jackson_constraint(jackson, luke, harper):\n return jackson == (luke or not harper)\np.addConstraint(jackson_constraint, ['Jackson', 'Luke', 'Harper'])\n\n# Charlotte说'Charlotte是骑士'，即Charlotte == True\ndef charlotte_constraint(charlotte):\n return charlotte == True\np.addConstraint(charlotte_constraint, ['Charlotte'])\n\n# Harper说'Harper是骑士或者Jackson是骑士'，即Harper or Jackson\ndef harper_constraint(harper, jackson):\n return harper == (harper or jackson)\np.addConstraint(harper_constraint, ['Harper', 'Jackson'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)\n\n", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Alexander', 'Luke', 'Jackson', 'Charlotte', 'Harper'], [True, False])\n\n# Alexander说'Harper不是骑士'，所以Alexander == (Harper为False)\ndef alexander_constraint(alexander, harper):\n return alexander == (not harper)\np.addConstraint(alexander_constraint, ['Alexander', 'Harper'])\n\n# Luke说'如果Luke是骑士，那么Charlotte是骑士'，即Luke -> Charlotte，逻辑上等价于not Luke or Charlotte\ndef luke_constraint(luke, charlotte):\n return luke == (not luke or charlotte)\np.addConstraint(luke_constraint, ['Luke', 'Charlotte'])\n\n# Jackson说'Luke是骑士或者Harper是无赖'，即Luke or not Harper\ndef jackson_constraint(jackson, luke, harper):\n return jackson == (luke or not harper)\np.addConstraint(jackson_constraint, ['Jackson', 'Luke', 'Harper'])\n\n# Charlotte说'Charlotte是骑士'，即Charlotte == True\ndef charlotte_constraint(charlotte):\n return charlotte == True\np.addConstraint(charlotte_constraint, ['Charlotte'])\n\n# Harper说'Harper是骑士或者Jackson是骑士'，即Harper or Jackson\ndef harper_constraint(harper, jackson):\n return harper == (harper or jackson)\np.addConstraint(harper_constraint, ['Harper', 'Jackson'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)\n\n", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Alexander', 'Luke', 'Jackson', 'Charlotte', 'Harper'], [True, False])\n\n# Alexander说'Harper不是骑士'，所以Alexander == (Harper为False)\ndef alexander_constraint(alexander, harper):\n return alexander == (not harper)\np.addConstraint(alexander_constraint, ['Alexander', 'Harper'])\n\n# Luke说'如果Luke是骑士，那么Charlotte是骑士'，即Luke -> Charlotte，逻辑上等价于not Luke or Charlotte\ndef luke_constraint(luke, charlotte):\n return luke == (not luke or charlotte)\np.addConstraint(luke_constraint, ['Luke', 'Charlotte'])\n\n# Jackson说'Luke是骑士或者Harper是无赖'，即Luke or not Harper\ndef jackson_constraint(jackson, luke, harper):\n return jackson == (luke or not harper)\np.addConstraint(jackson_constraint, ['Jackson', 'Luke', 'Harper'])\n\n# Charlotte说'Charlotte是骑士'，即Charlotte == True\ndef charlotte_constraint(charlotte):\n return charlotte == True\np.addConstraint(charlotte_constraint, ['Charlotte'])\n\n# Harper说'Harper是骑士或者Jackson是骑士'，即Harper or Jackson\ndef harper_constraint(harper, jackson):\n return harper == (harper or jackson)\np.addConstraint(harper_constraint, ['Harper', 'Jackson'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)\n\n", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Alexander', 'Luke', 'Jackson', 'Charlotte', 'Harper'], [True, False])\n\n# Alexander说'Harper不是骑士'，所以Alexander == (Harper为False)\ndef alexander_constraint(alexander, harper):\n return alexander == (not harper)\np.addConstraint(alexander_constraint, ['Alexander', 'Harper'])\n\n# Luke说'如果Luke是骑士，那么Charlotte是骑士'，即Luke -> Charlotte，逻辑上等价于not Luke or Charlotte\ndef luke_constraint(luke, charlotte):\n return luke == (not luke or charlotte)\np.addConstraint(luke_constraint, ['Luke', 'Charlotte'])\n\n# Jackson说'Luke是骑士或者Harper是无赖'，即Luke or not Harper\ndef jackson_constraint(jackson, luke, harper):\n return jackson == (luke or not harper)\np.addConstraint(jackson_constraint, ['Jackson', 'Luke', 'Harper'])\n\n# Charlotte说'Charlotte是骑士'，即Charlotte == True\ndef charlotte_constraint(charlotte):\n return charlotte == True\np.addConstraint(charlotte_constraint, ['Charlotte'])\n\n# Harper说'Harper是骑士或者Jackson是骑士'，即Harper or Jackson\ndef harper_constraint(harper, jackson):\n return harper == (harper or jackson)\np.addConstraint(harper_constraint, ['Harper', 'Jackson'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)\n\n", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Alexander', 'Luke', 'Jackson', 'Charlotte', 'Harper'], [True, False])\n\n# Alexander说'Harper不是骑士'，所以Alexander == (Harper为False)\ndef alexander_constraint(alexander, harper):\n return alexander == (not harper)\np.addConstraint(alexander_constraint, ['Alexander', 'Harper'])\n\n# Luke说'如果Luke是骑士，那么Charlotte是骑士'，即Luke -> Charlotte，逻辑上等价于not Luke or Charlotte\ndef luke_constraint(luke, charlotte):\n return luke == (not luke or charlotte)\np.addConstraint(luke_constraint, ['Luke', 'Charlotte'])\n\n# Jackson说'Luke是骑士或者Harper是无赖'，即Luke or not Harper\ndef jackson_constraint(jackson, luke, harper):\n return jackson == (luke or not harper)\np.addConstraint(jackson_constraint, ['Jackson', 'Luke', 'Harper'])\n\n# Charlotte说'Charlotte是骑士'，即Charlotte == True\ndef charlotte_constraint(charlotte):\n return charlotte == True\np.addConstraint(charlotte_constraint, ['Charlotte'])\n\n# Harper说'Harper是骑士或者Jackson是骑士'，即Harper or Jackson\ndef harper_constraint(harper, jackson):\n return harper == (harper or jackson)\np.addConstraint(harper_constraint, ['Harper', 'Jackson'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Alexander'] = 'knight' if sol['Alexander'] else 'knave'\n final_result['Luke'] = 'knight' if sol['Luke'] else 'knave'\n final_result['Jackson'] = 'knight' if sol['Jackson'] else 'knave'\n final_result['Charlotte'] = 'knight' if sol['Charlotte'] else 'knave'\n final_result['Harper'] = 'knight' if sol['Harper'] else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Alexander', 'Luke', 'Jackson', 'Charlotte', 'Harper'], [True, False])\n\n# Alexander说'Harper不是骑士'，所以Alexander == (Harper为False)\ndef alexander_constraint(alexander, harper):\n return alexander == (not harper)\np.addConstraint(alexander_constraint, ['Alexander', 'Harper'])\n\n# Luke说'如果Luke是骑士，那么Charlotte是骑士'，即Luke -> Charlotte，逻辑上等价于not Luke or Charlotte\ndef luke_constraint(luke, charlotte):\n return luke == (not luke or charlotte)\np.addConstraint(luke_constraint, ['Luke', 'Charlotte'])\n\n# Jackson说'Luke是骑士或者Harper是无赖'，即Luke or not Harper\ndef jackson_constraint(jackson, luke, harper):\n return jackson == (luke or not harper)\np.addConstraint(jackson_constraint, ['Jackson', 'Luke', 'Harper'])\n\n# Charlotte说'Charlotte是骑士'，即Charlotte == True\ndef charlotte_constraint(charlotte):\n return charlotte == True\np.addConstraint(charlotte_constraint, ['Charlotte'])\n\n# Harper说'Harper是骑士或者Jackson是骑士'，即Harper or Jackson\ndef harper_constraint(harper, jackson):\n return harper == (harper or jackson)\np.addConstraint(harper_constraint, ['Harper', 'Jackson'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Alexander'] = 'knight' if sol['Alexander'] else 'knave'\n final_result['Luke'] = 'knight' if sol['Luke'] else 'knave'\n final_result['Jackson'] = 'knight' if sol['Jackson'] else 'knave'\n final_result['Charlotte'] = 'knight' if sol['Charlotte'] else 'knave'\n final_result['Harper'] = 'knight' if sol['Harper'] else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Alexander', 'Luke', 'Jackson', 'Charlotte', 'Harper'], [True, False])\n\n# Alexander说'Harper不是骑士'，所以Alexander == (Harper为False)\ndef alexander_constraint(alexander, harper):\n return alexander == (not harper)\np.addConstraint(alexander_constraint, ['Alexander', 'Harper'])\n\n# Luke说'如果Luke是骑士，那么Charlotte是骑士'，即Luke -> Charlotte，逻辑上等价于not Luke or Charlotte\ndef luke_constraint(luke, charlotte):\n return luke == (not luke or charlotte)\np.addConstraint(luke_constraint, ['Luke', 'Charlotte'])\n\n# Jackson说'Luke是骑士或者Harper是无赖'，即Luke or not Harper\ndef jackson_constraint(jackson, luke, harper):\n return jackson == (luke or not harper)\np.addConstraint(jackson_constraint, ['Jackson', 'Luke', 'Harper'])\n\n# Charlotte说'Charlotte是骑士'，即Charlotte == True\ndef charlotte_constraint(charlotte):\n return charlotte == True\np.addConstraint(charlotte_constraint, ['Charlotte'])\n\n# Harper说'Harper是骑士或者Jackson是骑士'，即Harper or Jackson\ndef harper_constraint(harper, jackson):\n return harper == (harper or jackson)\np.addConstraint(harper_constraint, ['Harper', 'Jackson'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Alexander'] = 'knight' if sol['Alexander'] else 'knave'\n final_result['Luke'] = 'knight' if sol['Luke'] else 'knave'\n final_result['Jackson'] = 'knight' if sol['Jackson'] else 'knave'\n final_result['Charlotte'] = 'knight' if sol['Charlotte'] else 'knave'\n final_result['Harper'] = 'knight' if sol['Harper'] else 'knave'\n\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 29.196, "provider_receipts": [ { "turn": 1, "response_id": "0217853604697635e43bed6e99f957d955d5fe9d6168763db5ea7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1127, "completion_tokens": 504, "total_tokens": 1631, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853604733595e43bed6e99f957d955d5fe9d6168763978b34", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1739, "completion_tokens": 529, "total_tokens": 2268, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853604766395e43bed6e99f957d955d5fe9d6168763ee01c4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2254, "completion_tokens": 543, "total_tokens": 2797, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853604800085e43bed6e99f957d955d5fe9d6168763905c6a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2769, "completion_tokens": 555, "total_tokens": 3324, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853604836765e43bed6e99f957d955d5fe9d61687633321ee", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3284, "completion_tokens": 540, "total_tokens": 3824, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853604873885e43bed6e99f957d955d5fe9d6168763791dc9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3799, "completion_tokens": 636, "total_tokens": 4435, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853604913075e43bed6e99f957d955d5fe9d61687632a1d6a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4404, "completion_tokens": 633, "total_tokens": 5037, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853604952265e43bed6e99f957d955d5fe9d61687631ac821", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5009, "completion_tokens": 632, "total_tokens": 5641, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "perturbed_statement-p6-r047", "num": 6, "pred": { "Noah": "knight", "Charlotte": "knight", "Lily": "knight", "Samuel": "knight", "Owen": "knight", "Grace": "knave" }, "gold": { "Noah": "knight", "Charlotte": "knight", "Lily": "knight", "Samuel": "knight", "Owen": "knight", "Grace": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people6_num100.jsonl", "file_sha256": "afadf008aa8aba0753bb198baca07ea51ebd9879045b619861225eea56559134", "row": 47, "dataset_index": 47 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Noah', 'Charlotte', 'Lily', 'Samuel', 'Owen', 'Grace']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 诺亚说：Lily是骑士或者Charlotte是无赖\nproblem.addConstraint(lambda noah, lily, charlotte: noah == (lily or not charlotte), ['Noah', 'Lily', 'Charlotte'])\n\n# 夏洛特说：如果Lily是骑士，那么Noah是骑士\nproblem.addConstraint(lambda charlotte, lily, noah: charlotte == (not lily or noah), ['Charlotte', 'Lily', 'Noah'])\n\n# 莉莉说：如果Samuel是骑士，那么Lily是骑士\nproblem.addConstraint(lambda lily, samuel: lily == (not samuel or lily), ['Lily', 'Samuel'])\n\n# 塞缪尔说：Lily是骑士\nproblem.addConstraint(lambda samuel, lily: samuel == lily, ['Samuel', 'Lily'])\n\n# 欧文说：Noah是骑士或者Lily是骑士\nproblem.addConstraint(lambda owen, noah, lily: owen == (noah or lily), ['Owen', 'Noah', 'Lily'])\n\n# 格蕾丝说：Lily是骑士并且Samuel是无赖\nproblem.addConstraint(lambda grace, lily, samuel: grace == (lily and not samuel), ['Grace', 'Lily', 'Samuel'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Noah', 'Charlotte', 'Lily', 'Samuel', 'Owen', 'Grace']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 诺亚说：Lily是骑士或者Charlotte是无赖\nproblem.addConstraint(lambda noah, lily, charlotte: noah == (lily or not charlotte), ['Noah', 'Lily', 'Charlotte'])\n\n# 夏洛特说：如果Lily是骑士，那么Noah是骑士\nproblem.addConstraint(lambda charlotte, lily, noah: charlotte == (not lily or noah), ['Charlotte', 'Lily', 'Noah'])\n\n# 莉莉说：如果Samuel是骑士，那么Lily是骑士\nproblem.addConstraint(lambda lily, samuel: lily == (not samuel or lily), ['Lily', 'Samuel'])\n\n# 塞缪尔说：Lily是骑士\nproblem.addConstraint(lambda samuel, lily: samuel == lily, ['Samuel', 'Lily'])\n\n# 欧文说：Noah是骑士或者Lily是骑士\nproblem.addConstraint(lambda owen, noah, lily: owen == (noah or lily), ['Owen', 'Noah', 'Lily'])\n\n# 格蕾丝说：Lily是骑士并且Samuel是无赖\nproblem.addConstraint(lambda grace, lily, samuel: grace == (lily and not samuel), ['Grace', 'Lily', 'Samuel'])\n\nsolutions = problem.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nimport json\nprint(json.dumps(final_result, indent=4))", "import json\nfinal_result = {\"Lily\": \"knight\", \"Samuel\": \"knight\", \"Noah\": \"knight\", \"Charlotte\": \"knight\", \"Grace\": \"knave\", \"Owen\": \"knight\"}\nprint(json.dumps(final_result, indent=4))", "import json\nfinal_result = {\"Lily\": \"knight\", \"Samuel\": \"knight\", \"Noah\": \"knight\", \"Charlotte\": \"knight\", \"Grace\": \"knave\", \"Owen\": \"knight\"}\nprint(json.dumps(final_result, indent=4))" ], "text": "{\"Lily\": \"knight\", \"Samuel\": \"knight\", \"Noah\": \"knight\", \"Charlotte\": \"knight\", \"Grace\": \"knave\", \"Owen\": \"knight\"}", "used_python_constraint": true, "duration_s": 17.846, "provider_receipts": [ { "turn": 1, "response_id": "0217853604989675e43bed6e99f957d955d5fe9d6168763ef5e11", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1145, "completion_tokens": 551, "total_tokens": 1696, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853605020785e43bed6e99f957d955d5fe9d616876381e666", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1814, "completion_tokens": 1486, "total_tokens": 3300, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853605095875e43bed6e99f957d955d5fe9d6168763c1949b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2304, "completion_tokens": 535, "total_tokens": 2839, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853605131435e43bed6e99f957d955d5fe9d61687631aa44b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2827, "completion_tokens": 268, "total_tokens": 3095, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853605148575e43bed6e99f957d955d5fe9d61687633877cf", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2997, "completion_tokens": 182, "total_tokens": 3179, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853605159785e43bed6e99f957d955d5fe9d61687631e8e1a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3167, "completion_tokens": 83, "total_tokens": 3250, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p6-r052", "num": 6, "pred": { "Emily": "knight", "Noah": "knave", "Sophia": "knight", "Olivia": "knight", "Avery": "knight", "Grace": "knave" }, "gold": { "Emily": "knave", "Noah": "knave", "Sophia": "knave", "Olivia": "knight", "Avery": "knave", "Grace": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people6_num100.jsonl", "file_sha256": "afadf008aa8aba0753bb198baca07ea51ebd9879045b619861225eea56559134", "row": 52, "dataset_index": 52 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\nresidents = ['Emily', 'Noah', 'Sophia', 'Olivia', 'Avery', 'Grace']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Emily: If Avery is a knave then Noah is a knight -> Avery or Noah\np.addConstraint(lambda avery, noah: avery or noah, ['Avery', 'Noah'])\n\n# Noah: Olivia is a knight and Grace is a knave -> Olivia and not Grace\np.addConstraint(lambda olivia, grace: olivia and (not grace), ['Olivia', 'Grace'])\n\n# Sophia: Grace is a knave and Olivia is a knight -> not Grace and Olivia\np.addConstraint(lambda grace, olivia: (not grace) and olivia, ['Grace', 'Olivia'])\n\n# Olivia: Noah is not a knight -> not Noah\np.addConstraint(lambda noah: not noah, ['Noah'])\n\n# Avery: Grace is not a knight -> not Grace\np.addConstraint(lambda grace: not grace, ['Grace'])\n\n# Grace: If Olivia is a knave then Avery is a knave -> Olivia or not Avery\np.addConstraint(lambda olivia, avery: olivia or (not avery), ['Olivia', 'Avery'])\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\nresidents = ['Emily', 'Noah', 'Sophia', 'Olivia', 'Avery', 'Grace']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Emily的陈述：如果Avery是无赖则Noah是骑士，即Avery∨Noah\np.addConstraint(lambda avery, noah: avery or noah, ['Avery', 'Noah'])\n\n# Noah的陈述：Olivia是骑士且Grace是无赖，即Olivia and not Grace\np.addConstraint(lambda olivia, grace: olivia and (not grace), ['Olivia', 'Grace'])\n\n# Sophia的陈述：Grace是无赖且Olivia是骑士，即not Grace and Olivia\np.addConstraint(lambda grace, olivia: (not grace) and olivia, ['Grace', 'Olivia'])\n\n# Olivia的陈述：Noah不是骑士，即not Noah\np.addConstraint(lambda noah: not noah, ['Noah'])\n\n# Avery的陈述：Grace不是骑士，即not Grace\np.addConstraint(lambda grace: not grace, ['Grace'])\n\n# Grace的陈述：如果Olivia是无赖则Avery是无赖，即Olivia or not Avery\np.addConstraint(lambda olivia, avery: olivia or (not avery), ['Olivia', 'Avery'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nimport json\nprint(json.dumps(result, indent=4))" ], "text": "{\"Olivia\": \"knight\", \"Grace\": \"knave\", \"Avery\": \"knight\", \"Noah\": \"knave\", \"Emily\": \"knight\", \"Sophia\": \"knight\"}", "used_python_constraint": true, "duration_s": 46.794, "provider_receipts": [ { "turn": 1, "response_id": "0217853605168215e43bed6e99f957d955d5fe9d61687632ca9eb", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1152, "completion_tokens": 479, "total_tokens": 1631, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853605198725e43bed6e99f957d955d5fe9d61687632c01fb", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1743, "completion_tokens": 645, "total_tokens": 2388, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853605233295e43bed6e99f957d955d5fe9d616876326d95d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2326, "completion_tokens": 7669, "total_tokens": 9995, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853605626805e43bed6e99f957d955d5fe9d6168763e47cfb", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2812, "completion_tokens": 127, "total_tokens": 2939, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p7-r015", "num": 7, "pred": null, "gold": { "Emma": "knave", "Zoey": "knight", "David": "knight", "Jack": "knight", "Amelia": "knave", "Logan": "knave", "Abigail": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people7_num100.jsonl", "file_sha256": "bd3900ae3527887659a1a0da1146780e0a47e4d96ff301e1c2039f35bcfff849", "row": 15, "dataset_index": 15 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n\npeople = ['Emma', 'Zoey', 'David', 'Jack', 'Amelia', 'Logan', 'Abigail']\nfor person in people:\n p.addVariable(person, [True, False])\n\n# 艾玛：David不是骑士\ndef emma_constr(emma, david):\n return emma == (not david)\np.addConstraint(emma_constr, ['Emma', 'David'])\n\n# 佐伊：如果Abigail是骑士那么Jack是无赖\ndef zoey_constr(zoey, abigail, jack):\n return zoey == (not abigail or not jack)\np.addConstraint(zoey_constr, ['Zoey', 'Abigail', 'Jack'])\n\n# 大卫：如果Jack是无赖那么Jack是骑士\ndef david_constr(david, jack):\n return david == jack\np.addConstraint(david_constr, ['David', 'Jack'])\n\n# 杰克：如果Zoey是无赖那么David是无赖\ndef jack_constr(jack, zoey, david):\n return jack == (not zoey or not david)\np.addConstraint(jack_constr, ['Jack', 'Zoey', 'David'])\n\n# 阿米莉亚：Abigail是无赖当且仅当Zoey是无赖\ndef amelia_constr(amelia, abigail, zoey):\n return amelia == (abigail == zoey)\np.addConstraint(amelia_constr, ['Amelia', 'Abigail', 'Zoey'])\n\n# 洛根：Jack是骑士当且仅当Amelia是骑士\ndef logan_constr(logan, jack, amelia):\n return logan == (jack == amelia)\np.addConstraint(logan_constr, ['Logan', 'Jack', 'Amelia'])\n\n# 阿比盖尔：David是骑士且Abigail是骑士\ndef abigail_constr(abigail, david):\n return abigail == (david and abigail)\np.addConstraint(abigail_constr, ['Abigail', 'David'])\n\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n res = {}\n for person, val in sol.items():\n res[person] = 'knight' if val else 'knave'\n print(res)", "from constraint import Problem\n\np = Problem()\n\npeople = ['Emma', 'Zoey', 'David', 'Jack', 'Amelia', 'Logan', 'Abigail']\nfor person in people:\n p.addVariable(person, [True, False])\n\n# 艾玛：David不是骑士\ndef emma_constr(emma, david):\n return emma == (not david)\np.addConstraint(emma_constr, ['Emma', 'David'])\n\n# 佐伊：如果Abigail是骑士那么Jack是无赖\ndef zoey_constr(zoey, abigail, jack):\n return zoey == (not abigail or not jack)\np.addConstraint(zoey_constr, ['Zoey', 'Abigail', 'Jack'])\n\n# 大卫：如果Jack是无赖那么Jack是骑士\ndef david_constr(david, jack):\n return david == jack\np.addConstraint(david_constr, ['David', 'Jack'])\n\n# 杰克：如果Zoey是无赖那么David是无赖\ndef jack_constr(jack, zoey, david):\n return jack == (not zoey or not david)\np.addConstraint(jack_constr, ['Jack', 'Zoey', 'David'])\n\n# 阿米莉亚：Abigail是无赖当且仅当Zoey是无赖\ndef amelia_constr(amelia, abigail, zoey):\n return amelia == (abigail == zoey)\np.addConstraint(amelia_constr, ['Amelia', 'Abigail', 'Zoey'])\n\n# 洛根：Jack是骑士当且仅当Amelia是骑士\ndef logan_constr(logan, jack, amelia):\n return logan == (jack == amelia)\np.addConstraint(logan_constr, ['Logan', 'Jack', 'Amelia'])\n\n# 阿比盖尔：David是骑士且Abigail是骑士\ndef abigail_constr(abigail, david):\n return abigail == (david and abigail)\np.addConstraint(abigail_constr, ['Abigail', 'David'])\n\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for person, val in sol.items():\n result[person] = 'knight' if val else 'knave'\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n\npeople = ['Emma', 'Zoey', 'David', 'Jack', 'Amelia', 'Logan', 'Abigail']\nfor person in people:\n p.addVariable(person, [True, False])\n\n# 艾玛：David不是骑士\ndef emma_constr(emma, david):\n return emma == (not david)\np.addConstraint(emma_constr, ['Emma', 'David'])\n\n# 佐伊：如果Abigail是骑士那么Jack是无赖\ndef zoey_constr(zoey, abigail, jack):\n return zoey == (not abigail or not jack)\np.addConstraint(zoey_constr, ['Zoey', 'Abigail', 'Jack'])\n\n# 大卫：如果Jack是无赖那么Jack是骑士\ndef david_constr(david, jack):\n return david == jack\np.addConstraint(david_constr, ['David', 'Jack'])\n\n# 杰克：如果Zoey是无赖那么David是无赖\ndef jack_constr(jack, zoey, david):\n return jack == (not zoey or not david)\np.addConstraint(jack_constr, ['Jack', 'Zoey', 'David'])\n\n# 阿米莉亚：Abigail是无赖当且仅当Zoey是无赖\ndef amelia_constr(amelia, abigail, zoey):\n return amelia == (abigail == zoey)\np.addConstraint(amelia_constr, ['Amelia', 'Abigail', 'Zoey'])\n\n# 洛根：Jack是骑士当且仅当Amelia是骑士\ndef logan_constr(logan, jack, amelia):\n return logan == (jack == amelia)\np.addConstraint(logan_constr, ['Logan', 'Jack', 'Amelia'])\n\n# 阿比盖尔：David是骑士且Abigail是骑士\ndef abigail_constr(abigail, david):\n return abigail == (david and abigail)\np.addConstraint(abigail_constr, ['Abigail', 'David'])\n\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for person, val in sol.items():\n result[person] = 'knight' if val else 'knave'\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n\npeople = ['Emma', 'Zoey', 'David', 'Jack', 'Amelia', 'Logan', 'Abigail']\nfor person in people:\n p.addVariable(person, [True, False])\n\n# 艾玛：David不是骑士\ndef emma_constr(emma, david):\n return emma == (not david)\np.addConstraint(emma_constr, ['Emma', 'David'])\n\n# 佐伊：如果Abigail是骑士那么Jack是无赖\ndef zoey_constr(zoey, abigail, jack):\n return zoey == (not abigail or not jack)\np.addConstraint(zoey_constr, ['Zoey', 'Abigail', 'Jack'])\n\n# 大卫：如果Jack是无赖那么Jack是骑士\ndef david_constr(david, jack):\n return david == jack\np.addConstraint(david_constr, ['David', 'Jack'])\n\n# 杰克：如果Zoey是无赖那么David是无赖\ndef jack_constr(jack, zoey, david):\n return jack == (not zoey or not david)\np.addConstraint(jack_constr, ['Jack', 'Zoey', 'David'])\n\n# 阿米莉亚：Abigail是无赖当且仅当Zoey是无赖\ndef amelia_constr(amelia, abigail, zoey):\n return amelia == (abigail == zoey)\np.addConstraint(amelia_constr, ['Amelia', 'Abigail', 'Zoey'])\n\n# 洛根：Jack是骑士当且仅当Amelia是骑士\ndef logan_constr(logan, jack, amelia):\n return logan == (jack == amelia)\np.addConstraint(logan_constr, ['Logan', 'Jack', 'Amelia'])\n\n# 阿比盖尔：David是骑士且Abigail是骑士\ndef abigail_constr(abigail, david):\n return abigail == (david and abigail)\np.addConstraint(abigail_constr, ['Abigail', 'David'])\n\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for person, val in sol.items():\n result[person] = 'knight' if val else 'knave'\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n\npeople = ['Emma', 'Zoey', 'David', 'Jack', 'Amelia', 'Logan', 'Abigail']\nfor person in people:\n p.addVariable(person, [True, False])\n\n# 艾玛：David不是骑士\ndef emma_constr(emma, david):\n return emma == (not david)\np.addConstraint(emma_constr, ['Emma', 'David'])\n\n# 佐伊：如果Abigail是骑士那么Jack是无赖\ndef zoey_constr(zoey, abigail, jack):\n return zoey == (not abigail or not jack)\np.addConstraint(zoey_constr, ['Zoey', 'Abigail', 'Jack'])\n\n# 大卫：如果Jack是无赖那么Jack是骑士\ndef david_constr(david, jack):\n return david == jack\np.addConstraint(david_constr, ['David', 'Jack'])\n\n# 杰克：如果Zoey是无赖那么David是无赖\ndef jack_constr(jack, zoey, david):\n return jack == (not zoey or not david)\np.addConstraint(jack_constr, ['Jack', 'Zoey', 'David'])\n\n# 阿米莉亚：Abigail是无赖当且仅当Zoey是无赖\ndef amelia_constr(amelia, abigail, zoey):\n return amelia == (abigail == zoey)\np.addConstraint(amelia_constr, ['Amelia', 'Abigail', 'Zoey'])\n\n# 洛根：Jack是骑士当且仅当Amelia是骑士\ndef logan_constr(logan, jack, amelia):\n return logan == (jack == amelia)\np.addConstraint(logan_constr, ['Logan', 'Jack', 'Amelia'])\n\n# 阿比盖尔：David是骑士且Abigail是骑士\ndef abigail_constr(abigail, david):\n return abigail == (david and abigail)\np.addConstraint(abigail_constr, ['Abigail', 'David'])\n\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for person, val in sol.items():\n result[person] = 'knight' if val else 'knave'\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n\npeople = ['Emma', 'Zoey', 'David', 'Jack', 'Amelia', 'Logan', 'Abigail']\nfor person in people:\n p.addVariable(person, [True, False])\n\n# 艾玛：David不是骑士\ndef emma_constr(emma, david):\n return emma == (not david)\np.addConstraint(emma_constr, ['Emma', 'David'])\n\n# 佐伊：如果Abigail是骑士那么Jack是无赖\ndef zoey_constr(zoey, abigail, jack):\n return zoey == (not abigail or not jack)\np.addConstraint(zoey_constr, ['Zoey', 'Abigail', 'Jack'])\n\n# 大卫：如果Jack是无赖那么Jack是骑士\ndef david_constr(david, jack):\n return david == jack\np.addConstraint(david_constr, ['David', 'Jack'])\n\n# 杰克：如果Zoey是无赖那么David是无赖\ndef jack_constr(jack, zoey, david):\n return jack == (not zoey or not david)\np.addConstraint(jack_constr, ['Jack', 'Zoey', 'David'])\n\n# 阿米莉亚：Abigail是无赖当且仅当Zoey是无赖\ndef amelia_constr(amelia, abigail, zoey):\n return amelia == (abigail == zoey)\np.addConstraint(amelia_constr, ['Amelia', 'Abigail', 'Zoey'])\n\n# 洛根：Jack是骑士当且仅当Amelia是骑士\ndef logan_constr(logan, jack, amelia):\n return logan == (jack == amelia)\np.addConstraint(logan_constr, ['Logan', 'Jack', 'Amelia'])\n\n# 阿比盖尔：David是骑士且Abigail是骑士\ndef abigail_constr(abigail, david):\n return abigail == (david and abigail)\np.addConstraint(abigail_constr, ['Abigail', 'David'])\n\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for person, val in sol.items():\n result[person] = 'knight' if val else 'knave'\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n\npeople = ['Emma', 'Zoey', 'David', 'Jack', 'Amelia', 'Logan', 'Abigail']\nfor person in people:\n p.addVariable(person, [True, False])\n\n# 艾玛：David不是骑士\ndef emma_constr(emma, david):\n return emma == (not david)\np.addConstraint(emma_constr, ['Emma', 'David'])\n\n# 佐伊：如果Abigail是骑士那么Jack是无赖\ndef zoey_constr(zoey, abigail, jack):\n return zoey == (not abigail or not jack)\np.addConstraint(zoey_constr, ['Zoey', 'Abigail', 'Jack'])\n\n# 大卫：如果Jack是无赖那么Jack是骑士\ndef david_constr(david, jack):\n return david == jack\np.addConstraint(david_constr, ['David', 'Jack'])\n\n# 杰克：如果Zoey是无赖那么David是无赖\ndef jack_constr(jack, zoey, david):\n return jack == (not zoey or not david)\np.addConstraint(jack_constr, ['Jack', 'Zoey', 'David'])\n\n# 阿米莉亚：Abigail是无赖当且仅当Zoey是无赖\ndef amelia_constr(amelia, abigail, zoey):\n return amelia == (abigail == zoey)\np.addConstraint(amelia_constr, ['Amelia', 'Abigail', 'Zoey'])\n\n# 洛根：Jack是骑士当且仅当Amelia是骑士\ndef logan_constr(logan, jack, amelia):\n return logan == (jack == amelia)\np.addConstraint(logan_constr, ['Logan', 'Jack', 'Amelia'])\n\n# 阿比盖尔：David是骑士且Abigail是骑士\ndef abigail_constr(abigail, david):\n return abigail == (david and abigail)\np.addConstraint(abigail_constr, ['Abigail', 'David'])\n\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for person, val in sol.items():\n result[person] = 'knight' if val else 'knave'\n\nprint(result)" ], "text": "", "used_python_constraint": true, "duration_s": 53.054, "provider_receipts": [ { "turn": 1, "response_id": "0217853605636285e43bed6e99f957d955d5fe9d6168763cfcc75", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1180, "completion_tokens": 910, "total_tokens": 2090, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853605688175e43bed6e99f957d955d5fe9d6168763702457", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2206, "completion_tokens": 4880, "total_tokens": 7086, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853605908945e43bed6e99f957d955d5fe9d6168763ca4e3a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2841, "completion_tokens": 1249, "total_tokens": 4090, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853605974085e43bed6e99f957d955d5fe9d61687631eb151", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3475, "completion_tokens": 655, "total_tokens": 4130, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853606013805e43bed6e99f957d955d5fe9d6168763bf076f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4109, "completion_tokens": 656, "total_tokens": 4765, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853606051035e43bed6e99f957d955d5fe9d61687636dd29b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4743, "completion_tokens": 660, "total_tokens": 5403, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853606087235e43bed6e99f957d955d5fe9d61687631b4f7b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5377, "completion_tokens": 664, "total_tokens": 6041, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853606128275e43bed6e99f957d955d5fe9d61687638f681b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 6011, "completion_tokens": 659, "total_tokens": 6670, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "perturbed_statement-p7-r028", "num": 7, "pred": { "Aria": "knight", "Aiden": "knight", "Emily": "knave", "Lily": "knight", "Mason": "knave", "Sophia": "knave", "Sebastian": "knight" }, "gold": { "Aria": "knight", "Aiden": "knight", "Emily": "knave", "Lily": "knight", "Mason": "knave", "Sophia": "knave", "Sebastian": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people7_num100.jsonl", "file_sha256": "bd3900ae3527887659a1a0da1146780e0a47e4d96ff301e1c2039f35bcfff849", "row": 28, "dataset_index": 28 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Aria', 'Aiden', 'Emily', 'Lily', 'Mason', 'Sophia', 'Sebastian']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Aria说Lily不是knave，即Lily是骑士，所以Aria == Lily\nproblem.addConstraint(lambda aria, lily: aria == lily, ['Aria', 'Lily'])\n\n# Aiden说“Lily是骑士或Aria是骑士”，即lily or aria，所以Aiden == (lily or aria)\nproblem.addConstraint(lambda aiden, lily, aria: aiden == (lily or aria), ['Aiden', 'Lily', 'Aria'])\n\n# Emily说“Lily是骑士且Aria是knave”，即lily and not aria，所以Emily == (lily and not aria)\nproblem.addConstraint(lambda emily, lily, aria: emily == (lily and not aria), ['Emily', 'Lily', 'Aria'])\n\n# Lily说“Sophia是骑士或Sebastian是骑士”，即sophia or sebastian，所以Lily == (sophia or sebastian)\nproblem.addConstraint(lambda lily, sophia, sebastian: lily == (sophia or sebastian), ['Lily', 'Sophia', 'Sebastian'])\n\n# Mason说“Emily是骑士且Sophia是骑士”，即emily and sophia，所以Mason == (emily and sophia)\nproblem.addConstraint(lambda mason, emily, sophia: mason == (emily and sophia), ['Mason', 'Emily', 'Sophia'])\n\n# Sophia说“Sebastian不是骑士”，即not sebastian，所以Sophia == (not sebastian)\nproblem.addConstraint(lambda sophia, sebastian: sophia == (not sebastian), ['Sophia', 'Sebastian'])\n\n# Sebastian说“如果Sophia是knave则Aria是骑士”，即(not sophia) -> aria，等价于 sophia or aria，所以Sebastian == (sophia or aria)\nproblem.addConstraint(lambda sebastian, sophia, aria: sebastian == (sophia or aria), ['Sebastian', 'Sophia', 'Aria'])\n\nsolutions = problem.getSolutions()\n\nfor solution in solutions:\n result = {name: 'knight' if value else 'knave' for name, value in solution.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Aria', 'Aiden', 'Emily', 'Lily', 'Mason', 'Sophia', 'Sebastian']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Aria说Lily不是knave，即Lily是骑士，所以Aria == Lily\nproblem.addConstraint(lambda aria, lily: aria == lily, ['Aria', 'Lily'])\n\n# Aiden说“Lily是骑士或Aria是骑士”，即lily or aria，所以Aiden == (lily or aria)\nproblem.addConstraint(lambda aiden, lily, aria: aiden == (lily or aria), ['Aiden', 'Lily', 'Aria'])\n\n# Emily说“Lily是骑士且Aria是knave”，即lily and not aria，所以Emily == (lily and not aria)\nproblem.addConstraint(lambda emily, lily, aria: emily == (lily and not aria), ['Emily', 'Lily', 'Aria'])\n\n# Lily说“Sophia是骑士或Sebastian是骑士”，即sophia or sebastian，所以Lily == (sophia or sebastian)\nproblem.addConstraint(lambda lily, sophia, sebastian: lily == (sophia or sebastian), ['Lily', 'Sophia', 'Sebastian'])\n\n# Mason说“Emily是骑士且Sophia是骑士”，即emily and sophia，所以Mason == (emily and sophia)\nproblem.addConstraint(lambda mason, emily, sophia: mason == (emily and sophia), ['Mason', 'Emily', 'Sophia'])\n\n# Sophia说“Sebastian不是骑士”，即not sebastian，所以Sophia == (not sebastian)\nproblem.addConstraint(lambda sophia, sebastian: sophia == (not sebastian), ['Sophia', 'Sebastian'])\n\n# Sebastian说“如果Sophia是knave则Aria是骑士”，即(not sophia) -> aria，等价于 sophia or aria，所以Sebastian == (sophia or aria)\nproblem.addConstraint(lambda sebastian, sophia, aria: sebastian == (sophia or aria), ['Sebastian', 'Sophia', 'Aria'])\n\nsolutions = problem.getSolutions()\n\nfinal_result = {} \nfor solution in solutions:\n for name in names:\n final_result[name] = 'knight' if solution[name] else 'knave'\n break # 取第一个解即可，因为约束满足的解唯一\n\nprint(final_result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Aria', 'Aiden', 'Emily', 'Lily', 'Mason', 'Sophia', 'Sebastian']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Aria说Lily不是knave，即Lily是骑士，所以Aria == Lily\nproblem.addConstraint(lambda aria, lily: aria == lily, ['Aria', 'Lily'])\n\n# Aiden说“Lily是骑士或Aria是骑士”，即lily or aria，所以Aiden == (lily or aria)\nproblem.addConstraint(lambda aiden, lily, aria: aiden == (lily or aria), ['Aiden', 'Lily', 'Aria'])\n\n# Emily说“Lily是骑士且Aria是knave”，即lily and not aria，所以Emily == (lily and not aria)\nproblem.addConstraint(lambda emily, lily, aria: emily == (lily and not aria), ['Emily', 'Lily', 'Aria'])\n\n# Lily说“Sophia是骑士或Sebastian是骑士”，即sophia or sebastian，所以Lily == (sophia or sebastian)\nproblem.addConstraint(lambda lily, sophia, sebastian: lily == (sophia or sebastian), ['Lily', 'Sophia', 'Sebastian'])\n\n# Mason说“Emily是骑士且Sophia是骑士”，即emily and sophia，所以Mason == (emily and sophia)\nproblem.addConstraint(lambda mason, emily, sophia: mason == (emily and sophia), ['Mason', 'Emily', 'Sophia'])\n\n# Sophia说“Sebastian不是骑士”，即not sebastian，所以Sophia == (not sebastian)\nproblem.addConstraint(lambda sophia, sebastian: sophia == (not sebastian), ['Sophia', 'Sebastian'])\n\n# Sebastian说“如果Sophia是knave则Aria是骑士”，即(not sophia) -> aria，等价于 sophia or aria，所以Sebastian == (sophia or aria)\nproblem.addConstraint(lambda sebastian, sophia, aria: sebastian == (sophia or aria), ['Sebastian', 'Sophia', 'Aria'])\n\nsolutions = problem.getSolutions()\n\nfinal_result = {} \nfor solution in solutions:\n for name in names:\n final_result[name] = 'knight' if solution[name] else 'knave'\n break # 取第一个解即可，因为约束满足的解唯一\n\nprint(final_result)" ], "text": "{\"Aria\": \"knight\", \"Aiden\": \"knight\", \"Emily\": \"knave\", \"Lily\": \"knight\", \"Mason\": \"knave\", \"Sophia\": \"knave\", \"Sebastian\": \"knight\"}", "used_python_constraint": true, "duration_s": 45.397, "provider_receipts": [ { "turn": 1, "response_id": "0217853606166915e43bed6e99f957d955d5fe9d616876323795e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1175, "completion_tokens": 776, "total_tokens": 1951, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853606212385e43bed6e99f957d955d5fe9d61687635eb2e6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2064, "completion_tokens": 4713, "total_tokens": 6777, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853606471565e43bed6e99f957d955d5fe9d61687634b191c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2740, "completion_tokens": 1347, "total_tokens": 4087, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853606559625e43bed6e99f957d955d5fe9d61687637750a0", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3439, "completion_tokens": 721, "total_tokens": 4160, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853606611425e43bed6e99f957d955d5fe9d61687636812f7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 4138, "completion_tokens": 96, "total_tokens": 4234, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p8-r037", "num": 8, "pred": { "Ava": "knave", "Grace": "knave", "Riley": "knave", "James": "knave", "Harper": "knight", "Avery": "knight", "Sofia": "knave", "Noah": "knight" }, "gold": { "Ava": "knight", "Grace": "knight", "Riley": "knight", "James": "knight", "Harper": "knave", "Avery": "knight", "Sofia": "knave", "Noah": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people8_num100.jsonl", "file_sha256": "c3d91ba046bbeb5ec0d64c9147d3d2c76c1f631716da47d32b8379ebfcbe35a0", "row": 37, "dataset_index": 37 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义居民变量，True表示骑士，False表示无赖\nvariables = ['Ava', 'Grace', 'Riley', 'James', 'Harper', 'Avery', 'Sofia', 'Noah']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# 处理Ava的陈述：Avery是knave当且仅当Grace是knave\np.addConstraint(lambda avery, grace: avery == (not grace), ['Avery', 'Grace'])\n\n# 处理Grace的陈述：James是knight\np.addConstraint(lambda grace, james: grace == james, ['Grace', 'James'])\n\n# 处理Riley的陈述：Ava是knight当且仅当Riley是knight\np.addConstraint(lambda ava, riley: ava == riley, ['Ava', 'Riley'])\n\n# 处理James的陈述：如果Ava是knight则Riley是knight（等价于Ava→Riley，即¬Ava∨Riley，等价于ava == riley，其实和Riley的陈述一样？不，重新来：James说的是如果Ava是骑士那么Riley是骑士，即ava→riley，等价于¬ava∨riley，而Riley说的是ava↔riley，即(ava→riley)∧(riley→ava)，所以James的陈述应该是ava == riley，因为ava→riley等价于ava == riley吗？不，ava→riley是¬ava∨riley，而ava↔riley是(ava→riley)∧(riley→ava)，也就是(¬ava∨riley)∧(¬riley∨ava)，所以之前Riley的约束是ava↔riley，而James的约束应该是ava == riley吗？不对，重新分析：\n# James说“如果Ava是骑士那么Riley是骑士”，逻辑上是ava→riley，等价于ava == riley吗？不，ava→riley为真当且仅当ava为假或者riley为真，而ava↔riley为真当且仅当ava和riley同真同假。所以James的陈述是ava→riley，所以约束应该是 ava == riley？因为ava→riley等价于ava == riley？是的，因为ava→riley ≡ ¬ava ∨ riley，而ava == riley ≡ (ava∧riley)∨(¬ava∧¬riley) ≡ ¬ava∨riley 当且仅当ava和riley同真同假？不对，重新来：ava→riley的真值表是：\nava | riley | ava→riley\nT | T | T\nT | F | F\nF | T | T\nF | F | T\nava == riley的真值表是：\nava | riley | ava==riley\nT | T | T\nT | F | F\nF | T | F\nF | F | T\n哦，原来ava→riley等价于ava == riley！因为当ava为T时，riley必须为T才能让ava→riley为T，此时ava==riley为T；当ava为F时，ava→riley为T，此时ava==riley也为T。所以是的，ava→riley等价于ava == riley。所以James的约束是ava == riley？\n不，刚才错了，重新来：Riley说“ Ava是骑士当且仅当Riley是骑士”，即ava ↔ riley，也就是(ava→riley)∧(riley→ava)。而James说“如果Ava是骑士那么Riley是骑士”，即ava→riley。所以Riley的约束是ava ↔ riley，而James的约束是ava→riley。那需要分别处理：\nRiley的陈述：ava ↔ riley → p.addConstraint(lambda ava, riley: ava == riley, ['Ava', 'Riley'])\nJames的陈述：ava→riley → p.addConstraint(lambda ava, riley: (not ava) or riley, ['Ava', 'Riley'])\n但其实用等价的方式，ava→riley等价于ava == riley吗？不，刚才的真值表错误。重新算：\nava→riley为真当且仅当ava为假或者riley为真。\nava == riley为真当且仅当ava和riley同真同假。\n所以ava→riley的情况：\nava=T, riley=T → ava→riley=T，ava==riley=T\nava=T, riley=F → ava→riley=F，ava==riley=F\nava=F, riley=T → ava→riley=T，ava==riley=F\nava=F, riley=F → ava→riley=T，ava==riley=T\n所以ava→riley等价于 (ava==riley)吗？不，当ava=F, riley=T时，ava→riley是T，而ava==riley是F，所以不等价。哦，之前错了。