{"accepted":{"artifact_digest":"sha256:efd9defd8e8418a0b4ee6536a908197a07ea29266bd6f7193140f88e768e7b05","candidate_id":"sha256:a8c4c19c000e1cff10e013472ca803b16a05a86e12d8d195b94a88393a8c0c89","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (9, 9, 0, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:1c9cbae0e6b7e167320e5242757a09fc958d2879445c1f85b9622ffc14bf55ac"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:6bdbb99b0f5a0ad4a6f4a071c931a8cb19592e2eeb3d871c5128e2f302d1022e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -35}, {\"input\": -3, \"output\": 6}, {\"input\": 3, \"output\": 7}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 7, 0, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:537b30d64d5a901503f77f9edce756c8fffc238ae208887d5c10d331abe529b6","rejected":{"artifact_digest":"sha256:fedb03cb373f13a03658e34773fdfad68788681c6171bb136b739e36eb190658","candidate_id":"sha256:0979bd1db3e61811ba5c339e0610800c7d5aa550c102b16fde2a1d2b1c8bca55","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (9, 7, 0, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:a9bd49afe2761f21fb848a309114ef9bf3611d2d169635ecebdc20c7d16877b0"},"sample_id":"sha256:54b23f2a955db9c93c7f8ade8ccdb22f29eb37bbea015f85dec0424295448672","source_transition_ids":["sha256:daaad424841e5ff7a972013a56d348a0fa07a6ccdf113a1ad3bebadced5b6497","sha256:b143805f7a30059ec82ec6d6715b6c0690c6475198f3d62924f9ab0731c8a55f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000000","trajectory_id":"vlr-formal-v2-0000000-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b0b8e0c2e1048600d8f515997978aad6382218a7f361381addd957a6253b1564","candidate_id":"sha256:74da9551cf0acae0065927905bf4a1c3880ec4a6b22387f7b9d09fb7108b9b70","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (9, 9, 4, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:b3e25e453e068e3a36494c07de64dbf78f9b52ad5d9c0aedd2af4e06cbe80b83"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:a8c4c19c000e1cff10e013472ca803b16a05a86e12d8d195b94a88393a8c0c89","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -35}, {\"input\": -3, \"output\": 6}, {\"input\": 3, \"output\": 7}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 9, 0, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d7317237646fe2275886bfe20bf8a903a83f5569ac95af9fcfabb2abd41c880a","rejected":{"artifact_digest":"sha256:f3df88efac37c37108746a655cbb8b9cf70a8be37aa26e78b0fd4504d112188c","candidate_id":"sha256:36b49aa7614bfb4c358602aba4e361b54d14eef42e9a0e748b90e19926213e08","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (9, 9, 3, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:3a78813b9f2f4348a3d2011a012991a200c9fead53e42cad8182866ea2b98218"},"sample_id":"sha256:eb370e919612e2d8ae2ab751dec64704905af1d32f78fefa44608affe4e9e161","source_transition_ids":["sha256:262eaf4b5e46dc595990c6858ce48f1263506e924bd67d798d73e4ae2d6cc3d9","sha256:4f254421d1a7d73973478547b576155290eed3701a53bcdf2445d91400cbc295"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000000","trajectory_id":"vlr-formal-v2-0000000-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:001a8d7459dfec08b9e04cebc2ce71e514dd01360d8f228c90d6141349021601","candidate_id":"sha256:e685160615f4c5c1fd9ab4104178a04efe5f39cac79ac03bc357d4af16eea51b","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-8, 9, 4, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:8228b55e09f7f493b53832c12bf4681a67fd0a54bc099610cb247a5ace9c3f8a"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:74da9551cf0acae0065927905bf4a1c3880ec4a6b22387f7b9d09fb7108b9b70","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -35}, {\"input\": -3, \"output\": 6}, {\"input\": 3, \"output\": 7}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 9, 4, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:33dea14c01bef6ba3e0c11bb8e37ea98a37ead47636ac85d84818ddfe31857e9","rejected":{"artifact_digest":"sha256:e9cd320541f6d2c64ffe074c37f73e28ee2d5d794161c4bd9a469ef3cdebb417","candidate_id":"sha256:b82c5044edd5a4fa560cf2d203e679bebcc8e50fb2955fbae0af5b59f84b1424","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-1, 9, 4, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:c8766f9264c589198b025b97a73793c6b686f6eff39875ff1e6777830ffe5254"},"sample_id":"sha256:8acbe126ca28a689b206faa4146870fca56b7bc5d339bfd0ea6820719546e03f","source_transition_ids":["sha256:c1d34ad27abb1164e363170f64a7c85b4491babfe1fa647853799bfa3b324b9e","sha256:73169630824e8a9cd79e9e9a619379a8d79a354f4cba6f6339d939dcb49c2fb4"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000000","trajectory_id":"vlr-formal-v2-0000000-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2b7269b6b6829597bb12be0b94fcbef82bcc86f304c9d0b20523f8e59e8e3a49","candidate_id":"sha256:ec50d9c6495d9f40afd4ccf386f10e747ba6bbe17f9358c67f5174913cab2637","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-7, 