那正确的约束应该是：\nJames说“如果Ava是骑士那么Riley是骑士”，即ava→riley，对应的约束是 (not ava) or riley，所以用约束函数表示为 lambda ava, riley: (not ava) or riley\n而Riley说“ Ava是骑士当且仅当Riley是骑士”，即ava ↔ riley，对应的约束是 (ava == riley)\n所以重新处理：\n# Riley的陈述：ava ↔ riley → p.addConstraint(lambda ava, riley: ava == riley, ['Ava', 'Riley'])\n# James的陈述：ava→riley → p.addConstraint(lambda ava, riley: (not ava) or riley, ['Ava', 'Riley'])\n\n# 处理Harper的陈述：“Ava不是骑士” → Harper的陈述是¬ava，所以约束是harper == (not ava)\np.addConstraint(lambda harper, ava: harper == (not ava), ['Harper', 'Ava'])\n\n# 处理Avery的陈述：“Grace是骑士当且仅当Avery是骑士” → avavery_grace约束：avery == grace\np.addConstraint(lambda avery, grace: avery == grace, ['Avery', 'Grace'])\n\n# 处理Sofia的陈述：“Avery不是骑士” → sofia的陈述是¬avery，约束是sofia == (not avery)\np.addConstraint(lambda sofia, avery: sofia == (not avery), ['Sofia', 'Avery'])\n\n# 处理Noah的陈述：“如果Ava是knave则Sofia是knave” → ¬ava→¬sofia，等价于ava∨¬sofia，约束是 lambda ava, sofia: ava or (not sofia), ['Ava', 'Sofia']\n\n# 现在添加所有约束\n# Ava的陈述：Avery是knave当且仅当Grace是knave → avery == (not grace)\np.addConstraint(lambda avery, grace: avery == (not grace), ['Avery', 'Grace'])\n\n# Grace的陈述：James是knight → grace == james\np.addConstraint(lambda grace, james: grace == james, ['Grace', 'James'])\n\n# Riley的陈述：Ava是骑士当且仅当Riley是骑士 → ava == riley\np.addConstraint(lambda ava, riley: ava == riley, ['Ava', 'Riley'])\n\n# James的陈述：如果Ava是骑士那么Riley是骑士 → (not ava) or riley\np.addConstraint(lambda ava, riley: (not ava) or riley, ['Ava', 'Riley'])\n\n# Harper的陈述：Ava不是骑士 → harper == (not ava)\np.addConstraint(lambda harper, ava: harper == (not ava), ['Harper', 'Ava'])\n\n# Avery的陈述：Grace是骑士当且仅当Avery是骑士 → avery == grace\np.addConstraint(lambda avery, grace: avery == grace, ['Avery', 'Grace'])\n\n# Sofia的陈述：Avery不是骑士 → sofia == (not avery)\np.addConstraint(lambda sofia, avery: sofia == (not avery), ['Sofia', 'Avery'])\n\n# Noah的陈述：如果Ava是knave则Sofia是knave → ava or (not sofia)\np.addConstraint(lambda ava, sofia: ava or (not sofia), ['Ava', 'Sofia'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k: 'knight' if v else 'knave' for k, v in sol.items()})\n\n" ], "text": "{\"Ava\": \"knave\", \"Grace\": \"knave\", \"Riley\": \"knave\", \"James\": \"knave\", \"Harper\": \"knight\", \"Avery\": \"knight\", \"Sofia\": \"knave\", \"Noah\": \"knight\"}", "used_python_constraint": true, "duration_s": 20.32, "provider_receipts": [ { "turn": 1, "response_id": "0217853606621005e43bed6e99f957d955d5fe9d6168763a50440", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1185, "completion_tokens": 2110, "total_tokens": 3295, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853606775325e43bed6e99f957d955d5fe9d6168763c090b1", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3448, "completion_tokens": 675, "total_tokens": 4123, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "perturbed_statement-p8-r086", "num": 8, "pred": { "David": "knight", "Ella": "knight", "Matthew": "knave", "Charlotte": "knave", "Oliver": "knave", "Samuel": "knave", "Riley": "knight", "Alexander": "knight" }, "gold": { "David": "knight", "Ella": "knave", "Matthew": "knave", "Charlotte": "knave", "Oliver": "knave", "Samuel": "knave", "Riley": "knight", "Alexander": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "perturbed_statement", "path": "test/perturbed_statement/people8_num100.jsonl", "file_sha256": "c3d91ba046bbeb5ec0d64c9147d3d2c76c1f631716da47d32b8379ebfcbe35a0", "row": 86, "dataset_index": 86 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n\n# 定义居民变量，True表示骑士，False表示无赖\nresidents = ['David', 'Ella', 'Matthew', 'Charlotte', 'Oliver', 'Samuel', 'Riley', 'Alexander']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# David 说\"Riley 不是无赖\"，即 David == (Riley 是骑士)\ndef david_constraint(david, riley):\n return david == riley\np.addConstraint(david_constraint, ['David', 'Riley'])\n\n# Ella 说\"如果 Samuel 是无赖那么 Oliver 是骑士\"，即 Ella == (not samuel or oliver)\ndef ella_constraint(ella, samuel, oliver):\n return ella == (not samuel or oliver)\np.addConstraint(ella_constraint, ['Ella', 'Samuel', 'Oliver'])\n\n# Matthew 说\"Samuel 是骑士或者 Riley 是无赖\"，即 Matthew == (samuel or not riley)\ndef matthew_constraint(matthew, samuel, riley):\n return matthew == (samuel or not riley)\np.addConstraint(matthew_constraint, ['Matthew', 'Samuel', 'Riley'])\n\n# Charlotte 说\"Riley 不是骑士\"，即 Charlotte == (not riley)\ndef charlotte_constraint(charlotte, riley):\n return charlotte == (not riley)\np.addConstraint(charlotte_constraint, ['Charlotte', 'Riley'])\n\n# Oliver 说\"David 是无赖\"，即 Oliver == (not david)\ndef oliver_constraint(oliver, david):\n return oliver == (not david)\np.addConstraint(oliver_constraint, ['Oliver', 'David'])\n\n# Samuel 说\"Charlotte 是骑士且 Riley 是无赖\"，即 Samuel == (charlotte and not riley)\ndef samuel_constraint(samuel, charlotte, riley):\n return samuel == (charlotte and not riley)\np.addConstraint(samuel_constraint, ['Samuel', 'Charlotte', 'Riley'])\n\n# Riley 说\"如果 Matthew 是无赖那么 Samuel 是无赖\"，即 Riley == (not matthew or not samuel)\ndef riley_constraint(riley, matthew, samuel):\n return riley == (not matthew or not samuel)\np.addConstraint(riley_constraint, ['Riley', 'Matthew', 'Samuel'])\n\n# Alexander 说\"如果 Samuel 是无赖那么 Oliver 是无赖\"，即 Alexander == (not samuel or not oliver)\ndef alexander_constraint(alexander, samuel, oliver):\n return alexander == (not samuel or not oliver)\np.addConstraint(alexander_constraint, ['Alexander', 'Samuel', 'Oliver'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义居民变量，True表示骑士，False表示无赖\nresidents = ['David', 'Ella', 'Matthew', 'Charlotte', 'Oliver', 'Samuel', 'Riley', 'Alexander']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# David 说\"Riley 不是无赖\"，即 David == (Riley 是骑士)\ndef david_constraint(david, riley):\n return david == riley\np.addConstraint(david_constraint, ['David', 'Riley'])\n\n# Ella 说\"如果 Samuel 是无赖那么 Oliver 是骑士\"，即 Ella == (not samuel or oliver)\ndef ella_constraint(ella, samuel, oliver):\n return ella == (not samuel or oliver)\np.addConstraint(ella_constraint, ['Ella', 'Samuel', 'Oliver'])\n\n# Matthew 说\"Samuel 是骑士或者 Riley 是无赖\"，即 Matthew == (samuel or not riley)\ndef matthew_constraint(matthew, samuel, riley):\n return matthew == (samuel or not riley)\np.addConstraint(matthew_constraint, ['Matthew', 'Samuel', 'Riley'])\n\n# Charlotte 说\"Riley 不是骑士\"，即 Charlotte == (not riley)\ndef charlotte_constraint(charlotte, riley):\n return charlotte == (not riley)\np.addConstraint(charlotte_constraint, ['Charlotte', 'Riley'])\n\n# Oliver 说\"David 是无赖\"，即 Oliver == (not david)\ndef oliver_constraint(oliver, david):\n return oliver == (not david)\np.addConstraint(oliver_constraint, ['Oliver', 'David'])\n\n# Samuel 说\"Charlotte 是骑士且 Riley 是无赖\"，即 Samuel == (charlotte and not riley)\ndef samuel_constraint(samuel, charlotte, riley):\n return samuel == (charlotte and not riley)\np.addConstraint(samuel_constraint, ['Samuel', 'Charlotte', 'Riley'])\n\n# Riley 说\"如果 Matthew 是无赖那么 Samuel 是无赖\"，即 Riley == (not matthew or not samuel)\ndef riley_constraint(riley, matthew, samuel):\n return riley == (not matthew or not samuel)\np.addConstraint(riley_constraint, ['Riley', 'Matthew', 'Samuel'])\n\n# Alexander 说\"如果 Samuel 是无赖那么 Oliver 是无赖\"，即 Alexander == (not samuel or not oliver)\ndef alexander_constraint(alexander, samuel, oliver):\n return alexander == (not samuel or not oliver)\np.addConstraint(alexander_constraint, ['Alexander', 'Samuel', 'Oliver'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfinal_result = {}\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n final_result = result\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义居民变量，True表示骑士，False表示无赖\nresidents = ['David', 'Ella', 'Matthew', 'Charlotte', 'Oliver', 'Samuel', 'Riley', 'Alexander']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# David 说\"Riley 不是无赖\"，即 David == (Riley 是骑士)\ndef david_constraint(david, riley):\n return david == riley\np.addConstraint(david_constraint, ['David', 'Riley'])\n\n# Ella 说\"如果 Samuel 是无赖那么 Oliver 是骑士\"，即 Ella == (not samuel or oliver)\ndef ella_constraint(ella, samuel, oliver):\n return ella == (not samuel or oliver)\np.addConstraint(ella_constraint, ['Ella', 'Samuel', 'Oliver'])\n\n# Matthew 说\"Samuel 是骑士或者 Riley 是无赖\"，即 Matthew == (samuel or not riley)\ndef matthew_constraint(matthew, samuel, riley):\n return matthew == (samuel or not riley)\np.addConstraint(matthew_constraint, ['Matthew', 'Samuel', 'Riley'])\n\n# Charlotte 说\"Riley 不是骑士\"，即 Charlotte == (not riley)\ndef charlotte_constraint(charlotte, riley):\n return charlotte == (not riley)\np.addConstraint(charlotte_constraint, ['Charlotte', 'Riley'])\n\n# Oliver 说\"David 是无赖\"，即 Oliver == (not david)\ndef oliver_constraint(oliver, david):\n return oliver == (not david)\np.addConstraint(oliver_constraint, ['Oliver', 'David'])\n\n# Samuel 说\"Charlotte 是骑士且 Riley 是无赖\"，即 Samuel == (charlotte and not riley)\ndef samuel_constraint(samuel, charlotte, riley):\n return samuel == (charlotte and not riley)\np.addConstraint(samuel_constraint, ['Samuel', 'Charlotte', 'Riley'])\n\n# Riley 说\"如果 Matthew 是无赖那么 Samuel 是无赖\"，即 Riley == (not matthew or not samuel)\ndef riley_constraint(riley, matthew, samuel):\n return riley == (not matthew or not samuel)\np.addConstraint(riley_constraint, ['Riley', 'Matthew', 'Samuel'])\n\n# Alexander 说\"如果 Samuel 是无赖那么 Oliver 是无赖\"，即 Alexander == (not samuel or not oliver)\ndef alexander_constraint(alexander, samuel, oliver):\n return alexander == (not samuel or not oliver)\np.addConstraint(alexander_constraint, ['Alexander', 'Samuel', 'Oliver'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfinal_result = {}\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n final_result = result\n\nimport json\nprint(json.dumps(final_result, indent=4))" ], "text": "{\"David\": \"knight\", \"Ella\": \"knight\", \"Matthew\": \"knave\", \"Charlotte\": \"knave\", \"Oliver\": \"knave\", \"Samuel\": \"knave\", \"Riley\": \"knight\", \"Alexander\": \"knight\"}", "used_python_constraint": true, "duration_s": 52.371, "provider_receipts": [ { "turn": 1, "response_id": "0217853606824355e43bed6e99f957d955d5fe9d6168763cd0b03", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1179, "completion_tokens": 752, "total_tokens": 1931, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853606874765e43bed6e99f957d955d5fe9d6168763bd9f7a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2046, "completion_tokens": 876, "total_tokens": 2922, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853606934265e43bed6e99f957d955d5fe9d61687632851af", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2941, "completion_tokens": 5811, "total_tokens": 8752, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853607281025e43bed6e99f957d955d5fe9d6168763aa96bc", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3791, "completion_tokens": 884, "total_tokens": 4675, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853607337715e43bed6e99f957d955d5fe9d6168763ed2a34", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 4669, "completion_tokens": 93, "total_tokens": 4762, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p2-r060", "num": 2, "pred": { "Isabella": "knave", "Emma": "knave" }, "gold": { "Isabella": "knave", "Emma": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people2_num100.jsonl", "file_sha256": "c116f384f984150969554d783ccf7cecf4c6e56c59d2f5d326bfcfa722bb149c", "row": 60, "dataset_index": 60 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Isabella', [True, False])\np.addVariable('Emma', [True, False])\n\n# 处理Emma的陈述：\"Isabella是骑士当且仅当Isabella是无赖\"，根据双条件约束，Emma == (Isabella == (not Isabella))\ndef emma_constraint(emma, isabella):\n return emma == (isabella == (not isabella))\np.addConstraint(emma_constraint, ['Emma', 'Isabella'])\n\n# 处理Isabella的陈述：\"Isabella是骑士且Emma是骑士\"，根据双条件约束，Isabella == (isabella and emma)\ndef isabella_constraint(isabella, emma):\n return isabella == (isabella and emma)\np.addConstraint(isabella_constraint, ['Isabella', 'Emma'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:'knight' if v else 'knave' for k,v in sol.items()})", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Isabella', [True, False])\np.addVariable('Emma', [True, False])\n\n# 处理Emma的陈述：\"Isabella是骑士当且仅当Isabella是无赖\"，根据双条件约束，Emma == (Isabella == (not Isabella))\ndef emma_constraint(emma, isabella):\n return emma == (isabella == (not isabella))\np.addConstraint(emma_constraint, ['Emma', 'Isabella'])\n\n# 处理Isabella的陈述：\"Isabella是骑士且Emma是骑士\"，根据双条件约束，Isabella == (isabella and emma)\ndef isabella_constraint(isabella, emma):\n return isabella == (isabella and emma)\np.addConstraint(isabella_constraint, ['Isabella', 'Emma'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:'knight' if v else 'knave' for k,v in sol.items()}}", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Isabella', [True, False])\np.addVariable('Emma', [True, False])\n\n# 处理Emma的陈述：\"Isabella是骑士当且仅当Isabella是无赖\"，根据双条件约束，Emma == (Isabella == (not Isabella))\ndef emma_constraint(emma, isabella):\n return emma == (isabella == (not isabella))\np.addConstraint(emma_constraint, ['Emma', 'Isabella'])\n\n# 处理Isabella的陈述：\"Isabella是骑士且Emma是骑士\"，根据双条件约束，Isabella == (isabella and emma)\ndef isabella_constraint(isabella, emma):\n return isabella == (isabella and emma)\np.addConstraint(isabella_constraint, ['Isabella', 'Emma'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k: 'knight' if v else 'knave' for k, v in sol.items()})" ], "text": "{\"Isabella\": \"knave\", \"Emma\": \"knave\"}", "used_python_constraint": true, "duration_s": 8.023, "provider_receipts": [ { "turn": 1, "response_id": "0217853607348175e43bed6e99f957d955d5fe9d61687639680c8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1090, "completion_tokens": 280, "total_tokens": 1370, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853607370705e43bed6e99f957d955d5fe9d6168763fb4521", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1455, "completion_tokens": 356, "total_tokens": 1811, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853607394655e43bed6e99f957d955d5fe9d61687637690a2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1862, "completion_tokens": 403, "total_tokens": 2265, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853607422415e43bed6e99f957d955d5fe9d616876319f9a6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2188, "completion_tokens": 60, "total_tokens": 2248, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p2-r076", "num": 2, "pred": { "Isabella": "knave", "Elizabeth": "knight" }, "gold": { "Isabella": "knave", "Elizabeth": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people2_num100.jsonl", "file_sha256": "c116f384f984150969554d783ccf7cecf4c6e56c59d2f5d326bfcfa722bb149c", "row": 76, "dataset_index": 76 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Isabella', [True, False])\np.addVariable('Elizabeth', [True, False])\n\n# Elizabeth说：\"Isabella是个无赖\"，根据规则，Elizabeth的布尔值等于她的话的真值，即Elizabeth == (Isabella is False)\np.addConstraint(lambda eliz, isab: eliz == (not isab), ['Elizabeth', 'Isabella'])\n\n# Isabella说：\"Elizabeth是骑士当且仅当Isabella是骑士\"，即Isabella == (Elizabeth == Isabella)\np.addConstraint(lambda isab, eliz: isab == (eliz == isab), ['Isabella', 'Elizabeth'])\n\n# 遍历所有解\nfor solution in p.getSolutions():\n # 将布尔值转换为骑士或无赖的字符串\n result = {k: 'knight' if v else 'knave' for k, v in solution.items()}\n print(result)" ], "text": "{\"Elizabeth\": \"knight\", \"Isabella\": \"knave\"}", "used_python_constraint": true, "duration_s": 2.456, "provider_receipts": [ { "turn": 1, "response_id": "0217853607428555e43bed6e99f957d955d5fe9d6168763d4ad9d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1082, "completion_tokens": 246, "total_tokens": 1328, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853607447525e43bed6e99f957d955d5fe9d6168763c7f938", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1415, "completion_tokens": 57, "total_tokens": 1472, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p3-r000", "num": 3, "pred": { "Penelope": "knave", "David": "knave", "Zoey": "knight" }, "gold": { "Penelope": "knave", "David": "knave", "Zoey": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people3_num100.jsonl", "file_sha256": "ff772d57162fb500e608ef28c59eaf57ba1d80f60cf3f73902162c3476f6b0a2", "row": 0, "dataset_index": 0 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# 处理David的陈述：David说Zoey是knave当且仅当Zoey是knight\n# 即 David的话为 (Zoey是knave <-> Zoey是knight)，根据双条件约束，David == ( (not Zoey) == Zoey )\np.addConstraint(lambda d, z: d == ((not z) == z), ['David', 'Zoey'])\n\n# 处理Zoey的陈述：Zoey说如果Penelope是knave，那么David是knave\n# 逻辑表达式为 (not Penelope) -> (not David)，根据双条件约束，Zoey == ( (not Penelope) <= (not David) )\n# 等价于 Zoey == (Penelope or not David)\np.addConstraint(lambda z, p, d: z == (p or not d), ['Zoey', 'Penelope', 'David'])\n\n# 处理Penelope的陈述：Penelope说David是knight当且仅当David是knave\n# 即 Penelope的话为 (David是knight <-> David是knave)，根据双条件约束，Penelope == (d == (not d))，其中d是David的变量\np.addConstraint(lambda p, d: p == (d == (not d)), ['Penelope', 'David'])\n\n# 寻找所有满足约束的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n print({k: 'knight' if v else 'knave' for k, v in sol.items()})\n\n", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# 处理David的陈述：David说Zoey是knave当且仅当Zoey是knight\n# 即 David的话为 (Zoey是knave <-> Zoey是knight)，根据双条件约束，David == ( (not Zoey) == Zoey )\np.addConstraint(lambda d, z: d == ((not z) == z), ['David', 'Zoey'])\n\n# 处理Zoey的陈述：Zoey说如果Penelope是knave那么David是knave\n# 逻辑表达式为 (not Penelope) -> (not David)，根据双条件约束，Zoey == ( (not Penelope) <= (not David) )\n# 等价于 Zoey == (Penelope or not David)\np.addConstraint(lambda z, p, d: z == (p or not d), ['Zoey', 'Penelope', 'David'])\n\n# 处理Penelope的陈述：Penelope说David是knight当且仅当David是knave\n# 即 Penelope的话为 (David是knight <-> David是knave)，根据双条件约束，Penelope == (d == (not d))，其中d是David的变量\np.addConstraint(lambda p, d: p == (d == (not d)), ['Penelope', 'David'])\n\n# 寻找所有满足约束的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)\n\n", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Penelope', [True, False])\np.addVariable('David', [True, False])\np.addVariable('Zoey', [True, False])\n\n# 处理David的陈述：David说Zoey是knave当且仅当Zoey是knight\n# 即 David的话为 (Zoey是knave <-> Zoey是knight)，根据双条件约束，David == ( (not Zoey) == Zoey )\np.addConstraint(lambda d, z: d == ((not z) == z), ['David', 'Zoey'])\n\n# 处理Zoey的陈述：Zoey说如果Penelope是knave那么David是knave\n# 逻辑表达式为 (not Penelope) -> (not David)，根据双条件约束，Zoey == ( (not Penelope) <= (not David) )\n# 等价于 Zoey == (Penelope or not David)\np.addConstraint(lambda z, p, d: z == (p or not d), ['Zoey', 'Penelope', 'David'])\n\n# 处理Penelope的陈述：Penelope说David是knight当且仅当David是knave\n# 即 Penelope的话为 (David是knight <-> David是knave)，根据双条件约束，Penelope == (d == (not d))，其中d是David的变量\np.addConstraint(lambda p, d: p == (d == (not d)), ['Penelope', 'David'])\n\n# 寻找所有满足约束的解\nsolutions = p.getSolutions()\n\n# 转换结果为要求的格式\nfinal_result = {}\nfor sol in solutions:\n final_result['Penelope'] = 'knight' if sol['Penelope'] else 'knave'\n final_result['David'] = 'knight' if sol['David'] else 'knave'\n final_result['Zoey'] = 'knight' if sol['Zoey'] else 'knave'\n\nprint(final_result)" ], "text": "{\"Penelope\": \"knave\", \"David\": \"knave\", \"Zoey\": \"knight\"}", "used_python_constraint": true, "duration_s": 10.243, "provider_receipts": [ { "turn": 1, "response_id": "0217853607453235e43bed6e99f957d955d5fe9d6168763db4530", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1117, "completion_tokens": 436, "total_tokens": 1553, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853607482015e43bed6e99f957d955d5fe9d6168763637b3c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1644, "completion_tokens": 520, "total_tokens": 2164, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853607513985e43bed6e99f957d955d5fe9d6168763c868d6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2135, "completion_tokens": 567, "total_tokens": 2702, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853607549415e43bed6e99f957d955d5fe9d6168763a5cc85", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2678, "completion_tokens": 68, "total_tokens": 2746, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p3-r064", "num": 3, "pred": null, "gold": { "Lucas": "knight", "Evelyn": "knave", "Grace": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people3_num100.jsonl", "file_sha256": "ff772d57162fb500e608ef28c59eaf57ba1d80f60cf3f73902162c3476f6b0a2", "row": 64, "dataset_index": 64 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Lucas', [True, False])\np.addVariable('Evelyn', [True, False])\np.addVariable('Grace', [True, False])\n\n# Grace说'Lucas是无赖'，根据规则，Grace的布尔值等于她的话为真\np.addConstraint(lambda grace, lucas: grace == (not lucas), ['Grace', 'Lucas'])\n\n# Evelyn说'Grace是骑士'，同理，Evelyn的布尔值等于她的话为真\np.addConstraint(lambda evelyn, grace: evelyn == grace, ['Evelyn', 'Grace'])\n\n# Lucas说'如果Lucas是骑士，那么Evelyn是无赖'，即Lucas的布尔值等于（Lucas为真→Evelyn为假）\np.addConstraint(lambda lucas, evelyn: lucas == (lucas implies evelyn), ['Lucas', 'Evelyn'])\n\n# 这里用lambda表达式实现implies，a implies b等价于not a or b\ndef implies(a, b):\n return not a or b\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})", "from constraint import Problem\n\ndef implies(a, b):\n return not a or b\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Lucas', [True, False])\np.addVariable('Evelyn', [True, False])\np.addVariable('Grace', [True, False])\n\n# Grace说'Lucas是无赖'，根据规则，Grace的布尔值等于她的话为真\np.addConstraint(lambda grace, lucas: grace == (not lucas), ['Grace', 'Lucas'])\n\n# Evelyn说'Grace是骑士'，同理，Evelyn的布尔值等于她的话为真\np.addConstraint(lambda evelyn, grace: evelyn == grace, ['Evelyn', 'Grace'])\n\n# Lucas说'如果Lucas是骑士，那么Evelyn是无赖'，即Lucas的布尔值等于（Lucas为真→Evelyn为假），用implies函数\np.addConstraint(lambda lucas, evelyn: lucas == implies(lucas, evelyn), ['Lucas', 'Evelyn'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k, v in sol.items()})", "from constraint import Problem\n\ndef implies(a, b):\n return not a or b\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Lucas', [True, False])\np.addVariable('Evelyn', [True, False])\np.addVariable('Grace', [True, False])\n\n# Grace说'Lucas是无赖'，约束：Grace的布尔值等于Lucas是无赖（not Lucas）\np.addConstraint(lambda grace, lucas: grace == (not lucas), ['Grace', 'Lucas'])\n\n# Evelyn说'Grace是骑士'，约束：Evelyn的布尔值等于Grace是骑士（grace）\np.addConstraint(lambda evelyn, grace: evelyn == grace, ['Evelyn', 'Grace'])\n\n# Lucas说'如果Lucas是骑士，那么Evelyn是无赖'，即Lucas的布尔值等于（Lucas为真→Evelyn为假），用implies函数\np.addConstraint(lambda lucas, evelyn: lucas == implies(lucas, evelyn), ['Lucas', 'Evelyn'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\ndef implies(a, b):\n return not a or b\n\np = Problem()\n\np.addVariable('Lucas', [True, False])\np.addVariable('Evelyn', [True, False])\np.addVariable('Grace', [True, False])\n\n# Grace说Lucas是无赖\np.addConstraint(lambda grace, lucas: grace == (not lucas), ['Grace', 'Lucas'])\n\n# Evelyn说Grace是骑士\np.addConstraint(lambda evelyn, grace: evelyn == grace, ['Evelyn', 'Grace'])\n\n# Lucas说如果Lucas是骑士，那么Evelyn是无赖\np.addConstraint(lambda lucas, evelyn: lucas == (not lucas or not evelyn), ['Lucas', 'Evelyn'])\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k: 'knight' if v else 'knave' for k, v in sol.items()})", "from constraint import Problem\n\ndef implies(a, b):\n return not a or b\n\np = Problem()\n\np.addVariable('Lucas', [True, False])\np.addVariable('Evelyn', [True, False])\np.addVariable('Grace', [True, False])\n\n# Grace说Lucas是无赖\np.addConstraint(lambda grace, lucas: grace == (not lucas), ['Grace', 'Lucas'])\n\n# Evelyn说Grace是骑士\np.addConstraint(lambda evelyn, grace: evelyn == grace, ['Evelyn', 'Grace'])\n\n# Lucas说如果Lucas是骑士，那么Evelyn是无赖\np.addConstraint(lambda lucas, evelyn: lucas == (not lucas or not evelyn), ['Lucas', 'Evelyn'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result['Lucas'] = 'knight' if sol['Lucas'] else 'knave'\n result['Evelyn'] = 'knight' if sol['Evelyn'] else 'knave'\n result['Grace'] = 'knight' if sol['Grace'] else 'knave'\n\nprint(result)", "from constraint import Problem\n\ndef implies(a, b):\n return not a or b\n\np = Problem()\n\np.addVariable('Lucas', [True, False])\np.addVariable('Evelyn', [True, False])\np.addVariable('Grace', [True, False])\n\n# Grace说Lucas是无赖\np.addConstraint(lambda grace, lucas: grace == (not lucas), ['Grace', 'Lucas'])\n\n# Evelyn说Grace是骑士\np.addConstraint(lambda evelyn, grace: evelyn == grace, ['Evelyn', 'Grace'])\n\n# Lucas说如果Lucas是骑士，那么Evelyn是无赖\np.addConstraint(lambda lucas, evelyn: lucas == (not lucas or not evelyn), ['Lucas', 'Evelyn'])\n\nsolutions = p.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result['Lucas'] = 'knight' if sol['Lucas'] else 'knave'\n final_result['Evelyn'] = 'knight' if sol['Evelyn'] else 'knave'\n final_result['Grace'] = 'knight' if sol['Grace'] else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\ndef implies(a, b):\n return not a or b\n\np = Problem()\n\np.addVariable('Lucas', [True, False])\np.addVariable('Evelyn', [True, False])\np.addVariable('Grace', [True, False])\n\n# Grace说Lucas是无赖\np.addConstraint(lambda grace, lucas: grace == (not lucas), ['Grace', 'Lucas'])\n\n# Evelyn说Grace是骑士\np.addConstraint(lambda evelyn, grace: evelyn == grace, ['Evelyn', 'Grace'])\n\n# Lucas说如果Lucas是骑士，那么Evelyn是无赖\np.addConstraint(lambda lucas, evelyn: lucas == (not lucas or not evelyn), ['Lucas', 'Evelyn'])\n\nsolutions = p.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result['Lucas'] = 'knight' if sol['Lucas'] else 'knave'\n final_result['Evelyn'] = 'knight' if sol['Evelyn'] else 'knave'\n final_result['Grace'] = 'knight' if sol['Grace'] else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\ndef implies(a, b):\n return not a or b\n\np = Problem()\n\np.addVariable('Lucas', [True, False])\np.addVariable('Evelyn', [True, False])\np.addVariable('Grace', [True, False])\n\n# Grace说Lucas是无赖\np.addConstraint(lambda grace, lucas: grace == (not lucas), ['Grace', 'Lucas'])\n\n# Evelyn说Grace是骑士\np.addConstraint(lambda evelyn, grace: evelyn == grace, ['Evelyn', 'Grace'])\n\n# Lucas说如果Lucas是骑士，那么Evelyn是无赖\np.addConstraint(lambda lucas, evelyn: lucas == (not lucas or not evelyn), ['Lucas', 'Evelyn'])\n\nsolutions = p.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result['Lucas'] = 'knight' if sol['Lucas'] else 'knave'\n final_result['Evelyn'] = 'knight' if sol['Evelyn'] else 'knave'\n final_result['Grace'] = 'knight' if sol['Grace'] else 'knave'\n\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 40.443, "provider_receipts": [ { "turn": 1, "response_id": "0217853607555795e43bed6e99f957d955d5fe9d6168763c2dbdb", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1093, "completion_tokens": 335, "total_tokens": 1428, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853607581155e43bed6e99f957d955d5fe9d6168763e28459", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1599, "completion_tokens": 784, "total_tokens": 2383, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853607628395e43bed6e99f957d955d5fe9d61687638e433a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1967, "completion_tokens": 1131, "total_tokens": 3098, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853607698015e43bed6e99f957d955d5fe9d616876352621e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2346, "completion_tokens": 2766, "total_tokens": 5112, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853607849585e43bed6e99f957d955d5fe9d61687631c9520", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2638, "completion_tokens": 384, "total_tokens": 3022, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853607871435e43bed6e99f957d955d5fe9d6168763b90629", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2981, "completion_tokens": 696, "total_tokens": 3677, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853607911325e43bed6e99f957d955d5fe9d616876372aae9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3329, "completion_tokens": 386, "total_tokens": 3715, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853607935915e43bed6e99f957d955d5fe9d61687635c5069", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3677, "completion_tokens": 387, "total_tokens": 4064, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "reorder_statement-p4-r068", "num": 4, "pred": { "Aurora": "knight", "Elizabeth": "knave", "Grace": "knight", "Daniel": "knight" }, "gold": { "Aurora": "knight", "Elizabeth": "knave", "Grace": "knight", "Daniel": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people4_num100.jsonl", "file_sha256": "be12e4b5a38792785264c16c11117f7f10f955517e32c92ea37949017a4da0cb", "row": 68, "dataset_index": 68 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Aurora', 'Elizabeth', 'Grace', 'Daniel'], [True, False])\n\n# 伊丽莎白说：\"Grace是骑士且Grace是无赖\"\n# 因为\"Grace是骑士且Grace是无赖\"恒假，所以伊丽莎白的话为假，根据双条件约束：Elizabeth == (\"Grace是骑士且Grace是无赖\"为真)\n# 即 Elizabeth == False\np.addConstraint(lambda elizabeth, grace: elizabeth == (grace and not grace), ['Elizabeth', 'Grace'])\n\n# Aurora说：\"Elizabeth是骑士当且仅当Grace是无赖\"\n# 即 Aurora == (Elizabeth == (not grace))\np.addConstraint(lambda aurora, elizabeth, grace: aurora == (elizabeth == (not grace)), ['Aurora', 'Elizabeth', 'Grace'])\n\n# Daniel说：\"Aurora是骑士\"\n# 即 Daniel == (Aurora)\np.addConstraint(lambda daniel, aurora: daniel == aurora, ['Daniel', 'Aurora'])\n\n# Grace说：\"Daniel是无赖或者Grace是骑士\"\n# 即 Grace == (not daniel or grace)\np.addConstraint(lambda grace, daniel: grace == (not daniel or grace), ['Grace', 'Daniel'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k: 'knight' if v else 'knave' for k, v in sol.items()})" ], "text": "{\"Aurora\": \"knight\", \"Elizabeth\": \"knave\", \"Grace\": \"knight\", \"Daniel\": \"knight\"}", "used_python_constraint": true, "duration_s": 3.484, "provider_receipts": [ { "turn": 1, "response_id": "0217853607960325e43bed6e99f957d955d5fe9d6168763bbce7b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1119, "completion_tokens": 384, "total_tokens": 1503, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853607989215e43bed6e99f957d955d5fe9d61687633d1aa3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1602, "completion_tokens": 80, "total_tokens": 1682, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p4-r097", "num": 4, "pred": { "Lucas": "knave", "Ava": "knave", "Grace": "knight", "Liam": "knave" }, "gold": { "Lucas": "knave", "Ava": "knave", "Grace": "knight", "Liam": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people4_num100.jsonl", "file_sha256": "be12e4b5a38792785264c16c11117f7f10f955517e32c92ea37949017a4da0cb", "row": 97, "dataset_index": 97 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Lucas', [True, False])\np.addVariable('Ava', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Liam', [True, False])\n\n# Lucas说：如果Grace是骑士那么Ava是骑士。逻辑表达式为Grace -> Ava，等价于not Grace or Ava。根据双条件约束，Lucas == (not Grace or Ava)\np.addConstraint(lambda lucas, grace, ava: lucas == (not grace or ava), ['Lucas', 'Grace', 'Ava'])\n\n# Liam说：Grace是 knave当且仅当Grace是 knight。即 (not Grace) <-> Grace，这是一个矛盾式，只有当两边都为假时成立？不，等价式为 (not Grace) == Grace，所以只有当Grace为False时，左边是True，右边是False，不等；当Grace为True时，左边是False，右边是True，不等。所以这个约束应该是Liam == ( (not Grace) == Grace )\np.addConstraint(lambda liam, grace: liam == ((not grace) == grace), ['Liam', 'Grace'])\n\n# Ava说：Grace不是骑士。即 Ava == (not Grace)\np.addConstraint(lambda ava, grace: ava == (not grace), ['Ava', 'Grace'])\n\n# Grace说：Ava是 knave当且仅当Lucas是 knave。即 (not Ava) <-> (not Lucas)，等价于 Ava == Lucas\np.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Lucas', [True, False])\np.addVariable('Ava', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Liam', [True, False])\n\n# Lucas说：如果Grace是骑士那么Ava是骑士。逻辑表达式为Grace -> Ava，等价于not Grace or Ava。根据双条件约束，Lucas == (not Grace or Ava)\np.addConstraint(lambda lucas, grace, ava: lucas == (not grace or ava), ['Lucas', 'Grace', 'Ava'])\n\n# Liam说：Grace是 knave当且仅当Grace是 knight。即 (not Grace) <-> Grace，这是一个矛盾式，只有当两边都为假时成立？不，等价式为 (not Grace) == Grace，所以只有当Grace为False时，左边是True，右边是False，不等；当Grace为True时，左边是False，右边是True，不等。所以这个约束应该是Liam == ( (not Grace) == Grace )\np.addConstraint(lambda liam, grace: liam == ((not grace) == grace), ['Liam', 'Grace'])\n\n# Ava说：Grace不是骑士。即 Ava == (not Grace)\np.addConstraint(lambda ava, grace: ava == (not grace), ['Ava', 'Grace'])\n\n# Grace说：Ava是 knave当且仅当Lucas是 knave。即 (not Ava) <-> (not Lucas)，等价于 Ava == Lucas\np.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Lucas', [True, False])\np.addVariable('Ava', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Liam', [True, False])\n\n# Lucas说：如果Grace是骑士那么Ava是骑士。逻辑表达式为Grace -> Ava，等价于not Grace or Ava。根据双条件约束，Lucas == (not Grace or Ava)\np.addConstraint(lambda lucas, grace, ava: lucas == (not grace or ava), ['Lucas', 'Grace', 'Ava'])\n\n# Liam说：Grace是 knave当且仅当Grace是 knight。即 (not Grace) <-> Grace，这是一个矛盾式，只有当两边都为假时成立？不，等价式为 (not Grace) == Grace，所以只有当Grace为False时，左边是True，右边是False，不等；当Grace为True时，左边是False，右边是True，不等。所以这个约束应该是Liam == ( (not Grace) == Grace )\np.addConstraint(lambda liam, grace: liam == ((not grace) == grace), ['Liam', 'Grace'])\n\n# Ava说：Grace不是骑士。即 Ava == (not Grace)\np.addConstraint(lambda ava, grace: ava == (not grace), ['Ava', 'Grace'])\n\n# Grace说：Ava是 knave当且仅当Lucas是 knave。即 (not Ava) <-> (not Lucas)，等价于 Ava == Lucas\np.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Lucas', [True, False])\np.addVariable('Ava', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Liam', [True, False])\n\n# Lucas说：如果Grace是骑士那么Ava是骑士。逻辑表达式为Grace -> Ava，等价于not Grace or Ava。根据双条件约束，Lucas == (not Grace or Ava)\np.addConstraint(lambda lucas, grace, ava: lucas == (not grace or ava), ['Lucas', 'Grace', 'Ava'])\n\n# Liam说：Grace是 knave当且仅当Grace是 knight。即 (not Grace) <-> Grace，这是一个矛盾式，只有当两边都为假时成立？不，等价式为 (not Grace) == Grace，所以只有当Grace为False时，左边是True，右边是False，不等；当Grace为True时，左边是False，右边是True，不等。所以这个约束应该是Liam == ( (not Grace) == Grace )\np.addConstraint(lambda liam, grace: liam == ((not grace) == grace), ['Liam', 'Grace'])\n\n# Ava说：Grace不是骑士。即 Ava == (not Grace)\np.addConstraint(lambda ava, grace: ava == (not grace), ['Ava', 'Grace'])\n\n# Grace说：Ava是 knave当且仅当Lucas是 knave。即 (not Ava) <-> (not Lucas)，等价于 Ava == Lucas\np.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Lucas', [True, False])\np.addVariable('Ava', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Liam', [True, False])\n\n# Lucas说：如果Grace是骑士那么Ava是骑士。逻辑表达式为Grace -> Ava，等价于not Grace or Ava。根据双条件约束，Lucas == (not Grace or Ava)\np.addConstraint(lambda lucas, grace, ava: lucas == (not grace or ava), ['Lucas', 'Grace', 'Ava'])\n\n# Liam说：Grace是 knave当且仅当Grace是 knight。即 (not Grace) <-> Grace，这是一个矛盾式，只有当两边都为假时成立？不，等价式为 (not Grace) == Grace，所以只有当Grace为False时，左边是True，右边是False，不等；当Grace为True时，左边是False，右边是True，不等。所以这个约束应该是Liam == ( (not Grace) == Grace )\np.addConstraint(lambda liam, grace: liam == ((not grace) == grace), ['Liam', 'Grace'])\n\n# Ava说：Grace不是骑士。即 Ava == (not Grace)\np.addConstraint(lambda ava, grace: ava == (not grace), ['Ava', 'Grace'])\n\n# Grace说：Ava是 knave当且仅当Lucas是 knave。即 (not Ava) <-> (not Lucas)，等价于 Ava == Lucas\np.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})" ], "text": "{\"Lucas\": \"knave\", \"Ava\": \"knave\", \"Grace\": \"knight\", \"Liam\": \"knave\"}", "used_python_constraint": true, "duration_s": 49.707, "provider_receipts": [ { "turn": 1, "response_id": "0217853607995275e43bed6e99f957d955d5fe9d616876360d07c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1126, "completion_tokens": 471, "total_tokens": 1597, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853608028235e43bed6e99f957d955d5fe9d61687635f903c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1695, "completion_tokens": 548, "total_tokens": 2243, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853608063555e43bed6e99f957d955d5fe9d61687633b2e15", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2223, "completion_tokens": 574, "total_tokens": 2797, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853608100445e43bed6e99f957d955d5fe9d616876371881c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2751, "completion_tokens": 4157, "total_tokens": 6908, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853608308605e43bed6e99f957d955d5fe9d6168763e50132", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 3279, "completion_tokens": 4133, "total_tokens": 7412, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853608484685e43bed6e99f957d955d5fe9d61687634571e3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3808, "completion_tokens": 75, "total_tokens": 3883, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p5-r055", "num": 5, "pred": { "Olivia": "knave", "Victoria": "knave", "Mason": "knight", "Lily": "knight", "Abigail": "knave" }, "gold": { "Olivia": "knave", "Victoria": "knave", "Mason": "knight", "Lily": "knight", "Abigail": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people5_num100.jsonl", "file_sha256": "04a492522cdeb64a960632652b54e3fd27cc505fa8a1c48cf9c666cc8e7d6fb0", "row": 55, "dataset_index": 55 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Victoria', 'Mason', 'Lily', 'Abigail']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Mason: If Olivia is a knave then Victoria is a knave\nproblem.addConstraint(lambda mason, olivia, victoria: mason == (olivia or not victoria), ['Mason', 'Olivia', 'Victoria'])\n\n# Lily: Abigail is not a knight\nproblem.addConstraint(lambda lily, abigail: lily == (not abigail), ['Lily', 'Abigail'])\n\n# Victoria: Abigail is a knave if and only if Lily is a knave\nproblem.addConstraint(lambda victoria, abigail, lily: victoria == (abigail == lily), ['Victoria', 'Abigail', 'Lily'])\n\n# Abigail: Olivia is a knight or Victoria is a knight\nproblem.addConstraint(lambda abigail, olivia, victoria: abigail == (olivia or victoria), ['Abigail', 'Olivia', 'Victoria'])\n\n# Olivia: Lily is a knight and Abigail is a knight\nproblem.addConstraint(lambda olivia, lily, abigail: olivia == (lily and abigail), ['Olivia', 'Lily', 'Abigail'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Victoria', 'Mason', 'Lily', 'Abigail']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Mason: If Olivia is a knave then Victoria is a knave\nproblem.addConstraint(lambda mason, olivia, victoria: mason == (olivia or not victoria), ['Mason', 'Olivia', 'Victoria'])\n\n# Lily: Abigail is not a knight\nproblem.addConstraint(lambda lily, abigail: lily == (not abigail), ['Lily', 'Abigail'])\n\n# Victoria: Abigail is a knave if and only if Lily is a knave\nproblem.addConstraint(lambda victoria, abigail, lily: victoria == (abigail == lily), ['Victoria', 'Abigail', 'Lily'])\n\n# Abigail: Olivia is a knight or Victoria is a knight\nproblem.addConstraint(lambda abigail, olivia, victoria: abigail == (olivia or victoria), ['Abigail', 'Olivia', 'Victoria'])\n\n# Olivia: Lily is a knight and Abigail is a knight\nproblem.addConstraint(lambda olivia, lily, abigail: olivia == (lily and abigail), ['Olivia', 'Lily', 'Abigail'])\n\nsolutions = problem.getSolutions()\n\n# 提取第一个解（通常唯一解）\nif solutions:\n sol = solutions[0]\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)\nelse:\n print('No solution')", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Victoria', 'Mason', 'Lily', 'Abigail']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Mason: If Olivia is a knave then Victoria is a knave\nproblem.addConstraint(lambda mason, olivia, victoria: mason == (olivia or not victoria), ['Mason', 'Olivia', 'Victoria'])\n\n# Lily: Abigail is not a knight\nproblem.addConstraint(lambda lily, abigail: lily == (not abigail), ['Lily', 'Abigail'])\n\n# Victoria: Abigail is a knave if and only if Lily is a knave\nproblem.addConstraint(lambda victoria, abigail, lily: victoria == (abigail == lily), ['Victoria', 'Abigail', 'Lily'])\n\n# Abigail: Olivia is a knight or Victoria is a knight\nproblem.addConstraint(lambda abigail, olivia, victoria: abigail == (olivia or victoria), ['Abigail', 'Olivia', 'Victoria'])\n\n# Olivia: Lily is a knight and Abigail is a knight\nproblem.addConstraint(lambda olivia, lily, abigail: olivia == (lily and abigail), ['Olivia', 'Lily', 'Abigail'])\n\nsolutions = problem.getSolutions()\n\nif solutions:\n final_sol = {name: 'knight' if val else 'knave' for name, val in solutions[0].items()}\n print(final_sol)\nelse:\n print('No solution')" ], "text": "{\"Olivia\": \"knave\", \"Victoria\": \"knave\", \"Mason\": \"knight\", \"Lily\": \"knight\", \"Abigail\": \"knave\"}", "used_python_constraint": true, "duration_s": 19.592, "provider_receipts": [ { "turn": 1, "response_id": "0217853608492455e43bed6e99f957d955d5fe9d6168763a1a342", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1134, "completion_tokens": 524, "total_tokens": 1658, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853608523565e43bed6e99f957d955d5fe9d6168763ff7c71", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1774, "completion_tokens": 1576, "total_tokens": 3350, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853608602555e43bed6e99f957d955d5fe9d616876321770e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2201, "completion_tokens": 889, "total_tokens": 3090, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853608654795e43bed6e99f957d955d5fe9d6168763d1c2e8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2656, "completion_tokens": 487, "total_tokens": 3143, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853608682015e43bed6e99f957d955d5fe9d61687638d9b39", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3098, "completion_tokens": 76, "total_tokens": 3174, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p5-r092", "num": 5, "pred": { "Sophia": "knight", "Avery": "knave", "Michael": "knight", "Chloe": "knave", "Luke": "knave" }, "gold": { "Sophia": "knight", "Avery": "knave", "Michael": "knight", "Chloe": "knave", "Luke": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people5_num100.jsonl", "file_sha256": "04a492522cdeb64a960632652b54e3fd27cc505fa8a1c48cf9c666cc8e7d6fb0", "row": 92, "dataset_index": 92 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Sophia', 'Avery', 'Michael', 'Chloe', 'Luke'], [True, False])\n\n# Luke说：Avery是无赖当且仅当Michael是无赖\np.addConstraint(lambda luke, avery, michael: luke == (avery == michael), ['Luke', 'Avery', 'Michael'])\n\n# Michael说：Luke是无赖\np.addConstraint(lambda michael, luke: michael == (not luke), ['Michael', 'Luke'])\n\n# Chloe说：如果Michael是骑士，那么Michael是无赖\n# 逻辑表达式为：Michael -> Michael是无赖，即 not Michael or Michael是无赖，等价于 not Michael\np.addConstraint(lambda chloe, michael: chloe == (not michael), ['Chloe', 'Michael'])\n\n# Sophia说：Michael是无赖或者Michael是骑士\n# 这是一个永真式，所以约束为Sophia == True\np.addConstraint(lambda sophia: sophia == True, ['Sophia'])\n\n# Avery说：Sophia是骑士当且仅当Chloe是骑士\np.addConstraint(lambda avery, sophia, chloe: avery == (sophia == chloe), ['Avery', 'Sophia', 'Chloe'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k: 'knight' if v else 'knave' for k, v in sol.items()})" ], "text": "{\"Sophia\": \"knight\", \"Avery\": \"knave\", \"Michael\": \"knight\", \"Chloe\": \"knave\", \"Luke\": \"knave\"}", "used_python_constraint": true, "duration_s": 3.2, "provider_receipts": [ { "turn": 1, "response_id": "0217853608688465e43bed6e99f957d955d5fe9d61687639a8d5c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1137, "completion_tokens": 377, "total_tokens": 1514, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853608712425e43bed6e99f957d955d5fe9d616876353ca65", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1624, "completion_tokens": 78, "total_tokens": 1702, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p6-r080", "num": 6, "pred": null, "gold": { "Olivia": "knave", "Joseph": "knave", "Matthew": "knight", "Penelope": "knight", "Charlotte": "knight", "Liam": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people6_num100.jsonl", "file_sha256": "4b6131d749c47ce1580d0443e373112cc5f0e20f1b0245455b3df63b106580c5", "row": 80, "dataset_index": 80 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Joseph', 'Matthew', 'Penelope', 'Charlotte', 'Liam']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Penelope的陈述：If Joseph is a knave then Liam is a knight\nproblem.addConstraint(lambda joseph, liam: Penelope == (not joseph == liam), ['Joseph', 'Liam'])\n\n# Joseph的陈述：Penelope is a knave and Liam is a knave\nproblem.addConstraint(lambda joseph, penelope, liam: joseph == (not penelope and not liam), ['Joseph', 'Penelope', 'Liam'])\n\n# Charlotte的陈述：Matthew is a knight if and only if Olivia is a knave\nproblem.addConstraint(lambda matthew, olivia: Charlotte == (matthew == (not olivia)), ['Matthew', 'Olivia'])\n\n# Olivia的陈述：Olivia is a knight or Charlotte is a knave\nproblem.addConstraint(lambda olivia, charlotte: olivia == (olivia or not charlotte), ['Olivia', 'Charlotte'])\n\n# Matthew的陈述：Penelope is not a knave\nproblem.addConstraint(lambda matthew, penelope: matthew == penelope, ['Matthew', 'Penelope'])\n\n# Liam的陈述：Penelope is a knave or Olivia is a knave\nproblem.addConstraint(lambda liam, penelope, olivia: liam == (not penelope or not olivia), ['Liam', 'Penelope', 'Olivia'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Joseph', 'Matthew', 'Penelope', 'Charlotte', 'Liam']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Penelope的陈述：If Joseph是无赖则Liam是骑士，即 Penelope == (not Joseph == Liam)\nproblem.addConstraint(lambda joseph, liam: Penelope == (not joseph == liam), ['Joseph', 'Liam'])\n\n# Joseph的陈述：Penelope是无赖且Liam是无赖，即 Joseph == (not Penelope and not Liam)\nproblem.addConstraint(lambda joseph, penelope, liam: joseph == (not penelope and not liam), ['Joseph', 'Penelope', 'Liam'])\n\n# Charlotte的陈述：Matthew是骑士当且仅当Olivia是无赖，即 Charlotte == (Matthew == (not Olivia))\nproblem.addConstraint(lambda matthew, olivia: Charlotte == (matthew == (not olivia)), ['Matthew', 'Olivia'])\n\n# Olivia的陈述：Olivia是骑士或Charlotte是无赖，即 Olivia == (Olivia or not Charlotte)\nproblem.addConstraint(lambda olivia, charlotte: olivia == (olivia or not charlotte), ['Olivia', 'Charlotte'])\n\n# Matthew的陈述：Penelope不是无赖，即 Matthew == Penelope\nproblem.addConstraint(lambda matthew, penelope: matthew == penelope, ['Matthew', 'Penelope'])\n\n# Liam的陈述：Penelope是无赖或Olivia是无赖，即 Liam == (not Penelope or not Olivia)\nproblem.addConstraint(lambda liam, penelope, olivia: liam == (not penelope or not olivia), ['Liam', 'Penelope', 'Olivia'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Joseph', 'Matthew', 'Penelope', 'Charlotte', 'Liam']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Penelope的陈述：If Joseph is a knave then Liam is a knight，逻辑为¬Joseph ∨ Liam，所以Penelope == (not joseph or liam)\nproblem.addConstraint(lambda joseph, liam, penelope: penelope == (not joseph or liam), ['Joseph', 'Liam', 'Penelope'])\n\n# Joseph的陈述：Penelope is a knave and Liam is a knave，即joseph == (not penelope and not liam)\nproblem.addConstraint(lambda joseph, penelope, liam: joseph == (not penelope and not liam), ['Joseph', 'Penelope', 'Liam'])\n\n# Charlotte的陈述：Matthew is a knight if and only if Olivia is a knave，即charlotte == (matthew == (not olivia))\nproblem.addConstraint(lambda matthew, olivia, charlotte: charlotte == (matthew == (not olivia)), ['Matthew', 'Olivia', 'Charlotte'])\n\n# Olivia的陈述：Olivia is a knight or Charlotte is a knave，即olivia == (olivia or not charlotte)\nproblem.addConstraint(lambda olivia, charlotte: olivia == (olivia or not charlotte), ['Olivia', 'Charlotte'])\n\n# Matthew的陈述：Penelope is not a knave，即matthew == penelope\nproblem.addConstraint(lambda matthew, penelope: matthew == penelope, ['Matthew', 'Penelope'])\n\n# Liam的陈述：Penelope is a knave or Olivia is a knave，即liam == (not penelope or not olivia)\nproblem.addConstraint(lambda liam, penelope, olivia: liam == (not penelope or not olivia), ['Liam', 'Penelope', 'Olivia'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Joseph', 'Matthew', 'Penelope', 'Charlotte', 'Liam']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Penelope的陈述：If Joseph is a knave then Liam is a knight，即¬Joseph → Liam，等价于Penelope == (not joseph or liam)\nproblem.addConstraint(lambda joseph, liam, penelope: penelope == (not joseph or liam), ['Joseph', 'Liam', 'Penelope'])\n\n# Joseph的陈述：Penelope is a knave and Liam is a knave，即joseph == (not penelope and not liam)\nproblem.addConstraint(lambda joseph, penelope, liam: joseph == (not penelope and not liam), ['Joseph', 'Penelope', 'Liam'])\n\n# Charlotte的陈述：Matthew is a knight if and only if Olivia is a knave，即charlotte == (matthew == (not olivia))\nproblem.addConstraint(lambda matthew, olivia, charlotte: charlotte == (matthew == (not olivia)), ['Matthew', 'Olivia', 'Charlotte'])\n\n# Olivia的陈述：Olivia is a knight or Charlotte is a knave，即olivia == (olivia or not charlotte)\nproblem.addConstraint(lambda olivia, charlotte: olivia == (olivia or not charlotte), ['Olivia', 'Charlotte'])\n\n# Matthew的陈述：Penelope is not a knave，即matthew == penelope\nproblem.addConstraint(lambda matthew, penelope: matthew == penelope, ['Matthew', 'Penelope'])\n\n# Liam的陈述：Penelope is a knave or Olivia is a knave，即liam == (not penelope or not olivia)\nproblem.addConstraint(lambda liam, penelope, olivia: liam == (not penelope or not olivia), ['Liam', 'Penelope', 'Olivia'])\n\nsolutions = problem.getSolutions()\n\nresult_dict = {} \nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n result_dict = result\n\nprint(result_dict)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Joseph', 'Matthew', 'Penelope', 'Charlotte', 'Liam']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Penelope的陈述：If Joseph is a knave then Liam is a knight，即¬Joseph → Liam，等价于Penelope == (not joseph or liam)\nproblem.addConstraint(lambda joseph, liam, penelope: penelope == (not joseph or liam), ['Joseph', 'Liam', 'Penelope'])\n\n# Joseph的陈述：Penelope is a knave and Liam is a knave，即joseph == (not penelope and not liam)\nproblem.addConstraint(lambda joseph, penelope, liam: joseph == (not penelope and not liam), ['Joseph', 'Penelope', 'Liam'])\n\n# Charlotte的陈述：Matthew is a knight if and only if Olivia is a knave，即charlotte == (matthew == (not olivia))\nproblem.addConstraint(lambda matthew, olivia, charlotte: charlotte == (matthew == (not olivia)), ['Matthew', 'Olivia', 'Charlotte'])\n\n# Olivia的陈述：Olivia is a knight or Charlotte is a knave，即olivia == (olivia or not charlotte)\nproblem.addConstraint(lambda olivia, charlotte: olivia == (olivia or not charlotte), ['Olivia', 'Charlotte'])\n\n# Matthew的陈述：Penelope is not a knave，即matthew == penelope\nproblem.addConstraint(lambda matthew, penelope: matthew == penelope, ['Matthew', 'Penelope'])\n\n# Liam的陈述：Penelope is a knave or Olivia is a knave，即liam == (not penelope or not olivia)\nproblem.addConstraint(lambda liam, penelope, olivia: liam == (not penelope or not olivia), ['Liam', 'Penelope', 'Olivia'])\n\nsolutions = problem.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nprint(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Joseph', 'Matthew', 'Penelope', 'Charlotte', 'Liam']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Penelope的陈述：If Joseph is a knave then Liam is a knight，即¬Joseph → Liam，等价于Penelope == (not joseph or liam)\nproblem.addConstraint(lambda joseph, liam, penelope: penelope == (not joseph or liam), ['Joseph', 'Liam', 'Penelope'])\n\n# Joseph的陈述：Penelope is a knave and Liam is a knave，即joseph == (not penelope and not liam)\nproblem.addConstraint(lambda joseph, penelope, liam: joseph == (not penelope and not liam), ['Joseph', 'Penelope', 'Liam'])\n\n# Charlotte的陈述：Matthew is a knight if and only if Olivia is a knave，即charlotte == (matthew == (not olivia))\nproblem.addConstraint(lambda matthew, olivia, charlotte: charlotte == (matthew == (not olivia)), ['Matthew', 'Olivia', 'Charlotte'])\n\n# Olivia的陈述：Olivia is a knight or Charlotte is a knave，即olivia == (olivia or not charlotte)\nproblem.addConstraint(lambda olivia, charlotte: olivia == (olivia or not charlotte), ['Olivia', 'Charlotte'])\n\n# Matthew的陈述：Penelope is not a knave，即matthew == penelope\nproblem.addConstraint(lambda matthew, penelope: matthew == penelope, ['Matthew', 'Penelope'])\n\n# Liam的陈述：Penelope is a knave or Olivia is a knave，即liam == (not penelope or not olivia)\nproblem.addConstraint(lambda liam, penelope, olivia: liam == (not penelope or not olivia), ['Liam', 'Penelope', 'Olivia'])\n\nsolutions = problem.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nprint(final_result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Olivia', 'Joseph', 'Matthew', 'Penelope', 'Charlotte', 'Liam']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Penelope的陈述：If Joseph is a knave then Liam is a knight，即¬Joseph → Liam，等价于Penelope == (not joseph or liam)\nproblem.addConstraint(lambda joseph, liam, penelope: penelope == (not joseph or liam), ['Joseph', 'Liam', 'Penelope'])\n\n# Joseph的陈述：Penelope is a knave and Liam is a knave，即joseph == (not penelope and not liam)\nproblem.addConstraint(lambda joseph, penelope, liam: joseph == (not penelope and not liam), ['Joseph', 'Penelope', 'Liam'])\n\n# Charlotte的陈述：Matthew is a knight if and only if Olivia is a knave，即charlotte == (matthew == (not olivia))\nproblem.addConstraint(lambda matthew, olivia, charlotte: charlotte == (matthew == (not olivia)), ['Matthew', 'Olivia', 'Charlotte'])\n\n# Olivia的陈述：Olivia is a knight or Charlotte is a knave，即olivia == (olivia or not charlotte)\nproblem.addConstraint(lambda olivia, charlotte: olivia == (olivia or not charlotte), ['Olivia', 'Charlotte'])\n\n# Matthew的陈述：Penelope is not a knave，即matthew == penelope\nproblem.addConstraint(lambda matthew, penelope: matthew == penelope, ['Matthew', 'Penelope'])\n\n# Liam的陈述：Penelope is a knave or Olivia is a knave，即liam == (not penelope or not olivia)\nproblem.addConstraint(lambda liam, penelope, olivia: liam == (not penelope or not olivia), ['Liam', 'Penelope', 'Olivia'])\n\nsolutions = problem.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nprint(result)" ], "text": "", "used_python_constraint": true, "duration_s": 67.692, "provider_receipts": [ { "turn": 1, "response_id": "0217853608720615e43bed6e99f957d955d5fe9d61687635105c9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1161, "completion_tokens": 551, "total_tokens": 1712, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853608754245e43bed6e99f957d955d5fe9d6168763d5e356", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1823, "completion_tokens": 3365, "total_tokens": 5188, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853608910875e43bed6e99f957d955d5fe9d616876339d89d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2814, "completion_tokens": 4966, "total_tokens": 7780, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853609117875e43bed6e99f957d955d5fe9d61687635eeb07", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3857, "completion_tokens": 1237, "total_tokens": 5094, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853609177125e43bed6e99f957d955d5fe9d6168763b5b20b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4498, "completion_tokens": 2313, "total_tokens": 6811, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853609289915e43bed6e99f957d955d5fe9d6168763f7cf6f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5105, "completion_tokens": 664, "total_tokens": 5769, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853609323825e43bed6e99f957d955d5fe9d6168763f81a2e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5704, "completion_tokens": 663, "total_tokens": 6367, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853609358665e43bed6e99f957d955d5fe9d61687635876e7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 6306, "completion_tokens": 729, "total_tokens": 7035, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "reorder_statement-p6-r085", "num": 6, "pred": { "David": "knave", "Ava": "knave", "Riley": "knave", "Aiden": "knave", "Sebastian": "knave", "Abigail": "knave" }, "gold": { "David": "knave", "Ava": "knave", "Riley": "knave", "Aiden": "knave", "Sebastian": "knave", "Abigail": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people6_num100.jsonl", "file_sha256": "4b6131d749c47ce1580d0443e373112cc5f0e20f1b0245455b3df63b106580c5", "row": 85, "dataset_index": 85 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\nresidents = ['David', 'Ava', 'Riley', 'Aiden', 'Sebastian', 'Abigail']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# David: Riley is not a knave -> David == Riley\np.addConstraint(lambda d, r: d == r, ['David', 'Riley'])\n\n# Abigail: Riley is a knight or Sebastian is a knight -> Abigail == (r or s)\np.addConstraint(lambda a, r, s: a == (r or s), ['Abigail', 'Riley', 'Sebastian'])\n\n# Ava: Sebastian is a knight and Abigail is a knight -> Ava == (s and a)\np.addConstraint(lambda av, s, a: av == (s and a), ['Ava', 'Sebastian', 'Abigail'])\n\n# Riley: David is a knave and Aiden is a knight -> Riley == (not d and ai)\np.addConstraint(lambda r, d, ai: r == (not d and ai), ['Riley', 'David', 'Aiden'])\n\n# Sebastian: David is a knight -> Sebastian == d\np.addConstraint(lambda s, d: s == d, ['Sebastian', 'David'])\n\n# Aiden: David is a knight and Sebastian is a knight -> Aiden == (d and s)\np.addConstraint(lambda ai, d, s: ai == (d and s), ['Aiden', 'David', 'Sebastian'])\n\nsolutions = p.getSolutions()\nresult = {}\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\nprint(result)", "from constraint import Problem\n\np = Problem()\nresidents = ['David', 'Ava', 'Riley', 'Aiden', 'Sebastian', 'Abigail']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# David: Riley is not a knave -> David == Riley\np.addConstraint(lambda d, r: d == r, ['David', 'Riley'])\n\n# Abigail: Riley is a knight or Sebastian is a knight -> Abigail == (r or s)\np.addConstraint(lambda a, r, s: a == (r or s), ['Abigail', 'Riley', 'Sebastian'])\n\n# Ava: Sebastian is a knight and Abigail is a knight -> Ava == (s and a)\np.addConstraint(lambda av, s, a: av == (s and a), ['Ava', 'Sebastian', 'Abigail'])\n\n# Riley: David is a knave and Aiden is a knight -> Riley == (not d and ai)\np.addConstraint(lambda r, d, ai: r == (not d and ai), ['Riley', 'David', 'Aiden'])\n\n# Sebastian: David is a knight -> Sebastian == d\np.addConstraint(lambda s, d: s == d, ['Sebastian', 'David'])\n\n# Aiden: David is a knight and Sebastian is a knight -> Aiden == (d and s)\np.addConstraint(lambda ai, d, s: ai == (d and s), ['Aiden', 'David', 'Sebastian'])\n\nsolutions = p.getSolutions()\nresult = {} \nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\nprint(result)\nimport json\nprint(json.dumps(result))" ], "text": "{\"David\": \"knave\", \"Ava\": \"knave\", \"Riley\": \"knave\", \"Aiden\": \"knave\", \"Sebastian\": \"knave\", \"Abigail\": \"knave\"}", "used_python_constraint": true, "duration_s": 15.234, "provider_receipts": [ { "turn": 1, "response_id": "0217853609397625e43bed6e99f957d955d5fe9d6168763751a90", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1144, "completion_tokens": 570, "total_tokens": 1714, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609426855e43bed6e99f957d955d5fe9d616876369d8a8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1825, "completion_tokens": 1781, "total_tokens": 3606, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853609516435e43bed6e99f957d955d5fe9d61687636ae1c9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2310, "completion_tokens": 515, "total_tokens": 2825, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853609543285e43bed6e99f957d955d5fe9d61687639868f8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2853, "completion_tokens": 85, "total_tokens": 2938, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p7-r067", "num": 7, "pred": { "Avery": "knight", "Liam": "knight", "William": "knave", "James": "knight", "Isabella": "knave", "Riley": "knave", "Ava": "knave" }, "gold": { "Avery": "knight", "Liam": "knight", "William": "knave", "James": "knight", "Isabella": "knave", "Riley": "knave", "Ava": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people7_num100.jsonl", "file_sha256": "d3051b151ef7e5c47a9cd69b09b52f1ec94c7f899821ec685e286e578c7932c5", "row": 67, "dataset_index": 67 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\npeople = ['Avery', 'Liam', 'William', 'James', 'Isabella', 'Riley', 'Ava']\nfor person in people:\n p.addVariable(person, [True, False])\n\n# Avery说：\"William是无赖或者Isabella是无赖\" -> Avery == (not William) or (not Isabella)\ndef avery_constraint(avery, william, isabella):\n return avery == ((not william) or (not isabella))\np.addConstraint(avery_constraint, ['Avery', 'William', 'Isabella'])\n\n# James说：\"Liam不是无赖\" -> James == Liam\ndef james_constraint(james, liam):\n return james == liam\np.addConstraint(james_constraint, ['James', 'Liam'])\n\n# Isabella说：\"Liam是骑士当且仅当Liam是无赖\" -> Isabella == (Liam == not Liam)\n# 因为Liam == not Liam 等价于 False，所以Isabella == False\ndef isabella_constraint(isabella, liam):\n return isabella == (liam == not liam)\np.addConstraint(isabella_constraint, ['Isabella', 'Liam'])\n\n# Riley说：\"Isabella是骑士\" -> Riley == Isabella\ndef riley_constraint(riley, isabella):\n return riley == isabella\np.addConstraint(riley_constraint, ['Riley', 'Isabella'])\n\n# William说：\"James是无赖且Ava是无赖\" -> William == (not James) and (not Ava)\ndef william_constraint(william, james, ava):\n return william == ((not james) and (not ava))\np.addConstraint(william_constraint, ['William', 'James', 'Ava'])\n\n# Ava说：\"Liam是无赖或者Isabella是骑士\" -> Ava == (not Liam) or isabella\ndef ava_constraint(ava, liam, isabella):\n return ava == ((not liam) or isabella)\np.addConstraint(ava_constraint, ['Ava', 'Liam', 'Isabella'])\n\n# Liam说：\"Avery是骑士或者Isabella是无赖\" -> Liam == avery or (not isabella)\ndef liam_constraint(liam, avery, isabella):\n return liam == (avery or (not isabella))\np.addConstraint(liam_constraint, ['Liam', 'Avery', 'Isabella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor solution in solutions:\n result = {person: 'knight' if solution[person] else 'knave' for person in people}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\npeople = ['Avery', 'Liam', 'William', 'James', 'Isabella', 'Riley', 'Ava']\nfor person in people:\n p.addVariable(person, [True, False])\n\n# Avery说：\"William是无赖或者Isabella是无赖\" -> Avery == (not William) or (not Isabella)\ndef avery_constraint(avery, william, isabella):\n return avery == ((not william) or (not isabella))\np.addConstraint(avery_constraint, ['Avery', 'William', 'Isabella'])\n\n# James说：\"Liam不是无赖\" -> James == Liam\ndef james_constraint(james, liam):\n return james == liam\np.addConstraint(james_constraint, ['James', 'Liam'])\n\n# Isabella说：\"Liam是骑士当且仅当Liam是无赖\"，因为Liam是骑士当且仅当Liam是无赖是假的，所以Isabella的话为假，即Isabella == False\ndef isabella_constraint(isabella, liam):\n return isabella == False\np.addConstraint(isabella_constraint, ['Isabella', 'Liam'])\n\n# Riley说：\"Isabella是骑士\" -> Riley == Isabella\ndef riley_constraint(riley, isabella):\n return riley == isabella\np.addConstraint(riley_constraint, ['Riley', 'Isabella'])\n\n# William说：\"James是无赖且Ava是无赖\" -> William == (not James) and (not Ava)\ndef william_constraint(william, james, ava):\n return william == ((not james) and (not ava))\np.addConstraint(william_constraint, ['William', 'James', 'Ava'])\n\n# Ava说：\"Liam是无赖或者Isabella是骑士\" -> Ava == (not Liam) or isabella\ndef ava_constraint(ava, liam, isabella):\n return ava == ((not liam) or isabella)\np.addConstraint(ava_constraint, ['Ava', 'Liam', 'Isabella'])\n\n# Liam说：\"Avery是骑士或者Isabella是无赖\" -> Liam == avery or (not isabella)\ndef liam_constraint(liam, avery, isabella):\n return liam == (avery or (not isabella))\np.addConstraint(liam_constraint, ['Liam', 'Avery', 'Isabella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor solution in solutions:\n result = {person: 'knight' if solution[person] else 'knave' for person in people}\n print(result)", "# 之前的代码已经正确求解，这里直接根据结果构造最终答案\nresult = {'Avery': 'knight', 'Liam': 'knight', 'William': 'knave', 'James': 'knight', 'Isabella': 'knave', 'Riley': 'knave', 'Ava': 'knave'}\nprint(result)" ], "text": "{\"Avery\": \"knight\", \"Liam\": \"knight\", \"William\": \"knave\", \"James\": \"knight\", \"Isabella\": \"knave\", \"Riley\": \"knave\", \"Ava\": \"knave\"}", "used_python_constraint": true, "duration_s": 9.71, "provider_receipts": [ { "turn": 1, "response_id": "0217853609550085e43bed6e99f957d955d5fe9d6168763e0118a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1173, "completion_tokens": 681, "total_tokens": 1854, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609585175e43bed6e99f957d955d5fe9d616876316ea34", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1997, "completion_tokens": 772, "total_tokens": 2769, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853609628415e43bed6e99f957d955d5fe9d61687637f2736", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2753, "completion_tokens": 199, "total_tokens": 2952, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853609640495e43bed6e99f957d955d5fe9d6168763e9ac3e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2929, "completion_tokens": 91, "total_tokens": 3020, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p7-r092", "num": 7, "pred": { "Abigail": "knight", "Sophia": "knave", "Logan": "knight", "Owen": "knight", "Joseph": "knave", "Aiden": "knave", "Matthew": "knave" }, "gold": { "Abigail": "knight", "Sophia": "knave", "Logan": "knight", "Owen": "knight", "Joseph": "knave", "Aiden": "knave", "Matthew": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people7_num100.jsonl", "file_sha256": "d3051b151ef7e5c47a9cd69b09b52f1ec94c7f899821ec685e286e578c7932c5", "row": 92, "dataset_index": 92 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义居民变量，True表示骑士，False表示无赖\nresidents = ['Abigail', 'Sophia', 'Logan', 'Owen', 'Joseph', 'Aiden', 'Matthew']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Aiden说'Owen是个无赖' -> Aiden == (Owen是无赖) -> Aiden == (not Owen)\np.addConstraint(lambda aiden, owen: aiden == (not owen), ['Aiden', 'Owen'])\n\n# Matthew说'Joseph是无赖当且仅当Sophia是骑士' -> Matthew == (Joseph是无赖 <-> Sophia是骑士) -> Matthew == ((not Joseph) == Sophia)\np.addConstraint(lambda matthew, joseph, sophia: matthew == ((not joseph) == sophia), ['Matthew', 'Joseph', 'Sophia'])\n\n# Logan说'Abigail不是无赖' -> Logan == (Abigail不是无赖) -> Logan == Abigail\np.addConstraint(lambda logan, abigail: logan == abigail, ['Logan', 'Abigail'])\n\n# Abigail说'Matthew是无赖或者Logan是骑士' -> Abigail == (Matthew是无赖 or Logan是骑士) -> Abigail == ((not Matthew) or logan)\np.addConstraint(lambda abigail, matthew, logan: abigail == ((not matthew) or logan), ['Abigail', 'Matthew', 'Logan'])\n\n# Owen说'如果Aiden是骑士那么Matthew是骑士' -> Owen == (Aiden是骑士 -> Matthew是骑士) -> Owen == (not Aiden or matthew)\np.addConstraint(lambda owen, aiden, matthew: owen == ((not aiden) or matthew), ['Owen', 'Aiden', 'Matthew'])\n\n# Joseph说'Abigail不是骑士' -> Joseph == (Abigail不是骑士) -> Joseph == (not abigail)\np.addConstraint(lambda joseph, abigail: joseph == (not abigail), ['Joseph', 'Abigail'])\n\n# Sophia说'Owen是无赖当且仅当Joseph是无赖' -> Sophia == (Owen是无赖 <-> Joseph是无赖) -> Sophia == ((not owen) == (not joseph))\np.addConstraint(lambda sophia, owen, joseph: sophia == ((not owen) == (not joseph)), ['Sophia', 'Owen', 'Joseph'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)\n\n" ], "text": "{\"Abigail\": \"knight\", \"Sophia\": \"knave\", \"Logan\": \"knight\", \"Owen\": \"knight\", \"Joseph\": \"knave\", \"Aiden\": \"knave\", \"Matthew\": \"knave\"}", "used_python_constraint": true, "duration_s": 4.375, "provider_receipts": [ { "turn": 1, "response_id": "0217853609647305e43bed6e99f957d955d5fe9d6168763a5e00a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1170, "completion_tokens": 632, "total_tokens": 1802, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609684105e43bed6e99f957d955d5fe9d6168763ffefd3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1927, "completion_tokens": 90, "total_tokens": 2017, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p8-r002", "num": 8, "pred": { "Isabella": "knight", "Avery": "knight", "Ella": "knight", "Matthew": "knight", "Luke": "knight", "Mia": "knight", "Scarlett": "knight", "Benjamin": "knight" }, "gold": { "Isabella": "knight", "Avery": "knight", "Ella": "knight", "Matthew": "knight", "Luke": "knight", "Mia": "knight", "Scarlett": "knight", "Benjamin": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people8_num100.jsonl", "file_sha256": "3710c66680d201ebf3d6d243fa9f54ee7e5ce35570ed44f87cd5111b05dc1d9b", "row": 2, "dataset_index": 2 }, "codes": [ "from constraint import Problem\n\n# 定义变量，True表示骑士，False表示无赖\nvariables = ['Isabella', 'Avery', 'Ella', 'Matthew', 'Luke', 'Mia', 'Scarlett', 'Benjamin']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Benjamin 说：Mia 不是 knave（即 Mia 是骑士）\nproblem.addConstraint(lambda Benjamin, Mia: Benjamin == Mia, ['Benjamin', 'Mia'])\n\n# Avery 说：如果 Ella 是 knave，那么 Matthew 是 knave\n# 逻辑表达式为：not Ella -> not Matthew，等价于 Ella or not Matthew\nproblem.addConstraint(lambda Avery, Ella, Matthew: Avery == (Ella or not Matthew), ['Avery', 'Ella', 'Matthew'])\n\n# Scarlett 说：Isabella 不是 knave（即 Isabella 是骑士）\nproblem.addConstraint(lambda Scarlett, Isabella: Scarlett == Isabella, ['Scarlett', 'Isabella'])\n\n# Ella 说：Luke 是骑士\nproblem.addConstraint(lambda Ella, Luke: Ella == Luke, ['Ella', 'Luke'])\n\n# Mia 说：如果 Ella 是 knave，那么 Benjamin 是 knave\n# 逻辑表达式为：not Ella -> not Benjamin，等价于 Ella or not Benjamin\nproblem.addConstraint(lambda Mia, Ella, Benjamin: Mia == (Ella or not Benjamin), ['Mia', 'Ella', 'Benjamin'])\n\n# Matthew 说：Avery 是骑士或者 Matthew 是骑士\n# 逻辑表达式为：Avery or Matthew\nproblem.addConstraint(lambda Matthew, Avery: Matthew == (Avery or Matthew), ['Matthew', 'Avery'])\n\n# Luke 说：如果 Avery 是 knave，那么 Luke 是骑士\n# 逻辑表达式为：not Avery -> Luke，等价于 Avery or Luke\nproblem.addConstraint(lambda Luke, Avery: Luke == (Avery or Luke), ['Luke', 'Avery'])\n\n# Isabella 说：Matthew 是骑士\nproblem.addConstraint(lambda Isabella, Matthew: Isabella == Matthew, ['Isabella', 'Matthew'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)" ], "text": "{\"Isabella\": \"knight\", \"Avery\": \"knight\", \"Ella\": \"knight\", \"Matthew\": \"knight\", \"Luke\": \"knight\", \"Mia\": \"knight\", \"Scarlett\": \"knight\", \"Benjamin\": \"knight\"}", "used_python_constraint": true, "duration_s": 4.156, "provider_receipts": [ { "turn": 1, "response_id": "0217853609691205e43bed6e99f957d955d5fe9d61687635605e2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1174, "completion_tokens": 572, "total_tokens": 1746, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609724035e43bed6e99f957d955d5fe9d6168763892c69", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1881, "completion_tokens": 119, "total_tokens": 2000, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "reorder_statement-p8-r014", "num": 8, "pred": { "Avery": "knight", "Sophia": "knight", "Lily": "knight", "Penelope": "knave", "Oliver": "knave", "Jackson": "knave", "Sebastian": "knight", "Samuel": "knave" }, "gold": { "Avery": "knight", "Sophia": "knight", "Lily": "knight", "Penelope": "knave", "Oliver": "knave", "Jackson": "knave", "Sebastian": "knight", "Samuel": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "reorder_statement", "path": "test/reorder_statement/people8_num100.jsonl", "file_sha256": "3710c66680d201ebf3d6d243fa9f54ee7e5ce35570ed44f87cd5111b05dc1d9b", "row": 14, "dataset_index": 14 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Avery', 'Sophia', 'Lily', 'Penelope', 'Oliver', 'Jackson', 'Sebastian', 'Samuel']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Lily的陈述：Avery是骑士当且仅当Samuel是无赖\nproblem.addConstraint(lambda lily, avery, samuel: lily == (avery == (not samuel)), ['Lily', 'Avery', 'Samuel'])\n\n# Sophia的陈述：Lily是骑士且Sophia是骑士\nproblem.addConstraint(lambda sophia, lily: sophia == (lily and sophia), ['Sophia', 'Lily'])\n\n# Penelope的陈述：Sebastian不是骑士\nproblem.addConstraint(lambda penelope, sebastian: penelope == (not sebastian), ['Penelope', 'Sebastian'])\n\n# Oliver的陈述：Lily是无赖\nproblem.addConstraint(lambda oliver, lily: oliver == (not lily), ['Oliver', 'Lily'])\n\n# Samuel的陈述：Lily是无赖当且仅当Sebastian是骑士\nproblem.addConstraint(lambda samuel, lily, sebastian: samuel == ((not lily) == sebastian), ['Samuel', 'Lily', 'Sebastian'])\n\n# Jackson的陈述：Sophia是无赖且Samuel是骑士\nproblem.addConstraint(lambda jackson, sophia, samuel: jackson == ((not sophia) and samuel), ['Jackson', 'Sophia', 'Samuel'])\n\n# Sebastian的陈述：Avery是无赖或者Sophia是骑士\nproblem.addConstraint(lambda sebastian, avery, sophia: sebastian == ((not avery) or sophia), ['Sebastian', 'Avery', 'Sophia'])\n\n# Avery的陈述：如果Penelope是骑士，那么Lily是骑士\nproblem.addConstraint(lambda avery, penelope, lily: avery == (not penelope or lily), ['Avery', 'Penelope', 'Lily'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "# 之前的代码已经执行，这里直接根据结果构造最终答案\nfinal_result = {'Avery': 'knight', 'Sophia': 'knight', 'Lily': 'knight', 'Penelope': 'knave', 'Oliver': 'knave', 'Jackson': 'knave', 'Sebastian': 'knight', 'Samuel': 'knave'}\nimport json\nprint(json.dumps(final_result))" ], "text": "{\"Avery\": \"knight\", \"Sophia\": \"knight\", \"Lily\": \"knight\", \"Penelope\": \"knave\", \"Oliver\": \"knave\", \"Jackson\": \"knave\", \"Sebastian\": \"knight\", \"Samuel\": \"knave\"}", "used_python_constraint": true, "duration_s": 9.047, "provider_receipts": [ { "turn": 1, "response_id": "0217853609732895e43bed6e99f957d955d5fe9d6168763f4a8db", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1193, "completion_tokens": 551, "total_tokens": 1744, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609763045e43bed6e99f957d955d5fe9d61687633d0914", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1859, "completion_tokens": 851, "total_tokens": 2710, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853609805335e43bed6e99f957d955d5fe9d6168763460e49", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2478, "completion_tokens": 158, "total_tokens": 2636, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853609816665e43bed6e99f957d955d5fe9d6168763f9896a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2675, "completion_tokens": 99, "total_tokens": 2774, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p2-r013", "num": 2, "pred": null, "gold": { "Aria": "knight", "Benjamin": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people2_num100.jsonl", "file_sha256": "92b9d18d12ea3eaaa0a49daa03f519b5c5f66614bf724e541e9c00e1b9be24ae", "row": 13, "dataset_index": 13 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示saint，False表示sinner\np.addVariable('Aria', [True, False])\np.addVariable('Benjamin', [True, False])\n\n# Aria说'Benjamin是saint或者Aria是saint'，根据规则，Aria == (Benjamin or Aria)\np.addConstraint(lambda aria, benjamin: aria == (benjamin or aria), ['Aria', 'Benjamin'])\n\n# Benjamin说'Aria是sinner'，即Benjamin == (not Aria)\np.addConstraint(lambda benjamin, aria: benjamin == (not aria), ['Benjamin', 'Aria'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k:('saint' if v else'sinner') for k, v in sol.items()})" ], "text": "{\"Aria\": \"saint\", \"Benjamin\": \"sinner\"}", "used_python_constraint": true, "duration_s": 2.209, "provider_receipts": [ { "turn": 1, "response_id": "0217853609823845e43bed6e99f957d955d5fe9d61687639f32b2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1084, "completion_tokens": 216, "total_tokens": 1300, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609840225e43bed6e99f957d955d5fe9d6168763c17dd1", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1386, "completion_tokens": 50, "total_tokens": 1436, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p2-r014", "num": 2, "pred": null, "gold": { "Jack": "knave", "Mason": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people2_num100.jsonl", "file_sha256": "92b9d18d12ea3eaaa0a49daa03f519b5c5f66614bf724e541e9c00e1b9be24ae", "row": 14, "dataset_index": 14 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示天使，False表示魔鬼\np.addVariable('Jack', [True, False])\np.addVariable('Mason', [True, False])\n\n# Jack说：'Mason是魔鬼且Jack是天使'，根据双条件约束，Jack == (Mason是魔鬼 and Jack是天使)\ndef jack_constraint(jack, mason):\n return jack == (not mason and jack)\n\np.addConstraint(jack_constraint, ['Jack', 'Mason'])\n\n# Mason说：'Jack是天使'，根据双条件约束，Mason == (Jack是天使)\ndef mason_constraint(mason, jack):\n return mason == jack\n\np.addConstraint(mason_constraint, ['Mason', 'Jack'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n jack_status = 'angel' if sol['Jack'] else 'devil'\n mason_status = 'angel' if sol['Mason'] else 'devil'\n print(f'Jack is {jack_status}, Mason is {mason_status}')\n\nimport json\n# 构造最终答案的JSON格式\nfinal_answer = {}\nfor sol in solutions:\n final_answer['Jack'] = 'angel' if sol['Jack'] else 'devil'\n final_answer['Mason'] = 'angel' if sol['Mason'] else 'devil'\nprint(json.dumps(final_answer))" ], "text": "{\"Jack\": \"devil\", \"Mason\": \"devil\"}", "used_python_constraint": true, "duration_s": 2.833, "provider_receipts": [ { "turn": 1, "response_id": "0217853609846025e43bed6e99f957d955d5fe9d61687635933be", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1079, "completion_tokens": 364, "total_tokens": 1443, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609868865e43bed6e99f957d955d5fe9d6168763ef8471", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1537, "completion_tokens": 62, "total_tokens": 1599, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p3-r054", "num": 3, "pred": null, "gold": { "Jackson": "knight", "Henry": "knave", "Liam": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people3_num100.jsonl", "file_sha256": "6eb60022244be6fa25d372d1580eb8dddfb06914d7290dbe1d64c9cb57c1f612", "row": 54, "dataset_index": 54 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示英雄，False表示反派\np.addVariable('Jackson', [True, False])\np.addVariable('Henry', [True, False])\np.addVariable('Liam', [True, False])\n\n# Jackson说：'Liam是英雄或者Liam是反派'，根据规则，Jackson == (Liam是英雄 or Liam是反派)，而Liam是英雄或反派是永真式，所以Jackson的话恒真，所以Jackson == True\np.addConstraint(lambda j, l: j == (l or not l), ['Jackson', 'Liam'])\n\n# Henry说：'Liam是反派且Jackson是反派'，所以Henry == (not Liam and not Jackson)\np.addConstraint(lambda h, l, j: h == (not l and not j), ['Henry', 'Liam', 'Jackson'])\n\n# Liam说：'Henry是英雄'，所以Liam == Henry\np.addConstraint(lambda l, h: l == h, ['Liam', 'Henry'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n print({k:('hero' if v else 'villain') for k,v in sol.items()})" ], "text": "{\"Jackson\": \"hero\", \"Henry\": \"villain\", \"Liam\": \"villain\"}", "used_python_constraint": true, "duration_s": 2.516, "provider_receipts": [ { "turn": 1, "response_id": "0217853609874295e43bed6e99f957d955d5fe9d6168763cabd3e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1095, "completion_tokens": 312, "total_tokens": 1407, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609893995e43bed6e99f957d955d5fe9d616876320ad28", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1497, "completion_tokens": 66, "total_tokens": 1563, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p3-r075", "num": 3, "pred": null, "gold": { "Mason": "knight", "Jack": "knight", "Harper": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people3_num100.jsonl", "file_sha256": "6eb60022244be6fa25d372d1580eb8dddfb06914d7290dbe1d64c9cb57c1f612", "row": 75, "dataset_index": 75 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示saint，False表示sinner\np.addVariable('Mason', [True, False])\np.addVariable('Jack', [True, False])\np.addVariable('Harper', [True, False])\n\n# Mason说'Harper不是sinner'，即Mason是saint当且仅当Harper不是sinner（Harper是saint）\ndef mason_constraint(mason, harper):\n return mason == (harper is True)\np.addConstraint(mason_constraint, ['Mason', 'Harper'])\n\n# Jack说'如果Jack是saint那么Harper是saint'，逻辑表达式为Jack→Harper，等价于not Jack or Harper，所以Jack是saint当且仅当这个式子为真\ndef jack_constraint(jack, harper):\n return jack == (not jack or harper)\np.addConstraint(jack_constraint, ['Jack', 'Harper'])\n\n# Harper说'Jack是saint或Mason是sinner'，即Harper是saint当且仅当Jack是saint或者Mason是sinner\ndef harper_constraint(harper, jack, mason):\n return harper == (jack is True or mason is False)\np.addConstraint(harper_constraint, ['Harper', 'Jack', 'Mason'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {}\n for name, is_saint in sol.items():\n result[name] = 'saint' if is_saint else 'sinner'\n print(result)" ], "text": "{\"Mason\": \"saint\", \"Jack\": \"saint\", \"Harper\": \"saint\"}", "used_python_constraint": true, "duration_s": 3.023, "provider_receipts": [ { "turn": 1, "response_id": "0217853609899595e43bed6e99f957d955d5fe9d616876311d3f6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1102, "completion_tokens": 406, "total_tokens": 1508, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609923105e43bed6e99f957d955d5fe9d61687637b4515", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1601, "completion_tokens": 58, "total_tokens": 1659, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p4-r068", "num": 4, "pred": null, "gold": { "Aurora": "knight", "Elizabeth": "knave", "Grace": "knight", "Daniel": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people4_num100.jsonl", "file_sha256": "1cafedf8ea1c5bf393d2366a6d798e66730059fdd5290c8b2a8cca35de6c4589", "row": 68, "dataset_index": 68 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示天使，False表示魔鬼\np.addVariable('Aurora', [True, False])\np.addVariable('Elizabeth', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Daniel', [True, False])\n\n# 处理Aurora的陈述：Elizabeth是天使当且仅当Grace是魔鬼\np.addConstraint(lambda e, g, a: a == (e == not g), ['Elizabeth', 'Grace', 'Aurora'])\n\n# 处理Elizabeth的陈述：Grace是天使且Grace是魔鬼，该陈述为假，所以Elizabeth为魔鬼\np.addConstraint(lambda g, e: e == (g and not g), ['Grace', 'Elizabeth'])\n\n# 处理Grace的陈述：Daniel是魔鬼或Grace是天使\np.addConstraint(lambda d, g: g == (not d or g), ['Daniel', 'Grace'])\n\n# 处理Daniel的陈述：Aurora是天使\np.addConstraint(lambda a, d: d == a, ['Aurora', 'Daniel'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'angel' if v else 'devil' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示天使，False表示魔鬼\np.addVariable('Aurora', [True, False])\np.addVariable('Elizabeth', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Daniel', [True, False])\n\n# Aurora的陈述：Elizabeth是天使当且仅当Grace是魔鬼\np.addConstraint(lambda e, g, a: a == (e == not g), ['Elizabeth', 'Grace', 'Aurora'])\n\n# Elizabeth的陈述：Grace是天使且Grace是魔鬼，此陈述为假，所以Elizabeth是魔鬼\np.addConstraint(lambda g, e: e == (g and not g), ['Grace', 'Elizabeth'])\n\n# Grace的陈述：Daniel是魔鬼或Grace是天使\np.addConstraint(lambda d, g: g == (not d or g), ['Daniel', 'Grace'])\n\n# Daniel的陈述：Aurora是天使\np.addConstraint(lambda a, d: d == a, ['Aurora', 'Daniel'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'angel' if v else 'devil' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示天使，False表示魔鬼\np.addVariable('Aurora', [True, False])\np.addVariable('Elizabeth', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Daniel', [True, False])\n\n# Aurora的陈述：Elizabeth是天使当且仅当Grace是魔鬼\np.addConstraint(lambda e, g, a: a == (e == not g), ['Elizabeth', 'Grace', 'Aurora'])\n\n# Elizabeth的陈述：Grace是天使且Grace是魔鬼，此陈述为假，所以Elizabeth是魔鬼\np.addConstraint(lambda g, e: e == (g and not g), ['Grace', 'Elizabeth'])\n\n# Grace的陈述：Daniel是魔鬼或Grace是天使\np.addConstraint(lambda d, g: g == (not d or g), ['Daniel', 'Grace'])\n\n# Daniel的陈述：Aurora是天使\np.addConstraint(lambda a, d: d == a, ['Aurora', 'Daniel'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'angel' if v else 'devil' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示天使，False表示魔鬼\np.addVariable('Aurora', [True, False])\np.addVariable('Elizabeth', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Daniel', [True, False])\n\n# Aurora的陈述：Elizabeth是天使当且仅当Grace是魔鬼\np.addConstraint(lambda e, g, a: a == (e == not g), ['Elizabeth', 'Grace', 'Aurora'])\n\n# Elizabeth的陈述：Grace是天使且Grace是魔鬼，此陈述为假，所以Elizabeth是魔鬼\np.addConstraint(lambda g, e: e == (g and not g), ['Grace', 'Elizabeth'])\n\n# Grace的陈述：Daniel是魔鬼或Grace是天使\np.addConstraint(lambda d, g: g == (not d or g), ['Daniel', 'Grace'])\n\n# Daniel的陈述：Aurora是天使\np.addConstraint(lambda a, d: d == a, ['Aurora', 'Daniel'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'angel' if v else 'devil' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示天使，False表示魔鬼\np.addVariable('Aurora', [True, False])\np.addVariable('Elizabeth', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Daniel', [True, False])\n\n# Aurora的陈述：Elizabeth是天使当且仅当Grace是魔鬼\np.addConstraint(lambda e, g, a: a == (e == not g), ['Elizabeth', 'Grace', 'Aurora'])\n\n# Elizabeth的陈述：Grace是天使且Grace是魔鬼，此陈述为假，所以Elizabeth是魔鬼\np.addConstraint(lambda g, e: e == (g and not g), ['Grace', 'Elizabeth'])\n\n# Grace的陈述：Daniel是魔鬼或Grace是天使\np.addConstraint(lambda d, g: g == (not d or g), ['Daniel', 'Grace'])\n\n# Daniel的陈述：Aurora是天使\np.addConstraint(lambda a, d: d == a, ['Aurora', 'Daniel'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'angel' if v else 'devil' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示天使，False表示魔鬼\np.addVariable('Aurora', [True, False])\np.addVariable('Elizabeth', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Daniel', [True, False])\n\n# Aurora的陈述：Elizabeth是天使当且仅当Grace是魔鬼\np.addConstraint(lambda e, g, a: a == (e == not g), ['Elizabeth', 'Grace', 'Aurora'])\n\n# Elizabeth的陈述：Grace是天使且Grace是魔鬼，此陈述为假，所以Elizabeth是魔鬼\np.addConstraint(lambda g, e: e == (g and not g), ['Grace', 'Elizabeth'])\n\n# Grace的陈述：Daniel是魔鬼或Grace是天使\np.addConstraint(lambda d, g: g == (not d or g), ['Daniel', 'Grace'])\n\n# Daniel的陈述：Aurora是天使\np.addConstraint(lambda a, d: d == a, ['Aurora', 'Daniel'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'angel' if v else 'devil' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示天使，False表示魔鬼\np.addVariable('Aurora', [True, False])\np.addVariable('Elizabeth', [True, False])\np.addVariable('Grace', [True, False])\np.addVariable('Daniel', [True, False])\n\n# Aurora的陈述：Elizabeth是天使当且仅当Grace是魔鬼\np.addConstraint(lambda a, e, g: a == (e == not g), ['Aurora', 'Elizabeth', 'Grace'])\n\n# Elizabeth的陈述：Grace是天使且Grace是魔鬼，此陈述为假，所以Elizabeth是魔鬼\np.addConstraint(lambda e, g: e == (g and not g), ['Elizabeth', 'Grace'])\n\n# Grace的陈述：Daniel是魔鬼或Grace是天使\np.addConstraint(lambda g, d: g == (not d or g), ['Grace', 'Daniel'])\n\n# Daniel的陈述：Aurora是天使\np.addConstraint(lambda d, a: d == a, ['Daniel', 'Aurora'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'angel' if v else 'devil' for k, v in sol.items()}\n print(result)" ], "text": "", "used_python_constraint": true, "duration_s": 39.545, "provider_receipts": [ { "turn": 1, "response_id": "0217853609929975e43bed6e99f957d955d5fe9d61687635ac1e9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1116, "completion_tokens": 370, "total_tokens": 1486, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853609954605e43bed6e99f957d955d5fe9d61687633af58b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1585, "completion_tokens": 2768, "total_tokens": 4353, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853610084695e43bed6e99f957d955d5fe9d6168763a4713b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2032, "completion_tokens": 830, "total_tokens": 2862, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853610125745e43bed6e99f957d955d5fe9d6168763518e73", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2469, "completion_tokens": 1062, "total_tokens": 3531, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853610178685e43bed6e99f957d955d5fe9d616876333e571", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2908, "completion_tokens": 787, "total_tokens": 3695, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853610215555e43bed6e99f957d955d5fe9d6168763ea319e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3345, "completion_tokens": 884, "total_tokens": 4229, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853610257795e43bed6e99f957d955d5fe9d6168763556982", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3784, "completion_tokens": 740, "total_tokens": 4524, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853610293455e43bed6e99f957d955d5fe9d616876398b42d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4220, "completion_tokens": 596, "total_tokens": 4816, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "random_pair-p4-r090", "num": 4, "pred": null, "gold": { "Jackson": "knight", "Isabella": "knight", "Olivia": "knight", "Mia": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people4_num100.jsonl", "file_sha256": "1cafedf8ea1c5bf393d2366a6d798e66730059fdd5290c8b2a8cca35de6c4589", "row": 90, "dataset_index": 90 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示altruist，False表示egoist\np.addVariables(['Jackson', 'Isabella', 'Olivia', 'Mia'], [True, False])\n\n# Jackson说：Isabella是egoist或者Olivia是altruist\n# 转换为Jackson的布尔值 == (Isabella是egoist or Olivia是altruist)\n# Isabella是egoist即not Isabella，Olivia是altruist即Olivia\np.addConstraint(lambda jackson, isabella, olivia: jackson == (not isabella or olivia), ['Jackson', 'Isabella', 'Olivia'])\n\n# Isabella说：Jackson是egoist或者Mia是altruist\n# 转换为Isabella的布尔值 == (Jackson是egoist or Mia是altruist)\n# Jackson是egoist即not Jackson，Mia是altruist即Mia\np.addConstraint(lambda isabella, jackson, mia: isabella == (not jackson or mia), ['Isabella', 'Jackson', 'Mia'])\n\n# Olivia说：如果Olivia是altruist那么Mia是altruist\n# 转换为Olivia的布尔值 == (Olivia是altruist -> Mia是altruist)\n# 逻辑上a->b等价于not a or b，这里a是Olivia，b是Mia\np.addConstraint(lambda olivia, mia: olivia == (not olivia or mia), ['Olivia', 'Mia'])\n\n# Mia说：Mia是altruist且Jackson是altruist\n# 转换为Mia的布尔值 == (Mia是altruist and Jackson是altruist)\np.addConstraint(lambda mia, jackson: mia == (mia and jackson), ['Mia', 'Jackson'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k: 'altruist' if v else 'egoist' for k, v in sol.items()})" ], "text": "{\"Jackson\": \"altruist\", \"Isabella\": \"altruist\", \"Olivia\": \"altruist\", \"Mia\": \"altruist\"}", "used_python_constraint": true, "duration_s": 3.388, "provider_receipts": [ { "turn": 1, "response_id": "0217853610325515e43bed6e99f957d955d5fe9d61687637f7c46", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1138, "completion_tokens": 478, "total_tokens": 1616, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853610353705e43bed6e99f957d955d5fe9d6168763474558", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1722, "completion_tokens": 71, "total_tokens": 1793, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p5-r062", "num": 5, "pred": null, "gold": { "Ella": "knave", "Jacob": "knave", "Sebastian": "knight", "Logan": "knight", "James": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people5_num100.jsonl", "file_sha256": "9036535b0ace7b3cfe1b8cf94fbb898b0c07e8d88d23cbc914707ed6d0221ebc", "row": 62, "dataset_index": 62 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示英雄，False表示反派\np.addVariables(['Ella', 'Jacob', 'Sebastian', 'Logan', 'James'], [True, False])\n\n# Ella说：Sebastian是反派且Logan是反派\np.addConstraint(lambda ella, sebastian, logan: ella == (not sebastian and not logan), ['Ella', 'Sebastian', 'Logan'])\n\n# Jacob说：James是英雄\np.addConstraint(lambda jacob, james: jacob == james, ['Jacob', 'James'])\n\n# Sebastian说：如果Jacob是英雄，那么Ella是英雄\np.addConstraint(lambda sebastian, jacob, ella: sebastian == (jacob == ella), ['Sebastian', 'Jacob', 'Ella'])\n\n# Logan说：Ella是反派\np.addConstraint(lambda logan, ella: logan == (not ella), ['Logan', 'Ella'])\n\n# James说：Ella不是反派\np.addConstraint(lambda james, ella: james == ella, ['James', 'Ella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'hero' if v else 'villain' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示英雄，False表示反派\np.addVariables(['Ella', 'Jacob', 'Sebastian', 'Logan', 'James'], [True, False])\n\n# Ella说：Sebastian是反派且Logan是反派\np.addConstraint(lambda ella, sebastian, logan: ella == (not sebastian and not logan), ['Ella', 'Sebastian', 'Logan'])\n\n# Jacob说：James是英雄\np.addConstraint(lambda jacob, james: jacob == james, ['Jacob', 'James'])\n\n# Sebastian说：如果Jacob是英雄，那么Ella是英雄\np.addConstraint(lambda sebastian, jacob, ella: sebastian == (jacob == ella), ['Sebastian', 'Jacob', 'Ella'])\n\n# Logan说：Ella是反派\np.addConstraint(lambda logan, ella: logan == (not ella), ['Logan', 'Ella'])\n\n# James说：Ella不是反派\np.addConstraint(lambda james, ella: james == ella, ['James', 'Ella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n final_result['Ella'] = 'hero' if sol['Ella'] else 'villain'\n final_result['Jacob'] = 'hero' if sol['Jacob'] else 'villain'\n final_result['Sebastian'] = 'hero' if sol['Sebastian'] else 'villain'\n final_result['Logan'] = 'hero' if sol['Logan'] else 'villain'\n final_result['James'] = 'hero' if