5, 3, 0, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2d324aa0a85a5bf62fcd8317181d63f64fb2ce29b016bb68963e043d7128760f"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:8126b2c5ac79f2824b36acb9853696be6c374cd5092d127a1a74bc619e53013f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:e251f3fce7117d486b9a3329b0c0b35c8b67f83894ce3f241b76d6ca080dc263","candidate_id":"sha256:b27ea1ced12b86171074b9ab0326ec785428678a6ddde440c84f59715723f95e","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-7, 5, 3, 0, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e8a9da45cda6bb1e6da3c41a3e428e04ed733a94c4e1ac7bbcd7eb6953934725"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:ec50d9c6495d9f40afd4ccf386f10e747ba6bbe17f9358c67f5174913cab2637","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:acc8fbd9ac31cd30a51b609e08b7eefd510982a5fa3b71307ab08b519dcce8f0","candidate_id":"sha256:a08a3927b6fdf8a6a3d2a64d1f93b5b2f568b43bfd28e571a0eb2eb1065a553a","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 5, 3, 0, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b8c2c8d794a5797898661e8e06390e37d70a94475c4142c38c641232f197aff5"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:b27ea1ced12b86171074b9ab0326ec785428678a6ddde440c84f59715723f95e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, 5, 3, 0, 4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8c6798c312fc41874e03fe0f4e87918c2b5cefb0d5b020d139ee9845df7c8e6b","rejected":{"artifact_digest":"sha256:ede5325b3b8fbbdb757fae49584ad8e2e8e1f421182caef0284d09203e4d022e","candidate_id":"sha256:a4a8fb95739f00ea80e993cf641148c9263e4e659fa5acc733b36abca943260a","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-7, 5, 3, -2, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:300de8253479c1ca6d7b2a637732a1ba9f58179884a7bac1664a754b86aacace"},"sample_id":"sha256:f8600fdd972650cc71aaecfacad4beb7ecccb07a4bbe938cc50841f0ff1bfcf7","source_transition_ids":["sha256:62a697b9819d673704ff3db8e71dc0549adb8df5574eb88161865b7bf3f6bcd6","sha256:3c63f0190cd719f27d97b4d67bfb3c638c28235c41c87933bdbffc5f369f148b"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000002","trajectory_id":"vlr-formal-v2-0000002-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a177ee7bb03c6d64a151d700847a415996c5e18bce3743fe3cf99eb4820e1905","candidate_id":"sha256:eb8acb01718ab49505b071169989d96d0c16a4dea160e77de0a68d08d83819b7","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 4, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:002a26e707946acf1c5d7c51bc2c3c84189f6b6a8e6a65244916b129ea50f4c2"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:901a4a9a872b42991f59b090a775ab0abcb58bc7bb151da1be368b43358a61c1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 4, 1, 2, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:599421695714d19f40d565ea9a94bc72b7ca0f932c9775af53bafcc293fdb9c0","rejected":{"artifact_digest":"sha256:7c886b5f28213b530ec2fd6e1e51032016c1c8ba089c843dbb42c394dd5f2629","candidate_id":"sha256:b9bd1551abfe5d6c6d7ddacab39630029932e271abc5d97bf98a09719bc879ad","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":11,"phi_gain":-3,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (5, 4, 6, 2, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b68bba3bd7056fe333f721219fafc44eaebb11d9089b2511a3054ac85a77b82a"},"sample_id":"sha256:d5b171cd51fe07a65071ddce5de9078d3d8e815d50b2eeb5e43c21cd162b1690","source_transition_ids":["sha256:cc6c716bda317e70c64442e895df1f9f15b7590870121617f3e49a1be2bfbe63","sha256:d085b1809ad519d247f1004c598a009479e62366dc3f0970c40acffef8081168"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000003","trajectory_id":"vlr-formal-v2-0000003-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:fc5a19812e8271a2093481d8fea1d85b4fb1374f522d079d9c78f39b411d4586","candidate_id":"sha256:e55d4aafd8bc7d79e4fc142e91c18995693fb6bcff287c5608898de1b04b460f","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 2, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0dd06f76b057bf65bdb7c8cd23955510e306f241d5208499343504ad7787188a"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:b9bde48604e0d196315546d864bbb1ae72ceee2cded6a74f4c2ebbda27ce0745","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 4, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:949a2fe23375f4e714cd4a6a8b2122d106da2829e21d72e5d762b34a6a364fb5","rejected":{"artifact_digest":"sha256:8385cc69650be265cf6ff43fe95f1bd458479dac08a273ae6b2e21de7de2ff2b","candidate_id":"sha256:69cf61a25e1e71640a1862cbf9712f60993aa7574d5329433f94862a4618fcf6","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (1, 9, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8d7f1415c7860de1710dba3e2ddccd9f73334bf19e93c54fe6580d7aa236531b"},"sample_id":"sha256:bbfd6c4057c96e173e6efdd539f402b299395e21824c78e68f93671575723ba4","source_transition_ids":["sha256:35c970a7a2def0a990053c40d648e024d26a033b7fac63aaf48bb1a686c32174","sha256:fac92a99ccfc63c731c519c5d209a41ca6cccc5c77850ba2dc0f1be55a93e7d7"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000003","trajectory_id":"vlr-formal-v2-0000003-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e81aed611bdc6479bc1225dd5e25871f9fa643047bf7c39e5f70d2bbc099e986","candidate_id":"sha256:cfee3a8e112dbd36feb00db935be5be4bc6deaf196d8da92c54939bc28c4a678","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 5, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:256dbf04f0da4511be2cfc396578bc7adcc9c54742e466e2901a4c85456eb838"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:246c5496f9420cf5cac0cbfb80c5cfd3e402018fb34d0a866ca920c764ceb082","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 5, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:670e81102663d6b687e51b2d35f353cb869afdd89167da67dac52e6a99ea31cd","rejected":{"artifact_digest":"sha256:b3db81e8cba58ab3edee6aefece6a30ad1958afa80afacdd8a6150678abda916","candidate_id":"sha256:e9626507ceb090e32d8e1037c37fe4b1284c00b211b930adc640da671188230d","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 5, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b176456afd0da5e97ea33c34bda457fc92cf3afdf4c61a7e0d7d3696d5db39b3"},"sample_id":"sha256:8ef009a061e59b281ea3ce6b97a77f2d563e6bc3c59aec6b409cf29194caa7fb","source_transition_ids":["sha256:d28e7e81536586fd0641c454554fdb0bd0708b0dbc616f9cf670eee355f98d69","sha256:12dbb78ef84493c429b0829b4d1b5dcc76c1c97b6b438a1a2c6948754887db59"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000005","trajectory_id":"vlr-formal-v2-0000005-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a8a8d1c451c34b3fab261461f4f867fd86594cdcec27941f5ac8d33af5c6c400","candidate_id":"sha256:d5b762e4abbf8c879ba12882c40314f023cb654a5638df7fedaa9c6f5589d6bd","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:46fbe3348ba3e751e3dd1f1049ba927c3c0e8f7b613c3cdc8b3ad525f007b16c"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:cfee3a8e112dbd36feb00db935be5be4bc6deaf196d8da92c54939bc28c4a678","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 5, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:99cac2524c48695f5e868aac8ab65d09fc505157e2bc9f94b3fd89f397c3746e","rejected":{"artifact_digest":"sha256:6d267ac4fff22b2fd5037d2020ed4362ed59f0b00405e73ae221e76471125d24","candidate_id":"sha256:8fb81d8fbe98d6b6d9098e119033217f17a86b7eafa5821953f2b2c325ac189b","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 2, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:90ec39c9c505e4971e0938d6b30dad2e81a9218f94adb35b749d67b3fa7bc8e5"},"sample_id":"sha256:83af6f1aafd5e77db4856bd29f5e40433f7b506135c175ab549a001476c0be60","source_transition_ids":["sha256:c30a1e5c1e0a50ded4a5788dac5b49644c015f1ede40321557e147000559a6c3","sha256:43e916cce349bcd9a9f9f5b1635b8819fe15cc27ffaf0cdebe5cbf938e4dba0f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000005","trajectory_id":"vlr-formal-v2-0000005-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1371a1a676e11ce7e0be64b4db7cb4e6990276eb2fde32b4f6643358e4081b2c","candidate_id":"sha256:981837d7306508681ab618dde3b78281bc7156d9afff76dd59a08e2f369e2ec4","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b8d42dd4023e90937bcc28a356049f84c397fdc54726729d67800ae2f544193f"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:d5b762e4abbf8c879ba12882c40314f023cb654a5638df7fedaa9c6f5589d6bd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c9d23b73fcfef8392c3d9d415489da59d15e9dab04a6afefc6ee1815d91391ca","rejected":{"artifact_digest":"sha256:3e2ab53652c04ef9856e642646eb25bc146122408730cbd476a9d36de5748203","candidate_id":"sha256:d35c1843f21f38f377acd774987ec758d4afcd82112484d76efc6e64099288e3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (4, 2, 2, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:fbee2625b04ca641f6f0cbc9eabe1d490e4a42e1d6edcb05b394f6778db42bbc"},"sample_id":"sha256:f7da94d1996c6789e86fd966f9e1da0a69f3c9704afcaa12940e73abbe6ce52b","source_transition_ids":["sha256:c1ace3d21488e186133ce2fcf84bfb6924e4b3ce280ecf977a948a203e0a8c19","sha256:32dd8f939b4e3d41f2f6b079912ac137407d9f8a33ea8139f44650fcbb0ffc38"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000005","trajectory_id":"vlr-formal-v2-0000005-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e543996ddbd1b8cfd490cea33f73df5b570f2a3ff9d080fb103fb8ce0e575108","candidate_id":"sha256:00c249964319f5a825263f1678c7d99ceaaac5e6c19473a4d3b72d24f84ce04b","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5679cda41ec309b78e6b3d6812c2df2a32da58a9432faca7e42e4ed02c0f8b27"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:981837d7306508681ab618dde3b78281bc7156d9afff76dd59a08e2f369e2ec4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:408873258465f1c451cc5c7e5194f3c8c92f951e75b73cf8fdc1b6d6b7b8db13","rejected":{"artifact_digest":"sha256:a8a8d1c451c34b3fab261461f4f867fd86594cdcec27941f5ac8d33af5c6c400","candidate_id":"sha256:d5b762e4abbf8c879ba12882c40314f023cb654a5638df7fedaa9c6f5589d6bd","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 2, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:46fbe3348ba3e751e3dd1f1049ba927c3c0e8f7b613c3cdc8b3ad525f007b16c"},"sample_id":"sha256:14c61acd95ed34dbcc7807eea0a25a059b3b536851ad8e9865ffe654e90fff23","source_transition_ids":["sha256:f9d784cf729001e850084cfae4c0c4c7353958453eb1b982f8a9616dd95d46c4","sha256:17a42fdc10a468b351e0c5ebf93a394a0bbf48da42118e8e2e5d458906a04110"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000005","trajectory_id":"vlr-formal-v2-0000005-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2447514b9ac88033bfbf7923ee9b5846688b79ff92d2f06de60a150a33c108f9","candidate_id":"sha256:149a8afdfaa08b629b0ad3cd3a778a69d2ec31cb270df5bd6c833b368318060d","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -5, -5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c26c7af7933511739286a418b66c5b6e65a5b26c92938360858e5058ec62afc5"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:58bd78a2cdd56077141f8759ece2800cb257564e18770311bc40c6906fe91af7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -5, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eea0cf46c6311c7b9ac25f8027949621af70a3e03279391d8ae37d090673ccf0","rejected":{"artifact_digest":"sha256:cc79ddff514c103aa1c4dad0b66b7949aab71d203da65deec5a90f4d144d0789","candidate_id":"sha256:e36e074d5fd8e42b3792d62eac6d9cfcf186f89608267af68d1111a2e16dfe6c","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-3, -5, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:bc225226492e7e0c1873329fabe44b468be1340258cea8b4409fe60809ebee2c"},"sample_id":"sha256:a774cd08d3b31ec3e4f6fe8a43670d8734a248f95c4daf5f63ef3b10a9e951e6","source_transition_ids":["sha256:ff47a170c034483ca274bf0ed6a8c3570c2ec3ccfda9acb9f7bdda9a3acf3d18","sha256:7072502029e3883b951bd670036fd2aca6cc08b029ab0895b83d76c842f4b70a"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000007","trajectory_id":"vlr-formal-v2-0000007-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8c0a62924ff54f6cf552f686c5ce2d6bbdccd8e6c0117dc855609c9f6cf3389c","candidate_id":"sha256:2667a107593f316110bc28873d0b393f6ce53e935e9d0e66416bb41d39cf87df","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -5, -5, 0, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2a1a95eaaae309b7acb7abb838a83c3521b7910294fd73ec10660f4ce06e3c83"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:149a8afdfaa08b629b0ad3cd3a778a69d2ec31cb270df5bd6c833b368318060d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -5, -5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cae7b333095fe5dc1f0cfd8f48a08e7ebcc6e877fb8c7d8cbac852ea0e2cf4d7","rejected":{"artifact_digest":"sha256:f1bb708db0244ce84b9a69e5aea47f3a6a3ef3cea298ef1addbff2079eb332d0","candidate_id":"sha256:b56cc290e2c3b05caa1ae0f4d5c8cd9ab8baf6671a7649ffcb39857cfe5588d2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (7, -5, -5, -7, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:6ca34fcff7cf9eaf1ba50011e5fc14129eb7be04f5da6d0e5b17e387c586e7fd"},"sample_id":"sha256:85620c0f4706f2b5da7a855c990a0ff8039726e92cb1d88baadf06d2c52742fe","source_transition_ids":["sha256:33245f3ba5b5c066bad7bfc766a2b343b4d8207469d7be975fe7623b38bd403c","sha256:a39e333dd2348e0151c096990fcdf3c034354bda9ccad5a7760f7ad0fa222718"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000007","trajectory_id":"vlr-formal-v2-0000007-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d497d2d009079202a1460fcf60971658b81654564e8a2656c7118811a25eac02","candidate_id":"sha256:4075d2b760cc25c80f8f423b38817d520e96a9008791e91436cc52956d2f77aa","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-7, 3, -5, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:a648a5a595f60f73e82574962d171a8c26b7f0df2e75bb38dbed9a0847d622ff"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:4b3c8d0b8e5aea64d1f80963aca644bd9f578411963315b0c4d19b2a8c296cf6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 3, 5, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b12f20481c3e5247b239e2894cad08db2508c32bb6976ddca640e2e146448477","rejected":{"artifact_digest":"sha256:152b37cd1e970ad827aaa5690e7e4a2dbad2c4e0fe28967925777796f857f6a4","candidate_id":"sha256:9c3479ae468fda0e4741dba2e06c9e8661d3647b08e863a71f35c285aa750be1","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (1, 3, -5, 