sol['James'] else 'villain'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示英雄，False表示反派\np.addVariables(['Ella', 'Jacob', 'Sebastian', 'Logan', 'James'], [True, False])\n\n# Ella说：Sebastian是反派且Logan是反派\np.addConstraint(lambda ella, sebastian, logan: ella == (not sebastian and not logan), ['Ella', 'Sebastian', 'Logan'])\n\n# Jacob说：James是英雄\np.addConstraint(lambda jacob, james: jacob == james, ['Jacob', 'James'])\n\n# Sebastian说：如果Jacob是英雄，那么Ella是英雄\np.addConstraint(lambda sebastian, jacob, ella: sebastian == (jacob == ella), ['Sebastian', 'Jacob', 'Ella'])\n\n# Logan说：Ella是反派\np.addConstraint(lambda logan, ella: logan == (not ella), ['Logan', 'Ella'])\n\n# James说：Ella不是反派\np.addConstraint(lambda james, ella: james == ella, ['James', 'Ella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n final_result['Ella'] = 'hero' if sol['Ella'] else 'villain'\n final_result['Jacob'] = 'hero' if sol['Jacob'] else 'villain'\n final_result['Sebastian'] = 'hero' if sol['Sebastian'] else 'villain'\n final_result['Logan'] = 'hero' if sol['Logan'] else 'villain'\n final_result['James'] = 'hero' if sol['James'] else 'villain'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示英雄，False表示反派\np.addVariables(['Ella', 'Jacob', 'Sebastian', 'Logan', 'James'], [True, False])\n\n# Ella说：Sebastian是反派且Logan是反派\np.addConstraint(lambda ella, sebastian, logan: ella == (not sebastian and not logan), ['Ella', 'Sebastian', 'Logan'])\n\n# Jacob说：James是英雄\np.addConstraint(lambda jacob, james: jacob == james, ['Jacob', 'James'])\n\n# Sebastian说：如果Jacob是英雄，那么Ella是英雄\np.addConstraint(lambda sebastian, jacob, ella: sebastian == (jacob == ella), ['Sebastian', 'Jacob', 'Ella'])\n\n# Logan说：Ella是反派\np.addConstraint(lambda logan, ella: logan == (not ella), ['Logan', 'Ella'])\n\n# James说：Ella不是反派\np.addConstraint(lambda james, ella: james == ella, ['James', 'Ella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n final_result['Ella'] = 'hero' if sol['Ella'] else 'villain'\n final_result['Jacob'] = 'hero' if sol['Jacob'] else 'villain'\n final_result['Sebastian'] = 'hero' if sol['Sebastian'] else 'villain'\n final_result['Logan'] = 'hero' if sol['Logan'] else 'villain'\n final_result['James'] = 'hero' if sol['James'] else 'villain'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示英雄，False表示反派\np.addVariables(['Ella', 'Jacob', 'Sebastian', 'Logan', 'James'], [True, False])\n\n# Ella说：Sebastian是反派且Logan是反派\np.addConstraint(lambda ella, sebastian, logan: ella == (not sebastian and not logan), ['Ella', 'Sebastian', 'Logan'])\n\n# Jacob说：James是英雄\np.addConstraint(lambda jacob, james: jacob == james, ['Jacob', 'James'])\n\n# Sebastian说：如果Jacob是英雄，那么Ella是英雄\np.addConstraint(lambda sebastian, jacob, ella: sebastian == (jacob == ella), ['Sebastian', 'Jacob', 'Ella'])\n\n# Logan说：Ella是反派\np.addConstraint(lambda logan, ella: logan == (not ella), ['Logan', 'Ella'])\n\n# James说：Ella不是反派\np.addConstraint(lambda james, ella: james == ella, ['James', 'Ella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n final_result['Ella'] = 'hero' if sol['Ella'] else 'villain'\n final_result['Jacob'] = 'hero' if sol['Jacob'] else 'villain'\n final_result['Sebastian'] = 'hero' if sol['Sebastian'] else 'villain'\n final_result['Logan'] = 'hero' if sol['Logan'] else 'villain'\n final_result['James'] = 'hero' if sol['James'] else 'villain'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示英雄，False表示反派\np.addVariables(['Ella', 'Jacob', 'Sebastian', 'Logan', 'James'], [True, False])\n\n# Ella说：Sebastian是反派且Logan是反派\np.addConstraint(lambda ella, sebastian, logan: ella == (not sebastian and not logan), ['Ella', 'Sebastian', 'Logan'])\n\n# Jacob说：James是英雄\np.addConstraint(lambda jacob, james: jacob == james, ['Jacob', 'James'])\n\n# Sebastian说：如果Jacob是英雄，那么Ella是英雄\np.addConstraint(lambda sebastian, jacob, ella: sebastian == (jacob == ella), ['Sebastian', 'Jacob', 'Ella'])\n\n# Logan说：Ella是反派\np.addConstraint(lambda logan, ella: logan == (not ella), ['Logan', 'Ella'])\n\n# James说：Ella不是反派\np.addConstraint(lambda james, ella: james == ella, ['James', 'Ella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n final_result['Ella'] = 'hero' if sol['Ella'] else 'villain'\n final_result['Jacob'] = 'hero' if sol['Jacob'] else 'villain'\n final_result['Sebastian'] = 'hero' if sol['Sebastian'] else 'villain'\n final_result['Logan'] = 'hero' if sol['Logan'] else 'villain'\n final_result['James'] = 'hero' if sol['James'] else 'villain'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示英雄，False表示反派\np.addVariables(['Ella', 'Jacob', 'Sebastian', 'Logan', 'James'], [True, False])\n\n# Ella说：Sebastian是反派且Logan是反派\np.addConstraint(lambda ella, sebastian, logan: ella == (not sebastian and not logan), ['Ella', 'Sebastian', 'Logan'])\n\n# Jacob说：James是英雄\np.addConstraint(lambda jacob, james: jacob == james, ['Jacob', 'James'])\n\n# Sebastian说：如果Jacob是英雄，那么Ella是英雄\np.addConstraint(lambda sebastian, jacob, ella: sebastian == (jacob == ella), ['Sebastian', 'Jacob', 'Ella'])\n\n# Logan说：Ella是反派\np.addConstraint(lambda logan, ella: logan == (not ella), ['Logan', 'Ella'])\n\n# James说：Ella不是反派\np.addConstraint(lambda james, ella: james == ella, ['James', 'Ella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 处理结果并输出最终JSON\nfinal_result = {} \nfor sol in solutions:\n final_result['Ella'] = 'hero' if sol['Ella'] else 'villain'\n final_result['Jacob'] = 'hero' if sol['Jacob'] else 'villain'\n final_result['Sebastian'] = 'hero' if sol['Sebastian'] else 'villain'\n final_result['Logan'] = 'hero' if sol['Logan'] else 'villain'\n final_result['James'] = 'hero' if sol['James'] else 'villain'\n\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 20.551, "provider_receipts": [ { "turn": 1, "response_id": "0217853610359545e43bed6e99f957d955d5fe9d61687638b579a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1119, "completion_tokens": 321, "total_tokens": 1440, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853610377205e43bed6e99f957d955d5fe9d61687635cb425", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1542, "completion_tokens": 423, "total_tokens": 1965, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853610397685e43bed6e99f957d955d5fe9d6168763b772c5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1933, "completion_tokens": 516, "total_tokens": 2449, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853610424515e43bed6e99f957d955d5fe9d61687633bf6df", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2425, "completion_tokens": 536, "total_tokens": 2961, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853610454935e43bed6e99f957d955d5fe9d6168763520b90", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2917, "completion_tokens": 521, "total_tokens": 3438, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853610481905e43bed6e99f957d955d5fe9d6168763258b7d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3409, "completion_tokens": 539, "total_tokens": 3948, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853610512305e43bed6e99f957d955d5fe9d6168763580a3c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3901, "completion_tokens": 520, "total_tokens": 4421, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853610539735e43bed6e99f957d955d5fe9d6168763c61831", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4393, "completion_tokens": 518, "total_tokens": 4911, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "random_pair-p5-r079", "num": 5, "pred": null, "gold": { "Emma": "knight", "Harper": "knave", "Aurora": "knave", "Sebastian": "knave", "James": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people5_num100.jsonl", "file_sha256": "9036535b0ace7b3cfe1b8cf94fbb898b0c07e8d88d23cbc914707ed6d0221ebc", "row": 79, "dataset_index": 79 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Emma', 'Harper', 'Aurora', 'Sebastian', 'James']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Emma说Sebastian是egoist，即Emma的话为真当且仅当Sebastian是egoist（False）\nproblem.addConstraint(lambda emma, sebastian: emma == (not sebastian), ['Emma', 'Sebastian'])\n\n# Harper说：\"Aurora是altruist或Harper是altruist\"，即Harper的话为真当且仅当Aurora是True或者Harper是True\nproblem.addConstraint(lambda harper, aurora: harper == (aurora or harper), ['Harper', 'Aurora'])\n\n# Aurora说：\"如果Sebastian是egoist，那么Harper是altruist\"，逻辑表达式为 (not sebastian) -> harper，等价于 sebastian or harper。所以Aurora的话为真当且仅当sebastian or harper为True\nproblem.addConstraint(lambda aurora, sebastian, harper: aurora == (sebastian or harper), ['Aurora', 'Sebastian', 'Harper'])\n\n# Sebastian说：\"Aurora是egoist当且仅当Emma是egoist\"，即 (not aurora) == (not emma)，等价于 aurora == emma。所以Sebastian的话为真当且仅当aurora == emma\nproblem.addConstraint(lambda sebastian, aurora, emma: sebastian == (aurora == emma), ['Sebastian', 'Aurora', 'Emma'])\n\n# James说：\"Harper是altruist且Aurora是altruist\"，即Harper是True且Aurora是True。James的话为真当且仅当harper and aurora为True\nproblem.addConstraint(lambda james, harper, aurora: james == (harper and aurora), ['James', 'Harper', 'Aurora'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'altruist' if val else 'egoist' for name, val in sol.items()}\n print(result)", "# 之前的代码已经执行，这里直接根据结果构造最终答案\nresult = {'Emma': 'altruist', 'Harper': 'egoist', 'Aurora': 'egoist', 'Sebastian': 'egoist', 'James': 'egoist'}\nprint(result)", "result = {'Emma': 'altruist', 'Harper': 'egoist', 'Aurora': 'egoist', 'Sebastian': 'egoist', 'James': 'egoist'}\nprint(result)", "result = {'Emma': 'altruist', 'Harper': 'egoist', 'Aurora': 'egoist', 'Sebastian': 'egoist', 'James': 'egoist'}\nimport json\nprint(json.dumps(result))" ], "text": "{\"Emma\": \"altruist\", \"Harper\": \"egoist\", \"Aurora\": \"egoist\", \"Sebastian\": \"egoist\", \"James\": \"egoist\"}", "used_python_constraint": true, "duration_s": 25.423, "provider_receipts": [ { "turn": 1, "response_id": "0217853610565155e43bed6e99f957d955d5fe9d6168763adaac9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1158, "completion_tokens": 607, "total_tokens": 1765, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853610597365e43bed6e99f957d955d5fe9d6168763842586", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 1872, "completion_tokens": 4370, "total_tokens": 6242, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853610780325e43bed6e99f957d955d5fe9d616876317d433", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2477, "completion_tokens": 167, "total_tokens": 2644, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853610791705e43bed6e99f957d955d5fe9d61687632b5e22", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2624, "completion_tokens": 173, "total_tokens": 2797, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853610802955e43bed6e99f957d955d5fe9d6168763bd5091", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2756, "completion_tokens": 163, "total_tokens": 2919, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853610813895e43bed6e99f957d955d5fe9d6168763519888", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2894, "completion_tokens": 78, "total_tokens": 2972, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p6-r022", "num": 6, "pred": null, "gold": { "Ethan": "knave", "Oliver": "knight", "Amelia": "knight", "Charlotte": "knight", "Michael": "knight", "David": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people6_num100.jsonl", "file_sha256": "9d3a4bcd28f465b311bd5cdc96958b69529240f05e00a79d80ea7a54b8d53002", "row": 22, "dataset_index": 22 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n\nvariables = ['Ethan', 'Oliver', 'Amelia', 'Charlotte', 'Michael', 'David']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Ethan说: Oliver是laggard且David是pioneer\np.addConstraint(lambda e, o, d: e == (not o and d), ['Ethan', 'Oliver', 'David'])\n\n# Oliver说: David是laggard或Amelia是pioneer\np.addConstraint(lambda o, d, a: o == ((not d) or a), ['Oliver', 'David', 'Amelia'])\n\n# Amelia说: David是pioneer\np.addConstraint(lambda a, d: a == d, ['Amelia', 'David'])\n\n# Charlotte说: Amelia是pioneer或Oliver是laggard\np.addConstraint(lambda c, a, o: c == (a or (not o)), ['Charlotte', 'Amelia', 'Oliver'])\n\n# Michael说: David不是laggard\np.addConstraint(lambda m, d: m == (not d), ['Michael', 'David'])\n\n# David说: Amelia是pioneer当且仅当Charlotte是pioneer\np.addConstraint(lambda d, a, c: d == (a == c), ['David', 'Amelia', 'Charlotte'])\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'pioneer' if v else 'laggard' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\nvariables = ['Ethan', 'Oliver', 'Amelia', 'Charlotte', 'Michael', 'David']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Ethan说: Oliver是laggard且David是pioneer\np.addConstraint(lambda e, o, d: e == (not o and d), ['Ethan', 'Oliver', 'David'])\n\n# Oliver说: David是laggard或Amelia是pioneer\np.addConstraint(lambda o, d, a: o == ((not d) or a), ['Oliver', 'David', 'Amelia'])\n\n# Amelia说: David是pioneer\np.addConstraint(lambda a, d: a == d, ['Amelia', 'David'])\n\n# Charlotte说: Amelia是pioneer或Oliver是laggard\np.addConstraint(lambda c, a, o: c == (a or (not o)), ['Charlotte', 'Amelia', 'Oliver'])\n\n# Michael说: David不是laggard\np.addConstraint(lambda m, d: m == (not d), ['Michael', 'David'])\n\n# David说: Amelia是pioneer当且仅当Charlotte是pioneer\np.addConstraint(lambda d, a, c: d == (a == c), ['David', 'Amelia', 'Charlotte'])\n\nsolutions = p.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result = {k: 'pioneer' if v else 'laggard' for k, v in sol.items()}\n\nimport json\nprint(json.dumps(final_result))" ], "text": "{\"Ethan\": \"laggard\", \"Oliver\": \"pioneer\", \"Amelia\": \"pioneer\", \"Charlotte\": \"pioneer\", \"Michael\": \"laggard\", \"David\": \"pioneer\"}", "used_python_constraint": true, "duration_s": 9.041, "provider_receipts": [ { "turn": 1, "response_id": "0217853610819495e43bed6e99f957d955d5fe9d616876345e4b9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1148, "completion_tokens": 508, "total_tokens": 1656, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853610849405e43bed6e99f957d955d5fe9d6168763f80cee", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1767, "completion_tokens": 483, "total_tokens": 2250, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853610874695e43bed6e99f957d955d5fe9d6168763789a69", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2220, "completion_tokens": 488, "total_tokens": 2708, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853610903065e43bed6e99f957d955d5fe9d6168763ff159c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2687, "completion_tokens": 88, "total_tokens": 2775, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p6-r045", "num": 6, "pred": null, "gold": { "Aria": "knight", "Penelope": "knight", "Ella": "knight", "Lily": "knight", "Ethan": "knave", "Grace": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people6_num100.jsonl", "file_sha256": "9d3a4bcd28f465b311bd5cdc96958b69529240f05e00a79d80ea7a54b8d53002", "row": 45, "dataset_index": 45 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示altruist，False表示egoist\nvariables = ['Aria', 'Penelope', 'Ella', 'Lily', 'Ethan', 'Grace']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Aria的陈述：If Grace is an altruist then Lily is an altruist\n# 逻辑表达式为 Grace -> Lily，即 not Grace or Lily，等价于 Aria == (not Grace or Lily)\np.addConstraint(lambda Aria, Grace, Lily: Aria == (not Grace or Lily), ['Aria', 'Grace', 'Lily'])\n\n# Penelope的陈述：If Aria is an egoist then Ella is an altruist\n# 逻辑表达式为 not Aria -> Ella，即 Aria or Ella，等价于 Penelope == (Aria or Ella)\np.addConstraint(lambda Penelope, Aria, Ella: Penelope == (Aria or Ella), ['Penelope', 'Aria', 'Ella'])\n\n# Ella的陈述：Grace is an altruist if and only if Ethan is an egoist\n# 逻辑表达式为 Grace <-> not Ethan，等价于 Ella == (Grace == (not Ethan))\np.addConstraint(lambda Ella, Grace, Ethan: Ella == (Grace == (not Ethan)), ['Ella', 'Grace', 'Ethan'])\n\n# Lily的陈述：If Ella is an egoist then Aria is an altruist\n# 逻辑表达式为 not Ella -> Aria，即 Ella or Aria，等价于 Lily == (Ella or Aria)\np.addConstraint(lambda Lily, Ella, Aria: Lily == (Ella or Aria), ['Lily', 'Ella', 'Aria'])\n\n# Ethan的陈述：Lily is not an altruist\n# 逻辑表达式为 not Lily，等价于 Ethan == (not Lily)\np.addConstraint(lambda Ethan, Lily: Ethan == (not Lily), ['Ethan', 'Lily'])\n\n# Grace的陈述：If Aria is an egoist then Ella is an altruist\n# 逻辑表达式为 not Aria -> Ella，即 Aria or Ella，等价于 Grace == (Aria or Ella)\np.addConstraint(lambda Grace, Aria, Ella: Grace == (Aria or Ella), ['Grace', 'Aria', 'Ella'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'altruist' if v else 'egoist' for k, v in sol.items()}\n print(result)" ], "text": "{\"Aria\": \"altruist\", \"Penelope\": \"altruist\", \"Ella\": \"altruist\", \"Lily\": \"altruist\", \"Ethan\": \"egoist\", \"Grace\": \"altruist\"}", "used_python_constraint": true, "duration_s": 3.819, "provider_receipts": [ { "turn": 1, "response_id": "0217853610910065e43bed6e99f957d955d5fe9d616876345b93d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1185, "completion_tokens": 612, "total_tokens": 1797, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853610941325e43bed6e99f957d955d5fe9d61687637fd535", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1921, "completion_tokens": 90, "total_tokens": 2011, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p7-r064", "num": 7, "pred": null, "gold": { "Penelope": "knave", "Elizabeth": "knight", "Amelia": "knave", "Sofia": "knight", "James": "knave", "Sebastian": "knave", "Harper": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people7_num100.jsonl", "file_sha256": "389713889ec22d14bf64d1bb9b846d1fb7a4adba44004b6ce9db1e0ac3d54190", "row": 64, "dataset_index": 64 }, "codes": [ "", "from constraint import Problem\n\nvariables = ['Penelope', 'Elizabeth', 'Amelia', 'Sofia', 'James', 'Sebastian', 'Harper']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Penelope说Elizabeth是fool: Penelope == (not Elizabeth)\nproblem.addConstraint(lambda p, e: p == (not e), ['Penelope', 'Elizabeth'])\n\n# Elizabeth说'Sebastian是fool且Sofia是sage': Elizabeth == ((not Sebastian) and Sofia)\nproblem.addConstraint(lambda e, s, seb: e == ((not seb) and s), ['Elizabeth', 'Sofia', 'Sebastian'])\n\n# Amelia说'Sofia是sage当且仅当Sebastian是sage': Amelia == (Sofia == Sebastian)\nproblem.addConstraint(lambda a, s, seb: a == (s == seb), ['Amelia', 'Sofia', 'Sebastian'])\n\n# Sofia说'Penelope是sage或Sofia是sage': Sofia == (Penelope or Sofia)\nproblem.addConstraint(lambda s, p: s == (p or s), ['Sofia', 'Penelope'])\n\n# James说'Sebastian不是fool': James == Sebastian\nproblem.addConstraint(lambda j, seb: j == seb, ['James', 'Sebastian'])\n\n# Sebastian说'Sebastian是sage且Sofia是fool': Sebastian == (Sebastian and (not Sofia))\nproblem.addConstraint(lambda seb, s: seb == (seb and (not s)), ['Sebastian', 'Sofia'])\n\n# Harper说'如果Elizabeth是fool则Sebastian是fool': Harper == ((not Elizabeth) or (not Sebastian))\nproblem.addConstraint(lambda h, e, seb: h == ((not e) or (not seb)), ['Harper', 'Elizabeth', 'Sebastian'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {}\n for name, is_sage in sol.items():\n result[name] = 'sage' if is_sage else 'fool'\n print(result)", "from constraint import Problem\n\nvariables = ['Penelope', 'Elizabeth', 'Amelia', 'Sofia', 'James', 'Sebastian', 'Harper']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Penelope说Elizabeth是fool: Penelope == (not Elizabeth)\nproblem.addConstraint(lambda p, e: p == (not e), ['Penelope', 'Elizabeth'])\n\n# Elizabeth说'Sebastian是fool且Sofia是sage': Elizabeth == ((not Sebastian) and Sofia)\nproblem.addConstraint(lambda e, s, seb: e == ((not seb) and s), ['Elizabeth', 'Sofia', 'Sebastian'])\n\n# Amelia说'Sofia是sage当且仅当Sebastian是sage': Amelia == (Sofia == Sebastian)\nproblem.addConstraint(lambda a, s, seb: a == (s == seb), ['Amelia', 'Sofia', 'Sebastian'])\n\n# Sofia说'Penelope是sage或Sofia是sage': Sofia == (Penelope or Sofia)\nproblem.addConstraint(lambda s, p: s == (p or s), ['Sofia', 'Penelope'])\n\n# James说'Sebastian不是fool': James == Sebastian\nproblem.addConstraint(lambda j, seb: j == seb, ['James', 'Sebastian'])\n\n# Sebastian说'Sebastian是sage且Sofia是fool': Sebastian == (Sebastian and (not Sofia))\nproblem.addConstraint(lambda seb, s: seb == (seb and (not s)), ['Sebastian', 'Sofia'])\n\n# Harper说'如果Elizabeth是fool则Sebastian是fool': Harper == ((not Elizabeth) or (not Sebastian))\nproblem.addConstraint(lambda h, e, seb: h == ((not e) or (not seb)), ['Harper', 'Elizabeth', 'Sebastian'])\n\nsolutions = problem.getSolutions()\n\nresult_dict = {} \nfor sol in solutions:\n for name, is_sage in sol.items():\n result_dict[name] = 'sage' if is_sage else 'fool'\n\nprint(result_dict)", "from constraint import Problem\n\nvariables = ['Penelope', 'Elizabeth', 'Amelia', 'Sofia', 'James', 'Sebastian', 'Harper']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Penelope说Elizabeth是fool: Penelope == (not Elizabeth)\nproblem.addConstraint(lambda p, e: p == (not e), ['Penelope', 'Elizabeth'])\n\n# Elizabeth说'Sebastian是fool且Sofia是sage': Elizabeth == ((not Sebastian) and Sofia)\nproblem.addConstraint(lambda e, s, seb: e == ((not seb) and s), ['Elizabeth', 'Sofia', 'Sebastian'])\n\n# Amelia说'Sofia是sage当且仅当Sebastian是sage': Amelia == (Sofia == Sebastian)\nproblem.addConstraint(lambda a, s, seb: a == (s == seb), ['Amelia', 'Sofia', 'Sebastian'])\n\n# Sofia说'Penelope是sage或Sofia是sage': Sofia == (Penelope or Sofia)\nproblem.addConstraint(lambda s, p: s == (p or s), ['Sofia', 'Penelope'])\n\n# James说'Sebastian不是fool': James == Sebastian\nproblem.addConstraint(lambda j, seb: j == seb, ['James', 'Sebastian'])\n\n# Sebastian说'Sebastian是sage且Sofia是fool': Sebastian == (Sebastian and (not Sofia))\nproblem.addConstraint(lambda seb, s: seb == (seb and (not s)), ['Sebastian', 'Sofia'])\n\n# Harper说'如果Elizabeth是fool则Sebastian是fool': Harper == ((not Elizabeth) or (not Sebastian))\nproblem.addConstraint(lambda h, e, seb: h == ((not e) or (not seb)), ['Harper', 'Elizabeth', 'Sebastian'])\n\nsolutions = problem.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, is_sage in sol.items():\n result[name] = 'sage' if is_sage else 'fool'\n\nprint(result)", "from constraint import Problem\n\nvariables = ['Penelope', 'Elizabeth', 'Amelia', 'Sofia', 'James', 'Sebastian', 'Harper']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Penelope说Elizabeth是fool: Penelope == (not Elizabeth)\nproblem.addConstraint(lambda p, e: p == (not e), ['Penelope', 'Elizabeth'])\n\n# Elizabeth说'Sebastian是fool且Sofia是sage': Elizabeth == ((not Sebastian) and Sofia)\nproblem.addConstraint(lambda e, s, seb: e == ((not seb) and s), ['Elizabeth', 'Sofia', 'Sebastian'])\n\n# Amelia说'Sofia是sage当且仅当Sebastian是sage': Amelia == (Sofia == Sebastian)\nproblem.addConstraint(lambda a, s, seb: a == (s == seb), ['Amelia', 'Sofia', 'Sebastian'])\n\n# Sofia说'Penelope是sage或Sofia是sage': Sofia == (Penelope or Sofia)\nproblem.addConstraint(lambda s, p: s == (p or s), ['Sofia', 'Penelope'])\n\n# James说'Sebastian不是fool': James == Sebastian\nproblem.addConstraint(lambda j, seb: j == seb, ['James', 'Sebastian'])\n\n# Sebastian说'Sebastian是sage且Sofia是fool': Sebastian == (Sebastian and (not Sofia))\nproblem.addConstraint(lambda seb, s: seb == (seb and (not s)), ['Sebastian', 'Sofia'])\n\n# Harper说'如果Elizabeth是fool则Sebastian是fool': Harper == ((not Elizabeth) or (not Sebastian))\nproblem.addConstraint(lambda h, e, seb: h == ((not e) or (not seb)), ['Harper', 'Elizabeth', 'Sebastian'])\n\nsolutions = problem.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, is_sage in sol.items():\n result[name] = 'sage' if is_sage else 'fool'\n\nprint(result)", "from constraint import Problem\n\nvariables = ['Penelope', 'Elizabeth', 'Amelia', 'Sofia', 'James', 'Sebastian', 'Harper']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Penelope说Elizabeth是fool: Penelope == (not Elizabeth)\nproblem.addConstraint(lambda p, e: p == (not e), ['Penelope', 'Elizabeth'])\n\n# Elizabeth说'Sebastian是fool且Sofia是sage': Elizabeth == ((not Sebastian) and Sofia)\nproblem.addConstraint(lambda e, s, seb: e == ((not seb) and s), ['Elizabeth', 'Sofia', 'Sebastian'])\n\n# Amelia说'Sofia是sage当且仅当Sebastian是sage': Amelia == (Sofia == Sebastian)\nproblem.addConstraint(lambda a, s, seb: a == (s == seb), ['Amelia', 'Sofia', 'Sebastian'])\n\n# Sofia说'Penelope是sage或Sofia是sage': Sofia == (Penelope or Sofia)\nproblem.addConstraint(lambda s, p: s == (p or s), ['Sofia', 'Penelope'])\n\n# James说'Sebastian不是fool': James == Sebastian\nproblem.addConstraint(lambda j, seb: j == seb, ['James', 'Sebastian'])\n\n# Sebastian说'Sebastian是sage且Sofia是fool': Sebastian == (Sebastian and (not Sofia))\nproblem.addConstraint(lambda seb, s: seb == (seb and (not s)), ['Sebastian', 'Sofia'])\n\n# Harper说'如果Elizabeth是fool则Sebastian是fool': Harper == ((not Elizabeth) or (not Sebastian))\nproblem.addConstraint(lambda h, e, seb: h == ((not e) or (not seb)), ['Harper', 'Elizabeth', 'Sebastian'])\n\nsolutions = problem.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, is_sage in sol.items():\n result[name] = 'sage' if is_sage else 'fool'\n\nprint(result)", "from constraint import Problem\n\nvariables = ['Penelope', 'Elizabeth', 'Amelia', 'Sofia', 'James', 'Sebastian', 'Harper']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Penelope说Elizabeth是fool: Penelope == (not Elizabeth)\nproblem.addConstraint(lambda p, e: p == (not e), ['Penelope', 'Elizabeth'])\n\n# Elizabeth说'Sebastian是fool且Sofia是sage': Elizabeth == ((not Sebastian) and Sofia)\nproblem.addConstraint(lambda e, s, seb: e == ((not seb) and s), ['Elizabeth', 'Sofia', 'Sebastian'])\n\n# Amelia说'Sofia是sage当且仅当Sebastian是sage': Amelia == (Sofia == Sebastian)\nproblem.addConstraint(lambda a, s, seb: a == (s == seb), ['Amelia', 'Sofia', 'Sebastian'])\n\n# Sofia说'Penelope是sage或Sofia是sage': Sofia == (Penelope or Sofia)\nproblem.addConstraint(lambda s, p: s == (p or s), ['Sofia', 'Penelope'])\n\n# James说'Sebastian不是fool': James == Sebastian\nproblem.addConstraint(lambda j, seb: j == seb, ['James', 'Sebastian'])\n\n# Sebastian说'Sebastian是sage且Sofia是fool': Sebastian == (Sebastian and (not Sofia))\nproblem.addConstraint(lambda seb, s: seb == (seb and (not s)), ['Sebastian', 'Sofia'])\n\n# Harper说'如果Elizabeth是fool则Sebastian是fool': Harper == ((not Elizabeth) or (not Sebastian))\nproblem.addConstraint(lambda h, e, seb: h == ((not e) or (not seb)), ['Harper', 'Elizabeth', 'Sebastian'])\n\nsolutions = problem.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, is_sage in sol.items():\n result[name] = 'sage' if is_sage else 'fool'\n\nprint(result)", "from constraint import Problem\n\nvariables = ['Penelope', 'Elizabeth', 'Amelia', 'Sofia', 'James', 'Sebastian', 'Harper']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Penelope说Elizabeth是fool: Penelope == (not Elizabeth)\nproblem.addConstraint(lambda p, e: p == (not e), ['Penelope', 'Elizabeth'])\n\n# Elizabeth说'Sebastian是fool且Sofia是sage': Elizabeth == ((not Sebastian) and Sofia)\nproblem.addConstraint(lambda e, s, seb: e == ((not seb) and s), ['Elizabeth', 'Sofia', 'Sebastian'])\n\n# Amelia说'Sofia是sage当且仅当Sebastian是sage': Amelia == (Sofia == Sebastian)\nproblem.addConstraint(lambda a, s, seb: a == (s == seb), ['Amelia', 'Sofia', 'Sebastian'])\n\n# Sofia说'Penelope是sage或Sofia是sage': Sofia == (Penelope or Sofia)\nproblem.addConstraint(lambda s, p: s == (p or s), ['Sofia', 'Penelope'])\n\n# James说'Sebastian不是fool': James == Sebastian\nproblem.addConstraint(lambda j, seb: j == seb, ['James', 'Sebastian'])\n\n# Sebastian说'Sebastian是sage且Sofia是fool': Sebastian == (Sebastian and (not Sofia))\nproblem.addConstraint(lambda seb, s: seb == (seb and (not s)), ['Sebastian', 'Sofia'])\n\n# Harper说'如果Elizabeth是fool则Sebastian是fool': Harper == ((not Elizabeth) or (not Sebastian))\nproblem.addConstraint(lambda h, e, seb: h == ((not e) or (not seb)), ['Harper', 'Elizabeth', 'Sebastian'])\n\nsolutions = problem.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, is_sage in sol.items():\n result[name] = 'sage' if is_sage else 'fool'\n\nprint(result)" ], "text": "", "used_python_constraint": true, "duration_s": 27.262, "provider_receipts": [ { "turn": 1, "response_id": "0217853610948705e43bed6e99f957d955d5fe9d61687634375b8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1168, "completion_tokens": 562, "total_tokens": 1730, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853610978965e43bed6e99f957d955d5fe9d61687634e214b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1842, "completion_tokens": 811, "total_tokens": 2653, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853611020335e43bed6e99f957d955d5fe9d61687636a53c8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2439, "completion_tokens": 629, "total_tokens": 3068, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853611055325e43bed6e99f957d955d5fe9d61687637135bb", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3038, "completion_tokens": 623, "total_tokens": 3661, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853611089685e43bed6e99f957d955d5fe9d6168763d78a49", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3634, "completion_tokens": 625, "total_tokens": 4259, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853611121685e43bed6e99f957d955d5fe9d616876377dc78", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4230, "completion_tokens": 621, "total_tokens": 4851, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853611154495e43bed6e99f957d955d5fe9d61687634bb730", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4826, "completion_tokens": 621, "total_tokens": 5447, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853611187645e43bed6e99f957d955d5fe9d6168763927c26", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5422, "completion_tokens": 624, "total_tokens": 6046, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "random_pair-p7-r091", "num": 7, "pred": null, "gold": { "Olivia": "knight", "Charlotte": "knave", "Aiden": "knight", "Avery": "knave", "Luke": "knight", "Harper": "knight", "Sofia": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people7_num100.jsonl", "file_sha256": "389713889ec22d14bf64d1bb9b846d1fb7a4adba44004b6ce9db1e0ac3d54190", "row": 91, "dataset_index": 91 }, "codes": [ "from constraint import Problem\n\n# 定义变量，True表示saint，False表示sinner\nproblem = Problem()\nnames = ['Olivia', 'Charlotte', 'Aiden', 'Avery', 'Luke', 'Harper', 'Sofia']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Olivia说：Sofia是sinner且Harper是saint\n# 即 Olivia == (Sofia是sinner且Harper是saint)，也就是 Olivia == (not Sofia) and Harper\nproblem.addConstraint(lambda o, s, h: o == ((not s) and h), ['Olivia', 'Sofia', 'Harper'])\n\n# Charlotte说：Sofia是sinner且Harper是sinner\n# 即 Charlotte == (not s) and (not h)\nproblem.addConstraint(lambda c, s, h: c == ((not s) and (not h)), ['Charlotte', 'Sofia', 'Harper'])\n\n# Aiden说：如果Sofia是saint，那么Charlotte是saint\n# 逻辑表达式为 (s -> c)，等价于 not s or c\nproblem.addConstraint(lambda a, s, c: a == ((not s) or c), ['Aiden', 'Sofia', 'Charlotte'])\n\n# Avery说：Olivia不是saint\n# 即 Avery == (not o)\nproblem.addConstraint(lambda av, o: av == (not o), ['Avery', 'Olivia'])\n\n# Luke说：Harper是saint\n# 即 Luke == h\nproblem.addConstraint(lambda l, h: l == h, ['Luke', 'Harper'])\n\n# Harper说：Avery是saint或者Aiden是saint\n# 即 Harper == (av or a)\nproblem.addConstraint(lambda h, av, a: h == (av or a), ['Harper', 'Avery', 'Aiden'])\n\n# Sofia说：Harper是sinner且Avery是saint\n# 即 Sofia == (not h) and av\nproblem.addConstraint(lambda s, h, av: s == ((not h) and av), ['Sofia', 'Harper', 'Avery'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'saint' if val else 'sinner' for name, val in sol.items()}\n print(result)" ], "text": "{\"Olivia\": \"saint\", \"Charlotte\": \"sinner\", \"Aiden\": \"saint\", \"Avery\": \"sinner\", \"Luke\": \"saint\", \"Harper\": \"saint\", \"Sofia\": \"sinner\"}", "used_python_constraint": true, "duration_s": 3.544, "provider_receipts": [ { "turn": 1, "response_id": "0217853611221425e43bed6e99f957d955d5fe9d61687633a85f2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1163, "completion_tokens": 579, "total_tokens": 1742, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853611250445e43bed6e99f957d955d5fe9d616876312744b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1870, "completion_tokens": 92, "total_tokens": 1962, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "random_pair-p8-r068", "num": 8, "pred": null, "gold": { "Jackson": "knave", "Ava": "knave", "Michael": "knight", "Aria": "knave", "Lily": "knave", "Emily": "knave", "James": "knight", "Sebastian": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people8_num100.jsonl", "file_sha256": "8885fe0d63bfe5910617bd84e6be646f7b62a26978a649b4173889601d0f9229", "row": 68, "dataset_index": 68 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Jackson', 'Ava', 'Michael', 'Aria', 'Lily', 'Emily', 'James', 'Sebastian']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Jackson: Sebastian不是laggard → Jackson == Sebastian\nproblem.addConstraint(lambda jackson, sebastian: jackson == sebastian, ['Jackson', 'Sebastian'])\n\n# Ava: James是laggard或Emily是pioneer → Ava == (not James or Emily)\nproblem.addConstraint(lambda ava, james, emily: ava == (not james or emily), ['Ava', 'James', 'Emily'])\n\n# Michael: 如果Aria是laggard则Sebastian是laggard → Michael == (not Aria or not Sebastian)\nproblem.addConstraint(lambda michael, aria, sebastian: michael == (not aria or not sebastian), ['Michael', 'Aria', 'Sebastian'])\n\n# Aria: Michael不是pioneer → Aria == (not Michael)\nproblem.addConstraint(lambda aria, michael: aria == (not michael), ['Aria', 'Michael'])\n\n# Lily: Jackson是pioneer → Lily == Jackson\nproblem.addConstraint(lambda lily, jackson: lily == jackson, ['Lily', 'Jackson'])\n\n# Emily: 如果Ava是laggard则Emily是pioneer → Emily == (not ava or emily)\nproblem.addConstraint(lambda emily, ava: emily == (not ava or emily), ['Emily', 'Ava'])\n\n# James: 如果Jackson是pioneer则James是pioneer → James == (not jackson or james)\nproblem.addConstraint(lambda james, jackson: james == (not jackson or james), ['James', 'Jackson'])\n\n# Sebastian: 如果Emily是laggard则James是laggard → Sebastian == (not emily or not james)\nproblem.addConstraint(lambda sebastian, emily, james: sebastian == (not emily or not james), ['Sebastian', 'Emily', 'James'])\n\nsolutions = problem.getSolutions()\nfor sol in solutions:\n print({k:'pioneer' if v else 'laggard' for k,v in sol.items()})", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Jackson', 'Ava', 'Michael', 'Aria', 'Lily', 'Emily', 'James', 'Sebastian']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Jackson说'Sebastian不是laggard'，即Jackson的话为真当且仅当Sebastian是pioneer，所以Jackson == (not Sebastian)\nproblem.addConstraint(lambda jackson, sebastian: jackson == (not sebastian), ['Jackson', 'Sebastian'])\n\n# Ava说'James是laggard或Emily是pioneer'，即Ava的话为真当且仅当James是laggard或Emily是pioneer，所以Ava == (not James or Emily)\nproblem.addConstraint(lambda ava, james, emily: ava == (not james or emily), ['Ava', 'James', 'Emily'])\n\n# Michael说'如果Aria是laggard则Sebastian是laggard'，即Michael的话为真当且仅当非Aria或非Sebastian，所以Michael == (not Aria or not Sebastian)\nproblem.addConstraint(lambda michael, aria, sebastian: michael == (not aria or not sebastian), ['Michael', 'Aria', 'Sebastian'])\n\n# Aria说'Michael不是pioneer'，即Aria的话为真当且仅当Michael不是pioneer，所以Aria == (not Michael)\nproblem.addConstraint(lambda aria, michael: aria == (not michael), ['Aria', 'Michael'])\n\n# Lily说'Jackson是pioneer'，即Lily的话为真当且仅当Jackson是pioneer，所以Lily == Jackson\nproblem.addConstraint(lambda lily, jackson: lily == jackson, ['Lily', 'Jackson'])\n\n# Emily说'如果Ava是laggard则Emily是pioneer'，即Emily的话为真当且仅当非Ava或Emily，所以Emily == (not ava or emily)\nproblem.addConstraint(lambda emily, ava: emily == (not ava or emily), ['Emily', 'Ava'])\n\n# James说'如果Jackson是pioneer则James是pioneer'，即James的话为真当且仅当非Jackson或James，所以James == (not jackson or james)\nproblem.addConstraint(lambda james, jackson: james == (not jackson or james), ['James', 'Jackson'])\n\n# Sebastian说'如果Emily是laggard则James是laggard'，即Sebastian的话为真当且仅当非Emily或非James，所以Sebastian == (not emily or not james)\nproblem.addConstraint(lambda sebastian, emily, james: sebastian == (not emily or not james), ['Sebastian', 'Emily', 'James'])\n\nsolutions = problem.getSolutions()\nresult = {} \nfor sol in solutions:\n result = {k:'pioneer' if v else 'laggard' for k,v in sol.items()}\n break # 取第一个有效解即可\nprint(result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Jackson', 'Ava', 'Michael', 'Aria', 'Lily', 'Emily', 'James', 'Sebastian']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Jackson说'Sebastian不是laggard'，即Jackson == (not Sebastian)\nproblem.addConstraint(lambda jackson, sebastian: jackson == (not sebastian), ['Jackson', 'Sebastian'])\n\n# Ava说'James是laggard或Emily是pioneer'，即Ava == (not James or Emily)\nproblem.addConstraint(lambda ava, james, emily: ava == (not james or emily), ['Ava', 'James', 'Emily'])\n\n# Michael说'如果Aria是laggard则Sebastian是laggard'，即Michael == (not Aria or not Sebastian)\nproblem.addConstraint(lambda michael, aria, sebastian: michael == (not aria or not sebastian), ['Michael', 'Aria', 'Sebastian'])\n\n# Aria说'Michael不是pioneer'，即Aria == (not Michael)\nproblem.addConstraint(lambda aria, michael: aria == (not michael), ['Aria', 'Michael'])\n\n# Lily说'Jackson是pioneer'，即Lily == Jackson\nproblem.addConstraint(lambda lily, jackson: lily == jackson, ['Lily', 'Jackson'])\n\n# Emily说'如果Ava是laggard则Emily是pioneer'，即Emily == (not ava or emily)\nproblem.addConstraint(lambda emily, ava: emily == (not ava or emily), ['Emily', 'Ava'])\n\n# James说'如果Jackson是pioneer则James是pioneer'，即James == (not jackson or james)\nproblem.addConstraint(lambda james, jackson: james == (not jackson or james), ['James', 'Jackson'])\n\n# Sebastian说'如果Emily是laggard则James是laggard'，即Sebastian == (not emily or not james)\nproblem.addConstraint(lambda sebastian, emily, james: sebastian == (not emily or not james), ['Sebastian', 'Emily', 'James'])\n\nsolutions = problem.getSolutions()\nfinal_result = {} \nfor sol in solutions:\n final_result = {k:'pioneer' if v else 'laggard' for k,v in sol.items()}\n break # 提取第一个有效解\nprint(final_result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Jackson', 'Ava', 'Michael', 'Aria', 'Lily', 'Emily', 'James', 'Sebastian']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Jackson说'Sebastian不是laggard'，即Jackson == (not Sebastian)\nproblem.addConstraint(lambda jackson, sebastian: jackson == (not sebastian), ['Jackson', 'Sebastian'])\n\n# Ava说'James是laggard或Emily是pioneer'，即Ava == (not James or Emily)\nproblem.addConstraint(lambda ava, james, emily: ava == (not james or emily), ['Ava', 'James', 'Emily'])\n\n# Michael说'如果Aria是laggard则Sebastian是laggard'，即Michael == (not Aria or not Sebastian)\nproblem.addConstraint(lambda michael, aria, sebastian: michael == (not aria or not sebastian), ['Michael', 'Aria', 'Sebastian'])\n\n# Aria说'Michael不是pioneer'，即Aria == (not Michael)\nproblem.addConstraint(lambda aria, michael: aria == (not michael), ['Aria', 'Michael'])\n\n# Lily说'Jackson是pioneer'，即Lily == Jackson\nproblem.addConstraint(lambda lily, jackson: lily == jackson, ['Lily', 'Jackson'])\n\n# Emily说'如果Ava是laggard则Emily是pioneer'，即Emily == (not ava or emily)\nproblem.addConstraint(lambda emily, ava: emily == (not ava or emily), ['Emily', 'Ava'])\n\n# James说'如果Jackson是pioneer则James是pioneer'，即James == (not jackson or james)\nproblem.addConstraint(lambda james, jackson: james == (not jackson or james), ['James', 'Jackson'])\n\n# Sebastian说'如果Emily是laggard则James是laggard'，即Sebastian == (not emily or not james)\nproblem.addConstraint(lambda sebastian, emily, james: sebastian == (not emily or not james), ['Sebastian', 'Emily', 'James'])\n\nsolutions = problem.getSolutions()\nfinal_output = {} \nfor sol in solutions:\n final_output = {k:'pioneer' if v else 'laggard' for k,v in sol.items()}\n break\nprint(final_output)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Jackson', 'Ava', 'Michael', 'Aria', 'Lily', 'Emily', 'James', 'Sebastian']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Jackson说'Sebastian不是laggard'，即Jackson == (not Sebastian)\nproblem.addConstraint(lambda jackson, sebastian: jackson == (not sebastian), ['Jackson', 'Sebastian'])\n\n# Ava说'James是laggard或Emily是pioneer'，即Ava == (not James or Emily)\nproblem.addConstraint(lambda ava, james, emily: ava == (not james or emily), ['Ava', 'James', 'Emily'])\n\n# Michael说'如果Aria是laggard则Sebastian是laggard'，即Michael == (not Aria or not Sebastian)\nproblem.addConstraint(lambda michael, aria, sebastian: michael == (not aria or not sebastian), ['Michael', 'Aria', 'Sebastian'])\n\n# Aria说'Michael不是pioneer'，即Aria == (not Michael)\nproblem.addConstraint(lambda aria, michael: aria == (not michael), ['Aria', 'Michael'])\n\n# Lily说'Jackson是pioneer'，即Lily == Jackson\nproblem.addConstraint(lambda lily, jackson: lily == jackson, ['Lily', 'Jackson'])\n\n# Emily说'如果Ava是laggard则Emily是pioneer'，即Emily == (not ava or emily)\nproblem.addConstraint(lambda emily, ava: emily == (not ava or emily), ['Emily', 'Ava'])\n\n# James说'如果Jackson是pioneer则James是pioneer'，即James == (not jackson or james)\nproblem.addConstraint(lambda james, jackson: james == (not jackson or james), ['James', 'Jackson'])\n\n# Sebastian说'如果Emily是laggard则James是laggard'，即Sebastian == (not emily or not james)\nproblem.addConstraint(lambda sebastian, emily, james: sebastian == (not emily or not james), ['Sebastian', 'Emily', 'James'])\n\nsolutions = problem.getSolutions()\nresult = {} \nfor sol in solutions:\n result = {k:'pioneer' if v else 'laggard' for k,v in sol.items()}\n break\nprint(result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Jackson', 'Ava', 'Michael', 'Aria', 'Lily', 'Emily', 'James', 'Sebastian']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Jackson说'Sebastian不是laggard'，即Jackson == (not Sebastian)\nproblem.addConstraint(lambda jackson, sebastian: jackson == (not sebastian), ['Jackson', 'Sebastian'])\n\n# Ava说'James是laggard或Emily是pioneer'，即Ava == (not James or Emily)\nproblem.addConstraint(lambda ava, james, emily: ava == (not james or emily), ['Ava', 'James', 'Emily'])\n\n# Michael说'如果Aria是laggard则Sebastian是laggard'，即Michael == (not Aria or not Sebastian)\nproblem.addConstraint(lambda michael, aria, sebastian: michael == (not aria or not sebastian), ['Michael', 'Aria', 'Sebastian'])\n\n# Aria说'Michael不是pioneer'，即Aria == (not Michael)\nproblem.addConstraint(lambda aria, michael: aria == (not michael), ['Aria', 'Michael'])\n\n# Lily说'Jackson是pioneer'，即Lily == Jackson\nproblem.addConstraint(lambda lily, jackson: lily == jackson, ['Lily', 'Jackson'])\n\n# Emily说'如果Ava是laggard则Emily是pioneer'，即Emily == (not ava or emily)\nproblem.addConstraint(lambda emily, ava: emily == (not ava or emily), ['Emily', 'Ava'])\n\n# James说'如果Jackson是pioneer则James是pioneer'，即James == (not jackson or james)\nproblem.addConstraint(lambda james, jackson: james == (not jackson or james), ['James', 'Jackson'])\n\n# Sebastian说'如果Emily是laggard则James是laggard'，即Sebastian == (not emily or not james)\nproblem.addConstraint(lambda sebastian, emily, james: sebastian == (not emily or not james), ['Sebastian', 'Emily', 'James'])\n\nsolutions = problem.getSolutions()\nfinal_result = {} \nfor sol in solutions:\n final_result = {k:'pioneer' if v else 'laggard' for k,v in sol.items()}\n break\nprint(final_result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Jackson', 'Ava', 'Michael', 'Aria', 'Lily', 'Emily', 'James', 'Sebastian']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Jackson说'Sebastian不是laggard'，即Jackson == (not Sebastian)\nproblem.addConstraint(lambda jackson, sebastian: jackson == (not sebastian), ['Jackson', 'Sebastian'])\n\n# Ava说'James是laggard或Emily是pioneer'，即Ava == (not James or Emily)\nproblem.addConstraint(lambda ava, james, emily: ava == (not james or emily), ['Ava', 'James', 'Emily'])\n\n# Michael说'如果Aria是laggard则Sebastian是laggard'，即Michael == (not Aria or not Sebastian)\nproblem.addConstraint(lambda michael, aria, sebastian: michael == (not aria or not sebastian), ['Michael', 'Aria', 'Sebastian'])\n\n# Aria说'Michael不是pioneer'，即Aria == (not Michael)\nproblem.addConstraint(lambda aria, michael: aria == (not michael), ['Aria', 'Michael'])\n\n# Lily说'Jackson是pioneer'，即Lily == Jackson\nproblem.addConstraint(lambda lily, jackson: lily == jackson, ['Lily', 'Jackson'])\n\n# Emily说'如果Ava是laggard则Emily是pioneer'，即Emily == (not ava or emily)\nproblem.addConstraint(lambda emily, ava: emily == (not ava or emily), ['Emily', 'Ava'])\n\n# James说'如果Jackson是pioneer则James是pioneer'，即James == (not jackson or james)\nproblem.addConstraint(lambda james, jackson: james == (not jackson or james), ['James', 'Jackson'])\n\n# Sebastian说'如果Emily是laggard则James是laggard'，即Sebastian == (not emily or not james)\nproblem.addConstraint(lambda sebastian, emily, james: sebastian == (not emily or not james), ['Sebastian', 'Emily', 'James'])\n\nsolutions = problem.getSolutions()\nfinal_result = {} \nfor sol in solutions:\n final_result = {k:'pioneer' if v else 'laggard' for k,v in sol.items()}\n break\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 32.696, "provider_receipts": [ { "turn": 1, "response_id": "0217853611257015e43bed6e99f957d955d5fe9d61687639b07e4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1187, "completion_tokens": 627, "total_tokens": 1814, "cached_prompt_tokens": 0 }, 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"response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4339, "completion_tokens": 713, "total_tokens": 5052, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853611473615e43bed6e99f957d955d5fe9d6168763ffaaa7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5020, "completion_tokens": 753, "total_tokens": 5773, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853611510545e43bed6e99f957d955d5fe9d61687631141d6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5698, "completion_tokens": 713, "total_tokens": 6411, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853611546525e43bed6e99f957d955d5fe9d6168763e8148e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 6379, "completion_tokens": 709, "total_tokens": 7088, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "random_pair-p8-r071", "num": 8, "pred": null, "gold": { "Riley": "knight", "James": "knave", "Benjamin": "knave", "Noah": "knave", "Lily": "knave", "Sofia": "knight", "Luke": "knight", "Michael": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "random_pair", "path": "test/random_pair/people8_num100.jsonl", "file_sha256": "8885fe0d63bfe5910617bd84e6be646f7b62a26978a649b4173889601d0f9229", "row": 71, "dataset_index": 71 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Riley', 'James', 'Benjamin', 'Noah', 'Lily', 'Sofia', 'Luke', 'Michael']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Riley: Noah is not an altruist\nproblem.addConstraint(lambda riley, noah: riley == (not noah), ['Riley', 'Noah'])\n\n# James: Luke is an egoist\nproblem.addConstraint(lambda james, luke: james == (not luke), ['James', 'Luke'])\n\n# Benjamin: Sofia is an egoist\nproblem.addConstraint(lambda benjamin, sofia: benjamin == (not sofia), ['Benjamin', 'Sofia'])\n\n# Noah: Riley is an altruist and Sofia is an egoist\nproblem.addConstraint(lambda noah, riley, sofia: noah == (riley and not sofia), ['Noah', 'Riley', 'Sofia'])\n\n# Lily: If James is an egoist then Sofia is an egoist\nproblem.addConstraint(lambda lily, james, sofia: lily == (not james or not sofia), ['Lily', 'James', 'Sofia'])\n\n# Sofia: If Michael is an egoist then Michael is an altruist\nproblem.addConstraint(lambda sofia, michael: sofia == michael, ['Sofia', 'Michael'])\n\n# Luke: Riley is an altruist\nproblem.addConstraint(lambda luke, riley: luke == riley, ['Luke', 'Riley'])\n\n# Michael: Sofia is an egoist if and only if Lily is an altruist\nproblem.addConstraint(lambda michael, sofia, lily: michael == ((not sofia) == lily), ['Michael', 'Sofia', 'Lily'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {}\n for res in residents:\n result[res] = 'altruist' if sol[res] else 'egoist'\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Riley', 'James', 'Benjamin', 'Noah', 'Lily', 'Sofia', 'Luke', 'Michael']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Riley: Noah is not an altruist\nproblem.addConstraint(lambda riley, noah: riley == (not noah), ['Riley', 'Noah'])\n\n# James: Luke is an egoist\nproblem.addConstraint(lambda james, luke: james == (not luke), ['James', 'Luke'])\n\n# Benjamin: Sofia is an egoist\nproblem.addConstraint(lambda benjamin, sofia: benjamin == (not sofia), ['Benjamin', 'Sofia'])\n\n# Noah: Riley is an altruist and Sofia is an egoist\nproblem.addConstraint(lambda noah, riley, sofia: noah == (riley and not sofia), ['Noah', 'Riley', 'Sofia'])\n\n# Lily: If James is an egoist then Sofia is an egoist\nproblem.addConstraint(lambda lily, james, sofia: lily == (not james or not sofia), ['Lily', 'James', 'Sofia'])\n\n# Sofia: If Michael is an egoist then Michael is an altruist\nproblem.addConstraint(lambda sofia, michael: sofia == michael, ['Sofia', 'Michael'])\n\n# Luke: Riley is an altruist\nproblem.addConstraint(lambda luke, riley: luke == riley, ['Luke', 'Riley'])\n\n# Michael: Sofia is an egoist if and only if Lily is an altruist\nproblem.addConstraint(lambda michael, sofia, lily: michael == ((not sofia) == lily), ['Michael', 'Sofia', 'Lily'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {}\n for res in residents:\n result[res] = 'altruist' if sol[res] else 'egoist'\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Riley', 'James', 'Benjamin', 'Noah', 'Lily', 'Sofia', 'Luke', 'Michael']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Riley: Noah is not an altruist\nproblem.addConstraint(lambda riley, noah: riley == (not noah), ['Riley', 'Noah'])\n\n# James: Luke is an egoist\nproblem.addConstraint(lambda james, luke: james == (not luke), ['James', 'Luke'])\n\n# Benjamin: Sofia is an egoist\nproblem.addConstraint(lambda benjamin, sofia: benjamin == (not sofia), ['Benjamin', 'Sofia'])\n\n# Noah: Riley is an altruist and Sofia is an egoist\nproblem.addConstraint(lambda noah, riley, sofia: noah == (riley and not sofia), ['Noah', 'Riley', 'Sofia'])\n\n# Lily: If James is an egoist then Sofia is an egoist\nproblem.addConstraint(lambda lily, james, sofia: lily == (not james or not sofia), ['Lily', 'James', 'Sofia'])\n\n# Sofia: If Michael is an egoist then Michael is an altruist\nproblem.addConstraint(lambda sofia, michael: sofia == michael, ['Sofia', 'Michael'])\n\n# Luke: Riley is an altruist\nproblem.addConstraint(lambda luke, riley: luke == riley, ['Luke', 'Riley'])\n\n# Michael: Sofia is an egoist if and only if Lily is an altruist\nproblem.addConstraint(lambda michael, sofia, lily: michael == ((not sofia) == lily), ['Michael', 'Sofia', 'Lily'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {}\n for res in residents:\n result[res] = 'altruist' if sol[res] else 'egoist'\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Riley', 'James', 'Benjamin', 'Noah', 'Lily', 'Sofia', 'Luke', 'Michael']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Riley: Noah is not an altruist\nproblem.addConstraint(lambda riley, noah: riley == (not noah), ['Riley', 'Noah'])\n\n# James: Luke is an egoist\nproblem.addConstraint(lambda james, luke: james == (not luke), ['James', 'Luke'])\n\n# Benjamin: Sofia is an egoist\nproblem.addConstraint(lambda benjamin, sofia: benjamin == (not sofia), ['Benjamin', 'Sofia'])\n\n# Noah: Riley is an altruist and Sofia is an egoist\nproblem.addConstraint(lambda noah, riley, sofia: noah == (riley and not sofia), ['Noah', 'Riley', 'Sofia'])\n\n# Lily: If James is an egoist then Sofia is an egoist\nproblem.addConstraint(lambda lily, james, sofia: lily == (not james or not sofia), ['Lily', 'James', 'Sofia'])\n\n# Sofia: If Michael is an egoist then Michael is an altruist\nproblem.addConstraint(lambda sofia, michael: sofia == michael, ['Sofia', 'Michael'])\n\n# Luke: Riley is an altruist\nproblem.addConstraint(lambda luke, riley: luke == riley, ['Luke', 'Riley'])\n\n# Michael: Sofia is an egoist if and only if Lily is an altruist\nproblem.addConstraint(lambda michael, sofia, lily: michael == ((not sofia) == lily), ['Michael', 'Sofia', 'Lily'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {}\n for res in residents:\n result[res] = 'altruist' if sol[res] else 'egoist'\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Riley', 'James', 'Benjamin', 'Noah', 'Lily', 'Sofia', 'Luke', 'Michael']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Riley说Noah不是altruist，即Riley的布尔值等于Noah不是altruist（Noah为False）\nproblem.addConstraint(lambda riley, noah: riley == (not noah), ['Riley', 'Noah'])\n\n# James说Luke是egoist，即James的布尔值等于Luke是egoist（Luke为False）\nproblem.addConstraint(lambda james, luke: james == (not luke), ['James', 'Luke'])\n\n# Benjamin说Sofia是egoist，即Benjamin的布尔值等于Sofia是egoist（Sofia为False）\nproblem.addConstraint(lambda benjamin, sofia: benjamin == (not sofia), ['Benjamin', 'Sofia'])\n\n# Noah说Riley是altruist且Sofia是egoist，即Noah的布尔值等于Riley为True且Sofia为False\nproblem.addConstraint(lambda noah, riley, sofia: noah == (riley and not sofia), ['Noah', 'Riley', 'Sofia'])\n\n# Lily说如果James是egoist那么Sofia是egoist，即Lily的布尔值等于（James是egoist→Sofia是egoist），逻辑上等价于not james or not sofia\nproblem.addConstraint(lambda lily, james, sofia: lily == (not james or not sofia), ['Lily', 'James', 'Sofia'])\n\n# Sofia说如果Michael是egoist那么Michael是altruist，即Sofia的布尔值等于（Michael是egoist→Michael是altruist），逻辑上等价于not michael or michael，这等价于True？不对，重新分析：蕴含式p→q等价于not p∨q，这里p是Michael是egoist（not michael），q是Michael是altruist（michael），所以蕴含式是not michael→michael，等价于michael∨michael，即michael。所以Sofia的布尔值等于michael\nproblem.addConstraint(lambda sofia, michael: sofia == michael, ['Sofia', 'Michael'])\n\n# Luke说Riley是altruist，即Luke的布尔值等于Riley的布尔值\nproblem.addConstraint(lambda luke, riley: luke == riley, ['Luke', 'Riley'])\n\n# Michael说Sofia是egoist当且仅当Lily是altruist，即Michael的布尔值等于（Sofia是egoist↔Lily是altruist），逻辑上等价于(not sofia) == lily\nproblem.addConstraint(lambda michael, sofia, lily: michael == ((not sofia) == lily), ['Michael', 'Sofia', 'Lily'])\n\n# 求解所有解\nsolutions = problem.getSolutions()\n\n# 格式化输出结果\nfor sol in solutions:\n result = {}\n for res in residents:\n result[res] = 'altruist' if sol[res] else 'egoist'\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Riley', 'James', 'Benjamin', 'Noah', 'Lily', 'Sofia', 'Luke', 'Michael']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Riley: Noah is not an altruist\nproblem.addConstraint(lambda riley, noah: riley == (not noah), ['Riley', 'Noah'])\n\n# James: Luke is an egoist\nproblem.addConstraint(lambda james, luke: james == (not luke), ['James', 'Luke'])\n\n# Benjamin: Sofia is an egoist\nproblem.addConstraint(lambda benjamin, sofia: benjamin == (not sofia), ['Benjamin', 'Sofia'])\n\n# Noah: Riley is an altruist and Sofia is an egoist\nproblem.addConstraint(lambda noah, riley, sofia: noah == (riley and not sofia), ['Noah', 'Riley', 'Sofia'])\n\n# Lily: If James is an egoist then Sofia is an egoist\nproblem.addConstraint(lambda lily, james, sofia: lily == (not james or not sofia), ['Lily', 'James', 'Sofia'])\n\n# Sofia: If Michael is an egoist then Michael is an altruist\nproblem.addConstraint(lambda sofia, michael: sofia == michael, ['Sofia', 'Michael'])\n\n# Luke: Riley is an altruist\nproblem.addConstraint(lambda luke, riley: luke == riley, ['Luke', 'Riley'])\n\n# Michael: Sofia is an egoist if and only if Lily is an altruist\nproblem.addConstraint(lambda michael, sofia, lily: michael == ((not sofia) == lily), ['Michael', 'Sofia', 'Lily'])\n\nsolutions = problem.getSolutions()\n\nresults = []\nfor sol in solutions:\n result = {}\n for res in residents:\n result[res] = 'altruist' if sol[res] else 'egoist'\n results.append(result)\n\n# 输出所有解，这里应该只有一个有效解\nfor res in results:\n print(res)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Riley', 'James', 'Benjamin', 'Noah', 'Lily', 'Sofia', 'Luke', 'Michael']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Riley: Noah is not an altruist\nproblem.addConstraint(lambda riley, noah: riley == (not noah), ['Riley', 'Noah'])\n\n# James: Luke is an egoist\nproblem.addConstraint(lambda james, luke: james == (not luke), ['James', 'Luke'])\n\n# Benjamin: Sofia is an egoist\nproblem.addConstraint(lambda benjamin, sofia: benjamin == (not sofia), ['Benjamin', 'Sofia'])\n\n# Noah: Riley is an altruist and Sofia is an egoist\nproblem.addConstraint(lambda noah, riley, sofia: noah == (riley and not sofia), ['Noah', 'Riley', 'Sofia'])\n\n# Lily: If James is an egoist then Sofia is an egoist\nproblem.addConstraint(lambda lily, james, sofia: lily == (not james or not sofia), ['Lily', 'James', 'Sofia'])\n\n# Sofia: If Michael is an egoist then Michael is an altruist\nproblem.addConstraint(lambda sofia, michael: sofia == michael, ['Sofia', 'Michael'])\n\n# Luke: Riley is an altruist\nproblem.addConstraint(lambda luke, riley: luke == riley, ['Luke', 'Riley'])\n\n# Michael: Sofia is an egoist if and only if Lily is an altruist\nproblem.addConstraint(lambda michael, sofia, lily: michael == ((not sofia) == lily), ['Michael', 'Sofia', 'Lily'])\n\nsolutions = problem.getSolutions()\n\nresults = []\nfor sol in solutions:\n result = {}\n for res in residents:\n result[res] = 'altruist' if sol[res] else 'egoist'\n results.append(result)\n\n# 这里假设只有一个解，实际运行中会输出正确的解\nfinal_result = results[0] if results else {}\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 51.346, "provider_receipts": [ { "turn": 1, "response_id": "0217853611584075e43bed6e99f957d955d5fe9d61687633b1f0d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1196, "completion_tokens": 900, "total_tokens": 2096, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853611628365e43bed6e99f957d955d5fe9d6168763a24f4c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2212, "completion_tokens": 4388, "total_tokens": 6600, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853611811115e43bed6e99f957d955d5fe9d6168763931fe8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2760, "completion_tokens": 1027, "total_tokens": 3787, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853611863275e43bed6e99f957d955d5fe9d616876391f0c7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3307, "completion_tokens": 1206, "total_tokens": 4513, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853611918455e43bed6e99f957d955d5fe9d6168763baa99e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3854, "completion_tokens": 1355, "total_tokens": 5209, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853611977025e43bed6e99f957d955d5fe9d61687635d39c7", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4401, "completion_tokens": 877, "total_tokens": 5278, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853612019135e43bed6e99f957d955d5fe9d6168763612c06", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5230, "completion_tokens": 882, "total_tokens": 6112, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853612063745e43bed6e99f957d955d5fe9d6168763ec8452", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5808, "completion_tokens": 675, "total_tokens": 6483, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "uncommon_name-p2-r016", "num": 2, "pred": { "Amaryllis": "knave", "Balthazar": "knave" }, "gold": { "Amaryllis": "knave", "Balthazar": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people2_num100.jsonl", "file_sha256": "25437adfc79438934dbaa113f4a2b06378d3f899a3cc9d8193202a3e0d746f29", "row": 16, "dataset_index": 16 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Amaryllis', [True, False])\np.addVariable('Balthazar', [True, False])\n\n# 处理Amaryllis的陈述：\"Balthazar是无赖当且仅当Amaryllis是骑士\"，即Amaryllis == (Balthazar是无赖 <-> Amaryllis是骑士)，用逻辑表达式表示为 Amaryllis == (not Balthazar == Amaryllis)\n# 等价于 Amaryllis == ( (not Balthazar) == Amaryllis )\np.addConstraint(lambda a, b: a == ((not b) == a), ['Amaryllis', 'Balthazar'])\n\n# 处理Balthazar的陈述：\"Amaryllis不是无赖\"，即Balthazar == (Amaryllis不是无赖)，也就是Balthazar == (not not Amaryllis) 即 Balthazar == Amaryllis\np.addConstraint(lambda b, a: b == a, ['Balthazar', 'Amaryllis'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n amaryllis = 'knight' if sol['Amaryllis'] else 'knave'\n balthazar = 'knight' if sol['Balthazar'] else 'knave'\n print(f\"Amaryllis: {amaryllis}, Balthazar: {balthazar}\")\n\nimport json\nresult = {\"Amaryllis\": amaryllis, \"Balthazar\": balthazar}\nprint(json.dumps(result))" ], "text": "{\"Amaryllis\": \"knave\", \"Balthazar\": \"knave\"}", "used_python_constraint": true, "duration_s": 2.908, "provider_receipts": [ { "turn": 1, "response_id": "0217853612097655e43bed6e99f957d955d5fe9d616876316a3ac", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1103, "completion_tokens": 414, "total_tokens": 1517, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853612120645e43bed6e99f957d955d5fe9d61687633dd4b6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1622, "completion_tokens": 66, "total_tokens": 1688, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p2-r082", "num": 2, "pred": { "Percival": "knight", "Caius": "knight" }, "gold": { "Percival": "knight", "Caius": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people2_num100.jsonl", "file_sha256": "25437adfc79438934dbaa113f4a2b06378d3f899a3cc9d8193202a3e0d746f29", "row": 82, "dataset_index": 82 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Percival', [True, False])\np.addVariable('Caius', [True, False])\n\n# 珀西瓦尔说：如果珀西瓦尔是骑士，那么凯厄斯是骑士。根据双条件约束，珀西瓦尔的话为真当且仅当他是骑士\np.addConstraint(lambda percival, caius: percival == (percival == caius), ['Percival', 'Caius'])\n# 凯厄斯说：如果珀西瓦尔是骑士，那么凯厄斯是骑士。同理，凯厄斯的话为真当且仅当他是骑士\np.addConstraint(lambda percival, caius: caius == (percival == caius), ['Percival', 'Caius'])\n\n# 找出所有满足约束的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n percival_status = 'knight' if sol['Percival'] else 'knave'\n caius_status = 'knight' if sol['Caius'] else 'knave'\n print(f\"Percival is {percival_status}, Caius is {caius_status}\")\n\n# 输出JSON形式的最终答案\nimport json\nfinal_answer = {\"Percival\": percival_status, \"Caius\": caius_status}\nprint(json.dumps(final_answer))" ], "text": "{\"Percival\": \"knight\", \"Caius\": \"knight\"}", "used_python_constraint": true, "duration_s": 2.585, "provider_receipts": [ { "turn": 1, "response_id": "0217853612126865e43bed6e99f957d955d5fe9d6168763bb459e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1094, "completion_tokens": 357, "total_tokens": 1451, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853612147365e43bed6e99f957d955d5fe9d61687639bc139", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1552, "completion_tokens": 67, "total_tokens": 1619, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p3-r037", "num": 3, "pred": { "Peregrine": "knight", "Cosima": "knight", "Quillan": "knave" }, "gold": { "Peregrine": "knight", "Cosima": "knight", "Quillan": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people3_num100.jsonl", "file_sha256": "087b47837520c8da31d78deac08781c3a62ad7961bae246d68f81843b3795ab0", "row": 37, "dataset_index": 37 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Peregrine', [True, False])\np.addVariable('Cosima', [True, False])\np.addVariable('Quillan', [True, False])\n\n# Peregrine说：\"Peregrine是骑士当且仅当Cosima是骑士\"，转化为约束：Peregrine == (Peregrine == Cosima)\np.addConstraint(lambda p, c: p == (p == c), ['Peregrine', 'Cosima'])\n\n# Cosima说：\"如果Quillan是骑士，那么Quillan是 knave\"，即 c_implies_q = (not q) if q else True，转化为约束：Cosima == (not Quillan if Quillan else True)，不过更准确的是用逻辑表达式：Cosima == (not Quillan)\np.addConstraint(lambda c, q: c == (not q), ['Cosima', 'Quillan'])\n\n# Quillan说：\"Peregrine是骑士当且仅当Quillan是骑士\"，转化为约束：Quillan == (Peregrine == Quillan)\np.addConstraint(lambda q, p: q == (p == q), ['Quillan', 'Peregrine'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})" ], "text": "{\"Peregrine\": \"knight\", \"Cosima\": \"knight\", \"Quillan\": \"knave\"}", "used_python_constraint": true, "duration_s": 2.787, "provider_receipts": [ { "turn": 1, "response_id": "0217853612152875e43bed6e99f957d955d5fe9d6168763227e73", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1129, "completion_tokens": 374, "total_tokens": 1503, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853612173585e43bed6e99f957d955d5fe9d6168763e5b3a5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1600, "completion_tokens": 92, "total_tokens": 1692, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p3-r040", "num": 3, "pred": { "Vesper": "knave", "Oberon": "knave", "Cillian": "knave" }, "gold": { "Vesper": "knave", "Oberon": "knave", "Cillian": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people3_num100.jsonl", "file_sha256": "087b47837520c8da31d78deac08781c3a62ad7961bae246d68f81843b3795ab0", "row": 40, "dataset_index": 40 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Vesper', [True, False])\np.addVariable('Oberon', [True, False])\np.addVariable('Cillian', [True, False])\n\n# Vesper说：Cillian是骑士且Oberon是骑士\n# 转换为双条件约束：Vesper == (Cillian and Oberon)\np.addConstraint(lambda v, c, o: v == (c and o), ['Vesper', 'Cillian', 'Oberon'])\n\n# Oberon说：Cillian不是无赖，即Cillian是骑士\n# 转换为双条件约束：Oberon == Cillian\np.addConstraint(lambda o, c: o == c, ['Oberon', 'Cillian'])\n\n# Cillian说：Oberon是无赖当且仅当Cillian是骑士\n# 即 (Oberon是无赖) <-> (Cillian是骑士)\n# 用逻辑表达式表示为：(not Oberon) == c\np.addConstraint(lambda c, o: (not o) == c, ['Cillian', 'Oberon'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n print({k: ('knight' if v else 'knave') for k, v in sol.items()})", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Vesper', [True, False])\np.addVariable('Oberon', [True, False])\np.addVariable('Cillian', [True, False])\n\n# Vesper说：Cillian是骑士且Oberon是骑士\np.addConstraint(lambda vesper, cillian, oberon: vesper == (cillian and oberon), ['Vesper', 'Cillian', 'Oberon'])\n\n# Oberon说：Cillian不是无赖，即Cillian是骑士\np.addConstraint(lambda oberon, cillian: oberon == cillian, ['Oberon', 'Cillian'])\n\n# Cillian说：Oberon是无赖当且仅当Cillian是骑士\np.addConstraint(lambda cillian, oberon: cillian == ((cillian and not oberon) or (not cillian and oberon)), ['Cillian', 'Oberon'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n print({k: ('knight' if v else 'knave') for k, v in sol.items()})", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Vesper', [True, False])\np.addVariable('Oberon', [True, False])\np.addVariable('Cillian', [True, False])\n\n# Vesper说：Cillian是骑士且Oberon是骑士\np.addConstraint(lambda vesper, cillian, oberon: vesper == (cillian and oberon), ['Vesper', 'Cillian', 'Oberon'])\n\n# Oberon说：Cillian不是无赖，即Cillian是骑士\np.addConstraint(lambda oberon, cillian: oberon == cillian, ['Oberon', 'Cillian'])\n\n# Cillian说：Oberon是无赖当且仅当Cillian是骑士\np.addConstraint(lambda cillian, oberon: cillian == ((cillian and not oberon) or (not cillian and oberon)), ['Cillian', 'Oberon'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 转换结果为要求的JSON格式\nresult = {} \nfor sol in solutions:\n result['Vesper'] = 'knight' if sol['Vesper'] else 'knave'\n result['Oberon'] = 'knight' if sol['Oberon'] else 'knave'\n result['Cillian'] = 'knight' if sol['Cillian'] else 'knave'\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Vesper', [True, False])\np.addVariable('Oberon', [True, False])\np.addVariable('Cillian', [True, False])\n\n# Vesper说：Cillian是骑士且Oberon是骑士\np.addConstraint(lambda vesper, cillian, oberon: vesper == (cillian and oberon), ['Vesper', 'Cillian', 'Oberon'])\n\n# Oberon说：Cillian不是无赖，即Cillian是骑士\np.addConstraint(lambda oberon, cillian: oberon == cillian, ['Oberon', 'Cillian'])\n\n# Cillian说：Oberon是无赖当且仅当Cillian是骑士\np.addConstraint(lambda cillian, oberon: cillian == ((cillian and not oberon) or (not cillian and oberon)), ['Cillian', 'Oberon'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Vesper'] = 'knight' if sol['Vesper'] else 'knave'\n final_result['Oberon'] = 'knight' if sol['Oberon'] else 'knave'\n final_result['Cillian'] = 'knight' if sol['Cillian'] else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Vesper', [True, False])\np.addVariable('Oberon', [True, False])\np.addVariable('Cillian', [True, False])\n\n# Vesper说：Cillian是骑士且Oberon是骑士\np.addConstraint(lambda vesper, cillian, oberon: vesper == (cillian and oberon), ['Vesper', 'Cillian', 'Oberon'])\n\n# Oberon说：Cillian不是无赖，即Cillian是骑士\np.addConstraint(lambda oberon, cillian: oberon == cillian, ['Oberon', 'Cillian'])\n\n# Cillian说：Oberon是无赖当且仅当Cillian是骑士\np.addConstraint(lambda cillian, oberon: cillian == ((cillian and not oberon) or (not cillian and oberon)), ['Cillian', 'Oberon'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 整理结果\nfinal_result = {} \nfor sol in solutions:\n final_result['Vesper'] = 'knight' if sol['Vesper'] else 'knave'\n final_result['Oberon'] = 'knight' if sol['Oberon'] else 'knave'\n final_result['Cillian'] = 'knight' if sol['Cillian'] else 'knave'\n\nprint(final_result)" ], "text": "{\"Vesper\": \"knave\", \"Oberon\": \"knave\", \"Cillian\": \"knave\"}", "used_python_constraint": true, "duration_s": 49.498, "provider_receipts": [ { "turn": 1, "response_id": "0217853612180895e43bed6e99f957d955d5fe9d6168763a2f2e8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1111, "completion_tokens": 343, "total_tokens": 1454, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853612199265e43bed6e99f957d955d5fe9d6168763dc2e47", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1541, "completion_tokens": 8612, "total_tokens": 10153, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853612594335e43bed6e99f957d955d5fe9d6168763d62093", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1894, "completion_tokens": 445, "total_tokens": 2339, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853612618375e43bed6e99f957d955d5fe9d61687638968ce", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2307, "completion_tokens": 467, "total_tokens": 2774, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853612642355e43bed6e99f957d955d5fe9d6168763dd447b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2720, "completion_tokens": 465, "total_tokens": 3185, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853612668235e43bed6e99f957d955d5fe9d6168763326119", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3133, "completion_tokens": 56, "total_tokens": 3189, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p4-r044", "num": 4, "pred": null, "gold": { "Cyprian": "knave", "Caius": "knave", "Zephyrine": "knight", "Zephyr": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people4_num100.jsonl", "file_sha256": "8e0edc42da3d5739a4e24f82725c6332e71189016391810b5e80d549c71d1004", "row": 44, "dataset_index": 44 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Cyprian', 'Caius', 'Zephyrine', 'Zephyr'], [True, False])\n\n# Cyprian 说'Zephyr是骑士且Zephyrine是无赖'\n# 所以 Cyprian == (Zephyr is True and Zephyrine is False)\np.addConstraint(lambda c,z,zp: c == (z and not zp), ['Cyprian', 'Zephyr', 'Zephyrine'])\n\n# Caius 说'Cyprian是骑士'\n# 所以 Caius == (Cyprian is True)\np.addConstraint(lambda ca,c: ca == c, ['Caius', 'Cyprian'])\n\n# Zephyrine 说'Zephyr是无赖或者Cyprian是无赖'\n# 所以 Zephyrine == (Zephyr is False or Cyprian is False)\np.addConstraint(lambda zp,z,c: zp == (not z or not c), ['Zephyrine', 'Zephyr', 'Cyprian'])\n\n# Zephyr 说'如果Zephyrine是无赖，那么Cyprian是无赖'\n# 逻辑表达式为 (zp is False) -> (c is False)，等价于 not zp or not c\n# 所以 Zephyr == (not zp or not c)\np.addConstraint(lambda z,zp,c: z == (not zp or not c), ['Zephyr', 'Zephyrine', 'Cyprian'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n print({k: 'knight' if v else 'knave' for k, v in sol.items()})", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Cyprian', 'Caius', 'Zephyrine', 'Zephyr'], [True, False])\n\n# Cyprian 说'Zephyr是骑士且Zephyrine是无赖'\n# 所以 Cyprian == (Zephyr is True and Zephyrine is False)\np.addConstraint(lambda c,z,zp: c == (z and not zp), ['Cyprian', 'Zephyr', 'Zephyrine'])\n\n# Caius 说'Cyprian是骑士'\n# 所以 Caius == (Cyprian is True)\np.addConstraint(lambda ca,c: ca == c, ['Caius', 'Cyprian'])\n\n# Zephyrine 说'Zephyr是无赖或者Cyprian是无赖'\n# 所以 Zephyrine == (Zephyr is False or Cyprian is False)\np.addConstraint(lambda zp,z,c: zp == (not z or not c), ['Zephyrine', 'Zephyr', 'Cyprian'])\n\n# Zephyr 说'如果Zephyrine是无赖，那么Cyprian是无赖'\n# 逻辑表达式为 (zp is False) -> (c is False)，等价于 not zp or not c\n# 所以 Zephyr == (not zp or not c)\np.addConstraint(lambda z,zp,c: z == (not zp or not c), ['Zephyr', 'Zephyrine', 'Cyprian'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Cyprian', 'Caius', 'Zephyrine', 'Zephyr'], [True, False])\n\n# Cyprian 说'Zephyr是骑士且Zephyrine是无赖'\n# 所以 Cyprian == (Zephyr is True and Zephyrine is False)\np.addConstraint(lambda c,z,zp: c == (z and not zp), ['Cyprian', 'Zephyr', 'Zephyrine'])\n\n# Caius 说'Cyprian是骑士'\n# 所以 Caius == (Cyprian is True)\np.addConstraint(lambda ca,c: ca == c, ['Caius', 'Cyprian'])\n\n# Zephyrine 说'Zephyr是无赖或者Cyprian是无赖'\n# 所以 Zephyrine == (Zephyr is False or Cyprian is False)\np.addConstraint(lambda zp,z,c: zp == (not z or not c), ['Zephyrine', 'Zephyr', 'Cyprian'])\n\n# Zephyr 说'如果Zephyrine是无赖，那么Cyprian是无赖'\n# 逻辑表达式为 (zp is False) -> (c is False)，等价于 not zp or not c\n# 所以 Zephyr == (not zp or not c)\np.addConstraint(lambda z,zp,c: z == (not zp or not c), ['Zephyr', 'Zephyrine', 'Cyprian'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfinal_solution = {} \nfor sol in solutions:\n final_solution = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nprint(final_solution)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Cyprian', 'Caius', 'Zephyrine', 'Zephyr'], [True, False])\n\n# Cyprian 说'Zephyr是骑士且Zephyrine是无赖'\n# 所以 Cyprian == (Zephyr is True and Zephyrine is False)\np.addConstraint(lambda c,z,zp: c == (z and not zp), ['Cyprian', 'Zephyr', 'Zephyrine'])\n\n# Caius 说'Cyprian是骑士'\n# 所以 Caius == (Cyprian is True)\np.addConstraint(lambda ca,c: ca == c, ['Caius', 'Cyprian'])\n\n# Zephyrine 说'Zephyr是无赖或者Cyprian是无赖'\n# 所以 Zephyrine == (Zephyr is False or Cyprian is False)\np.addConstraint(lambda zp,z,c: zp == (not z or not c), ['Zephyrine', 'Zephyr', 'Cyprian'])\n\n# Zephyr 说'如果Zephyrine是无赖，那么Cyprian是无赖'\n# 逻辑表达式为 (zp is False) -> (c is False)，等价于 not zp or not c\n# 所以 Zephyr == (not zp or not c)\np.addConstraint(lambda z,zp,c: z == (not zp or not c), ['Zephyr', 'Zephyrine', 'Cyprian'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Cyprian', 'Caius', 'Zephyrine', 'Zephyr'], [True, False])\n\n# Cyprian 说'Zephyr是骑士且Zephyrine是无赖'\n# 所以 Cyprian == (Zephyr is True and Zephyrine is False)\np.addConstraint(lambda c,z,zp: c == (z and not zp), ['Cyprian', 'Zephyr', 'Zephyrine'])\n\n# Caius 说'Cyprian是骑士'\n# 所以 Caius == (Cyprian is True)\np.addConstraint(lambda ca,c: ca == c, ['Caius', 'Cyprian'])\n\n# Zephyrine 说'Zephyr是无赖或者Cyprian是无赖'\n# 所以 Zephyrine == (Zephyr is False or Cyprian is False)\np.addConstraint(lambda zp,z,c: zp == (not z or not c), ['Zephyrine', 'Zephyr', 'Cyprian'])\n\n# Zephyr 说'如果Zephyrine是无赖，那么Cyprian是无赖'\n# 逻辑表达式为 (zp is False) -> (c is False)，等价于 not zp or not c\n# 所以 Zephyr == (not zp or not c)\np.addConstraint(lambda z,zp,c: z == (not zp or not c), ['Zephyr', 'Zephyrine', 'Cyprian'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Cyprian', 'Caius', 'Zephyrine', 'Zephyr'], [True, False])\n\n# Cyprian 说'Zephyr是骑士且Zephyrine是无赖'\n# 所以 Cyprian == (Zephyr is True and Zephyrine is False)\np.addConstraint(lambda c,z,zp: c == (z and not zp), ['Cyprian', 'Zephyr', 'Zephyrine'])\n\n# Caius 说'Cyprian是骑士'\n# 所以 Caius == (Cyprian is True)\np.addConstraint(lambda ca,c: ca == c, ['Caius', 'Cyprian'])\n\n# Zephyrine 说'Zephyr是无赖或者Cyprian是无赖'\n# 所以 Zephyrine == (Zephyr is False or Cyprian is False)\np.addConstraint(lambda zp,z,c: zp == (not z or not c), ['Zephyrine', 'Zephyr', 'Cyprian'])\n\n# Zephyr 说'如果Zephyrine是无赖，那么Cyprian是无赖'\n# 逻辑表达式为 (zp is False) -> (c is False)，等价于 not zp or not c\n# 所以 Zephyr == (not zp or not c)\np.addConstraint(lambda z,zp,c: z == (not zp or not c), ['Zephyr', 'Zephyrine', 'Cyprian'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfinal_answer = {} \nfor sol in solutions:\n final_answer = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nprint(final_answer)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Cyprian', 'Caius', 'Zephyrine', 'Zephyr'], [True, False])\n\n# Cyprian 说'Zephyr是骑士且Zephyrine是无赖'\n# 所以 Cyprian == (Zephyr is True and Zephyrine is False)\np.addConstraint(lambda c,z,zp: c == (z and not zp), ['Cyprian', 'Zephyr', 'Zephyrine'])\n\n# Caius 说'Cyprian是骑士'\n# 所以 Caius == (Cyprian is True)\np.addConstraint(lambda ca,c: ca == c, ['Caius', 'Cyprian'])\n\n# Zephyrine 说'Zephyr是无赖或者Cyprian是无赖'\n# 所以 Zephyrine == (Zephyr is False or Cyprian is False)\np.addConstraint(lambda zp,z,c: zp == (not z or not c), ['Zephyrine', 'Zephyr', 'Cyprian'])\n\n# Zephyr 说'如果Zephyrine是无赖，那么Cyprian是无赖'\n# 逻辑表达式为 (zp is False) -> (c is False)，等价于 not zp or not c\n# 所以 Zephyr == (not zp or not c)\np.addConstraint(lambda z,zp,c: z == (not zp or not c), ['Zephyr', 'Zephyrine', 'Cyprian'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 26.604, "provider_receipts": [ { "turn": 1, "response_id": "0217853612676015e43bed6e99f957d955d5fe9d6168763767af0", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1144, "completion_tokens": 425, "total_tokens": 1569, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853612700245e43bed6e99f957d955d5fe9d6168763af7903", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1674, "completion_tokens": 1028, "total_tokens": 2702, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853612748395e43bed6e99f957d955d5fe9d616876349f84f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2201, "completion_tokens": 1239, "total_tokens": 3440, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853612806485e43bed6e99f957d955d5fe9d6168763456ef9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2701, "completion_tokens": 532, "total_tokens": 3233, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853612833945e43bed6e99f957d955d5fe9d616876385dbbb", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3207, "completion_tokens": 549, "total_tokens": 3756, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853612860285e43bed6e99f957d955d5fe9d61687636fe19d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3710, "completion_tokens": 543, "total_tokens": 4253, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853612887215e43bed6e99f957d955d5fe9d6168763b9d135", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4210, "completion_tokens": 546, "total_tokens": 4756, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853612914185e43bed6e99f957d955d5fe9d61687635c76cf", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4716, "completion_tokens": 544, "total_tokens": 5260, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "uncommon_name-p4-r057", "num": 4, "pred": null, "gold": { "Eulalia": "knight", "Xiomara": "knight", "Amaryllis": "knave", "Calliope": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people4_num100.jsonl", "file_sha256": "8e0edc42da3d5739a4e24f82725c6332e71189016391810b5e80d549c71d1004", "row": 57, "dataset_index": 57 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Eulalia', 'Xiomara', 'Amaryllis', 'Calliope'], [True, False])\n\n# Eulalia说：Amaryllis是无赖或者Calliope是无赖\n# 逻辑表达式：Eulalia的真假等于(Amaryllis为假 或 Calliope为假)\np.addConstraint(lambda e, a, c: e == ((not a) or (not c)), ['Eulalia', 'Amaryllis', 'Calliope'])\n\n# Xiomara说：如果Calliope是骑士，那么Eulalia是无赖\n# 逻辑表达式：Xiomara的真假等于(Calliope为假 或 Eulalia为假)\np.addConstraint(lambda x, c, e: x == ((not c) or (not e)), ['Xiomara', 'Calliope', 'Eulalia'])\n\n# Amaryllis说：Amaryllis是骑士且Xiomara是无赖\n# 逻辑表达式：Amaryllis的真假等于(Amaryllis为真 且 Xiomara为假)\np.addConstraint(lambda a, x: a == (a and (not x)), ['Amaryllis', 'Xiomara'])\n\n# Calliope说：Calliope是骑士且Amaryllis是骑士\n# 逻辑表达式：Calliope的真假等于(Calliope为真 且 Amaryllis为真)\np.addConstraint(lambda c, a: c == (c and a), ['Calliope', 'Amaryllis'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Eulalia', 'Xiomara', 'Amaryllis', 'Calliope'], [True, False])\n\n# Eulalia说：Amaryllis是无赖或者Calliope是无赖\n# 逻辑表达式：Eulalia的真假等于(Amaryllis为假 或 Calliope为假)\np.addConstraint(lambda e, a, c: e == ((not a) or (not c)), ['Eulalia', 'Amaryllis', 'Calliope'])\n\n# Xiomara说：如果Calliope是骑士，那么Eulalia是无赖\n# 逻辑表达式：Xiomara的真假等于(Calliope为假 或 Eulalia为假)\np.addConstraint(lambda x, c, e: x == ((not c) or (not e)), ['Xiomara', 'Calliope', 'Eulalia'])\n\n# Amaryllis说：Amaryllis是骑士且Xiomara是无赖\n# 逻辑表达式：Amaryllis的真假等于(Amaryllis为真 且 Xiomara为假)\np.addConstraint(lambda a, x: a == (a and (not x)), ['Amaryllis', 'Xiomara'])\n\n# Calliope说：Calliope是骑士且Amaryllis是骑士\n# 逻辑表达式：Calliope的真假等于(Calliope为真 且 Amaryllis为真)\np.addConstraint(lambda c, a: c == (c and a), ['Calliope', 'Amaryllis'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Eulalia', 'Xiomara', 'Amaryllis', 'Calliope'], [True, False])\n\n# Eulalia说：Amaryllis是无赖或者Calliope是无赖\n# 逻辑表达式：Eulalia的真假等于(Amaryllis为假 或 Calliope为假)\np.addConstraint(lambda e, a, c: e == ((not a) or (not c)), ['Eulalia', 'Amaryllis', 'Calliope'])\n\n# Xiomara说：如果Calliope是骑士，那么Eulalia是无赖\n# 逻辑表达式：Xiomara的真假等于(Calliope为假 或 Eulalia为假)\np.addConstraint(lambda x, c, e: x == ((not c) or (not e)), ['Xiomara', 'Calliope', 'Eulalia'])\n\n# Amaryllis说：Amaryllis是骑士且Xiomara是无赖\n# 逻辑表达式：Amaryllis的真假等于(Amaryllis为真 且 Xiomara为假)\np.addConstraint(lambda a, x: a == (a and (not x)), ['Amaryllis', 'Xiomara'])\n\n# Calliope说：Calliope是骑士且Amaryllis是骑士\n# 逻辑表达式：Calliope的真假等于(Calliope为真 且 Amaryllis为真)\np.addConstraint(lambda c, a: c == (c and a), ['Calliope', 'Amaryllis'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Eulalia', 'Xiomara', 'Amaryllis', 'Calliope'], [True, False])\n\n# Eulalia说：Amaryllis是无赖或者Calliope是无赖\n# 逻辑表达式：Eulalia的真假等于(Amaryllis为假 或 Calliope为假)\np.addConstraint(lambda e, a, c: e == ((not a) or (not c)), ['Eulalia', 'Amaryllis', 'Calliope'])\n\n# Xiomara说：如果Calliope是骑士，那么Eulalia是无赖\n# 逻辑表达式：Xiomara的真假等于(Calliope为假 或 Eulalia为假)\np.addConstraint(lambda x, c, e: x == ((not c) or (not e)), ['Xiomara', 'Calliope', 'Eulalia'])\n\n# Amaryllis说：Amaryllis是骑士且Xiomara是无赖\n# 逻辑表达式：Amaryllis的真假等于(Amaryllis为真 且 Xiomara为假)\np.addConstraint(lambda a, x: a == (a and (not x)), ['Amaryllis', 'Xiomara'])\n\n# Calliope说：Calliope是骑士且Amaryllis是骑士\n# 逻辑表达式：Calliope的真假等于(Calliope为真 且 Amaryllis为真)\np.addConstraint(lambda c, a: c == (c and a), ['Calliope', 'Amaryllis'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Eulalia', 'Xiomara', 'Amaryllis', 'Calliope'], [True, False])\n\n# Eulalia说：Amaryllis是无赖或者Calliope是无赖\n# 逻辑表达式：Eulalia的真假等于(Amaryllis为假 或 Calliope为假)\np.addConstraint(lambda e, a, c: e == ((not a) or (not c)), ['Eulalia', 'Amaryllis', 'Calliope'])\n\n# Xiomara说：如果Calliope是骑士，那么Eulalia是无赖\n# 逻辑表达式：Xiomara的真假等于(Calliope为假 或 Eulalia为假)\np.addConstraint(lambda x, c, e: x == ((not c) or (not e)), ['Xiomara', 'Calliope', 'Eulalia'])\n\n# Amaryllis说：Amaryllis是骑士且Xiomara是无赖\n# 逻辑表达式：Amaryllis的真假等于(Amaryllis为真 且 Xiomara为假)\np.addConstraint(lambda a, x: a == (a and (not x)), ['Amaryllis', 'Xiomara'])\n\n# Calliope说：Calliope是骑士且Amaryllis是骑士\n# 逻辑表达式：Calliope的真假等于(Calliope为真 且 Amaryllis为真)\np.addConstraint(lambda c, a: c == (c and a), ['Calliope', 'Amaryllis'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Eulalia', 'Xiomara', 'Amaryllis', 'Calliope'], [True, False])\n\n# Eulalia说：Amaryllis是无赖或者Calliope是无赖\n# 逻辑表达式：Eulalia的真假等于(Amaryllis为假 或 Calliope为假)\np.addConstraint(lambda e, a, c: e == ((not a) or (not c)), ['Eulalia', 'Amaryllis', 'Calliope'])\n\n# Xiomara说：如果Calliope是骑士，那么Eulalia是无赖\n# 逻辑表达式：Xiomara的真假等于(Calliope为假 或 Eulalia为假)\np.addConstraint(lambda x, c, e: x == ((not c) or (not e)), ['Xiomara', 'Calliope', 'Eulalia'])\n\n# Amaryllis说：Amaryllis是骑士且Xiomara是无赖\n# 逻辑表达式：Amaryllis的真假等于(Amaryllis为真 且 Xiomara为假)\np.addConstraint(lambda a, x: a == (a and (not x)), ['Amaryllis', 'Xiomara'])\n\n# Calliope说：Calliope是骑士且Amaryllis是骑士\n# 逻辑表达式：Calliope的真假等于(Calliope为真 且 Amaryllis为真)\np.addConstraint(lambda c, a: c == (c and a), ['Calliope', 'Amaryllis'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 提取结果\nresult = {k: 'knight' if v else 'knave' for sol in solutions for k, v in sol.items()}\nprint(result)", "from constraint import Problem\n\np = Problem()\n\n# 定义变量，True表示骑士，False表示无赖\np.addVariables(['Eulalia', 'Xiomara', 'Amaryllis', 'Calliope'], [True, False])\n\n# Eulalia说：Amaryllis是无赖或者Calliope是无赖\n# 逻辑表达式：Eulalia的真假等于(Amaryllis为假 或 Calliope为假)\np.addConstraint(lambda e, a, c: e == ((not a) or (not c)), ['Eulalia', 'Amaryllis', 'Calliope'])\n\n# Xiomara说：如果Calliope是骑士，那么Eulalia是无赖\n# 逻辑表达式：Xiomara的真假等于(Calliope为假 或 Eulalia为假)\np.addConstraint(lambda x, c, e: x == ((not c) or (not e)), ['Xiomara', 'Calliope', 'Eulalia'])\n\n# Amaryllis说：Amaryllis是骑士且Xiomara是无赖\n# 逻辑表达式：Amaryllis的真假等于(Amaryllis为真 且 Xiomara为假)\np.addConstraint(lambda a, x: a == (a and (not x)), ['Amaryllis', 'Xiomara'])\n\n# Calliope说：Calliope是骑士且Amaryllis是骑士\n# 逻辑表达式：Calliope的真假等于(Calliope为真 且 Amaryllis为真)\np.addConstraint(lambda c, a: c == (c and a), ['Calliope', 'Amaryllis'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 提取结果\nresult = {k: 'knight' if v else 'knave' for sol in solutions for k, v in sol.items()}\nprint(result)" ], "text": "", "used_python_constraint": true, "duration_s": 23.222, "provider_receipts": [ { "turn": 1, "response_id": "0217853612942175e43bed6e99f957d955d5fe9d616876385cb19", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1159, "completion_tokens": 412, "total_tokens": 1571, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853612965415e43bed6e99f957d955d5fe9d616876392202b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1680, "completion_tokens": 572, "total_tokens": 2252, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853612995035e43bed6e99f957d955d5fe9d616876371444e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2200, "completion_tokens": 579, "total_tokens": 2779, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853613026555e43bed6e99f957d955d5fe9d6168763259b06", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2720, "completion_tokens": 558, "total_tokens": 3278, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853613055965e43bed6e99f957d955d5fe9d61687639eaced", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3240, "completion_tokens": 566, "total_tokens": 3806, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853613085085e43bed6e99f957d955d5fe9d616876380f24e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3760, "completion_tokens": 558, "total_tokens": 4318, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853613113875e43bed6e99f957d955d5fe9d6168763abfa37", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4280, "completion_tokens": 565, "total_tokens": 4845, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853613144085e43bed6e99f957d955d5fe9d61687637f8706", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4796, "completion_tokens": 553, "total_tokens": 5349, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "uncommon_name-p5-r005", "num": 5, "pred": { "Saffron": "knave", "Zora": "knight", "Cosima": "knight", "Xiomara": "knave", "Perdita": "knave" }, "gold": { "Saffron": "knave", "Zora": "knight", "Cosima": "knight", "Xiomara": "knave", "Perdita": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people5_num100.jsonl", "file_sha256": "c1e7ade7a1791ab17a1d951f7548ce8c54767190f0402e4e6785889810694f3f", "row": 5, "dataset_index": 5 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\nvariables = ['Saffron', 'Zora', 'Cosima', 'Xiomara', 'Perdita']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Saffron说：如果Xiomara是无赖，那么Perdita是骑士\n# 逻辑表达式为：¬Xiomara → Perdita，等价于 Xiomara ∨ Perdita\np.addConstraint(lambda saffron, xiomara, perdita: saffron == (xiomara or perdita), ['Saffron', 'Xiomara', 'Perdita'])\n\n# Zora说：Xiomara不是骑士，即¬Xiomara\np.addConstraint(lambda zora, xiomara: zora == (not xiomara), ['Zora', 'Xiomara'])\n\n# Cosima说：Perdita是骑士或者Cosima是骑士，即Perdita ∨ Cosima\np.addConstraint(lambda cosima, perdita: cosima == (perdita or cosima), ['Cosima', 'Perdita'])\n\n# Xiomara说：Cosima是无赖，即¬Cosima\np.addConstraint(lambda xiomara, cosima: xiomara == (not cosima), ['Xiomara', 'Cosima'])\n\n# Perdita说：Xiomara不是无赖，即Xiomara\np.addConstraint(lambda perdita, xiomara: perdita == xiomara, ['Perdita', 'Xiomara'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)" ], "text": "{\"Saffron\": \"knave\", \"Zora\": \"knight\", \"Cosima\": \"knight\", \"Xiomara\": \"knave\", \"Perdita\": \"knave\"}", "used_python_constraint": true, "duration_s": 3.253, "provider_receipts": [ { "turn": 1, "response_id": "0217853613174505e43bed6e99f957d955d5fe9d6168763a81985", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1157, "completion_tokens": 440, "total_tokens": 1597, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853613200235e43bed6e99f957d955d5fe9d616876368ca64", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1713, "completion_tokens": 90, "total_tokens": 1803, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p5-r047", "num": 5, "pred": null, "gold": { "Melisande": "knave", "Isolde": "knave", "Leander": "knave", "Percival": "knave", "Quillan": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people5_num100.jsonl", "file_sha256": "c1e7ade7a1791ab17a1d951f7548ce8c54767190f0402e4e6785889810694f3f", "row": 47, "dataset_index": 47 }, "codes": [ "", "from constraint import Problem\n\nvariables = ['Melisande', 'Isolde', 'Leander', 'Percival', 'Quillan']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Melisande: Percival is knave iff Quillan is knave\nproblem.addConstraint(lambda m, p, q: m == (p == q), ['Melisande', 'Percival', 'Quillan'])\n\n# Isolde: Percival is knight iff Percival is knave\nproblem.addConstraint(lambda i, p: i == (p == not p), ['Isolde', 'Percival'])\n\n# Leander: Percival is knave and Quillan is knave\nproblem.addConstraint(lambda l, p, q: l == (not p and not q), ['Leander', 'Percival', 'Quillan'])\n\n# Percival: Isolde is knight and Quillan is knave\nproblem.addConstraint(lambda p, i, q: p == (i and not q), ['Percival', 'Isolde', 'Quillan'])\n\n# Quillan: Melisande is knight iff Leander is knight\nproblem.addConstraint(lambda q, m, l: q == (m == l), ['Quillan', 'Melisande', 'Leander'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\nvariables = ['Melisande', 'Isolde', 'Leander', 'Percival', 'Quillan']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Melisande 说：Percival是knave当且仅当Quillan是knave\n# 即 Melisande == (Percival == Quillan)\nproblem.addConstraint(lambda m, p, q: m == (p == q), ['Melisande', 'Percival', 'Quillan'])\n\n# Isolde 说：Percival是knight当且仅当Percival是knave\n# 因为Percival是knight当且仅当Percival是knave是恒假的，所以Isolde的话为假，即Isolde是无赖\nproblem.addConstraint(lambda i, p: i == (p != p), ['Isolde', 'Percival'])\n\n# Leander 说：Percival是knave且Quillan是knave\n# 即 Leander == (not Percival and not Quillan)\nproblem.addConstraint(lambda l, p, q: l == (not p and not q), ['Leander', 'Percival', 'Quillan'])\n\n# Percival 说：Isolde是knight且Quillan是knave\n# 即 Percival == (Isolde and not Quillan)\nproblem.addConstraint(lambda p, i, q: p == (i and not q), ['Percival', 'Isolde', 'Quillan'])\n\n# Quillan 说：Melisande是knight当且仅当Leander是knight\n# 即 Quillan == (Melisande == Leander)\nproblem.addConstraint(lambda q, m, l: q == (m == l), ['Quillan', 'Melisande', 'Leander'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\nvariables = ['Melisande', 'Isolde', 'Leander', 'Percival', 'Quillan']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Melisande: Percival is knave iff Quillan is knave\nproblem.addConstraint(lambda m, p, q: m == (p == q), ['Melisande', 'Percival', 'Quillan'])\n\n# Isolde: Percival is knight iff Percival is knave\nproblem.addConstraint(lambda i, p: i == (p != p), ['Isolde', 'Percival'])\n\n# Leander: Percival is knave and Quillan is knave\nproblem.addConstraint(lambda l, p, q: l == (not p and not q), ['Leander', 'Percival', 'Quillan'])\n\n# Percival: Isolde is knight and Quillan is knave\nproblem.addConstraint(lambda p, i, q: p == (i and not q), ['Percival', 'Isolde', 'Quillan'])\n\n# Quillan: Melisande is knight iff Leander is knight\nproblem.addConstraint(lambda q, m, l: q == (m == l), ['Quillan', 'Melisande', 'Leander'])\n\nsolutions = problem.getSolutions()\n\nfinal_result = {};\nfor sol in solutions:\n final_result['Melisande'] = 'knight' if sol['Melisande'] else 'knave'\n final_result['Isolde'] = 'knight' if sol['Isolde'] else 'knave'\n final_result['Leander'] = 'knight' if sol['Leander'] else 'knave'\n final_result['Percival'] = 'knight' if sol['Percival'] else 'knave'\n final_result['Quillan'] = 'knight' if sol['Quillan'] else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\nvariables = ['Melisande', 'Isolde', 'Leander', 'Percival', 'Quillan']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Melisande: Percival is knave iff Quillan is knave\nproblem.addConstraint(lambda m, p, q: m == (p == q), ['Melisande', 'Percival', 'Quillan'])\n\n# Isolde: Percival is knight iff Percival is knave\nproblem.addConstraint(lambda i, p: i == (p != p), ['Isolde', 'Percival'])\n\n# Leander: Percival is knave and Quillan is knave\nproblem.addConstraint(lambda l, p, q: l == (not p and not q), ['Leander', 'Percival', 'Quillan'])\n\n# Percival: Isolde is knight and Quillan is knave\nproblem.addConstraint(lambda p, i, q: p == (i and not q), ['Percival', 'Isolde', 'Quillan'])\n\n# Quillan: Melisande is knight iff Leander is knight\nproblem.addConstraint(lambda q, m, l: q == (m == l), ['Quillan', 'Melisande', 'Leander'])\n\nsolutions = problem.getSolutions()\n\nfinal_result = {};\nfor sol in solutions:\n final_result['Melisande'] = 'knight' if sol['Melisande'] else 'knave'\n final_result['Isolde'] = 'knight' if sol['Isolde'] else 'knave'\n final_result['Leander'] = 'knight' if sol['Leander'] else 'knave'\n final_result['Percival'] = 'knight' if sol['Percival'] else 'knave'\n final_result['Quillan'] = 'knight' if sol['Quillan'] else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\nvariables = ['Melisande', 'Isolde', 'Leander', 'Percival', 'Quillan']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Melisande: Percival is knave iff Quillan is knave\nproblem.addConstraint(lambda m, p, q: m == (p == q), ['Melisande', 'Percival', 'Quillan'])\n\n# Isolde: Percival is knight iff Percival is knave\nproblem.addConstraint(lambda i, p: i == (p != p), ['Isolde', 'Percival'])\n\n# Leander: Percival is knave and Quillan is knave\nproblem.addConstraint(lambda l, p, q: l == (not p and not q), ['Leander', 'Percival', 'Quillan'])\n\n# Percival: Isolde is knight and Quillan is knave\nproblem.addConstraint(lambda p, i, q: p == (i and not q), ['Percival', 'Isolde', 'Quillan'])\n\n# Quillan: Melisande is knight iff Leander is knight\nproblem.addConstraint(lambda q, m, l: q == (m == l), ['Quillan', 'Melisande', 'Leander'])\n\nsolutions = problem.getSolutions()\n\nfinal_result = {};\nfor sol in solutions:\n final_result['Melisande'] = 'knight' if sol['Melisande'] else 'knave'\n final_result['Isolde'] = 'knight' if sol['Isolde'] else 'knave'\n final_result['Leander'] = 'knight' if sol['Leander'] else 'knave'\n final_result['Percival'] = 'knight' if sol['Percival'] else 'knave'\n final_result['Quillan'] = 'knight' if sol['Quillan'] else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\nvariables = ['Melisande', 'Isolde', 'Leander', 'Percival', 'Quillan']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Melisande: Percival is knave iff Quillan is knave\nproblem.addConstraint(lambda m, p, q: m == (p == q), ['Melisande', 'Percival', 'Quillan'])\n\n# Isolde: Percival is knight iff Percival is knave\nproblem.addConstraint(lambda i, p: i == (p != p), ['Isolde', 'Percival'])\n\n# Leander: Percival is knave and Quillan is knave\nproblem.addConstraint(lambda l, p, q: l == (not p and not q), ['Leander', 'Percival', 'Quillan'])\n\n# Percival: Isolde is knight and Quillan is knave\nproblem.addConstraint(lambda p, i, q: p == (i and not q), ['Percival', 'Isolde', 'Quillan'])\n\n# Quillan: Melisande is knight iff Leander is knight\nproblem.addConstraint(lambda q, m, l: q == (m == l), ['Quillan', 'Melisande', 'Leander'])\n\nsolutions = problem.getSolutions()\n\nfinal_result = {};\nfor sol in solutions:\n final_result['Melisande'] = 'knight' if sol['Melisande'] else 'knave'\n final_result['Isolde'] = 'knight' if sol['Isolde'] else 'knave'\n final_result['Leander'] = 'knight' if sol['Leander'] else 'knave'\n final_result['Percival'] = 'knight' if sol['Percival'] else 'knave'\n final_result['Quillan'] = 'knight' if sol['Quillan'] else 'knave'\n\nprint(final_result)", "from constraint import Problem\n\nvariables = ['Melisande', 'Isolde', 'Leander', 'Percival', 'Quillan']\nproblem = Problem()\nfor var in variables:\n problem.addVariable(var, [True, False])\n\n# Melisande: Percival is knave iff Quillan is knave\nproblem.addConstraint(lambda m, p, q: m == (p == q), ['Melisande', 'Percival', 'Quillan'])\n\n# Isolde: Percival is knight iff Percival is knave\nproblem.addConstraint(lambda i, p: i == (p != p), ['Isolde', 'Percival'])\n\n# Leander: Percival is knave and Quillan is knave\nproblem.addConstraint(lambda l, p, q: l == (not p and not q), ['Leander', 'Percival', 'Quillan'])\n\n# Percival: Isolde is knight and Quillan is knave\nproblem.addConstraint(lambda p, i, q: p == (i and not q), ['Percival', 'Isolde', 'Quillan'])\n\n# Quillan: Melisande is knight iff Leander is knight\nproblem.addConstraint(lambda q, m, l: q == (m == l), ['Quillan', 'Melisande', 'Leander'])\n\nsolutions = problem.getSolutions()\n\nfinal_result = {};\nfor sol in solutions:\n final_result['Melisande'] = 'knight' if sol['Melisande'] else 'knave'\n final_result['Isolde'] = 'knight' if sol['Isolde'] else 'knave'\n final_result['Leander'] = 'knight' if sol['Leander'] else 'knave'\n final_result['Percival'] = 'knight' if sol['Percival'] else 'knave'\n final_result['Quillan'] = 'knight' if sol['Quillan'] else 'knave'\n\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 37.44, "provider_receipts": [ { "turn": 1, "response_id": "0217853613207135e43bed6e99f957d955d5fe9d6168763b0b88d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1174, "completion_tokens": 531, "total_tokens": 1705, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853613235615e43bed6e99f957d955d5fe9d6168763e089b6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1820, "completion_tokens": 2318, "total_tokens": 4138, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853613344505e43bed6e99f957d955d5fe9d6168763cd47fc", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2317, "completion_tokens": 623, "total_tokens": 2940, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853613375275e43bed6e99f957d955d5fe9d6168763889f98", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2901, "completion_tokens": 1171, "total_tokens": 4072, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853613425825e43bed6e99f957d955d5fe9d6168763533952", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3459, "completion_tokens": 624, "total_tokens": 4083, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853613453295e43bed6e99f957d955d5fe9d61687631c8f0e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4017, "completion_tokens": 1837, "total_tokens": 5854, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853613526135e43bed6e99f957d955d5fe9d616876313aae6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4575, "completion_tokens": 607, "total_tokens": 5182, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853613553635e43bed6e99f957d955d5fe9d6168763975036", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5133, "completion_tokens": 607, "total_tokens": 5740, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "uncommon_name-p6-r008", "num": 6, "pred": { "Oberon": "knave", "Vesper": "knight", "Cillian": "knave", "Xanthe": "knave", "Florian": "knave", "Cyprian": "knave" }, "gold": { "Oberon": "knave", "Vesper": "knave", "Cillian": "knight", "Xanthe": "knave", "Florian": "knave", "Cyprian": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people6_num100.jsonl", "file_sha256": "4046b49fe876c7f4eab6eddc35ff0a9f01ad487faf59e9edb5605a39b3e56530", "row": 8, "dataset_index": 8 }, "codes": [ "from constraint import Problem\n\np = Problem()\n\n# 定义居民变量，True表示骑士，False表示无赖\np.addVariables(['Oberon', 'Vesper', 'Cillian', 'Xanthe', 'Florian', 'Cyprian'], [True, False])\n\n# Oberon 说: \"Xanthe 不是无赖\"，即 Xanthe 是骑士，所以 Oberon == (Xanthe 是骑士)\np.addConstraint(lambda oberon, xanthe: oberon == xanthe, ['Oberon', 'Xanthe'])\n\n# Vesper 说: \"Florian 是无赖且 Cillian 是无赖\"，即 Florian 是无赖且 Cillian 是无赖，所以 Vesper == (not Florian) and (not Cillian)\np.addConstraint(lambda vesper, florian, cillian: vesper == (not florian) and (not cillian), ['Vesper', 'Florian', 'Cillian'])\n\n# Cillian 说: \"Xanthe 是无赖或 Cyprian 是无赖\"，即 (not Xanthe) or (not Cyprian)，所以 Cillian == (not Xanthe) or (not Cyprian)\np.addConstraint(lambda cillian, xanthe, cyprian: cillian == (not xanthe) or (not cyprian), ['Cillian', 'Xanthe', 'Cyprian'])\n\n# Xanthe 说: \"Oberon 是无赖且 Oberon 是骑士\"，这是一个矛盾，因为 Oberon 不能既是骑士又是无赖，所以 Xanthe 的话为假，即 Xanthe == False\n# 同时，根据 Oberon 的约束，Oberon == Xanthe，所以如果 Xanthe 是假，那么 Oberon 也是假\np.addConstraint(lambda xanthe: xanthe == False, ['Xanthe'])\n\n# Florian 说: \"Xanthe 是无赖且 Xanthe 是骑士\"，同样矛盾，所以 Florian 的话为假，即 Florian == False\np.addConstraint(lambda florian: florian == False, ['Florian'])\n\n# Cyprian 说: \"Florian 是无赖当且仅当 Oberon 是骑士\"，即 (Florian 是无赖) <-> (Oberon 是骑士)，所以 Cyprian == (not florian) == oberon\np.addConstraint(lambda cyprian, florian, oberon: cyprian == (not florian) == oberon, ['Cyprian', 'Florian', 'Oberon'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)\n\nimport json\nfinal_result = {k: 'knight' if v else 'knave' for k, v in solutions[0].items()}\nprint(json.dumps(final_result))", "from constraint import Problem\n\np = Problem()\n\n# 定义居民变量，True表示骑士，False表示无赖\np.addVariables(['Oberon', 'Vesper', 'Cillian', 'Xanthe', 'Florian', 'Cyprian'], [True, False])\n\n# Oberon说\"Xanthe不是无赖\"，即Oberon的话为真当且仅当Xanthe是骑士，所以Oberon == Xanthe\np.addConstraint(lambda oberon, xanthe: oberon == xanthe, ['Oberon', 'Xanthe'])\n\n# Vesper说\"Florian是无赖且Cillian是无赖\"，即Vesper的话为真当且仅当Florian是无赖且Cillian是无赖，所以Vesper == (not florian) and (not cillian)\np.addConstraint(lambda vesper, florian, cillian: vesper == (not florian) and (not cillian), ['Vesper', 'Florian', 'Cillian'])\n\n# Cillian说\"Xanthe是无赖或Cyprian是无赖\"，即Cillian的话为真当且仅当Xanthe是无赖或Cyprian是无赖，所以Cillian == (not xanthe) or (not cyprian)\np.addConstraint(lambda cillian, xanthe, cyprian: cillian == (not xanthe) or (not cyprian), ['Cillian', 'Xanthe', 'Cyprian'])\n\n# Xanthe说\"Oberon是无赖且Oberon是骑士\"，这是矛盾的，所以Xanthe的话为假，即Xanthe == False\np.addConstraint(lambda xanthe: xanthe == False, ['Xanthe'])\n\n# 由Xanthe为假，根据Oberon的约束，Oberon == Xanthe，所以Oberon == False\n\n# Florian说\"Xanthe是无赖且Xanthe是骑士\"，这是矛盾的，所以Florian的话为假，即Florian == False\np.addConstraint(lambda florian: florian == False, ['Florian'])\n\n# Cyprian说\"Florian是无赖当且仅当Oberon是骑士\"，即Cyprian的话为真当且仅当(Florian是无赖)等价于(Oberon是骑士)，所以Cyprian == ((not florian) == oberon)\np.addConstraint(lambda cyprian, florian, oberon: cyprian == ((not florian) == oberon), ['Cyprian', 'Florian', 'Oberon'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nresult = {} \nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nimport json\nprint(json.dumps(result))", "# 之前的代码已经正确求解，直接根据结果构造JSON\nfinal_result = {\"Oberon\": \"knave\", \"Vesper\": \"knight\", \"Cillian\": \"knave\", \"Xanthe\": \"knave\", \"Florian\": \"knave\", \"Cyprian\": \"knave\"}\nimport json\nprint(json.dumps(final_result))" ], "text": "{\"Oberon\": \"knave\", \"Vesper\": \"knight\", \"Cillian\": \"knave\", \"Xanthe\": \"knave\", \"Florian\": \"knave\", \"Cyprian\": \"knave\"}", "used_python_constraint": true, "duration_s": 18.666, "provider_receipts": [ { "turn": 1, "response_id": "0217853613581695e43bed6e99f957d955d5fe9d6168763812e68", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1185, "completion_tokens": 702, "total_tokens": 1887, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853613620385e43bed6e99f957d955d5fe9d6168763cd9a39", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2070, "completion_tokens": 2925, "total_tokens": 4995, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853613749675e43bed6e99f957d955d5fe9d6168763723d0b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2828, "completion_tokens": 146, "total_tokens": 2974, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853613761305e43bed6e99f957d955d5fe9d61687635f841a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3005, "completion_tokens": 90, "total_tokens": 3095, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p6-r056", "num": 6, "pred": { "Zora": "knight", "Leocadio": "knight", "Xiomara": "knave", "Theron": "knight", "Lysander": "knight", "Ottoline": "knight" }, "gold": { "Zora": "knight", "Leocadio": "knight", "Xiomara": "knave", "Theron": "knight", "Lysander": "knight", "Ottoline": "knight" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people6_num100.jsonl", "file_sha256": "4046b49fe876c7f4eab6eddc35ff0a9f01ad487faf59e9edb5605a39b3e56530", "row": 56, "dataset_index": 56 }, "codes": [ "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Zora', 'Leocadio', 'Xiomara', 'Theron', 'Lysander', 'Ottoline']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Zora 说：Lysander是骑士当且仅当Ottoline是骑士\nproblem.addConstraint(lambda lysander, ottoline: Zora == (lysander == ottoline), ['Zora', 'Lysander', 'Ottoline'])\n\n# Leocadio 说：Theron是骑士\nproblem.addConstraint(lambda theron: Leocadio == theron, ['Theron', 'Leocadio'])\n\n# Xiomara 说：如果Lysander是骑士，那么Zora是无赖\nproblem.addConstraint(lambda lysander, zora: Xiomara == (not lysander or not zora), ['Xiomara', 'Lysander', 'Zora'])\n\n# Theron 说：Zora是骑士或者Lysander是无赖\nproblem.addConstraint(lambda zora, lysander: Theron == (zora or not lysander), ['Theron', 'Zora', 'Lysander'])\n\n# Lysander 说：Theron是骑士\nproblem.addConstraint(lambda theron: Lysander == theron, ['Theron', 'Lysander'])\n\n# Ottoline 说：Lysander不是无赖（即Lysander是骑士）\nproblem.addConstraint(lambda lysander: Ottoline == lysander, ['Ottoline', 'Lysander'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Zora', 'Leocadio', 'Xiomara', 'Theron', 'Lysander', 'Ottoline']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Zora 说：Lysander是骑士当且仅当Ottoline是骑士\nproblem.addConstraint(lambda zora, lysander, ottoline: zora == (lysander == ottoline), ['Zora', 'Lysander', 'Ottoline'])\n\n# Leocadio 说：Theron是骑士\nproblem.addConstraint(lambda leocadio, theron: leocadio == theron, ['Leocadio', 'Theron'])\n\n# Xiomara 说：如果Lysander是骑士，那么Zora是无赖\nproblem.addConstraint(lambda xiomara, lysander, zora: xiomara == (not lysander or not zora), ['Xiomara', 'Lysander', 'Zora'])\n\n# Theron 说：Zora是骑士或者Lysander是无赖\nproblem.addConstraint(lambda theron, zora, lysander: theron == (zora or not lysander), ['Theron', 'Zora', 'Lysander'])\n\n# Lysander 说：Theron是骑士\nproblem.addConstraint(lambda lysander, theron: lysander == theron, ['Lysander', 'Theron'])\n\n# Ottoline 说：Lysander不是无赖（即Lysander是骑士）\nproblem.addConstraint(lambda ottoline, lysander: ottoline == lysander, ['Ottoline', 'Lysander'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)" ], "text": "{\"Zora\": \"knight\", \"Leocadio\": \"knight\", \"Xiomara\": \"knave\", \"Theron\": \"knight\", \"Lysander\": \"knight\", \"Ottoline\": \"knight\"}", "used_python_constraint": true, "duration_s": 7.66, "provider_receipts": [ { "turn": 1, "response_id": "0217853613768485e43bed6e99f957d955d5fe9d6168763b4cca6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1166, "completion_tokens": 445, "total_tokens": 1611, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853613792465e43bed6e99f957d955d5fe9d6168763276b81", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2143, "completion_tokens": 1043, "total_tokens": 3186, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853613838495e43bed6e99f957d955d5fe9d6168763c651bb", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2665, "completion_tokens": 89, "total_tokens": 2754, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p7-r034", "num": 7, "pred": { "Eulalia": "knave", "Ondine": "knight", "Perdita": "knave", "Zinnia": "knave", "Evander": "knight", "Sylvester": "knight", "Evanthe": "knave" }, "gold": { "Eulalia": "knave", "Ondine": "knight", "Perdita": "knave", "Zinnia": "knave", "Evander": "knight", "Sylvester": "knight", "Evanthe": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people7_num100.jsonl", "file_sha256": "752a97113d999fcff5f2910c78fca761133822b99b5ae6ec9070421e0e51b2dc", "row": 34, "dataset_index": 34 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Eulalia', 'Ondine', 'Perdita', 'Zinnia', 'Evander', 'Sylvester', 'Evanthe']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Eulalia 说 Ondine 不是骑士\nproblem.addConstraint(lambda e, o: e == (not o), ['Eulalia', 'Ondine'])\n\n# Ondine 说 Perdita 是骑士当且仅当 Evander 是无赖\nproblem.addConstraint(lambda o, p, e: o == (p == (not e)), ['Ondine', 'Perdita', 'Evander'])\n\n# Perdita 说 'Evander 是 knave 且 Evander 是 knight'\nproblem.addConstraint(lambda p, e: p == ((not e) and e), ['Perdita', 'Evander'])\n\n# Zinnia 说 'Evanthe 是骑士且 Eulalia 是 knave'\nproblem.addConstraint(lambda z, e, eu: z == (e and (not eu)), ['Zinnia', 'Evanthe', 'Eulalia'])\n\n# Evander 说 'Evanthe 是骑士或 Evanthe 是 knave'\nproblem.addConstraint(lambda e: e == (Evanthe or (not Evanthe)), ['Evander'])\n\n# Sylvester 说 '如果 Zinnia 是骑士那么 Perdita 是 knave'\nproblem.addConstraint(lambda s, z, p: s == (not z or (not p)), ['Sylvester', 'Zinnia', 'Perdita'])\n\n# Evanthe 说 'Zinnia 是 knave 且 Perdita 是 knight'\nproblem.addConstraint(lambda e, z, p: e == ((not z) and p), ['Evanthe', 'Zinnia', 'Perdita'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Eulalia', 'Ondine', 'Perdita', 'Zinnia', 'Evander', 'Sylvester', 'Evanthe']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Eulalia 说 Ondine 不是骑士\nproblem.addConstraint(lambda e, o: e == (not o), ['Eulalia', 'Ondine'])\n\n# Ondine 说 Perdita 是骑士当且仅当 Evander 是无赖\nproblem.addConstraint(lambda o, p, e: o == (p == (not e)), ['Ondine', 'Perdita', 'Evander'])\n\n# Perdita 说 'Evander 是 knave 且 Evander 是 knight'\nproblem.addConstraint(lambda p, e: p == ((not e) and e), ['Perdita', 'Evander'])\n\n# Zinnia 说 'Evanthe 是骑士且 Eulalia 是 knave'\nproblem.addConstraint(lambda z, e, eu: z == (e and (not eu)), ['Zinnia', 'Evanthe', 'Eulalia'])\n\n# Evander 说 'Evanthe 是骑士或 Evanthe 是 knave'\nproblem.addConstraint(lambda e, ean: e == (ean or (not ean)), ['Evander', 'Evanthe'])\n\n# Sylvester 说 '如果 Zinnia 是骑士那么 Perdita 是 knave'\nproblem.addConstraint(lambda s, z, p: s == (not z or (not p)), ['Sylvester', 'Zinnia', 'Perdita'])\n\n# Evanthe 说 'Zinnia 是 knave 且 Perdita 是 knight'\nproblem.addConstraint(lambda e, z, p: e == ((not z) and p), ['Evanthe', 'Zinnia', 'Perdita'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nresidents = ['Eulalia', 'Ondine', 'Perdita', 'Zinnia', 'Evander', 'Sylvester', 'Evanthe']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# Eulalia 说 Ondine 不是骑士\nproblem.addConstraint(lambda e, o: e == (not o), ['Eulalia', 'Ondine'])\n\n# Ondine 说 Perdita 是骑士当且仅当 Evander 是无赖\nproblem.addConstraint(lambda o, p, e: o == (p == (not e)), ['Ondine', 'Perdita', 'Evander'])\n\n# Perdita 说 'Evander 是 knave 且 Evander 是 knight'\nproblem.addConstraint(lambda p, e: p == ((not e) and e), ['Perdita', 'Evander'])\n\n# Zinnia 说 'Evanthe 是骑士且 Eulalia 是 knave'\nproblem.addConstraint(lambda z, e, eu: z == (e and (not eu)), ['Zinnia', 'Evanthe', 'Eulalia'])\n\n# Evander 说 'Evanthe 是骑士或 Evanthe 是 knave'\nproblem.addConstraint(lambda e, ean: e == (ean or (not ean)), ['Evander', 'Evanthe'])\n\n# Sylvester 说 '如果 Zinnia 是骑士那么 Perdita 是 knave'\nproblem.addConstraint(lambda s, z, p: s == (not z or (not p)), ['Sylvester', 'Zinnia', 'Perdita'])\n\n# Evanthe 说 'Zinnia 是 knave 且 Perdita 是 knight'\nproblem.addConstraint(lambda e, z, p: e == ((not z) and p), ['Evanthe', 'Zinnia', 'Perdita'])\n\nsolutions = problem.getSolutions()\n\nresult = {}\nfor sol in solutions:\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n\nprint(result)" ], "text": "{\"Eulalia\": \"knave\", \"Ondine\": \"knight\", \"Perdita\": \"knave\", \"Zinnia\": \"knave\", \"Evander\": \"knight\", \"Sylvester\": \"knight\", \"Evanthe\": \"knave\"}", "used_python_constraint": true, "duration_s": 20.436, "provider_receipts": [ { "turn": 1, "response_id": "0217853613845225e43bed6e99f957d955d5fe9d616876324e601", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1212, "completion_tokens": 696, "total_tokens": 1908, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853613880495e43bed6e99f957d955d5fe9d6168763bb9073", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2018, "completion_tokens": 1271, "total_tokens": 3289, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853613939515e43bed6e99f957d955d5fe9d616876335d8e3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2980, "completion_tokens": 653, "total_tokens": 3633, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853613973595e43bed6e99f957d955d5fe9d616876386f82d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3602, "completion_tokens": 643, "total_tokens": 4245, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853614040225e43bed6e99f957d955d5fe9d61687632d7a38", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 4223, "completion_tokens": 146, "total_tokens": 4369, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p7-r069", "num": 7, "pred": { "Caius": "knave", "Perdita": "knight", "Lysander": "knave", "Thaddeus": "knave", "Osiris": "knight", "Zinnia": "knight", "Theron": "knave" }, "gold": { "Caius": "knight", "Perdita": "knight", "Lysander": "knave", "Thaddeus": "knight", "Osiris": "knave", "Zinnia": "knave", "Theron": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people7_num100.jsonl", "file_sha256": "752a97113d999fcff5f2910c78fca761133822b99b5ae6ec9070421e0e51b2dc", "row": 69, "dataset_index": 69 }, "codes": [ "from constraint import Problem\n\n# 定义变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Caius', 'Perdita', 'Lysander', 'Thaddeus', 'Osiris', 'Zinnia', 'Theron']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Caius 说'Zinnia 不是骑士' -> Caius == (not Zinnia)\nproblem.addConstraint(lambda caius, zinnia: caius == (not zinnia), ['Caius', 'Zinnia'])\n\n# Perdita 说'如果 Caius 是无赖，那么 Thaddeus 是骑士' -> Perdita == (not Caius or Thaddeus)\nproblem.addConstraint(lambda perdita, caius, thaddeus: perdita == (not caius or thaddeus), ['Perdita', 'Caius', 'Thaddeus'])\n\n# Lysander 说'Caius 是骑士且 Perdita 是无赖' -> Lysander == (Caius and not Perdita)\nproblem.addConstraint(lambda lysander, caius, perdita: lysander == (caius and not perdita), ['Lysander', 'Caius', 'Perdita'])\n\n# Thaddeus 说'如果 Zinnia 是无赖，那么 Osiris 是无赖' -> Thaddeus == (not Zinnia or not Osiris)\nproblem.addConstraint(lambda thaddeus, zinnia, osiris: thaddeus == (not zinnia or not osiris), ['Thaddeus', 'Zinnia', 'Osiris'])\n\n# Osiris 说'如果 Lysander 是无赖，那么 Thaddeus 是无赖' -> Osiris == (not Lysander or not Thaddeus)\nproblem.addConstraint(lambda osiris, lysander, thaddeus: osiris == (not lysander or not thaddeus), ['Osiris', 'Lysander', 'Thaddeus'])\n\n# Zinnia 说'如果 Theron 是骑士，那么 Osiris 是骑士' -> Zinnia == (Theron or Osiris)\nproblem.addConstraint(lambda zinnia, theron, osiris: zinnia == (theron or osiris), ['Zinnia', 'Theron', 'Osiris'])\n\n# Theron 说'Perdita 不是无赖' -> Theron == (not Perdita)\nproblem.addConstraint(lambda theron, perdita: theron == (not perdita), ['Theron', 'Perdita'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)" ], "text": "{\"Caius\": \"knave\", \"Perdita\": \"knight\", \"Lysander\": \"knave\", \"Thaddeus\": \"knave\", \"Osiris\": \"knight\", \"Zinnia\": \"knight\", \"Theron\": \"knave\"}", "used_python_constraint": true, "duration_s": 4.108, "provider_receipts": [ { "turn": 1, "response_id": "0217853614049765e43bed6e99f957d955d5fe9d6168763980ae6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1212, "completion_tokens": 680, "total_tokens": 1892, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853614083675e43bed6e99f957d955d5fe9d616876322fa3b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2027, "completion_tokens": 99, "total_tokens": 2126, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p8-r012", "num": 8, "pred": { "Vesper": "knave", "Zephyrus": "knight", "Eulalia": "knight", "Xanthe": "knight", "Zinnia": "knight", "Cyprian": "knight", "Caius": "knave", "Sylvester": "knave" }, "gold": { "Vesper": "knave", "Zephyrus": "knight", "Eulalia": "knight", "Xanthe": "knight", "Zinnia": "knight", "Cyprian": "knight", "Caius": "knave", "Sylvester": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people8_num100.jsonl", "file_sha256": "951228b33ff7b4afffcbd247eeb67390d9af5ff2def9f9cdb0f8433564fffc15", "row": 12, "dataset_index": 12 }, "codes": [ "", "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nresidents = ['Vesper', 'Zephyrus', 'Eulalia', 'Xanthe', 'Zinnia', 'Cyprian', 'Caius', 'Sylvester']\nfor resident in residents:\n problem.addVariable(resident, [True, False])\n\n# 解析各陈述并添加约束\n# Vesper说：Zinnia是骑士且Cyprian是无赖\nproblem.addConstraint(lambda vesper, zinnia, cyprian: vesper == (zinnia and not cyprian), ['Vesper', 'Zinnia', 'Cyprian'])\n\n# Zephyrus说：Caius是无赖\nproblem.addConstraint(lambda zephyrus, caius: zephyrus == (not caius), ['Zephyrus', 'Caius'])\n\n# Eulalia说：Cyprian是骑士当且仅当Eulalia是骑士\nproblem.addConstraint(lambda eulalia, cyprian: eulalia == (cyprian == eulalia), ['Eulalia', 'Cyprian'])\n\n# Xanthe说：如果Vesper是无赖，那么Cyprian是骑士\nproblem.addConstraint(lambda xanthe, vesper, cyprian: xanthe == (not vesper or cyprian), ['Xanthe', 'Vesper', 'Cyprian'])\n\n# Zinnia说：Xanthe是骑士\nproblem.addConstraint(lambda zinnia, xanthe: zinnia == xanthe, ['Zinnia', 'Xanthe'])\n\n# Cyprian说：如果Vesper是无赖，那么Eulalia是骑士\nproblem.addConstraint(lambda cyprian, vesper, eulalia: cyprian == (not vesper or eulalia), ['Cyprian', 'Vesper', 'Eulalia'])\n\n# Caius说：Zinnia不是骑士\nproblem.addConstraint(lambda caius, zinnia: caius == (not zinnia), ['Caius', 'Zinnia'])\n\n# Sylvester说：如果Zinnia是骑士，那么Xanthe是无赖\nproblem.addConstraint(lambda sylvester, zinnia, xanthe: sylvester == (not zinnia or not xanthe), ['Sylvester', 'Zinnia', 'Xanthe'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor solution in solutions:\n for name, is_knight in solution.items():\n final_result[name] = 'knight' if is_knight else 'knave'\n\nimport json\nprint(json.dumps(final_result, indent=4))" ], "text": "{\"Vesper\": \"knave\", \"Zephyrus\": \"knight\", \"Eulalia\": \"knight\", \"Xanthe\": \"knight\", \"Zinnia\": \"knight\", \"Cyprian\": \"knight\", \"Caius\": \"knave\", \"Sylvester\": \"knave\"}", "used_python_constraint": true, "duration_s": 17.626, "provider_receipts": [ { "turn": 1, "response_id": "0217853614090995e43bed6e99f957d955d5fe9d6168763bea36a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1228, "completion_tokens": 633, "total_tokens": 1861, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853614123725e43bed6e99f957d955d5fe9d6168763a8efc9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1978, "completion_tokens": 3412, "total_tokens": 5390, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853614259485e43bed6e99f957d955d5fe9d6168763791eb8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2747, "completion_tokens": 107, "total_tokens": 2854, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "uncommon_name-p8-r068", "num": 8, "pred": { "Amaryllis": "knave", "Osiris": "knight", "Cillian": "knight", "Zenobia": "knave", "Eurydice": "knave", "Ottoline": "knight", "Calliope": "knight", "Ignatius": "knave" }, "gold": { "Amaryllis": "knave", "Osiris": "knave", "Cillian": "knight", "Zenobia": "knave", "Eurydice": "knave", "Ottoline": "knave", "Calliope": "knight", "Ignatius": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "uncommon_name", "path": "test/uncommon_name/people8_num100.jsonl", "file_sha256": "951228b33ff7b4afffcbd247eeb67390d9af5ff2def9f9cdb0f8433564fffc15", "row": 68, "dataset_index": 68 }, "codes": [ "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Amaryllis', 'Osiris', 'Cillian', 'Zenobia', 'Eurydice', 'Ottoline', 'Calliope', 'Ignatius']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Amaryllis说：Ignatius不是无赖。即Amaryllis == (Ignatius是骑士)\nproblem.addConstraint(lambda a, i: a == i, ['Amaryllis', 'Ignatius'])\n\n# Osiris说：Calliope是无赖或者Ottoline是骑士。即Osiris == (not Calliope or Ottoline)\nproblem.addConstraint(lambda o, c, ot: o == (not c or ot), ['Osiris', 'Calliope', 'Ottoline'])\n\n# Cillian说：如果Zenobia是无赖，那么Ignatius是无赖。即Cillian == (not Zenobia or not Ignatius)\nproblem.addConstraint(lambda c, z, i: c == (not z or not i), ['Cillian', 'Zenobia', 'Ignatius'])\n\n# Zenobia说：Cillian不是骑士。即Zenobia == (not Cillian)\nproblem.addConstraint(lambda z, c: z == (not c), ['Zenobia', 'Cillian'])\n\n# Eurydice说：Amaryllis是骑士。即Eurydice == Amaryllis\nproblem.addConstraint(lambda e, a: e == a, ['Eurydice', 'Amaryllis'])\n\n# Ottoline说：如果Osiris是无赖，那么Ottoline是骑士。即Ottoline == (not Osiris or Ottoline)\nproblem.addConstraint(lambda ot, o: ot == (not o or ot), ['Ottoline', 'Osiris'])\n\n# Calliope说：如果Amaryllis是骑士，那么Calliope是骑士。即Calliope == (Amaryllis or Calliope)\nproblem.addConstraint(lambda c, a: c == (a or c), ['Calliope', 'Amaryllis'])\n\n# Ignatius说：如果Ottoline是无赖，那么Calliope是无赖。即Ignatius == (not Ottoline or not Calliope)\nproblem.addConstraint(lambda i, ot, c: i == (not ot or not c), ['Ignatius', 'Ottoline', 'Calliope'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 打印结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)" ], "text": "{\"Amaryllis\": \"knave\", \"Osiris\": \"knight\", \"Cillian\": \"knight\", \"Zenobia\": \"knave\", \"Eurydice\": \"knave\", \"Ottoline\": \"knight\", \"Calliope\": \"knight\", \"Ignatius\": \"knave\"}", "used_python_constraint": true, "duration_s": 4.259, "provider_receipts": [ { "turn": 1, "response_id": "0217853614267445e43bed6e99f957d955d5fe9d6168763b38584", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1224, "completion_tokens": 635, "total_tokens": 1859, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853614302935e43bed6e99f957d955d5fe9d6168763ec9dbf", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2002, "completion_tokens": 109, "total_tokens": 2111, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p2-r007", "num": 2, "pred": { "Owen": "knave", "Penelope": "knight" }, "gold": { "Owen": "knave", "Penelope": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people2_num100.jsonl", "file_sha256": "2885eb7b356f9ab67ff2ccef9372dcfa7ebcf6ed2b8c5e720db1d74f03840c8d", "row": 7, "dataset_index": 7 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Owen', [True, False])\np.addVariable('Penelope', [True, False])\n\n# 处理Owen的陈述：\"Penelope是无赖当且仅当Penelope是骑士\"，即 (Penelope是无赖) <-> (Penelope是骑士)，这等价于False，所以Owen的话为假，因此Owen是无赖当且仅当他的话为假，即 Owen == ( (Penelope == False) == (Penelope == True) )\np.addConstraint(lambda owen, penelope: owen == ((penelope == False) == (penelope == True)), ['Owen', 'Penelope'])\n\n# 处理Penelope的陈述：\"Owen不是骑士\"，即 Penelope == (Owen == False)\np.addConstraint(lambda penelope, owen: penelope == (owen == False), ['Penelope', 'Owen'])\n\n# 求解所有可能的解\nsolutions = p.getSolutions()\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})" ], "text": "{\"Owen\": \"knave\", \"Penelope\": \"knight\"}", "used_python_constraint": true, "duration_s": 2.271, "provider_receipts": [ { "turn": 1, "response_id": "0217853614310215e43bed6e99f957d955d5fe9d61687634619d0", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1088, "completion_tokens": 296, "total_tokens": 1384, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853614327545e43bed6e99f957d955d5fe9d6168763e98d03", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1468, "completion_tokens": 54, "total_tokens": 1522, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p2-r080", "num": 2, "pred": { "Benjamin": "knight", "Olivia": "knave" }, "gold": { "Benjamin": "knave", "Olivia": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people2_num100.jsonl", "file_sha256": "2885eb7b356f9ab67ff2ccef9372dcfa7ebcf6ed2b8c5e720db1d74f03840c8d", "row": 80, "dataset_index": 80 }, "codes": [ "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Benjamin', [True, False])\np.addVariable('Olivia', [True, False])\n\n# Benjamin说\"Olivia是个无赖\"，根据双条件约束：Benjamin的布尔值 == (Olivia是无赖)\ndef benjamin_constraint(benjamin, olivia):\n return benjamin == (not olivia)\np.addConstraint(benjamin_constraint, ['Benjamin', 'Olivia'])\n\n# Olivia说\"Benjamin是无赖且Benjamin是骑士\"，这句话是矛盾的，其真值为False，所以根据双条件约束：Olivia的布尔值 == (这句话为假)\ndef olivia_constraint(olivia, benjamin):\n # 因为\"Benjamin是无赖且Benjamin是骑士\"等价于False，所以olivia == False\n return olivia == False\np.addConstraint(olivia_constraint, ['Olivia', 'Benjamin'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\nfor sol in solutions:\n print({k:('knight' if v else 'knave') for k,v in sol.items()})" ], "text": "{\"Benjamin\": \"knight\", \"Olivia\": \"knave\"}", "used_python_constraint": true, "duration_s": 2.695, "provider_receipts": [ { "turn": 1, "response_id": "0217853614333135e43bed6e99f957d955d5fe9d6168763c3c6e4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1087, "completion_tokens": 287, "total_tokens": 1374, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853614354245e43bed6e99f957d955d5fe9d61687637ba90d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 1459, "completion_tokens": 55, "total_tokens": 1514, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p3-r036", "num": 3, "pred": null, "gold": { "David": "knight", "William": "knave", "Noah": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people3_num100.jsonl", "file_sha256": "31026489710814617c66a6879408accc099c34f395425b41d0bd56743d933461", "row": 36, "dataset_index": 36 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('David', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Noah', [True, False])\n\n# 大卫说'William是骑士'，约束：David == William\ndef david_constraint(david, william):\n return david == william\np.addConstraint(david_constraint, ['David', 'William'])\n\n# 威廉说'David是无赖且William是无赖'，约束：William == (not David) or William ？不，重新来：威廉是无赖，所以他的话为假，即¬((¬David) ∧ (¬William))，根据德摩根定律，等价于 David ∨ William。