1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:754749d357d7fd3124da4ebe4ab6dfe110d314de7fc7aae29d4a3d859600512f"},"sample_id":"sha256:aceff415c77df184e923e5bf507c569b2347cc11cc277728732f630c7b9254a8","source_transition_ids":["sha256:f5a3a2d0e0df3fe116666b81afb3388e14b963450b032d1ea07ceeff77e4dcd2","sha256:e1fd7ce7832a15e875cac0f61fecc2594ca10358dc7dde2ac7f38962b34cd9d6"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000010","trajectory_id":"vlr-formal-v2-0000010-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e90bddbd4ad6cbbba0b45b0d1c4a2a28d950a0ea756629034f37006ee5604556","candidate_id":"sha256:e38b6207b4dcbe50a1405c9cdc46f143c1c5cafac4b00a85d16f6df4c572194b","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-7, 3, -5, 1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:6aa5b6a6e17224059c9b3e1e0298223da556f0352932624d2b20c209b0ca6ef9"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:4075d2b760cc25c80f8f423b38817d520e96a9008791e91436cc52956d2f77aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 3, -5, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dba499c58973523c3ef7551a1b2b02e99aa5ae7ef8fd580a20e6b67cec8c4021","rejected":{"artifact_digest":"sha256:1e86957d73c01d8c34698b756850dea6d35eb8b0f182474213d89b982643e94c","candidate_id":"sha256:03b0751e5a7ec8becd45027abbfc6307f05ec2c1470a2d1c55508ba2ee698e43","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-7, -4, -5, 1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:cd5456f6d32abad9ca9b1c0e3a45fc254eb245e3b2a6e1a38cf177a4c4985be4"},"sample_id":"sha256:ab9477389a1d09bb428d5ac730241b8a806cc185836c7d2a02c7d3083ff9ae12","source_transition_ids":["sha256:dfc506e179fac380905382d4770ad3d8708d7fa8411aadcf31bbd60bd309ec2d","sha256:2a7821ba5c074ecfc15c674473dab40d6952d5229132dcdb4c8862d2583fb1d5"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000010","trajectory_id":"vlr-formal-v2-0000010-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:17a7a21954e7c36a90ea50014c30d8d921b976469e683ea6e63135048f8b19a6","candidate_id":"sha256:679027a212e64e80f1d8b4573c72a88ba2546df5edb18a6e9361c7b0294e139b","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 1, -6, -1, 0)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:cf150af743270e9da22f37e8d6e9be29e2b245445e5582e6acd8d27c5ba6117d"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:c617f46d31d5d77b9684cd63fbe726302106cefacf2bf31ae7470f9bae91429e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, 1, -6, -1, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1386a16ea3adadbea2989dada879bea86ca7db88ac53893f6f8edc10f8b8c607","rejected":{"artifact_digest":"sha256:28f25a9857a3c5c81d716ba41ada6abe8545d63965e6431eebf15c6f049d55e8","candidate_id":"sha256:dfc6d568a42ed221a8f9ed4bdbbfb10da54307942388199851fa1dea25172165","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-1, 1, -6, -7, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f2fcb075cfdb272182e6af2f696ea477c2d6150a08f9a46a8ec86356a2f5aa9a"},"sample_id":"sha256:91a07791e35929e2b38eb03641282dfe3b9a91fd5e8edf87959a3362a42f0c3a","source_transition_ids":["sha256:1787f1ad2a6c490005e1ae567723d33ecfc6cf4b52051d29252e7ff24d7d5c85","sha256:9174809d9281e726404ed7cb2a39ffb693451127ad6b4247de5b7e3c133d7a27"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000011","trajectory_id":"vlr-formal-v2-0000011-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b980b9af5f073dfeb71b6c33b5ba681ab6e7ce9d39a67306b08e864f939e5554","candidate_id":"sha256:58c8b665a9f3c4fa9adf68ab4e95f9d7f6c5731e0322dd06de31cc81d98131f0","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 1, -6, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:258405fd645aaaddc3aae01d4fc65954b994a5070ed3bb190dc52a5c53cf8b50"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:679027a212e64e80f1d8b4573c72a88ba2546df5edb18a6e9361c7b0294e139b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 1, -6, -1, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6aa5eb042c6040cd8edd2add2e55d4a43b2a3ace639dac6a424e30108faf36d3","rejected":{"artifact_digest":"sha256:e8cb33517e92fae137c75d6cdceb18155400cd09fee1190a67617354aaa91241","candidate_id":"sha256:8bb6eb932015ab0cdfc792b664c9fa3f583f1c597e89558414c4b3411ff9204f","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-1, 1, -6, 1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:659445d4203a689ef221c680f59242af4d738e81ecb5b9f2e66c4b934639ac7f"},"sample_id":"sha256:2c22263b0d09ce414bfbd913f38a3a2e6ab5f3a80ae45a15215d6dc32686ede7","source_transition_ids":["sha256:7eb39ad80b92051006d04faa5d0496f21a0dc4415fed8f64d5a10d7ebe35df00","sha256:092bfd4191e2a975701ba0a37a8817e3aa6d2f3329eaff8d5a9dd19720b13556"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000011","trajectory_id":"vlr-formal-v2-0000011-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a5c221115600c2e754c08c5b54960e828c9c47f73c740426973d0fea06439b4f","candidate_id":"sha256:a8885835b7d5220f7d191542d4406c7b1eb0a9f3fa1049e3a5973140672661a1","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 