所以William == (David or William)\ndef william_constraint(david, william):\n return william == (david or william)\np.addConstraint(william_constraint, ['David', 'William'])\n\n# 诺亚说'David是骑士或者William是无赖'，约束：Noah == (David or not William)\ndef noah_constraint(david, william, noah):\n return noah == (david or not william)\np.addConstraint(noah_constraint, ['David', 'William', 'Noah'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('David', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Noah', [True, False])\n\n# 大卫说'William是骑士'，约束：David == William\ndef david_constraint(david, william):\n return david == william\np.addConstraint(david_constraint, ['David', 'William'])\n\n# 威廉说'David是无赖且William是无赖'，约束：William == (not David) and (not william)\ndef william_constraint(david, william):\n return william == (not david) and (not william)\np.addConstraint(william_constraint, ['David', 'William'])\n\n# 诺亚说'David是骑士或者William是无赖'，约束：Noah == (david or not william)\ndef noah_constraint(david, william, noah):\n return noah == (david or not william)\np.addConstraint(noah_constraint, ['David', 'William', 'Noah'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('David', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Noah', [True, False])\n\n# 大卫说'William是骑士'，约束：David的布尔值等于William为真\ndef david_constraint(david, william):\n return david == william\np.addConstraint(david_constraint, ['David', 'William'])\n\n# 威廉说'David是无赖且William是无赖'，约束：William的布尔值等于(Not David)且(Not William)\ndef william_constraint(david, william):\n return william == ((not david) and (not william))\np.addConstraint(william_constraint, ['David', 'William'])\n\n# 诺亚说'David是骑士或者William是无赖'，约束：Noah的布尔值等于(David为真 或者 William为假)\ndef noah_constraint(david, william, noah):\n return noah == (david or (not william))\np.addConstraint(noah_constraint, ['David', 'William', 'Noah'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nresults = []\nfor sol in solutions:\n result = {}\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n results.append(result)\n\n# 打印结果\nfor res in results:\n print(res)\n\n# 输出JSON形式的最终答案\nimport json\nfinal_result = results[0] if results else {}\nprint(json.dumps(final_result, indent=4))", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('David', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Noah', [True, False])\n\n# 大卫说'William是骑士'，约束：David == William\ndef david_constraint(david, william):\n return david == william\np.addConstraint(david_constraint, ['David', 'William'])\n\n# 威廉说'David是无赖且William是无赖'，约束：William == (not David) and (not william)\ndef william_constraint(david, william):\n return william == (not david) and (not william)\np.addConstraint(william_constraint, ['David', 'William'])\n\n# 诺亚说'David是骑士或者William是无赖'，约束：Noah == (david or not william)\ndef noah_constraint(david, william, noah):\n return noah == (david or not william)\np.addConstraint(noah_constraint, ['David', 'William', 'Noah'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nresult_dict = {}\nfor sol in solutions:\n for name, is_knight in sol.items():\n result_dict[name] = 'knight' if is_knight else 'knave'\n\n# 输出JSON形式的最终答案\nimport json\nprint(json.dumps(result_dict, indent=4))", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('David', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Noah', [True, False])\n\n# 大卫说'William是骑士'，约束：David == William\ndef david_constraint(david, william):\n return david == william\np.addConstraint(david_constraint, ['David', 'William'])\n\n# 威廉说'David是无赖且William是无赖'，约束：William == (not David) and (not william)\ndef william_constraint(david, william):\n return william == (not david) and (not william)\np.addConstraint(william_constraint, ['David', 'William'])\n\n# 诺亚说'David是骑士或者William是无赖'，约束：Noah == (david or not william)\ndef noah_constraint(david, william, noah):\n return noah == (david or not william)\np.addConstraint(noah_constraint, ['David', 'William', 'Noah'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 格式化输出结果\nresult = {}\nfor sol in solutions:\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n\n# 输出JSON形式的最终答案\nimport json\nprint(json.dumps(result, indent=4))", "from constraint import Problem\nimport json\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('David', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Noah', [True, False])\n\n# 大卫说'William是骑士'，约束：David的布尔值等于William为真\ndef david_constraint(david, william):\n return david == william\np.addConstraint(david_constraint, ['David', 'William'])\n\n# 威廉说'David是无赖且William是无赖'，约束：William的布尔值等于(Not David)且(Not William)\ndef william_constraint(david, william):\n return william == (not david) and (not william)\np.addConstraint(william_constraint, ['David', 'William'])\n\n# 诺亚说'David是骑士或者William是无赖'，约束：Noah的布尔值等于(David为真 或者 William为假)\ndef noah_constraint(david, william, noah):\n return noah == (david or not william)\np.addConstraint(noah_constraint, ['David', 'William', 'Noah'])\n\n# 寻找所有解\nsolutions = p.getSolutions()\n\n# 格式化结果\nresult = {}\nfor sol in solutions:\n for name, is_knight in sol.items():\n result[name] = 'knight' if is_knight else 'knave'\n\n# 输出JSON格式\nprint(json.dumps(result, indent=4))", "from constraint import Problem\nimport json\n\np = Problem()\np.addVariable('David', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Noah', [True, False])\n\n# 大卫说'William是骑士'的约束\ndef david_con(david, william):\n return david == william\np.addConstraint(david_con, ['David', 'William'])\n\n# 威廉说'David是无赖且William是无赖'的约束\ndef william_con(david, william):\n return william == (not david) and (not william)\np.addConstraint(william_con, ['David', 'William'])\n\n# 诺亚说'David是骑士或者William是无赖'的约束\ndef noah_con(david, william, noah):\n return noah == (david or not william)\np.addConstraint(noah_con, ['David', 'William', 'Noah'])\n\nsolutions = p.getSolutions()\n\nres = {}\nfor sol in solutions:\n for name, val in sol.items():\n res[name] = 'knight' if val else 'knave'\n\nprint(json.dumps(res, indent=4))" ], "text": "", "used_python_constraint": true, "duration_s": 127.975, "provider_receipts": [ { "turn": 1, "response_id": "0217853614360175e43bed6e99f957d955d5fe9d61687637a1db9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1097, "completion_tokens": 384, "total_tokens": 1481, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853614382195e43bed6e99f957d955d5fe9d616876355df2c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 1580, "completion_tokens": 5842, "total_tokens": 7422, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853614617755e43bed6e99f957d955d5fe9d61687631a58fe", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2053, "completion_tokens": 10997, "total_tokens": 13050, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853615089825e43bed6e99f957d955d5fe9d6168763417cae", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2457, "completion_tokens": 609, "total_tokens": 3066, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853615124925e43bed6e99f957d955d5fe9d61687636bd889", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2920, "completion_tokens": 7965, "total_tokens": 10885, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853615516305e43bed6e99f957d955d5fe9d616876338a52a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3328, "completion_tokens": 600, "total_tokens": 3928, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853615551435e43bed6e99f957d955d5fe9d6168763b8372f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3733, "completion_tokens": 915, "total_tokens": 4648, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853615599665e43bed6e99f957d955d5fe9d61687632760d3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4146, "completion_tokens": 779, "total_tokens": 4925, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "flip_role-p3-r079", "num": 3, "pred": { "James": "knave", "Harper": "knight", "Jack": "knave" }, "gold": { "James": "knave", "Harper": "knight", "Jack": "knave" }, "correct": true, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people3_num100.jsonl", "file_sha256": "31026489710814617c66a6879408accc099c34f395425b41d0bd56743d933461", "row": 79, "dataset_index": 79 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\np.addVariable('James', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Jack', [True, False])\n\n# 詹姆斯的陈述：James是无赖当且仅当Jack是骑士\np.addConstraint(lambda j, ja: j == ((not j) == ja), ['James', 'Jack'])\n\n# 哈珀的陈述：Jack不是无赖\np.addConstraint(lambda h, ja: h == (not ja), ['Harper', 'Jack'])\n\n# 杰克的陈述：Harper是无赖且James是无赖\np.addConstraint(lambda j, h, ja: j == ((not h) and (not ja)), ['James', 'Harper', 'Jack'])\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n res = {}\n for name, val in sol.items():\n res[name] = 'knight' if val else 'knave'\n print(res)", "from constraint import Problem\n\np = Problem()\np.addVariable('James', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Jack', [True, False])\n\n# 詹姆斯的陈述：James是无赖当且仅当Jack是骑士\np.addConstraint(lambda j, ja: j == ((not j) == ja), ['James', 'Jack'])\n\n# 哈珀的陈述：Jack不是无赖\np.addConstraint(lambda h, ja: h == (not ja), ['Harper', 'Jack'])\n\n# 杰克的陈述：Harper是无赖且James是无赖\np.addConstraint(lambda j, h, ja: j == ((not h) and (not ja)), ['James', 'Harper', 'Jack'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, val in sol.items():\n result[name] = 'knight' if val else 'knave'\n\nimport json\nprint(json.dumps(result))", "from constraint import Problem\n\np = Problem()\np.addVariable('James', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Jack', [True, False])\n\n# 詹姆斯的陈述：James是无赖当且仅当Jack是骑士\np.addConstraint(lambda j, ja: j == ((not j) == ja), ['James', 'Jack'])\n\n# 哈珀的陈述：Jack不是无赖\np.addConstraint(lambda h, ja: h == (not ja), ['Harper', 'Jack'])\n\n# 杰克的陈述：Harper是无赖且James是无赖\np.addConstraint(lambda j, h, ja: j == ((not h) and (not ja)), ['James', 'Harper', 'Jack'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, val in sol.items():\n result[name] = 'knight' if val else 'knave'\n\nimport json\nprint(json.dumps(result))", "from constraint import Problem\n\np = Problem()\np.addVariable('James', [True, False])\np.addVariable('Harper', [True, False])\np.addVariable('Jack', [True, False])\n\n# 詹姆斯的陈述：James是无赖当且仅当Jack是骑士\np.addConstraint(lambda j, ja: j == ((not j) == ja), ['James', 'Jack'])\n\n# 哈珀的陈述：Jack不是无赖\np.addConstraint(lambda h, ja: h == (not ja), ['Harper', 'Jack'])\n\n# 杰克的陈述：Harper是无赖且James是无赖\np.addConstraint(lambda j, h, ja: j == ((not h) and (not ja)), ['James', 'Harper', 'Jack'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, val in sol.items():\n result[name] = 'knight' if val else 'knave'\n\nimport json\nprint(json.dumps(result))" ], "text": "{\"James\": \"knave\", \"Harper\": \"knight\", \"Jack\": \"knave\"}", "used_python_constraint": true, "duration_s": 24.111, "provider_receipts": [ { "turn": 1, "response_id": "0217853615640075e43bed6e99f957d955d5fe9d616876368cb6e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1102, "completion_tokens": 327, "total_tokens": 1429, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853615660685e43bed6e99f957d955d5fe9d61687638a4e9f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1527, "completion_tokens": 2341, "total_tokens": 3868, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853615773325e43bed6e99f957d955d5fe9d6168763e9705f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1826, "completion_tokens": 1142, "total_tokens": 2968, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853615829945e43bed6e99f957d955d5fe9d61687639870ca", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2130, "completion_tokens": 328, "total_tokens": 2458, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853615851635e43bed6e99f957d955d5fe9d6168763fcf9bf", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2434, "completion_tokens": 343, "total_tokens": 2777, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853615873495e43bed6e99f957d955d5fe9d6168763b5c99a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2738, "completion_tokens": 92, "total_tokens": 2830, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p4-r036", "num": 4, "pred": { "Noah": "knave", "William": "knight", "Aria": "knave", "Aurora": "knight" }, "gold": { "Noah": "knave", "William": "knight", "Aria": "knight", "Aurora": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people4_num100.jsonl", "file_sha256": "a5d56cc8724a40fd674dba7730f52ca8dec26966f07ff434302bd62b1260a458", "row": 36, "dataset_index": 36 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Noah', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Aria', [True, False])\np.addVariable('Aurora', [True, False])\n\n# 诺亚说：Aria是无赖当且仅当Aurora是无赖\np.addConstraint(lambda a, au: Noah == (a == au), ['Aria', 'Aurora'])\n\n# 威廉说：如果威廉是无赖，那么Aurora是骑士\np.addConstraint(lambda w, au: William == (not w or au), ['William', 'Aurora'])\n\n# 阿ria说：Aria是无赖或者Aurora是骑士\np.addConstraint(lambda a, au: Aria == (not a or au), ['Aria', 'Aurora'])\n\n# 奥罗拉说：Noah是骑士当且仅当William是骑士\np.addConstraint(lambda n, w: Aurora == (n == w), ['Noah', 'William'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Noah', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Aria', [True, False])\np.addVariable('Aurora', [True, False])\n\n# 诺亚说：Aria是无赖当且仅当Aurora是无赖\np.addConstraint(lambda noah, a, au: noah == (a == au), ['Noah', 'Aria', 'Aurora'])\n\n# 威廉说：如果威廉是无赖，那么Aurora是骑士\np.addConstraint(lambda william, w, au: william == (not w or au), ['William', 'William', 'Aurora'])\n# 这里发现之前的参数传递错误，应该是lambda william, w, au: william == (not w or au)，其中w是William变量，au是Aurora\np.addConstraint(lambda william, w, au: william == (not w or au), ['William', 'William', 'Aurora'])? 不对，重新来：威廉的约束是lambda w, au: William == (not w or au)，所以参数应该是['William', 'William', 'Aurora']？不，正确的参数应该是变量名，William对应的变量是'William'，Aurora是'Aurora'。所以应该是p.addConstraint(lambda w, au: William == (not w or au), ['William', 'Aurora'])\n\n# 阿ria说：Aria是无赖或者Aurora是骑士\np.addConstraint(lambda a, au: Aria == (not a or au), ['Aria', 'Aurora'])\n\n# 奥罗拉说：Noah是骑士当且仅当William是骑士\np.addConstraint(lambda n, w: Aurora == (n == w), ['Noah', 'William'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Noah', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Aria', [True, False])\np.addVariable('Aurora', [True, False])\n\n# 诺亚说：Aria是无赖当且仅当Aurora是无赖\np.addConstraint(lambda noah, aria, aurora: noah == (aria == aurora), ['Noah', 'Aria', 'Aurora'])\n\n# 威廉说：如果威廉是无赖，那么Aurora是骑士\np.addConstraint(lambda william, aurora: william == (not william or aurora), ['William', 'Aurora'])\n\n# 阿ria说：Aria是无赖或者Aurora是骑士\np.addConstraint(lambda aria, aurora: aria == (not aria or aurora), ['Aria', 'Aurora'])\n\n# 奥罗拉说：Noah是骑士当且仅当William是骑士\np.addConstraint(lambda noah, william: aurora == (noah == william), ['Noah', 'William'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Noah', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Aria', [True, False])\np.addVariable('Aurora', [True, False])\n\n# 诺亚说：Aria是无赖当且仅当Aurora是无赖\np.addConstraint(lambda noah, aria, aurora: noah == (aria == aurora), ['Noah', 'Aria', 'Aurora'])\n\n# 威廉说：如果威廉是无赖，那么Aurora是骑士\np.addConstraint(lambda william, aurora: william == (not william or aurora), ['William', 'Aurora'])\n\n# 阿ria说：Aria是无赖或者Aurora是骑士\np.addConstraint(lambda aria, aurora: aria == (not aria or aurora), ['Aria', 'Aurora'])\n\n# 奥罗拉说：Noah是骑士当且仅当William是骑士\np.addConstraint(lambda noah, william: Aurora == (noah == william), ['Noah', 'William'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Noah', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Aria', [True, False])\np.addVariable('Aurora', [True, False])\n\n# 诺亚说：Aria是无赖当且仅当Aurora是无赖\np.addConstraint(lambda noah, aria, aurora: noah == (aria == aurora), ['Noah', 'Aria', 'Aurora'])\n\n# 威廉说：如果威廉是无赖，那么Aurora是骑士\np.addConstraint(lambda william, aurora: william == (not william or aurora), ['William', 'Aurora'])\n\n# 阿ria说：Aria是无赖或者Aurora是骑士\np.addConstraint(lambda aria, aurora: aria == (not aria or aurora), ['Aria', 'Aurora'])\n\n# 奥罗拉说：Noah是骑士当且仅当William是骑士\np.addConstraint(lambda noah, william: aurora == (noah == william), ['Noah', 'William'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\n# 定义变量，True表示骑士，False表示无赖\np.addVariable('Noah', [True, False])\np.addVariable('William', [True, False])\np.addVariable('Aria', [True, False])\np.addVariable('Aurora', [True, False])\n\n# 诺亚说：Aria是无赖当且仅当Aurora是无赖\np.addConstraint(lambda noah, aria, aurora: noah == (aria == aurora), ['Noah', 'Aria', 'Aurora'])\n\n# 威廉说：如果威廉是无赖，那么Aurora是骑士\np.addConstraint(lambda william, aurora: william == (not william or aurora), ['William', 'Aurora'])\n\n# 阿ria说：Aria是无赖或者Aurora是骑士\np.addConstraint(lambda aria, aurora: aria == (not aria or aurora), ['Aria', 'Aurora'])\n\n# 奥罗拉说：Noah是骑士当且仅当William是骑士\np.addConstraint(lambda noah, william: Aurora == (noah == william), ['Noah', 'William'])\n\n# 寻找所有满足条件的解\nsolutions = p.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)" ], "text": "{\n \"Noah\": \"knave\",\n \"William\": \"knight\",\n \"Aria\": \"knave\",\n \"Aurora\": \"knight\"\n}", "used_python_constraint": true, "duration_s": 76.485, "provider_receipts": [ { "turn": 1, "response_id": "0217853615881345e43bed6e99f957d955d5fe9d61687639e1f82", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1135, "completion_tokens": 377, "total_tokens": 1512, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853615907015e43bed6e99f957d955d5fe9d61687632d11af", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 1611, "completion_tokens": 4460, "total_tokens": 6071, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853616093035e43bed6e99f957d955d5fe9d6168763716541", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2513, "completion_tokens": 625, "total_tokens": 3138, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853616126025e43bed6e99f957d955d5fe9d6168763fbc891", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3264, "completion_tokens": 779, "total_tokens": 4043, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853616163815e43bed6e99f957d955d5fe9d616876321b677", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 4191, "completion_tokens": 4718, "total_tokens": 8909, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853616377795e43bed6e99f957d955d5fe9d61687631bac02", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 5112, "completion_tokens": 4470, "total_tokens": 9582, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853616576545e43bed6e99f957d955d5fe9d61687636bc1e3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 6073, "completion_tokens": 850, "total_tokens": 6923, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853616619585e43bed6e99f957d955d5fe9d6168763e84847", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 7393, "completion_tokens": 444, "total_tokens": 7837, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p4-r097", "num": 4, "pred": null, "gold": { "Lucas": "knave", "Ava": "knave", "Grace": "knight", "Liam": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people4_num100.jsonl", "file_sha256": "a5d56cc8724a40fd674dba7730f52ca8dec26966f07ff434302bd62b1260a458", "row": 97, "dataset_index": 97 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nproblem.addVariables(['Lucas', 'Ava', 'Grace', 'Liam'], [True, False])\n\n# Lucas的陈述：如果Grace是无赖则Ava是无赖，即 ¬Grace → ¬Ava，等价于 Grace ∨ ¬Ava\nproblem.addConstraint(lambda lucas, grace, ava: lucas == (grace or not ava), ['Lucas', 'Grace', 'Ava'])\n\n# Ava的陈述：Grace不是无赖，即 Grace为真\nproblem.addConstraint(lambda ava, grace: ava == grace, ['Ava', 'Grace'])\n\n# Grace的陈述：Ava是骑士当且仅当Lucas是骑士，即 Ava ↔ Lucas\nproblem.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# Liam的陈述：Grace是骑士当且仅当Grace是无赖，即 Grace ↔ ¬Grace，恒假，所以Liam必为假\nproblem.addConstraint(lambda liam, grace: liam == (grace == not grace), ['Liam', 'Grace'])\n\nsolutions = problem.getSolutions()\n\nresult = {} \nfor sol in solutions:\n for name, val in sol.items():\n result[name] = 'knight' if val else 'knave'\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nproblem.addVariables(['Lucas', 'Ava', 'Grace', 'Liam'], [True, False])\n\n# Lucas的陈述：如果Grace是无赖则Ava是无赖，逻辑表达式为Grace或非Ava\nproblem.addConstraint(lambda lucas, grace, ava: lucas == (grace or not ava), ['Lucas', 'Grace', 'Ava'])\n\n# Ava的陈述：Grace不是无赖，即Ava等于Grace\nproblem.addConstraint(lambda ava, grace: ava == grace, ['Ava', 'Grace'])\n\n# Grace的陈述：Ava是骑士当且仅当Lucas是骑士，即Grace等于Ava和Lucas的等价\nproblem.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# Liam的陈述：Grace是骑士当且仅当Grace是无赖，即Liam等于Grace和非Grace的等价（恒假）\nproblem.addConstraint(lambda liam, grace: liam == (grace == (not grace)), ['Liam', 'Grace'])\n\nsolutions = problem.getSolutions()\n\nresult = {}\nfor sol in solutions:\n for name, val in sol.items():\n result[name] = 'knight' if val else 'knave'\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nproblem.addVariables(['Lucas', 'Ava', 'Grace', 'Liam'], [True, False])\n\n# Lucas的陈述：如果Grace是无赖则Ava是无赖，等价于Grace或非Ava\nproblem.addConstraint(lambda lucas, grace, ava: lucas == (grace or not ava), ['Lucas', 'Grace', 'Ava'])\n\n# Ava的陈述：Grace不是无赖，即Ava等于Grace\nproblem.addConstraint(lambda ava, grace: ava == grace, ['Ava', 'Grace'])\n\n# Grace的陈述：Ava是骑士当且仅当Lucas是骑士，即Grace等于Ava和Lucas的等价\nproblem.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# Liam的陈述：Grace是骑士当且仅当Grace是无赖，即Liam等于Grace和非Grace的等价（恒假）\nproblem.addConstraint(lambda liam, grace: liam == (grace == not grace), ['Liam', 'Grace'])\n\nsolutions = problem.getSolutions()\n\nresult = []\nfor sol in solutions:\n res = {}\n for name, val in sol.items():\n res[name] = 'knight' if val else 'knave'\n result.append(res)\n\nimport json\nprint(json.dumps(result, indent=4))", "from constraint import Problem\n\nproblem = Problem()\nproblem.addVariables(['Lucas', 'Ava', 'Grace', 'Liam'], [True, False])\n\n# Lucas的陈述：如果Grace是无赖则Ava是无赖\nproblem.addConstraint(lambda lucas, grace, ava: lucas == (grace or not ava), ['Lucas', 'Grace', 'Ava'])\n\n# Ava的陈述：Grace不是无赖\nproblem.addConstraint(lambda ava, grace: ava == grace, ['Ava', 'Grace'])\n\n# Grace的陈述：Ava是骑士当且仅当Lucas是骑士\nproblem.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# Liam的陈述：Grace是骑士当且仅当Grace是无赖\nproblem.addConstraint(lambda liam, grace: liam == (grace == not grace), ['Liam', 'Grace'])\n\nsolutions = problem.getSolutions()\n\nresult = {}\nfor sol in solutions:\n for name, val in sol.items():\n result[name] = 'knight' if val else 'knave'\n\nimport json\nprint(json.dumps(result, indent=4))", "from constraint import Problem\n\nproblem = Problem()\nproblem.addVariables(['Lucas', 'Ava', 'Grace', 'Liam'], [True, False])\n\n# Lucas的陈述：如果Grace是无赖则Ava是无赖，等价于Grace或非Ava\nproblem.addConstraint(lambda lucas, grace, ava: lucas == (grace or not ava), ['Lucas', 'Grace', 'Ava'])\n\n# Ava的陈述：Grace不是无赖，即Ava等于Grace\nproblem.addConstraint(lambda ava, grace: ava == grace, ['Ava', 'Grace'])\n\n# Grace的陈述：Ava是骑士当且仅当Lucas是骑士\nproblem.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# Liam的陈述：Grace是骑士当且仅当Grace是无赖，即Liam等于Grace和非Grace的等价（恒假）\nproblem.addConstraint(lambda liam, grace: liam == (grace == not grace), ['Liam', 'Grace'])\n\nsolutions = problem.getSolutions()\n\nresult = {}\nfor sol in solutions:\n for name, val in sol.items():\n result[name] = 'knight' if val else 'knave'\n\nimport json\nprint(json.dumps(result, indent=4))", "from constraint import Problem\n\nproblem = Problem()\nproblem.addVariables(['Lucas', 'Ava', 'Grace', 'Liam'], [True, False])\n\n# Lucas的陈述：如果Grace是无赖则Ava是无赖，等价于Grace或非Ava\nproblem.addConstraint(lambda lucas, grace, ava: lucas == (grace or not ava), ['Lucas', 'Grace', 'Ava'])\n\n# Ava的陈述：Grace不是无赖，即Ava等于Grace\nproblem.addConstraint(lambda ava, grace: ava == grace, ['Ava', 'Grace'])\n\n# Grace的陈述：Ava是骑士当且仅当Lucas是骑士，即Grace等于Ava和Lucas的等价\nproblem.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# Liam的陈述：Grace是骑士当且仅当Grace是无赖，即Liam等于Grace和非Grace的等价（恒假）\nproblem.addConstraint(lambda liam, grace: liam == (grace == not grace), ['Liam', 'Grace'])\n\nsolutions = problem.getSolutions()\n\nresult = {}\nfor sol in solutions:\n for name, val in sol.items():\n result[name] = 'knight' if val else 'knave'\n\nimport json\nprint(json.dumps(result, indent=4))", "from constraint import Problem\n\nproblem = Problem()\nproblem.addVariables(['Lucas', 'Ava', 'Grace', 'Liam'], [True, False])\n\n# Lucas的陈述：如果Grace是无赖则Ava是无赖，等价于Grace或非Ava\nproblem.addConstraint(lambda lucas, grace, ava: lucas == (grace or not ava), ['Lucas', 'Grace', 'Ava'])\n\n# Ava的陈述：Grace不是无赖，即Ava等于Grace\nproblem.addConstraint(lambda ava, grace: ava == grace, ['Ava', 'Grace'])\n\n# Grace的陈述：Ava是骑士当且仅当Lucas是骑士，即Grace等于Ava和Lucas的等价\nproblem.addConstraint(lambda grace, ava, lucas: grace == (ava == lucas), ['Grace', 'Ava', 'Lucas'])\n\n# Liam的陈述：Grace是骑士当且仅当Grace是无赖，即Liam等于Grace和非Grace的等价（恒假）\nproblem.addConstraint(lambda liam, grace: liam == (grace == not grace), ['Liam', 'Grace'])\n\nsolutions = problem.getSolutions()\n\nresult = {}\nfor sol in solutions:\n for name, val in sol.items():\n result[name] = 'knight' if val else 'knave'\n\nimport json\nprint(json.dumps(result, indent=4))" ], "text": "", "used_python_constraint": true, "duration_s": 79.252, "provider_receipts": [ { "turn": 1, "response_id": "0217853616646425e43bed6e99f957d955d5fe9d616876338df0a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1128, "completion_tokens": 437, "total_tokens": 1565, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853616672845e43bed6e99f957d955d5fe9d6168763f3cb71", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1679, "completion_tokens": 713, "total_tokens": 2392, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853616715075e43bed6e99f957d955d5fe9d6168763b1135f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2138, "completion_tokens": 674, "total_tokens": 2812, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853616753345e43bed6e99f957d955d5fe9d61687633f2d38", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2563, "completion_tokens": 9703, "total_tokens": 12266, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853617226045e43bed6e99f957d955d5fe9d616876364b407", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3034, "completion_tokens": 1290, "total_tokens": 4324, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853617301565e43bed6e99f957d955d5fe9d6168763ffc485", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3453, "completion_tokens": 948, "total_tokens": 4401, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853617352795e43bed6e99f957d955d5fe9d616876390743b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3902, "completion_tokens": 797, "total_tokens": 4699, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853617394285e43bed6e99f957d955d5fe9d6168763799c8f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4364, "completion_tokens": 787, "total_tokens": 5151, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "flip_role-p5-r022", "num": 5, "pred": { "Zoey": "knight", "Sophia": "knave", "Emily": "knave", "Michael": "knave", "Lucas": "knave" }, "gold": { "Zoey": "knight", "Sophia": "knave", "Emily": "knight", "Michael": "knave", "Lucas": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people5_num100.jsonl", "file_sha256": "1429f88b80794e12f731bcd9cd2502384a3c4ac1a3292010103baccd86e93ae7", "row": 22, "dataset_index": 22 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\nvariables = ['Zoey', 'Sophia', 'Emily', 'Michael', 'Lucas']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Zoey的陈述：Sophia是knave或Emily是knave，即Zoey == (Sophia是假或Emily是假)\np.addConstraint(lambda z, s, e: z == (not s or not e), ['Zoey', 'Sophia', 'Emily'])\n\n# Sophia的陈述：如果Emily是knave，那么Lucas是knight，即Sophia == (Emily是假→Lucas是真)，等价于Emily是真或Lucas是真\np.addConstraint(lambda s, e, l: s == (e or l), ['Sophia', 'Emily', 'Lucas'])\n\n# Emily的陈述：Zoey是knight当且仅当Lucas是knight，即Emily == (Zoey == Lucas)\np.addConstraint(lambda e, z, l: e == (z == l), ['Emily', 'Zoey', 'Lucas'])\n\n# Michael的陈述：Sophia是knave且Lucas是knight，即Michael == (Sophia是假且Lucas是真)\np.addConstraint(lambda m, s, l: m == (not s and l), ['Michael', 'Sophia', 'Lucas'])\n\n# Lucas的陈述：如果Sophia是knave，那么Zoey是knave，即Lucas == (Sophia是假→Zoey是假)，等价于Sophia是真或Zoey是假\np.addConstraint(lambda l, s, z: l == (s or not z), ['Lucas', 'Sophia', 'Zoey'])\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n print(result)", "from constraint import Problem\n\np = Problem()\nvariables = ['Zoey', 'Sophia', 'Emily', 'Michael', 'Lucas']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Zoey的陈述：Sophia是knave或Emily是knave，即Zoey == (Sophia是假或Emily是假)\np.addConstraint(lambda z, s, e: z == (not s or not e), ['Zoey', 'Sophia', 'Emily'])\n\n# Sophia的陈述：如果Emily是knave，那么Lucas是knight，即Sophia == (Emily是假→Lucas是真)，等价于Emily是真或Lucas是真\np.addConstraint(lambda s, e, l: s == (e or l), ['Sophia', 'Emily', 'Lucas'])\n\n# Emily的陈述：Zoey是knight当且仅当Lucas是knight，即Emily == (Zoey == Lucas)\np.addConstraint(lambda e, z, l: e == (z == l), ['Emily', 'Zoey', 'Lucas'])\n\n# Michael的陈述：Sophia是knave且Lucas是knight，即Michael == (Sophia是假且Lucas是真)\np.addConstraint(lambda m, s, l: m == (not s and l), ['Michael', 'Sophia', 'Lucas'])\n\n# Lucas的陈述：如果Sophia是knave，那么Zoey是knave，即Lucas == (Sophia是假→Zoey是假)，等价于Sophia是真或Zoey是假\np.addConstraint(lambda l, s, z: l == (s or not z), ['Lucas', 'Sophia', 'Zoey'])\n\nsolutions = p.getSolutions()\n\nresult_dict = {} \nfor sol in solutions:\n result_dict = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nimport json\nprint(json.dumps(result_dict))", "from constraint import Problem\n\np = Problem()\nvariables = ['Zoey', 'Sophia', 'Emily', 'Michael', 'Lucas']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Zoey的陈述：Sophia是knave或Emily是knave，即Zoey == (Sophia是假或Emily是假)\np.addConstraint(lambda z, s, e: z == (not s or not e), ['Zoey', 'Sophia', 'Emily'])\n\n# Sophia的陈述：如果Emily是knave，那么Lucas是knight，即Sophia == (Emily是假→Lucas是真)，等价于Emily是真或Lucas是真\np.addConstraint(lambda s, e, l: s == (e or l), ['Sophia', 'Emily', 'Lucas'])\n\n# Emily的陈述：Zoey是knight当且仅当Lucas是knight，即Emily == (Zoey == Lucas)\np.addConstraint(lambda e, z, l: e == (z == l), ['Emily', 'Zoey', 'Lucas'])\n\n# Michael的陈述：Sophia是knave且Lucas是knight，即Michael == (Sophia是假且Lucas是真)\np.addConstraint(lambda m, s, l: m == (not s and l), ['Michael', 'Sophia', 'Lucas'])\n\n# Lucas的陈述：如果Sophia是knave，那么Zoey是knave，即Lucas == (Sophia是假→Zoey是假)，等价于Sophia是真或Zoey是假\np.addConstraint(lambda l, s, z: l == (s or not z), ['Lucas', 'Sophia', 'Zoey'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nimport json\nprint(json.dumps(result))", "from constraint import Problem\n\np = Problem()\nvariables = ['Zoey', 'Sophia', 'Emily', 'Michael', 'Lucas']\nfor var in variables:\n p.addVariable(var, [True, False])\n\n# Zoey的陈述：Sophia是knave或Emily是knave，即Zoey == (Sophia是假或Emily是假)\np.addConstraint(lambda z, s, e: z == (not s or not e), ['Zoey', 'Sophia', 'Emily'])\n\n# Sophia的陈述：如果Emily是knave，那么Lucas是knight，即Sophia == (Emily是假→Lucas是真)，等价于Emily是真或Lucas是真\np.addConstraint(lambda s, e, l: s == (e or l), ['Sophia', 'Emily', 'Lucas'])\n\n# Emily的陈述：Zoey是knight当且仅当Lucas是knight，即Emily == (Zoey == Lucas)\np.addConstraint(lambda e, z, l: e == (z == l), ['Emily', 'Zoey', 'Lucas'])\n\n# Michael的陈述：Sophia是knave且Lucas是knight，即Michael == (Sophia是假且Lucas是真)\np.addConstraint(lambda m, s, l: m == (not s and l), ['Michael', 'Sophia', 'Lucas'])\n\n# Lucas的陈述：如果Sophia是knave，那么Zoey是knave，即Lucas == (Sophia是假→Zoey是假)，等价于Sophia是真或Zoey是假\np.addConstraint(lambda l, s, z: l == (s or not z), ['Lucas', 'Sophia', 'Zoey'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {k: 'knight' if v else 'knave' for k, v in sol.items()}\n\nimport json\nprint(json.dumps(result))" ], "text": "{\"Zoey\": \"knight\", \"Sophia\": \"knave\", \"Emily\": \"knave\", \"Michael\": \"knave\", \"Lucas\": \"knave\"}", "used_python_constraint": true, "duration_s": 17.144, "provider_receipts": [ { "turn": 1, "response_id": "0217853617439085e43bed6e99f957d955d5fe9d616876345f311", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1147, "completion_tokens": 548, "total_tokens": 1695, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853617473005e43bed6e99f957d955d5fe9d61687638e5f46", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1808, "completion_tokens": 562, "total_tokens": 2370, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853617504885e43bed6e99f957d955d5fe9d61687637b24fd", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2335, "completion_tokens": 566, "total_tokens": 2901, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853617535765e43bed6e99f957d955d5fe9d616876361bae3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2876, "completion_tokens": 562, "total_tokens": 3438, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853617566625e43bed6e99f957d955d5fe9d6168763c4ec6f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3414, "completion_tokens": 657, "total_tokens": 4071, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853617604495e43bed6e99f957d955d5fe9d6168763e6d786", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 3952, "completion_tokens": 74, "total_tokens": 4026, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p5-r073", "num": 5, "pred": { "Isabella": "knave", "Oliver": "knight", "Aiden": "knave", "Penelope": "knave", "Jacob": "knave" }, "gold": { "Isabella": "knight", "Oliver": "knight", "Aiden": "knave", "Penelope": "knight", "Jacob": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people5_num100.jsonl", "file_sha256": "1429f88b80794e12f731bcd9cd2502384a3c4ac1a3292010103baccd86e93ae7", "row": 73, "dataset_index": 73 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Isabella', 'Oliver', 'Aiden', 'Penelope', 'Jacob']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Isabella的陈述：Jacob是骑士或Penelope是骑士\nproblem.addConstraint(lambda isabella, jacob, penelope: isabella == (jacob or penelope), ['Isabella', 'Jacob', 'Penelope'])\n\n# Oliver的陈述：Penelope不是骑士\nproblem.addConstraint(lambda oliver, penelope: oliver == (not penelope), ['Oliver', 'Penelope'])\n\n# Aiden的陈述：Isabella是骑士\nproblem.addConstraint(lambda aiden, isabella: aiden == isabella, ['Aiden', 'Isabella'])\n\n# Penelope的陈述：Aiden是骑士\nproblem.addConstraint(lambda penelope, aiden: penelope == aiden, ['Penelope', 'Aiden'])\n\n# Jacob的陈述：Isabella是骑士且Penelope是无赖\nproblem.addConstraint(lambda jacob, isabella, penelope: jacob == (isabella and not penelope), ['Jacob', 'Isabella', 'Penelope'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n res = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(res)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Isabella', 'Oliver', 'Aiden', 'Penelope', 'Jacob']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Isabella的陈述：Jacob是骑士或Penelope是骑士\nproblem.addConstraint(lambda isabella, jacob, penelope: isabella == (jacob or penelope), ['Isabella', 'Jacob', 'Penelope'])\n\n# Oliver的陈述：Penelope不是骑士\nproblem.addConstraint(lambda oliver, penelope: oliver == (not penelope), ['Oliver', 'Penelope'])\n\n# Aiden的陈述：Isabella是骑士\nproblem.addConstraint(lambda aiden, isabella: aiden == isabella, ['Aiden', 'Isabella'])\n\n# Penelope的陈述：Aiden是骑士\nproblem.addConstraint(lambda penelope, aiden: penelope == aiden, ['Penelope', 'Aiden'])\n\n# Jacob的陈述：Isabella是骑士且Penelope是无赖\nproblem.addConstraint(lambda jacob, isabella, penelope: jacob == (isabella and not penelope), ['Jacob', 'Isabella', 'Penelope'])\n\nsolutions = problem.getSolutions()\n\nresult = []\nfor sol in solutions:\n res = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n result.append(res)\n\nimport json\nprint(json.dumps(result, indent=4))", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Isabella', 'Oliver', 'Aiden', 'Penelope', 'Jacob']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Isabella的陈述：Jacob是骑士或Penelope是骑士\nproblem.addConstraint(lambda isabella, jacob, penelope: isabella == (jacob or penelope), ['Isabella', 'Jacob', 'Penelope'])\n\n# Oliver的陈述：Penelope不是骑士\nproblem.addConstraint(lambda oliver, penelope: oliver == (not penelope), ['Oliver', 'Penelope'])\n\n# Aiden的陈述：Isabella是骑士\nproblem.addConstraint(lambda aiden, isabella: aiden == isabella, ['Aiden', 'Isabella'])\n\n# Penelope的陈述：Aiden是骑士\nproblem.addConstraint(lambda penelope, aiden: penelope == aiden, ['Penelope', 'Aiden'])\n\n# Jacob的陈述：Isabella是骑士且Penelope是无赖\nproblem.addConstraint(lambda jacob, isabella, penelope: jacob == (isabella and not penelope), ['Jacob', 'Isabella', 'Penelope'])\n\nsolutions = problem.getSolutions()\n\nresult = []\nfor sol in solutions:\n res = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n result.append(res)\n\nimport json\nprint(json.dumps(result, indent=4))", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Isabella', 'Oliver', 'Aiden', 'Penelope', 'Jacob']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Isabella的陈述：Jacob是骑士或Penelope是骑士\nproblem.addConstraint(lambda isabella, jacob, penelope: isabella == (jacob or penelope), ['Isabella', 'Jacob', 'Penelope'])\n\n# Oliver的陈述：Penelope不是骑士\nproblem.addConstraint(lambda oliver, penelope: oliver == (not penelope), ['Oliver', 'Penelope'])\n\n# Aiden的陈述：Isabella是骑士\nproblem.addConstraint(lambda aiden, isabella: aiden == isabella, ['Aiden', 'Isabella'])\n\n# Penelope的陈述：Aiden是骑士\nproblem.addConstraint(lambda penelope, aiden: penelope == aiden, ['Penelope', 'Aiden'])\n\n# Jacob的陈述：Isabella是骑士且Penelope是无赖\nproblem.addConstraint(lambda jacob, isabella, penelope: jacob == (isabella and not penelope), ['Jacob', 'Isabella', 'Penelope'])\n\nsolutions = problem.getSolutions()\n\nresult = []\nfor sol in solutions:\n res = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n result.append(res)\n\n# 筛选有效的解，第一个解符合所有约束\nvalid_solution = result[0] if result else {}\n\nimport json\nprint(json.dumps(valid_solution, indent=4))", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Isabella', 'Oliver', 'Aiden', 'Penelope', 'Jacob']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Isabella的陈述：Jacob是骑士或Penelope是骑士\nproblem.addConstraint(lambda isabella, jacob, penelope: isabella == (jacob or penelope), ['Isabella', 'Jacob', 'Penelope'])\n\n# Oliver的陈述：Penelope不是骑士\nproblem.addConstraint(lambda oliver, penelope: oliver == (not penelope), ['Oliver', 'Penelope'])\n\n# Aiden的陈述：Isabella是骑士\nproblem.addConstraint(lambda aiden, isabella: aiden == isabella, ['Aiden', 'Isabella'])\n\n# Penelope的陈述：Aiden是骑士\nproblem.addConstraint(lambda penelope, aiden: penelope == aiden, ['Penelope', 'Aiden'])\n\n# Jacob的陈述：Isabella是骑士且Penelope是无赖\nproblem.addConstraint(lambda jacob, isabella, penelope: jacob == (isabella and not penelope), ['Jacob', 'Isabella', 'Penelope'])\n\nsolutions = problem.getSolutions()\n\nresult = []\nfor sol in solutions:\n res = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n result.append(res)\n\nvalid_solution = result[0] if result else {}\n\nimport json\nprint(json.dumps(valid_solution, indent=4))" ], "text": "{\"Penelope\": \"knave\", \"Isabella\": \"knave\", \"Aiden\": \"knave\", \"Jacob\": \"knave\", \"Oliver\": \"knight\"}", "used_python_constraint": true, "duration_s": 106.68, "provider_receipts": [ { "turn": 1, "response_id": "0217853617610695e43bed6e99f957d955d5fe9d6168763241fd2", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1129, "completion_tokens": 489, "total_tokens": 1618, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853617636995e43bed6e99f957d955d5fe9d616876348b193", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 1732, "completion_tokens": 4454, "total_tokens": 6186, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853617833195e43bed6e99f957d955d5fe9d6168763e9d112", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 2175, "completion_tokens": 9361, "total_tokens": 11536, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853618301535e43bed6e99f957d955d5fe9d61687636d6a83", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2673, "completion_tokens": 5343, "total_tokens": 8016, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853618582975e43bed6e99f957d955d5fe9d61687634f6797", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3170, "completion_tokens": 1124, "total_tokens": 4294, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853618642945e43bed6e99f957d955d5fe9d6168763202215", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3637, "completion_tokens": 488, "total_tokens": 4125, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853618669795e43bed6e99f957d955d5fe9d6168763404e0e", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 4092, "completion_tokens": 112, "total_tokens": 4204, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p6-r039", "num": 6, "pred": { "Scarlett": "knight", "Grace": "knave", "Mason": "knight", "Mia": "knight", "Charlotte": "knave", "Riley": "knight" }, "gold": { "Scarlett": "knave", "Grace": "knave", "Mason": "knight", "Mia": "knave", "Charlotte": "knave", "Riley": "knight" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people6_num100.jsonl", "file_sha256": "ccfee7ea7e2f24376e88193a979a20ac6410ec2458c534af7e4daedab4ff47ff", "row": 39, "dataset_index": 39 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Scarlett', 'Grace', 'Mason', 'Mia', 'Charlotte', 'Riley']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Scarlett的陈述：Mia是knave iff Charlotte是knight\nproblem.addConstraint(lambda s, m, c: s == ((not m) == c), ['Scarlett', 'Mia', 'Charlotte'])\n\n# Grace的陈述：Charlotte是knight且Scarlett是knave\nproblem.addConstraint(lambda g, c, s: g == (c and not s), ['Grace', 'Charlotte', 'Scarlett'])\n\n# Mason的陈述：Mia不是knave\nproblem.addConstraint(lambda m, mi: m == mi, ['Mason', 'Mia'])\n\n# Mia的陈述：Charlotte是knave或Mason是knight\nproblem.addConstraint(lambda mi, c, m: mi == (not c or m), ['Mia', 'Charlotte', 'Mason'])\n\n# Charlotte的陈述：Mia是knave且Scarlett是knave\nproblem.addConstraint(lambda c, mi, s: c == (not mi and not s), ['Charlotte', 'Mia', 'Scarlett'])\n\n# Riley的陈述：Mia是knight或Mason是knave\nproblem.addConstraint(lambda r, mi, m: r == (mi or not m), ['Riley', 'Mia', 'Mason'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Scarlett', 'Grace', 'Mason', 'Mia', 'Charlotte', 'Riley']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Scarlett的陈述：Mia是knave iff Charlotte是knight\nproblem.addConstraint(lambda s, m, c: s == ((not m) == c), ['Scarlett', 'Mia', 'Charlotte'])\n\n# Grace的陈述：Charlotte是knight且Scarlett是knave\nproblem.addConstraint(lambda g, c, s: g == (c and not s), ['Grace', 'Charlotte', 'Scarlett'])\n\n# Mason的陈述：Mia不是knave\nproblem.addConstraint(lambda m, mi: m == mi, ['Mason', 'Mia'])\n\n# Mia的陈述：Charlotte是knave或Mason是knight\nproblem.addConstraint(lambda mi, c, m: mi == (not c or m), ['Mia', 'Charlotte', 'Mason'])\n\n# Charlotte的陈述：Mia是knave且Scarlett是knave\nproblem.addConstraint(lambda c, mi, s: c == (not mi and not s), ['Charlotte', 'Mia', 'Scarlett'])\n\n# Riley的陈述：Mia是knight或Mason是knave\nproblem.addConstraint(lambda r, mi, m: r == (mi or not m), ['Riley', 'Mia', 'Mason'])\n\nsolutions = problem.getSolutions()\n\nresult_dict = {} \nfor sol in solutions:\n result_dict = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nprint(result_dict)" ], "text": "{\"Scarlett\": \"knight\", \"Grace\": \"knave\", \"Mason\": \"knight\", \"Mia\": \"knight\", \"Charlotte\": \"knave\", \"Riley\": \"knight\"}", "used_python_constraint": true, "duration_s": 15.663, "provider_receipts": [ { "turn": 1, "response_id": "0217853618677695e43bed6e99f957d955d5fe9d616876329fd00", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1165, "completion_tokens": 556, "total_tokens": 1721, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853618710295e43bed6e99f957d955d5fe9d6168763b3afd0", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1837, "completion_tokens": 1379, "total_tokens": 3216, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853618776505e43bed6e99f957d955d5fe9d6168763a14d15", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2320, "completion_tokens": 995, "total_tokens": 3315, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853618826535e43bed6e99f957d955d5fe9d6168763af4ee6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2811, "completion_tokens": 110, "total_tokens": 2921, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p6-r062", "num": 6, "pred": null, "gold": { "Lucas": "knave", "Ella": "knight", "James": "knight", "Oliver": "knight", "Sofia": "knave", "Jacob": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people6_num100.jsonl", "file_sha256": "ccfee7ea7e2f24376e88193a979a20ac6410ec2458c534af7e4daedab4ff47ff", "row": 62, "dataset_index": 62 }, "codes": [ "", "from constraint import Problem\n\np = Problem()\n\nresidents = ['Lucas', 'Ella', 'James', 'Oliver', 'Sofia', 'Jacob']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Lucas 说 Ella 不是 knave，即 Ella 是骑士，所以 Lucas == Ella\ndef lucas_constr(lucas, ella):\n return lucas == ella\np.addConstraint(lucas_constr, ['Lucas', 'Ella'])\n\n# Ella 说 Ella 是 knave当且仅当 Jacob是骑士，即 (not ella) == jacob\ndef ella_constr(ella, jacob):\n return (not ella) == jacob\np.addConstraint(ella_constr, ['Ella', 'Jacob'])\n\n# James 说 Sofia是骑士当且仅当 Oliver是 knave，即 sofia == (not oliver)\ndef james_constr(james, sofia, oliver):\n return james == (sofia == not oliver)\np.addConstraint(james_constr, ['James', 'Sofia', 'Oliver'])\n\n# Oliver 说 James是 knave，即 oliver == (not james)\ndef oliver_constr(oliver, james):\n return oliver == (not james)\np.addConstraint(oliver_constr, ['Oliver', 'James'])\n\n# Sofia 说如果Jacob是骑士那么Lucas是 knave，即 (jacob implies not lucas) <=> not jacob or not lucas，所以 sofia == (not jacob or not lucas)\ndef sofia_constr(sofia, jacob, lucas):\n return sofia == (not jacob or not lucas)\np.addConstraint(sofia_constr, ['Sofia', 'Jacob', 'Lucas'])\n\n# Jacob 说 James是 knave当且仅当 Ella是骑士，即 (not james) == ella\ndef jacob_constr(jacob, james, ella):\n return jacob == (not james == ella)\np.addConstraint(jacob_constr, ['Jacob', 'James', 'Ella'])\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n res = {k:'knight' if v else 'knave' for k,v in sol.items()}\n print(res)", "from constraint import Problem\n\np = Problem()\n\nresidents = ['Lucas', 'Ella', 'James', 'Oliver', 'Sofia', 'Jacob']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Lucas 说 Ella 不是 knave，即 Ella 是骑士，所以 Lucas == Ella\ndef lucas_constr(lucas, ella):\n return lucas == ella\np.addConstraint(lucas_constr, ['Lucas', 'Ella'])\n\n# Ella 说 Ella 是 knave当且仅当 Jacob是骑士，即 (not ella) == jacob\ndef ella_constr(ella, jacob):\n return (not ella) == jacob\np.addConstraint(ella_constr, ['Ella', 'Jacob'])\n\n# James 说 Sofia是骑士当且仅当 Oliver是 knave，即 sofia == (not oliver)\ndef james_constraint(james, sofia, oliver):\n return james == (sofia == (not oliver))\np.addConstraint(james_constraint, ['James', 'Sofia', 'Oliver'])\n\n# Oliver 说 James是 knave，即 oliver == (not james)\ndef oliver_constr(oliver, james):\n return oliver == (not james)\np.addConstraint(oliver_constr, ['Oliver', 'James'])\n\n# Sofia 说如果Jacob是骑士那么Lucas是 knave，即 (jacob implies not lucas) <=> not jacob or not lucas，所以 sofia == (not jacob or not lucas)\ndef sofia_constr(sofia, jacob, lucas):\n return sofia == (not jacob or not lucas)\np.addConstraint(sofia_constr, ['Sofia', 'Jacob', 'Lucas'])\n\n# Jacob 说 James是 knave当且仅当 Ella是骑士，即 (not james) == ella\ndef jacob_constraint(jacob, james, ella):\n return jacob == (not james == ella)\np.addConstraint(jacob_constraint, ['Jacob', 'James', 'Ella'])\n\nsolutions = p.getSolutions()\n\nfor sol in solutions:\n res = {k:'knight' if v else 'knave' for k,v in sol.items()}\n print(res)", "from constraint import Problem\n\np = Problem()\n\nresidents = ['Lucas', 'Ella', 'James', 'Oliver', 'Sofia', 'Jacob']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Lucas 说 Ella 不是 knave，即 Ella 是骑士，所以 Lucas == Ella\ndef lucas_constraint(lucas, ella):\n return lucas == ella\np.addConstraint(lucas_constraint, ['Lucas', 'Ella'])\n\n# Ella 说 Ella 是 knave当且仅当 Jacob是骑士，即 (not ella) == jacob\ndef ella_constraint(ella, jacob):\n return (not ella) == jacob\np.addConstraint(ella_constraint, ['Ella', 'Jacob'])\n\n# James 说 Sofia是骑士当且仅当 Oliver是 knave，即 sofia == (not oliver)\ndef james_constraint(james, sofia, oliver):\n return james == (sofia == (not oliver))\np.addConstraint(james_constraint, ['James', 'Sofia', 'Oliver'])\n\n# Oliver 说 James是 knave，即 oliver == (not james)\ndef oliver_constraint(oliver, james):\n return oliver == (not james)\np.addConstraint(oliver_constraint, ['Oliver', 'James'])\n\n# Sofia 说如果Jacob是骑士那么Lucas是 knave，即 (jacob implies not lucas) <=> not jacob or not lucas，所以 sofia == (not jacob or not lucas)\ndef sofia_constraint(sofia, jacob, lucas):\n return sofia == (not jacob or not lucas)\np.addConstraint(sofia_constraint, ['Sofia', 'Jacob', 'Lucas'])\n\n# Jacob 说 James是 knave当且仅当 Ella是骑士，即 (not james) == ella\ndef jacob_constraint(jacob, james, ella):\n return jacob == (not james == ella)\np.addConstraint(jacob_constraint, ['Jacob', 'James', 'Ella'])\n\nsolutions = p.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nprint(final_result)", "from constraint import Problem\n\np = Problem()\n\nresidents = ['Lucas', 'Ella', 'James', 'Oliver', 'Sofia', 'Jacob']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Lucas 说 Ella 不是 knave，即 Ella 是骑士，所以 Lucas == Ella\ndef lucas_constraint(lucas, ella):\n return lucas == ella\np.addConstraint(lucas_constraint, ['Lucas', 'Ella'])\n\n# Ella 说 Ella 是 knave当且仅当 Jacob是骑士，即 (not ella) == jacob\ndef ella_constraint(ella, jacob):\n return (not ella) == jacob\np.addConstraint(ella_constraint, ['Ella', 'Jacob'])\n\n# James 说 Sofia是骑士当且仅当 Oliver是 knave，即 sofia == (not oliver)\ndef james_constraint(james, sofia, oliver):\n return james == (sofia == (not oliver))\np.addConstraint(james_constraint, ['James', 'Sofia', 'Oliver'])\n\n# Oliver 说 James是 knave，即 oliver == (not james)\ndef oliver_constraint(oliver, james):\n return oliver == (not james)\np.addConstraint(oliver_constraint, ['Oliver', 'James'])\n\n# Sofia 说如果Jacob是骑士那么Lucas是 knave，即 (jacob implies not lucas) <=> not jacob or not lucas，所以 sofia == (not jacob or not lucas)\ndef sofia_constraint(sofia, jacob, lucas):\n return sofia == (not jacob or not lucas)\np.addConstraint(sofia_constraint, ['Sofia', 'Jacob', 'Lucas'])\n\n# Jacob 说 James是 knave当且仅当 Ella是骑士，即 (not james) == ella\ndef jacob_constraint(jacob, james, ella):\n return jacob == (not james == ella)\np.addConstraint(jacob_constraint, ['Jacob', 'James', 'Ella'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n\nresidents = ['Lucas', 'Ella', 'James', 'Oliver', 'Sofia', 'Jacob']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Lucas 说 Ella 不是 knave，即 Ella 是骑士，所以 Lucas == Ella\ndef lucas_constraint(lucas, ella):\n return lucas == ella\np.addConstraint(lucas_constraint, ['Lucas', 'Ella'])\n\n# Ella 说 Ella 是 knave当且仅当 Jacob是骑士，即 (not ella) == jacob\ndef ella_constraint(ella, jacob):\n return (not ella) == jacob\np.addConstraint(ella_constraint, ['Ella', 'Jacob'])\n\n# James 说 Sofia是骑士当且仅当 Oliver是 knave，即 sofia == (not oliver)\ndef james_constraint(james, sofia, oliver):\n return james == (sofia == (not oliver))\np.addConstraint(james_constraint, ['James', 'Sofia', 'Oliver'])\n\n# Oliver 说 James是 knave，即 oliver == (not james)\ndef oliver_constraint(oliver, james):\n return oliver == (not james)\np.addConstraint(oliver_constraint, ['Oliver', 'James'])\n\n# Sofia 说如果Jacob是骑士那么Lucas是 knave，即 (jacob implies not lucas) <=> not jacob or not lucas，所以 sofia == (not jacob or not lucas)\ndef sofia_constraint(sofia, jacob, lucas):\n return sofia == (not jacob or not lucas)\np.addConstraint(sofia_constraint, ['Sofia', 'Jacob', 'Lucas'])\n\n# Jacob 说 James是 knave当且仅当 Ella是骑士，即 (not james) == ella\ndef jacob_constraint(jacob, james, ella):\n return jacob == (not james == ella)\np.addConstraint(jacob_constraint, ['Jacob', 'James', 'Ella'])\n\nsolutions = p.getSolutions()\n\nfinal_output = {} \nfor sol in solutions:\n final_output = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nprint(final_output)", "from constraint import Problem\n\np = Problem()\n\nresidents = ['Lucas', 'Ella', 'James', 'Oliver', 'Sofia', 'Jacob']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Lucas 说 Ella 不是 knave，即 Ella 是骑士，所以 Lucas == Ella\ndef lucas_constraint(lucas, ella):\n return lucas == ella\np.addConstraint(lucas_constraint, ['Lucas', 'Ella'])\n\n# Ella 说 Ella 是 knave当且仅当 Jacob是骑士，即 (not ella) == jacob\ndef ella_constraint(ella, jacob):\n return (not ella) == jacob\np.addConstraint(ella_constraint, ['Ella', 'Jacob'])\n\n# James 说 Sofia是骑士当且仅当 Oliver是 knave，即 sofia == (not oliver)\ndef james_constraint(james, sofia, oliver):\n return james == (sofia == (not oliver))\np.addConstraint(james_constraint, ['James', 'Sofia', 'Oliver'])\n\n# Oliver 说 James是 knave，即 oliver == (not james)\ndef oliver_constraint(oliver, james):\n return oliver == (not james)\np.addConstraint(oliver_constraint, ['Oliver', 'James'])\n\n# Sofia 说如果Jacob是骑士那么Lucas是 knave，即 (jacob implies not lucas) <=> not jacob or not lucas，所以 sofia == (not jacob or not lucas)\ndef sofia_constraint(sofia, jacob, lucas):\n return sofia == (not jacob or not lucas)\np.addConstraint(sofia_constraint, ['Sofia', 'Jacob', 'Lucas'])\n\n# Jacob 说 James是 knave当且仅当 Ella是骑士，即 (not james) == ella\ndef jacob_constraint(jacob, james, ella):\n return jacob == (not james == ella)\np.addConstraint(jacob_constraint, ['Jacob', 'James', 'Ella'])\n\nsolutions = p.getSolutions()\n\nresult = {} \nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nprint(result)", "from constraint import Problem\n\np = Problem()\n\nresidents = ['Lucas', 'Ella', 'James', 'Oliver', 'Sofia', 'Jacob']\nfor name in residents:\n p.addVariable(name, [True, False])\n\n# Lucas 说 Ella 不是 knave，即 Ella 是骑士，所以 Lucas == Ella\ndef lucas_constraint(lucas, ella):\n return lucas == ella\np.addConstraint(lucas_constraint, ['Lucas', 'Ella'])\n\n# Ella 说 Ella 是 knave当且仅当 Jacob是骑士，即 (not ella) == jacob\ndef ella_constraint(ella, jacob):\n return (not ella) == jacob\np.addConstraint(ella_constraint, ['Ella', 'Jacob'])\n\n# James 说 Sofia是骑士当且仅当 Oliver是 knave，即 sofia == (not oliver)\ndef james_constraint(james, sofia, oliver):\n return james == (sofia == (not oliver))\np.addConstraint(james_constraint, ['James', 'Sofia', 'Oliver'])\n\n# Oliver 说 James是 knave，即 oliver == (not james)\ndef oliver_constraint(oliver, james):\n return oliver == (not james)\np.addConstraint(oliver_constraint, ['Oliver', 'James'])\n\n# Sofia 说如果Jacob是骑士那么Lucas是 knave，即 (jacob implies not lucas) <=> not jacob or not lucas，所以 sofia == (not jacob or not lucas)\ndef sofia_constraint(sofia, jacob, lucas):\n return sofia == (not jacob or not lucas)\np.addConstraint(sofia_constraint, ['Sofia', 'Jacob', 'Lucas'])\n\n# Jacob 说 James是 knave当且仅当 Ella是骑士，即 (not james) == ella\ndef jacob_constraint(jacob, james, ella):\n return jacob == (not james == ella)\np.addConstraint(jacob_constraint, ['Jacob', 'James', 'Ella'])\n\nsolutions = p.getSolutions()\n\nfinal_result = {} \nfor sol in solutions:\n final_result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 47.982, "provider_receipts": [ { "turn": 1, "response_id": "0217853618834495e43bed6e99f957d955d5fe9d6168763a657e8", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1160, "completion_tokens": 636, "total_tokens": 1796, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853618868315e43bed6e99f957d955d5fe9d6168763c1b155", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1902, "completion_tokens": 669, "total_tokens": 2571, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853618903925e43bed6e99f957d955d5fe9d6168763374756", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2560, "completion_tokens": 939, "total_tokens": 3499, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853618953695e43bed6e99f957d955d5fe9d616876331a9c4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 3238, "completion_tokens": 4372, "total_tokens": 7610, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853619161385e43bed6e99f957d955d5fe9d6168763a992a5", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3880, "completion_tokens": 707, "total_tokens": 4587, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853619195415e43bed6e99f957d955d5fe9d61687631c722c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4518, "completion_tokens": 708, "total_tokens": 5226, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853619233975e43bed6e99f957d955d5fe9d6168763c6829c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5159, "completion_tokens": 685, "total_tokens": 5844, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853619275545e43bed6e99f957d955d5fe9d6168763de24d3", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5797, "completion_tokens": 703, "total_tokens": 6500, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "flip_role-p7-r001", "num": 7, "pred": null, "gold": { "Isabella": "knight", "Mason": "knave", "Ella": "knave", "Harper": "knight", "Daniel": "knight", "David": "knight", "Michael": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people7_num100.jsonl", "file_sha256": "b5720e5a434747f323f90086ac6bae7ba33d1b6ba8d617424f599bfabdbcdeca", "row": 1, "dataset_index": 1 }, "codes": [ "", "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Isabella', 'Mason', 'Ella', 'Harper', 'Daniel', 'David', 'Michael']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Isabella说：David是个无赖 -> Isabella == (David是无赖) -> Isabella == (not David)\nproblem.addConstraint(lambda isabella, david: isabella == (not david), ['Isabella', 'David'])\n\n# Mason说：Daniel不是无赖 -> Mason == (Daniel不是无赖) -> Mason == Daniel\nproblem.addConstraint(lambda mason, daniel: mason == daniel, ['Mason', 'Daniel'])\n\n# Ella说：Mason不是骑士 -> Ella == (Mason不是骑士) -> Ella == (not mason)\nproblem.addConstraint(lambda ella, mason: ella == (not mason), ['Ella', 'Mason'])\n\n# Harper说：Daniel是无赖且David是无赖 -> Harper == (Daniel是无赖 and David是无赖) -> Harper == (not daniel and not david)\nproblem.addConstraint(lambda harper, daniel, david: harper == (not daniel and not david), ['Harper', 'Daniel', 'David'])\n\n# Daniel说：David是无赖或者David是骑士 -> 因为“David是无赖或者David是骑士”是永真式，所以Daniel的话恒真，所以Daniel == True\nproblem.addConstraint(lambda daniel: daniel == True, ['Daniel'])\n\n# David说：Ella是无赖当且仅当Daniel是骑士 -> David == (Ella是无赖 <-> Daniel是骑士) -> David == (not ella == daniel)\nproblem.addConstraint(lambda david, ella, daniel: david == (not ella == daniel), ['David', 'Ella', 'Daniel'])\n\n# Michael说：如果Harper是无赖，那么Daniel是骑士 -> Michael == (Harper是无赖 -> Daniel是骑士) -> Michael == (not harper or daniel)\nproblem.addConstraint(lambda michael, harper, daniel: michael == (not harper or daniel), ['Michael', 'Harper', 'Daniel'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Isabella', 'Mason', 'Ella', 'Harper', 'Daniel', 'David', 'Michael']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Isabella说：David是个无赖 -> Isabella == (David是无赖) -> Isabella == (not David)\nproblem.addConstraint(lambda isabella, david: isabella == (not david), ['Isabella', 'David'])\n\n# Mason说：Daniel不是无赖 -> Mason == (Daniel不是无赖) -> Mason == Daniel\nproblem.addConstraint(lambda mason, daniel: mason == daniel, ['Mason', 'Daniel'])\n\n# Ella说：Mason不是骑士 -> Ella == (Mason不是骑士) -> Ella == (not mason)\nproblem.addConstraint(lambda ella, mason: ella == (not mason), ['Ella', 'Mason'])\n\n# Harper说：Daniel是无赖且David是无赖 -> Harper == (Daniel是无赖 and David是无赖) -> Harper == (not daniel and not david)\nproblem.addConstraint(lambda harper, daniel, david: harper == (not daniel and not david), ['Harper', 'Daniel', 'David'])\n\n# Daniel说：David是无赖或者David是骑士 -> 因为“David是无赖或者David是骑士”是永真式，所以Daniel的话恒真，所以Daniel == True\nproblem.addConstraint(lambda daniel: daniel == True, ['Daniel'])\n\n# David说：Ella是无赖当且仅当Daniel是骑士 -> David == (Ella是无赖 <-> Daniel是骑士) -> David == (not ella == daniel)\nproblem.addConstraint(lambda david, ella, daniel: david == (not ella == daniel), ['David', 'Ella', 'Daniel'])\n\n# Michael说：如果Harper是无赖，那么Daniel是骑士 -> Michael == (Harper是无赖 -> Daniel是骑士) -> Michael == (not harper or daniel)\nproblem.addConstraint(lambda michael, harper, daniel: michael == (not harper or daniel), ['Michael', 'Harper', 'Daniel'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor sol in solutions:\n for name, val in sol.items():\n final_result[name] = 'knight' if val else 'knave'\nprint(final_result)", "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Isabella', 'Mason', 'Ella', 'Harper', 'Daniel', 'David', 'Michael']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Isabella说：David是个无赖 -> Isabella == (David是无赖) -> Isabella == (not David)\nproblem.addConstraint(lambda isabella, david: isabella == (not david), ['Isabella', 'David'])\n\n# Mason说：Daniel不是无赖 -> Mason == (Daniel不是无赖) -> Mason == Daniel\nproblem.addConstraint(lambda mason, daniel: mason == daniel, ['Mason', 'Daniel'])\n\n# Ella说：Mason不是骑士 -> Ella == (Mason不是骑士) -> Ella == (not mason)\nproblem.addConstraint(lambda ella, mason: ella == (not mason), ['Ella', 'Mason'])\n\n# Harper说：Daniel是无赖且David是无赖 -> Harper == (Daniel是无赖 and David是无赖) -> Harper == (not daniel and not david)\nproblem.addConstraint(lambda harper, daniel, david: harper == (not daniel and not david), ['Harper', 'Daniel', 'David'])\n\n# Daniel说：David是无赖或者David是骑士 -> 因为“David是无赖或者David是骑士”是永真式，所以Daniel的话恒真，所以Daniel == True\nproblem.addConstraint(lambda daniel: daniel == True, ['Daniel'])\n\n# David说：Ella是无赖当且仅当Daniel是骑士 -> David == (Ella是无赖 <-> Daniel是骑士) -> David == (not ella == daniel)\nproblem.addConstraint(lambda david, ella, daniel: david == (not ella == daniel), ['David', 'Ella', 'Daniel'])\n\n# Michael说：如果Harper是无赖，那么Daniel是骑士 -> Michael == (Harper是无赖 -> Daniel是骑士) -> Michael == (not harper or daniel)\nproblem.addConstraint(lambda michael, harper, daniel: michael == (not harper or daniel), ['Michael', 'Harper', 'Daniel'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor sol in solutions:\n for name, val in sol.items():\n final_result[name] = 'knight' if val else 'knave'\nprint(final_result)", "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Isabella', 'Mason', 'Ella', 'Harper', 'Daniel', 'David', 'Michael']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Isabella说：David是个无赖 -> Isabella == (David是无赖) -> Isabella == (not David)\nproblem.addConstraint(lambda isabella, david: isabella == (not david), ['Isabella', 'David'])\n\n# Mason说：Daniel不是无赖 -> Mason == (Daniel不是无赖) -> Mason == Daniel\nproblem.addConstraint(lambda mason, daniel: mason == daniel, ['Mason', 'Daniel'])\n\n# Ella说：Mason不是骑士 -> Ella == (Mason不是骑士) -> Ella == (not mason)\nproblem.addConstraint(lambda ella, mason: ella == (not mason), ['Ella', 'Mason'])\n\n# Harper说：Daniel是无赖且David是无赖 -> Harper == (Daniel是无赖 and David是无赖) -> Harper == (not daniel and not david)\nproblem.addConstraint(lambda harper, daniel, david: harper == (not daniel and not david), ['Harper', 'Daniel', 'David'])\n\n# Daniel说：David是无赖或者David是骑士 -> 因为“David是无赖或者David是骑士”是永真式，所以Daniel的话恒真，所以Daniel == True\nproblem.addConstraint(lambda daniel: daniel == True, ['Daniel'])\n\n# David说：Ella是无赖当且仅当Daniel是骑士 -> David == (Ella是无赖 <-> Daniel是骑士) -> David == (not ella == daniel)\nproblem.addConstraint(lambda david, ella, daniel: david == (not ella == daniel), ['David', 'Ella', 'Daniel'])\n\n# Michael说：如果Harper是无赖，那么Daniel是骑士 -> Michael == (Harper是无赖 -> Daniel是骑士) -> Michael == (not harper or daniel)\nproblem.addConstraint(lambda michael, harper, daniel: michael == (not harper or daniel), ['Michael', 'Harper', 'Daniel'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor sol in solutions:\n for name, val in sol.items():\n final_result[name] = 'knight' if val else 'knave'\nprint(final_result)", "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Isabella', 'Mason', 'Ella', 'Harper', 'Daniel', 'David', 'Michael']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Isabella说：David是个无赖 -> Isabella == (David是无赖) -> Isabella == (not David)\nproblem.addConstraint(lambda isabella, david: isabella == (not david), ['Isabella', 'David'])\n\n# Mason说：Daniel不是无赖 -> Mason == (Daniel不是无赖) -> Mason == Daniel\nproblem.addConstraint(lambda mason, daniel: mason == daniel, ['Mason', 'Daniel'])\n\n# Ella说：Mason不是骑士 -> Ella == (Mason不是骑士) -> Ella == (not mason)\nproblem.addConstraint(lambda ella, mason: ella == (not mason), ['Ella', 'Mason'])\n\n# Harper说：Daniel是无赖且David是无赖 -> Harper == (Daniel是无赖 and David是无赖) -> Harper == (not daniel and not david)\nproblem.addConstraint(lambda harper, daniel, david: harper == (not daniel and not david), ['Harper', 'Daniel', 'David'])\n\n# Daniel说：David是无赖或者David是骑士 -> 因为“David是无赖或者David是骑士”是永真式，所以Daniel的话恒真，所以Daniel == True\nproblem.addConstraint(lambda daniel: daniel == True, ['Daniel'])\n\n# David说：Ella是无赖当且仅当Daniel是骑士 -> David == (Ella是无赖 <-> Daniel是骑士) -> David == (not ella == daniel)\nproblem.addConstraint(lambda david, ella, daniel: david == (not ella == daniel), ['David', 'Ella', 'Daniel'])\n\n# Michael说：如果Harper是无赖，那么Daniel是骑士 -> Michael == (Harper是无赖 -> Daniel是骑士) -> Michael == (not harper or daniel)\nproblem.addConstraint(lambda michael, harper, daniel: michael == (not harper or daniel), ['Michael', 'Harper', 'Daniel'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor sol in solutions:\n for name, val in sol.items():\n final_result[name] = 'knight' if val else 'knave'\nprint(final_result)", "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Isabella', 'Mason', 'Ella', 'Harper', 'Daniel', 'David', 'Michael']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Isabella说：David是个无赖 -> Isabella == (David是无赖) -> Isabella == (not David)\nproblem.addConstraint(lambda isabella, david: isabella == (not david), ['Isabella', 'David'])\n\n# Mason说：Daniel不是无赖 -> Mason == (Daniel不是无赖) -> Mason == Daniel\nproblem.addConstraint(lambda mason, daniel: mason == daniel, ['Mason', 'Daniel'])\n\n# Ella说：Mason不是骑士 -> Ella == (Mason不是骑士) -> Ella == (not mason)\nproblem.addConstraint(lambda ella, mason: ella == (not mason), ['Ella', 'Mason'])\n\n# Harper说：Daniel是无赖且David是无赖 -> Harper == (Daniel是无赖 and David是无赖) -> Harper == (not daniel and not david)\nproblem.addConstraint(lambda harper, daniel, david: harper == (not daniel and not david), ['Harper', 'Daniel', 'David'])\n\n# Daniel说：David是无赖或者David是骑士 -> 因为“David是无赖或者David是骑士”是永真式，所以Daniel的话恒真，所以Daniel == True\nproblem.addConstraint(lambda daniel: daniel == True, ['Daniel'])\n\n# David说：Ella是无赖当且仅当Daniel是骑士 -> David == (Ella是无赖 <-> Daniel是骑士) -> David == (not ella == daniel)\nproblem.addConstraint(lambda david, ella, daniel: david == (not ella == daniel), ['David', 'Ella', 'Daniel'])\n\n# Michael说：如果Harper是无赖，那么Daniel是骑士 -> Michael == (Harper是无赖 -> Daniel是骑士) -> Michael == (not harper or daniel)\nproblem.addConstraint(lambda michael, harper, daniel: michael == (not harper or daniel), ['Michael', 'Harper', 'Daniel'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor sol in solutions:\n for name, val in sol.items():\n final_result[name] = 'knight' if val else 'knave'\nprint(final_result)", "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Isabella', 'Mason', 'Ella', 'Harper', 'Daniel', 'David', 'Michael']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Isabella说：David是个无赖 -> Isabella == (David是无赖) -> Isabella == (not David)\nproblem.addConstraint(lambda isabella, david: isabella == (not david), ['Isabella', 'David'])\n\n# Mason说：Daniel不是无赖 -> Mason == (Daniel不是无赖) -> Mason == Daniel\nproblem.addConstraint(lambda mason, daniel: mason == daniel, ['Mason', 'Daniel'])\n\n# Ella说：Mason不是骑士 -> Ella == (Mason不是骑士) -> Ella == (not mason)\nproblem.addConstraint(lambda ella, mason: ella == (not mason), ['Ella', 'Mason'])\n\n# Harper说：Daniel是无赖且David是无赖 -> Harper == (Daniel是无赖 and David是无赖) -> Harper == (not daniel and not david)\nproblem.addConstraint(lambda harper, daniel, david: harper == (not daniel and not david), ['Harper', 'Daniel', 'David'])\n\n# Daniel说：David是无赖或者David是骑士 -> 因为“David是无赖或者David是骑士”是永真式，所以Daniel的话恒真，所以Daniel == True\nproblem.addConstraint(lambda daniel: daniel == True, ['Daniel'])\n\n# David说：Ella是无赖当且仅当Daniel是骑士 -> David == (Ella是无赖 <-> Daniel是骑士) -> David == (not ella == daniel)\nproblem.addConstraint(lambda david, ella, daniel: david == (not ella == daniel), ['David', 'Ella', 'Daniel'])\n\n# Michael说：如果Harper是无赖，那么Daniel是骑士 -> Michael == (Harper是无赖 -> Daniel是骑士) -> Michael == (not harper or daniel)\nproblem.addConstraint(lambda michael, harper, daniel: michael == (not harper or daniel), ['Michael', 'Harper', 'Daniel'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfinal_result = {} \nfor sol in solutions:\n for name, val in sol.items():\n final_result[name] = 'knight' if val else 'knave'\nprint(final_result)" ], "text": "", "used_python_constraint": true, "duration_s": 32.673, "provider_receipts": [ { "turn": 1, "response_id": "0217853619314455e43bed6e99f957d955d5fe9d6168763ecfcf6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1167, "completion_tokens": 607, "total_tokens": 1774, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853619354205e43bed6e99f957d955d5fe9d6168763c8368d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1887, "completion_tokens": 708, "total_tokens": 2595, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853619393415e43bed6e99f957d955d5fe9d61687639ffb5f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2553, "completion_tokens": 695, "total_tokens": 3248, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853619434825e43bed6e99f957d955d5fe9d61687633a5efa", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3227, "completion_tokens": 697, "total_tokens": 3924, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853619475395e43bed6e99f957d955d5fe9d616876342b11c", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3901, "completion_tokens": 701, "total_tokens": 4602, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853619517475e43bed6e99f957d955d5fe9d6168763435e2d", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4575, "completion_tokens": 740, "total_tokens": 5315, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853619559245e43bed6e99f957d955d5fe9d61687635f4cac", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5249, "completion_tokens": 700, "total_tokens": 5949, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853619596985e43bed6e99f957d955d5fe9d61687634e1106", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5923, "completion_tokens": 704, "total_tokens": 6627, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "flip_role-p7-r091", "num": 7, "pred": { "Olivia": "knave", "Charlotte": "knight", "Aiden": "knave", "Avery": "knave", "Luke": "knave", "Harper": "knight", "Sofia": "knight" }, "gold": { "Olivia": "knight", "Charlotte": "knave", "Aiden": "knight", "Avery": "knave", "Luke": "knight", "Harper": "knight", "Sofia": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people7_num100.jsonl", "file_sha256": "b5720e5a434747f323f90086ac6bae7ba33d1b6ba8d617424f599bfabdbcdeca", "row": 91, "dataset_index": 91 }, "codes": [ "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Olivia', 'Charlotte', 'Aiden', 'Avery', 'Luke', 'Harper', 'Sofia']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Olivia说：\"Sofia是骑士且Harper是无赖\" -> Olivia == (Sofia and not Harper)\nproblem.addConstraint(lambda o, s, h: o == (s and not h), ['Olivia', 'Sofia', 'Harper'])\n\n# Charlotte说：\"Sofia是骑士且Harper是骑士\" -> Charlotte == (s and h)\nproblem.addConstraint(lambda c, s, h: c == (s and h), ['Charlotte', 'Sofia', 'Harper'])\n\n# Aiden说：\"如果Sofia是无赖，那么Charlotte是无赖\" -> Aiden == (not s or not c)\nproblem.addConstraint(lambda a, s, c: a == (not s or not c), ['Aiden', 'Sofia', 'Charlotte'])\n\n# Avery说：\"Olivia不是无赖\" -> Avery == (not not o) 即 Avery == o\nproblem.addConstraint(lambda av, o: av == o, ['Avery', 'Olivia'])\n\n# Luke说：\"Harper是无赖\" -> Luke == (not h)\nproblem.addConstraint(lambda l, h: l == (not h), ['Luke', 'Harper'])\n\n# Harper说：\"Avery是无赖或者Aiden是无赖\" -> Harper == (not av or not a)\nproblem.addConstraint(lambda h, av, a: h == (not av or not a), ['Harper', 'Avery', 'Aiden'])\n\n# Sofia说：\"Harper是骑士且Avery是无赖\" -> Sofia == (h and not av)\nproblem.addConstraint(lambda s, h, av: s == (h and not av), ['Sofia', 'Harper', 'Avery'])\n\n# 寻找所有满足约束的解\nsolutions = problem.getSolutions()\n\n# 格式化输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)\n", "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Olivia', 'Charlotte', 'Aiden', 'Avery', 'Luke', 'Harper', 'Sofia']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 解析每个人的陈述并添加约束\n# Olivia说：\"Sofia是骑士且Harper是无赖\" -> Olivia == (Sofia and not Harper)\nproblem.addConstraint(lambda o, s, h: o == (s and not h), ['Olivia', 'Sofia', 'Harper'])\n\n# Charlotte说：\"Sofia是骑士且Harper是骑士\" -> Charlotte == (s and h)\nproblem.addConstraint(lambda c, s, h: c == (s and h), ['Charlotte', 'Sofia', 'Harper'])\n\n# Aiden说：\"如果Sofia是无赖，那么Charlotte是无赖\" -> Aiden == (not s or not c)\nproblem.addConstraint(lambda a, s, c: a == (not s or not c), ['Aiden', 'Sofia', 'Charlotte'])\n\n# Avery说：\"Olivia不是无赖\" -> Avery == (not not o) 即 Avery == o\nproblem.addConstraint(lambda av, o: av == o, ['Avery', 'Olivia'])\n\n# Luke说：\"Harper是无赖\" -> Luke == (not h)\nproblem.addConstraint(lambda l, h: l == (not h), ['Luke', 'Harper'])\n\n# Harper说：\"Avery是无赖或者Aiden是无赖\" -> Harper == (not av or not a)\nproblem.addConstraint(lambda h, av, a: h == (not av or not a), ['Harper', 'Avery', 'Aiden'])\n\n# Sofia说：\"Harper是骑士且Avery是无赖\" -> Sofia == (h and not av)\nproblem.addConstraint(lambda s, h, av: s == (h and not av), ['Sofia', 'Harper', 'Avery'])\n\n# 寻找所有满足约束的解\nsolutions = problem.getSolutions()\n\n# 格式化输出结果\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)\n", "# 无需再次执行，直接根据已有结果构造答案\nfinal_result = {\"Olivia\": \"knave\", \"Charlotte\": \"knight\", \"Aiden\": \"knave\", \"Avery\": \"knave\", \"Luke\": \"knave\", \"Harper\": \"knight\", \"Sofia\": \"knight\"}\nprint(final_result)", "final_result = {\"Olivia\": \"knave\", \"Charlotte\": \"knight\", \"Aiden\": \"knave\", \"Avery\": \"knave\", \"Luke\": \"knave\", \"Harper\": \"knight\", \"Sofia\": \"knight\"}\nprint(final_result)" ], "text": "{\"Olivia\": \"knave\", \"Charlotte\": \"knight\", \"Aiden\": \"knave\", \"Avery\": \"knave\", \"Luke\": \"knave\", \"Harper\": \"knight\", \"Sofia\": \"knight\"}", "used_python_constraint": true, "duration_s": 10.377, "provider_receipts": [ { "turn": 1, "response_id": "0217853619641315e43bed6e99f957d955d5fe9d616876347b5e4", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1172, "completion_tokens": 555, "total_tokens": 1727, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853619677345e43bed6e99f957d955d5fe9d61687634e4a66", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1855, "completion_tokens": 660, "total_tokens": 2515, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853619713105e43bed6e99f957d955d5fe9d6168763a0f7f1", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2497, "completion_tokens": 193, "total_tokens": 2690, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853619726355e43bed6e99f957d955d5fe9d61687638504dd", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2674, "completion_tokens": 186, "total_tokens": 2860, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853619738075e43bed6e99f957d955d5fe9d61687631f7105", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2839, "completion_tokens": 95, "total_tokens": 2934, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null }, { "id": "flip_role-p8-r064", "num": 8, "pred": null, "gold": { "Oliver": "knight", "Jacob": "knight", "Amelia": "knight", "Harper": "knight", "Mia": "knave", "William": "knight", "Elizabeth": "knight", "Ella": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people8_num100.jsonl", "file_sha256": "d668973f128b119ad065e0b58f33099516dbd801f0e7957c00e876115e8119dc", "row": 64, "dataset_index": 64 }, "codes": [ "", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Oliver', 'Jacob', 'Amelia', 'Harper', 'Mia', 'William', 'Elizabeth', 'Ella']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 奥利弗说：如果雅各布是骑士，那么米娅是无赖\nproblem.addConstraint(lambda oliver, jacob, mia: oliver == (not jacob or not mia), ['Oliver', 'Jacob', 'Mia'])\n\n# 雅各布说：哈珀是无赖或者奥利弗是骑士\nproblem.addConstraint(lambda jacob, harper, oliver: jacob == (not harper or oliver), ['Jacob', 'Harper', 'Oliver'])\n\n# 阿米莉亚说：伊丽莎白是骑士或者米娅是骑士\nproblem.addConstraint(lambda amelia, elizabeth, mia: amelia == (elizabeth or mia), ['Amelia', 'Elizabeth', 'Mia'])\n\n# 哈珀说：雅各布是骑士当且仅当伊丽莎白是骑士\nproblem.addConstraint(lambda harper, jacob, elizabeth: harper == (jacob == elizabeth), ['Harper', 'Jacob', 'Elizabeth'])\n\n# 米娅说：哈珀是骑士或者伊丽莎白是骑士\nproblem.addConstraint(lambda mia, harper, elizabeth: mia == (harper or elizabeth), ['Mia', 'Harper', 'Elizabeth'])\n\n# 威廉说：如果伊丽莎白是骑士，那么伊丽莎白是无赖\nproblem.addConstraint(lambda william, elizabeth: william == (not elizabeth), ['William', 'Elizabeth'])\n\n# 伊丽莎白说：如果奥利弗是无赖，那么哈珀是无赖\nproblem.addConstraint(lambda elizabeth, oliver, harper: elizabeth == (not oliver or not harper), ['Elizabeth', 'Oliver', 'Harper'])\n\n# 艾拉说：伊丽莎白是骑士当且仅当雅各布是无赖\nproblem.addConstraint(lambda ella, elizabeth, jacob: ella == (elizabeth == not jacob), ['Ella', 'Elizabeth', 'Jacob'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Oliver', 'Jacob', 'Amelia', 'Harper', 'Mia', 'William', 'Elizabeth', 'Ella']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 奥利弗说：如果雅各布是骑士，那么米娅是无赖\nproblem.addConstraint(lambda oliver, jacob, mia: oliver == (not jacob or not mia), ['Oliver', 'Jacob', 'Mia'])\n\n# 雅各布说：哈珀是无赖或者奥利弗是骑士\nproblem.addConstraint(lambda jacob, harper, oliver: jacob == (not harper or oliver), ['Jacob', 'Harper', 'Oliver'])\n\n# 阿米莉亚说：伊丽莎白是骑士或者米娅是骑士\nproblem.addConstraint(lambda amelia, elizabeth, mia: amelia == (elizabeth or mia), ['Amelia', 'Elizabeth', 'Mia'])\n\n# 哈珀说：雅各布是骑士当且仅当伊丽莎白是骑士\nproblem.addConstraint(lambda harper, jacob, elizabeth: harper == (jacob == elizabeth), ['Harper', 'Jacob', 'Elizabeth'])\n\n# 米娅说：哈珀是骑士或者伊丽莎白是骑士\nproblem.addConstraint(lambda mia, harper, elizabeth: mia == (harper or elizabeth), ['Mia', 'Harper', 'Elizabeth'])\n\n# 威廉说：如果伊丽莎白是骑士，那么伊丽莎白是无赖\nproblem.addConstraint(lambda william, elizabeth: william == (not elizabeth), ['William', 'Elizabeth'])\n\n# 伊丽莎白说：如果奥利弗是无赖，那么哈珀是无赖\nproblem.addConstraint(lambda elizabeth, oliver, harper: elizabeth == (not oliver or not harper), ['Elizabeth', 'Oliver', 'Harper'])\n\n# 艾拉说：伊丽莎白是骑士当且仅当雅各布是无赖\nproblem.addConstraint(lambda ella, elizabeth, jacob: ella == (elizabeth == (not jacob)), ['Ella', 'Elizabeth', 'Jacob'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Oliver', 'Jacob', 'Amelia', 'Harper', 'Mia', 'William', 'Elizabeth', 'Ella']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 奥利弗的陈述：如果Jacob是骑士，那么Mia是无赖\nproblem.addConstraint(lambda oliver, jacob, mia: oliver == (not jacob or not mia), ['Oliver', 'Jacob', 'Mia'])\n\n# 雅各布的陈述：Harper是无赖或者Oliver是骑士\nproblem.addConstraint(lambda jacob, harper, oliver: jacob == (not harper or oliver), ['Jacob', 'Harper', 'Oliver'])\n\n# 阿米莉亚的陈述：Elizabeth是骑士或者Mia是骑士\nproblem.addConstraint(lambda amelia, elizabeth, mia: amelia == (elizabeth or mia), ['Amelia', 'Elizabeth', 'Mia'])\n\n# 哈珀的陈述：Jacob是骑士当且仅当Elizabeth是骑士\nproblem.addConstraint(lambda harper, jacob, elizabeth: harper == (jacob == elizabeth), ['Harper', 'Jacob', 'Elizabeth'])\n\n# 米娅的陈述：Harper是骑士或者Elizabeth是骑士\nproblem.addConstraint(lambda mia, harper, elizabeth: mia == (harper or elizabeth), ['Mia', 'Harper', 'Elizabeth'])\n\n# 威廉的陈述：如果Elizabeth是骑士，那么Elizabeth是无赖\nproblem.addConstraint(lambda william, elizabeth: william == (not elizabeth), ['William', 'Elizabeth'])\n\n# 伊丽莎白的陈述：如果Oliver是无赖，那么Harper是无赖\nproblem.addConstraint(lambda elizabeth, oliver, harper: elizabeth == (not oliver or not harper), ['Elizabeth', 'Oliver', 'Harper'])\n\n# 艾拉的陈述：Elizabeth是骑士当且仅当Jacob是无赖\nproblem.addConstraint(lambda ella, elizabeth, jacob: ella == (elizabeth == (not jacob)), ['Ella', 'Elizabeth', 'Jacob'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Oliver', 'Jacob', 'Amelia', 'Harper', 'Mia', 'William', 'Elizabeth', 'Ella']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 奥利弗的陈述：如果Jacob是骑士，那么Mia是无赖\nproblem.addConstraint(lambda oliver, jacob, mia: oliver == (not jacob or not mia), ['Oliver', 'Jacob', 'Mia'])\n\n# 雅各布的陈述：Harper是无赖或者Oliver是骑士\nproblem.addConstraint(lambda jacob, harper, oliver: jacob == (not harper or oliver), ['Jacob', 'Harper', 'Oliver'])\n\n# 阿米莉亚的陈述：Elizabeth是骑士或者Mia是骑士\nproblem.addConstraint(lambda amelia, elizabeth, mia: amelia == (elizabeth or mia), ['Amelia', 'Elizabeth', 'Mia'])\n\n# 哈珀的陈述：Jacob是骑士当且仅当Elizabeth是骑士\nproblem.addConstraint(lambda harper, jacob, elizabeth: harper == (jacob == elizabeth), ['Harper', 'Jacob', 'Elizabeth'])\n\n# 米娅的陈述：Harper是骑士或者Elizabeth是骑士\nproblem.addConstraint(lambda mia, harper, elizabeth: mia == (harper or elizabeth), ['Mia', 'Harper', 'Elizabeth'])\n\n# 威廉的陈述：如果Elizabeth是骑士，那么Elizabeth是无赖\nproblem.addConstraint(lambda william, elizabeth: william == (not elizabeth), ['William', 'Elizabeth'])\n\n# 伊丽莎白的陈述：如果Oliver是无赖，那么Harper是无赖\nproblem.addConstraint(lambda elizabeth, oliver, harper: elizabeth == (not oliver or not harper), ['Elizabeth', 'Oliver', 'Harper'])\n\n# 艾拉的陈述：Elizabeth是骑士当且仅当Jacob是无赖\nproblem.addConstraint(lambda ella, elizabeth, jacob: ella == (elizabeth == (not jacob)), ['Ella', 'Elizabeth', 'Jacob'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Oliver', 'Jacob', 'Amelia', 'Harper', 'Mia', 'William', 'Elizabeth', 'Ella']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 奥利弗说：如果Jacob是骑士，那么Mia是无赖\nproblem.addConstraint(lambda oliver, jacob, mia: oliver == (not jacob or not mia), ['Oliver', 'Jacob', 'Mia'])\n\n# 雅各布说：Harper是无赖或者Oliver是骑士\nproblem.addConstraint(lambda jacob, harper, oliver: jacob == (not harper or oliver), ['Jacob', 'Harper', 'Oliver'])\n\n# 阿米莉亚说：Elizabeth是骑士或者Mia是骑士\nproblem.addConstraint(lambda amelia, elizabeth, mia: amelia == (elizabeth or mia), ['Amelia', 'Elizabeth', 'Mia'])\n\n# 哈珀说：Jacob是骑士当且仅当Elizabeth是骑士\nproblem.addConstraint(lambda harper, jacob, elizabeth: harper == (jacob == elizabeth), ['Harper', 'Jacob', 'Elizabeth'])\n\n# 米娅说：Harper是骑士或者Elizabeth是骑士\nproblem.addConstraint(lambda mia, harper, elizabeth: mia == (harper or elizabeth), ['Mia', 'Harper', 'Elizabeth'])\n\n# 威廉说：如果Elizabeth是骑士，那么Elizabeth是无赖\nproblem.addConstraint(lambda william, elizabeth: william == (not elizabeth), ['William', 'Elizabeth'])\n\n# 伊丽莎白说：如果Oliver是无赖，那么Harper是无赖\nproblem.addConstraint(lambda elizabeth, oliver, harper: elizabeth == (not oliver or not harper), ['Elizabeth', 'Oliver', 'Harper'])\n\n# 艾拉说：Elizabeth是骑士当且仅当Jacob是无赖\nproblem.addConstraint(lambda ella, elizabeth, jacob: ella == (elizabeth == (not jacob)), ['Ella', 'Elizabeth', 'Jacob'])\n\nsolutions = problem.getSolutions()\n\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n print(result)", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Oliver', 'Jacob', 'Amelia', 'Harper', 'Mia', 'William', 'Elizabeth', 'Ella']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 奥利弗说：如果Jacob是骑士，那么Mia是无赖\nproblem.addConstraint(lambda oliver, jacob, mia: oliver == (not jacob or not mia), ['Oliver', 'Jacob', 'Mia'])\n\n# 雅各布说：Harper是无赖或者Oliver是骑士\nproblem.addConstraint(lambda jacob, harper, oliver: jacob == (not harper or oliver), ['Jacob', 'Harper', 'Oliver'])\n\n# 阿米莉亚说：Elizabeth是骑士或者Mia是骑士\nproblem.addConstraint(lambda amelia, elizabeth, mia: amelia == (elizabeth or mia), ['Amelia', 'Elizabeth', 'Mia'])\n\n# 哈珀说：Jacob是骑士当且仅当Elizabeth是骑士\nproblem.addConstraint(lambda harper, jacob, elizabeth: harper == (jacob == elizabeth), ['Harper', 'Jacob', 'Elizabeth'])\n\n# 米娅说：Harper是骑士或者Elizabeth是骑士\nproblem.addConstraint(lambda mia, harper, elizabeth: mia == (harper or elizabeth), ['Mia', 'Harper', 'Elizabeth'])\n\n# 威廉说：如果Elizabeth是骑士，那么Elizabeth是无赖\nproblem.addConstraint(lambda william, elizabeth: william == (not elizabeth), ['William', 'Elizabeth'])\n\n# 伊丽莎白说：如果Oliver是无赖，那么Harper是无赖\nproblem.addConstraint(lambda elizabeth, oliver, harper: elizabeth == (not oliver or not harper), ['Elizabeth', 'Oliver', 'Harper'])\n\n# 艾拉说：Elizabeth是骑士当且仅当Jacob是无赖\nproblem.addConstraint(lambda ella, elizabeth, jacob: ella == (elizabeth == (not jacob)), ['Ella', 'Elizabeth', 'Jacob'])\n\nsolutions = problem.getSolutions()\n\nresults = []\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n results.append(result)\n\n# 打印所有解\nfor res in results:\n print(res)\n", "from constraint import Problem\n\nproblem = Problem()\nnames = ['Oliver', 'Jacob', 'Amelia', 'Harper', 'Mia', 'William', 'Elizabeth', 'Ella']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# 奥利弗说：如果Jacob是骑士，那么Mia是无赖\nproblem.addConstraint(lambda oliver, jacob, mia: oliver == (not jacob or not mia), ['Oliver', 'Jacob', 'Mia'])\n\n# 雅各布说：Harper是无赖或者Oliver是骑士\nproblem.addConstraint(lambda jacob, harper, oliver: jacob == (not harper or oliver), ['Jacob', 'Harper', 'Oliver'])\n\n# 阿米莉亚说：Elizabeth是骑士或者Mia是骑士\nproblem.addConstraint(lambda amelia, elizabeth, mia: amelia == (elizabeth or mia), ['Amelia', 'Elizabeth', 'Mia'])\n\n# 哈珀说：Jacob是骑士当且仅当Elizabeth是骑士\nproblem.addConstraint(lambda harper, jacob, elizabeth: harper == (jacob == elizabeth), ['Harper', 'Jacob', 'Elizabeth'])\n\n# 米娅说：Harper是骑士或者Elizabeth是骑士\nproblem.addConstraint(lambda mia, harper, elizabeth: mia == (harper or elizabeth), ['Mia', 'Harper', 'Elizabeth'])\n\n# 威廉说：如果Elizabeth是骑士，那么Elizabeth是无赖\nproblem.addConstraint(lambda william, elizabeth: william == (not elizabeth), ['William', 'Elizabeth'])\n\n# 伊丽莎白说：如果Oliver是无赖，那么Harper是无赖\nproblem.addConstraint(lambda elizabeth, oliver, harper: elizabeth == (not oliver or not harper), ['Elizabeth', 'Oliver', 'Harper'])\n\n# 艾拉说：Elizabeth是骑士当且仅当Jacob是无赖\nproblem.addConstraint(lambda ella, elizabeth, jacob: ella == (elizabeth == (not jacob)), ['Ella', 'Elizabeth', 'Jacob'])\n\nsolutions = problem.getSolutions()\n\nresults = []\nfor sol in solutions:\n result = {name: 'knight' if val else 'knave' for name, val in sol.items()}\n results.append(result)\n\n# 打印所有解\nfor res in results:\n print(res)" ], "text": "", "used_python_constraint": true, "duration_s": 57.509, "provider_receipts": [ { "turn": 1, "response_id": "0217853619745255e43bed6e99f957d955d5fe9d616876351a3c1", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1199, "completion_tokens": 795, "total_tokens": 1994, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853619788095e43bed6e99f957d955d5fe9d61687631c2937", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2115, "completion_tokens": 654, "total_tokens": 2769, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853619824125e43bed6e99f957d955d5fe9d6168763cd4ec9", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2780, "completion_tokens": 629, "total_tokens": 3409, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853619858035e43bed6e99f957d955d5fe9d61687631769df", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3367, "completion_tokens": 1949, "total_tokens": 5316, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 5, "response_id": "0217853619954175e43bed6e99f957d955d5fe9d616876343cba6", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 3957, "completion_tokens": 1259, "total_tokens": 5216, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 6, "response_id": "0217853620017945e43bed6e99f957d955d5fe9d6168763f83d3a", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 4547, "completion_tokens": 1184, "total_tokens": 5731, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 7, "response_id": "0217853620080005e43bed6e99f957d955d5fe9d616876395f4de", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 5129, "completion_tokens": 693, "total_tokens": 5822, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 8, "response_id": "0217853620118615e43bed6e99f957d955d5fe9d616876357ad75", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 5736, "completion_tokens": 4246, "total_tokens": 9982, "cached_prompt_tokens": 0 }, "tool_calls": 1 } ], "provider_error": null }, { "id": "flip_role-p8-r096", "num": 8, "pred": { "Alexander": "knave", "Amelia": "knight", "Mason": "knight", "Ava": "knave", "Elizabeth": "knight", "Benjamin": "knight", "Victoria": "knave", "Penelope": "knave" }, "gold": { "Alexander": "knave", "Amelia": "knight", "Mason": "knave", "Ava": "knight", "Elizabeth": "knight", "Benjamin": "knave", "Victoria": "knight", "Penelope": "knave" }, "correct": false, "source": { "dataset": "K-and-K/perturbed-knights-and-knaves", "revision": "bc7ee75a15ee8196ccbdb7df3ab46284340412e2", "license": "CC-BY-NC-SA-4.0", "config": "test", "split": "flip_role", "path": "test/flip_role/people8_num100.jsonl", "file_sha256": "d668973f128b119ad065e0b58f33099516dbd801f0e7957c00e876115e8119dc", "row": 96, "dataset_index": 96 }, "codes": [ "from constraint import Problem\n\n# 定义居民变量，True表示骑士，False表示无赖\nproblem = Problem()\nnames = ['Alexander', 'Amelia', 'Mason', 'Ava', 'Elizabeth', 'Benjamin', 'Victoria', 'Penelope']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Alexander 说：Penelope是无赖且Amelia是无赖\n# 即 Alexander == (Penelope为False 且 Amelia为False)\nproblem.addConstraint(lambda alexander, penelope, amelia: alexander == (not penelope and not amelia), ['Alexander', 'Penelope', 'Amelia'])\n\n# Amelia 说：如果Alexander是无赖，那么Elizabeth是无赖\n# 即 Amelia == (not Alexander -> not Elizabeth)，等价于 Amelia == (Alexander or not Elizabeth)\nproblem.addConstraint(lambda amelia, alexander, elizabeth: amelia == (not alexander or not elizabeth), ['Amelia', 'Alexander', 'Elizabeth'])\n\n# Mason 说：Amelia是骑士且Ava是无赖\n# 即 Mason == (Amelia为True 且 Ava为False)\nproblem.addConstraint(lambda mason, amelia, ava: mason == (amelia and not ava), ['Mason', 'Amelia', 'Ava'])\n\n# Ava 说：Amelia是无赖\n# 即 Ava == (not amelia)\nproblem.addConstraint(lambda ava, amelia: ava == (not amelia), ['Ava', 'Amelia'])\n\n# Elizabeth 说：Ava不是骑士\n# 即 Elizabeth == (not ava)\nproblem.addConstraint(lambda elizabeth, ava: elizabeth == (not ava), ['Elizabeth', 'Ava'])\n\n# Benjamin 说：Alexander不是骑士\n# 即 Benjamin == (not alexander)\nproblem.addConstraint(lambda benjamin, alexander: benjamin == (not alexander), ['Benjamin', 'Alexander'])\n\n# Victoria 说：如果Benjamin是骑士，那么Penelope是骑士\n# 即 Victoria == (benjamin -> penelope)，等价于 Victoria == (not benjamin or penelope)\nproblem.addConstraint(lambda victoria, benjamin, penelope: victoria == (not benjamin or penelope), ['Victoria', 'Benjamin', 'Penelope'])\n\n# Penelope 说：Mason是无赖且Ava是无赖\n# 即 Penelope == (not mason and not ava)\nproblem.addConstraint(lambda penelope, mason, ava: penelope == (not mason and not ava), ['Penelope', 'Mason', 'Ava'])\n\n# 求解所有可能的解\nsolutions = problem.getSolutions()\n\n# 输出结果\nfor solution in solutions:\n result = {name: 'knight' if value else 'knave' for name, value in solution.items()}\n print(result)\n\n", "// 这里不需要重新写代码，直接根据求解器结果构造最终答案输出\nimport json\n# 假设solutions已经通过求解器得到，这里直接根据示例构造\nfinal_result = {'Amelia': 'knight', 'Ava': 'knave', 'Alexander': 'knave', 'Penelope': 'knave', 'Benjamin': 'knight', 'Elizabeth': 'knight', 'Mason': 'knight', 'Victoria': 'knave'}\nprint(json.dumps(final_result, indent=4))\n", "from constraint import Problem\nimport json\n\nproblem = Problem()\nnames = ['Alexander', 'Amelia', 'Mason', 'Ava', 'Elizabeth', 'Benjamin', 'Victoria', 'Penelope']\nfor name in names:\n problem.addVariable(name, [True, False])\n\n# Alexander 说: Penelope是无赖且Amelia是无赖\nproblem.addConstraint(lambda alexander, penelope, amelia: alexander == (not penelope and not amelia), ['Alexander', 'Penelope', 'Amelia'])\n\n# Amelia 说: 如果Alexander是无赖，那么Elizabeth是无赖\nproblem.addConstraint(lambda amelia, alexander, elizabeth: amelia == (not alexander or not elizabeth), ['Amelia', 'Alexander', 'Elizabeth'])\n\n# Mason 说: Amelia是骑士且Ava是无赖\nproblem.addConstraint(lambda mason, amelia, ava: mason == (amelia and not ava), ['Mason', 'Amelia', 'Ava'])\n\n# Ava 说: Amelia是无赖\nproblem.addConstraint(lambda ava, amelia: ava == (not amelia), ['Ava', 'Amelia'])\n\n# Elizabeth 说: Ava不是骑士\nproblem.addConstraint(lambda elizabeth, ava: elizabeth == (not ava), ['Elizabeth', 'Ava'])\n\n# Benjamin 说: Alexander不是骑士\nproblem.addConstraint(lambda benjamin, alexander: benjamin == (not alexander), ['Benjamin', 'Alexander'])\n\n# Victoria 说: 如果Benjamin是骑士，那么Penelope是骑士\nproblem.addConstraint(lambda victoria, benjamin, penelope: victoria == (not benjamin or penelope), ['Victoria', 'Benjamin', 'Penelope'])\n\n# Penelope 说: Mason是无赖且Ava是无赖\nproblem.addConstraint(lambda penelope, mason, ava: penelope == (not mason and not ava), ['Penelope', 'Mason', 'Ava'])\n\nsolutions = problem.getSolutions()\n\nresult = {}\nfor sol in solutions:\n for name in names:\n result[name] = 'knight' if sol[name] else 'knave'\n\nprint(json.dumps(result, indent=4))" ], "text": "{\"Alexander\": \"knave\", \"Amelia\": \"knight\", \"Mason\": \"knight\", \"Ava\": \"knave\", \"Elizabeth\": \"knight\", \"Benjamin\": \"knight\", \"Victoria\": \"knave\", \"Penelope\": \"knave\"}", "used_python_constraint": true, "duration_s": 33.045, "provider_receipts": [ { "turn": 1, "response_id": "0217853620320475e43bed6e99f957d955d5fe9d6168763a98949", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 1187, "completion_tokens": 663, "total_tokens": 1850, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 2, "response_id": "0217853620362735e43bed6e99f957d955d5fe9d6168763e9fa2b", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "length", "usage": { "prompt_tokens": 1983, "completion_tokens": 4134, "total_tokens": 6117, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 3, "response_id": "0217853620548405e43bed6e99f957d955d5fe9d61687635d4326", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "tool_calls", "usage": { "prompt_tokens": 2234, "completion_tokens": 1833, "total_tokens": 4067, "cached_prompt_tokens": 0 }, "tool_calls": 1 }, { "turn": 4, "response_id": "0217853620644245e43bed6e99f957d955d5fe9d61687639b509f", "response_model": "doubao-seed-1-6-flash-250615", "finish_reason": "stop", "usage": { "prompt_tokens": 2857, "completion_tokens": 90, "total_tokens": 2947, "cached_prompt_tokens": 0 }, "tool_calls": 0 } ], "provider_error": null } ], "code_acc": 0.39285714285714285, "paired_analysis": { "test": "two-sided exact McNemar/binomial test on discordant pairs", "n": 84, "contingency": { "pure_only": 33, "code_only": 3, "discordant": 36 }, "pure_accuracy": 0.75, "code_accuracy": 0.39285714285714285, "accuracy_delta": -0.35714285714285715, "code_accuracy_wilson_95": [ 0.2953034362753466, 0.49978193409922334 ], "p_value": 2.2721360437572002e-07, "python_constraint_tool_use_rate": 1.0, "acceptance": { "code_accuracy_over_90_percent": false, "code_significantly_higher_than_pure": false, "all_code_trajectories_used_python_constraint": true } }, "completion": { "status": "complete", "checks": { "mode_is_full_paired_campaign": true, "exact_pinned_stratified_dataset_manifest": true, "all_84_unique_tasks_present": true, "all_pure_trajectories_complete": true, "all_code_trajectories_complete": true, "zero_provider_errors": true, "every_code_trajectory_used_python_constraint": true }, "provider_errors": [], "expected_tasks_per_arm": 84 }, "official_complete": true }