7, -6, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:da0e8757c9b927738d3c81774a69a6eba4205bc6f8bdded1abe93a5a89b1cb15"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:58c8b665a9f3c4fa9adf68ab4e95f9d7f6c5731e0322dd06de31cc81d98131f0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 1, -6, -1, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ed64507751e26c23184cfc84b6214cd387b44ef411bb0e774aef32580ca263b0","rejected":{"artifact_digest":"sha256:c27f5d9b74a8e55a245235820ec8c3e01f5f1107412c4e17e67e0d6f14b8a6eb","candidate_id":"sha256:5c23beb810e83d2d755276ec357600df1dc96a0825b0c1dccfd612d9576aa52b","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-1, 7, -6, -1, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b09c8af916f565e601558679938cacba8570f7cfe96ea0ce225750af859e8c1e"},"sample_id":"sha256:e55f2a2989c7233d55f111f11df870dc6c4f65a196c8427c97ac54f7a8f2d542","source_transition_ids":["sha256:6a8b296c506e8b7f4f6286a6acd2f81d2d03f1894e3331fee7493dff282c1910","sha256:64f8f5e6812a8858011ac4ae4c96ffa08d538919f5ccbc55bd0740cccc814ff4"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000011","trajectory_id":"vlr-formal-v2-0000011-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:c278394140da132f4f8a4d054c831b83b83e8b2ab000d0c9ae983cfbfc95ade0","candidate_id":"sha256:a7ccae005d40cada86dbd8ef5bc5d77716d5514fd166440a2fc892a9863b9b90","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (2, -6, 2, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a2aac6ebf9726befec5c06180d428578d1e3a7fc534f80534d4cb6fe41b3bd4f"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:9046df40c36acb4a5a220195fe8837380f2604091fd83c801d2e77a9f6bd3cc6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, -6, 2, 4, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f4d85ab1d91fd56d1bfe823c215cc251c4cf78807ebefd3592289458ecad7bed","rejected":{"artifact_digest":"sha256:61bdbb8998470bd5c45f467e20bcf4fc73f74cb39335547eabd54c39f04cd12d","candidate_id":"sha256:8165aac84f6c345fdac399c879acd6fd9d46b57ca745c9da9fcd5ea6fa596a69","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (7, -6, 2, 3, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d98bd3d7011149300a775b11455966b1baae9b554dc4fb6d4521a3b858703c69"},"sample_id":"sha256:f9eddddb9d05052e06371bbbf8fbfa1771628b57e4f5c9587f2aaff755989ce0","source_transition_ids":["sha256:b7130ea53cec2eaf630e8028776e0cf33de6311abc1e34b59c7ba03c10b23c2b","sha256:01f8cd068904a555b95cca4e6f8a4086a82a73b85c987b22ddbf5d89bb873dd0"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000012","trajectory_id":"vlr-formal-v2-0000012-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1933d648eff93bc846e368fd96adae51aa87aa31eaaf6d268035b1af64d9ab29","candidate_id":"sha256:d7829a01d3c645d07cc78628d617b53ee4fb487d1170cf86383d846c1c7ac237","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (2, 4, 2, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d7c3d0ad943741a0a124f47aa835aff0c5cc278de3ed4c940d066c44c3d53689"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:a7ccae005d40cada86dbd8ef5bc5d77716d5514fd166440a2fc892a9863b9b90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, -6, 2, 4, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3d371b6065fac9eb7224916ef1a2b05551f1207f0a4f91b3276e38257ae47c7e","rejected":{"artifact_digest":"sha256:5be04caaf22bdc4d8504dc1c2a29dd905eec6f49737fc709aeeda72f329f19c2","candidate_id":"sha256:338c6a089168084ff92a577a34ae32c72a7f127c03bacc2ed8c3252206821ae5","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (2, -1, 2, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a950e24d745f7079dbb9df9949edd2983ccacdf5b9214dbd3a561af7a5250834"},"sample_id":"sha256:8d46219a91abefadd612ee8892b794541997d115d6db37c0aa149630eba74750","source_transition_ids":["sha256:b5d006dd79efd1503b16f2b904321f0aee65430ac44f6b05164d58430f617ebc","sha256:d10058d55e5bf617365cca28a843584e45ea13541090f4decc77d55a73e60585"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000012","trajectory_id":"vlr-formal-v2-0000012-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1a693e0d4e7a189fe06e9b03832667fc63fd85d5e346366d785d2dc434855330","candidate_id":"sha256:3e017d9e0314a2dfcd0638e3e6869bb6f7dd5453c92a4483101ba9c0864d7e4c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 9, 5, 7, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9255695953ecd63e963267b2b88e8e71d6519416d9eb29f7ed25b79dcbbf09d4"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:e0f834b69b9fb339020c37468c1a27f4b793f8bbd9b3eaa36871a826c53a88cd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:2542b7556b3cffe472cca954a7c057e4cde918738021c209194873fb44b6406d","candidate_id":"sha256:25c48d57cc792f3d368f9a421a8ec1c9922537030f8813421a11522c47964438","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 9, 3, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1d5862c91dcc9005224c4dbaef76234ac8700d15f17cfc3c0e6a4b821c90ed5d"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:a10304b48d93a725f6a23760a16767ad1a185353beb5b0b518044a0c4571f44f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 9, 5, 9, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3f5f940c339be46beccc2602db734c9c6607601cafb7d31368c965cd8742948a","rejected":{"artifact_digest":"sha256:fb98313a6b36b8aa394cf95029306051d912f15f7ff6f4303d01d813a9099e6b","candidate_id":"sha256:737a230c53aff61254d65b453830cba9e1d20577c6b74f32b9b47ba5e70ecb51","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":13,"improved_coordinates":0,"phi_candidate":8,"phi_gain":-2,"phi_incumbent":6,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (1, 9, 5, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:92ac0ed5117997276b2b8f78d23014d489e4b9981347fa196041f1d1e7223c9a"},"sample_id":"sha256:e264644f373f5f10e57326d77ce8029151b06b46767e07fceb98c8673703b009","source_transition_ids":["sha256:3467a70080b4528fe82ed73700e1b7f36c458902c12c9173408d0556a9c16f38","sha256:4a534cfed967c72b0b91b4513d13c87774329cb53cf5f93ddf7cdab1c8c8af8f"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000013","trajectory_id":"vlr-formal-v2-0000013-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e39b2452decf1b14a6e8c537ebc5da72970c41d790f9d35869c463883fca8791","candidate_id":"sha256:8876de54b2866084b91811d0193872a57759dbe9fc2432034a1eda322e5a9ffe","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 4, 3, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8a51e4ccfa2abdad960b9fa4cdcd669713e2b159faa7c04cbf18574842f8ca6"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:25c48d57cc792f3d368f9a421a8ec1c9922537030f8813421a11522c47964438","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 9, 3, 9, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:08b60c02c2dc59b9569fd372017ea2bc6f8869d3d7d02827c0c0a76fe43ab393","rejected":{"artifact_digest":"sha256:ba13914e34040d0ca573073a8393ef777b90fa4db4319bd701d26dff684a01be","candidate_id":"sha256:038f23c2f96c1d9597663e21b46c16485e89a6b8db01dcf475e909d26c00c06e","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (6, 4, 3, 9, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:fe490c29b6eff2430660bc618d8b64129a99041bdea7d76017fd0f201323efdb"},"sample_id":"sha256:ff0f3e64c5721503a61479446c60f979f1681a91ba84c09a4ba2b8a762f2634d","source_transition_ids":["sha256:d0320f7a002e20b5d2d39eedd94cc4b4cf0a66f23196d59bbd415915934582e1","sha256:24cde50fa61fa89bcb5a4c14e4afbfc01451e0c3b36f65319424f54d95a8e10c"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000013","trajectory_id":"vlr-formal-v2-0000013-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:69b34bc39e16be90ce1536df2b840f5b507d5aa682911174d12cd27723c45903","candidate_id":"sha256:4c03fe79769ed0233ae040fb3e07930a7590d25b6a8420e8f35a9aa1fcf52547","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 3, 3, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8a3a631fc47890284674713fc1b41f85e1715f0f80e5968e1e168692c0cc99d7"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:d544da7ba66fd8a6508e3203da9d813751e6ec10eaf5c28a4cedf52f742eacf7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 3, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:46c0dff45c9934b5bcc4fc272728ba430ccafcc3fc142e5213a16d9a8115bdd4","rejected":{"artifact_digest":"sha256:23734047ec19477146c18928fbef6126d95a531555b8e12da89c34101068ddac","candidate_id":"sha256:12fcdcd8a7699e95c607fc0fdc5eeb32bfe335234739e66205de7c444e6b918f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 3, 3, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e49cc473b9ec8608bab4075839635a71ea550825b33f36c0fa0568d7d20a54a3"},"sample_id":"sha256:be9b4dc56cf37522de70f1126c9b56460f586ea15cc7a026a90a2042ba28bd67","source_transition_ids":["sha256:54a829c86c23a1124e0d0d16cdbde58c49e16b01e7571fa9b5aa02be36532a66","sha256:a648d3315614ba5fcc8308103ea45540b57819df7b6aefad5dc35dae2e726933"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000015","trajectory_id":"vlr-formal-v2-0000015-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9acecc57c1d97666c17ed364a1ed4b78fad3b3655c28022c9ad1604145cd47f6","candidate_id":"sha256:3fa93449c9880fb56a785d13f5f9660b8f7c7bafb5bbdc8432eaa27ec702b870","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 3, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4460128f037ba83ad3baccca87ad284afdae94fe83882248c2cccb5d50645790"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:4c03fe79769ed0233ae040fb3e07930a7590d25b6a8420e8f35a9aa1fcf52547","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 3, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a182162901c097ba1bf5e1204c284acef1a99bede68443f80a9b3d6277178651","rejected":{"artifact_digest":"sha256:f2c705222a312bb574dd3bc3dc916cdd5acb7ac566a42edc7ad78f82f2586c06","candidate_id":"sha256:d544da7ba66fd8a6508e3203da9d813751e6ec10eaf5c28a4cedf52f742eacf7","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 3, 3, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:88f4df9e3cb602e2368a84711762695dc1a03cb411c492b71ab6c78abcd2ace2"},"sample_id":"sha256:31cdf0ceb675ca652c181b5741b64443d799b1477ba305bcf9340c24863b0c7a","source_transition_ids":["sha256:3e0311279014a7f21b1d6e904302278c031c474ed904fa92e09a30b18313ca1d","sha256:c0370790e50287e5f923a638edaa8351f463587e28710ec402771a117e0553e3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000015","trajectory_id":"vlr-formal-v2-0000015-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:069958e455aa6d6b5f1acde3b54b1435d2c41e95c1a765dd264c65c028c376af","candidate_id":"sha256:e1af980386a28efbc1836a3df23a58bf5ad969f4a797ef0ed1acf6a6bc83f4ef","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 1, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:51bd6f78e4a5e1702d463bb294afa949b153e6926bdccdc277e398eaa9b56a06"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:3fa93449c9880fb56a785d13f5f9660b8f7c7bafb5bbdc8432eaa27ec702b870","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 4, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:783880be4fa4c3ebd395224f57c05d5c1cf754c50cf493f8afe5d8adbc400536","rejected":{"artifact_digest":"sha256:3484d8eda6ecf32e178c653f85300ae47334a172a3b17ec417f5130f16b550be","candidate_id":"sha256:39493706f0b74507cc25dca5b2763e43c85415b7038cf86a66fcd4ac68add305","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (6, 6, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f0ddc1b65ca51a39bd0ea51bbcb2c4621718dfa94fa73b1066141967319a2ccb"},"sample_id":"sha256:5fbdbd23cbdeabea89818158e7920cb2db62479adf141eee9fe57805df658e3e","source_transition_ids":["sha256:2490da4815c978c35ca4ea98bacfafa6ea57921566e8a3b6c49425f431fa49ef","sha256:af434add7a10d5415535537b73aa1538b47b4ecdc547757c4c61ccd2def43a08"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000015","trajectory_id":"vlr-formal-v2-0000015-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9ab093e2e63d940b800a0f64a8d06f432c7adca8058e6cff7f4db27a75eb7111","candidate_id":"sha256:286fb5d0f64cf228be4c686bcbe770204875484203a9839ec5b9ce444b318a4d","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 5, 0, -5, 7, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:70c478627310ea6d3dcff62c9af450fd8a3f857ddeb14eb7e58cd6a1fbc99283"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:9dcd8c33d5ff5c4791bc32db5e2135ade4328a3beb74eef049ea792d06e1e294","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (4, 5, 0, -5, 7, 1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bf69921f73a05c7afb9824cd6ad22422b6c4d8b0a3db02a73bd7120feccf18c3","rejected":{"artifact_digest":"sha256:9eb775659cbf442a142e38bc10172266750fc5ba5963eff7c24d81b61f920f7d","candidate_id":"sha256:230b8bc81d5b132ac5b93dc138a9e65d7c315f40254a8082686bf77fab19be8d","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (2, 5, 0, -5, 7, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:05bef746fc1fd6cec5e6593294eb9e6f87f2351dbdf65a02da12c9299b761d6c"},"sample_id":"sha256:b9aedb6ca77291714c032317fb0a41ce3dce6d06bffdc1f0541a894131ea0c8a","source_transition_ids":["sha256:fe0ef1bb98419ea61252d3b85acf277cffadbd4088e84d9fd8f7451f844f8a2b","sha256:d420d1bdf12cf0c7c619cc2820b6f3016b9605096fb1ac565387d72eb95d7c34"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000016","trajectory_id":"vlr-formal-v2-0000016-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:132cebac342f8b46c040074b57dd1e99a5e4a3887e8cc94e0bf9e57fddb42ddb","candidate_id":"sha256:2db504811374823c9306fea467bdc24054fa7144f9ab31abd350d949c249add5","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 0, 0, -5, 7, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4b7f08e30580347d4df72e01b7a289dbc3ea3ed0d26ccefb60fc0adc5eded5c5"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:286fb5d0f64cf228be4c686bcbe770204875484203a9839ec5b9ce444b318a4d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 5, 0, -5, 7, 1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:849b2a26ca72f12f0c6bfd71a38290ead3276af22a114c3cc83ab61749f18cba","rejected":{"artifact_digest":"sha256:1c508a752af4e3e6ef5f0ab1692871531f0f94478e063c960b778d15c1da4637","candidate_id":"sha256:fe39e4a64338d37363da84c732664644d60155fcda942994a93db5c2984f63cc","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (8, 0, 0, -5, 7, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4cc62b770e364399f79d86701a8132b169a55027c2d8635235830d49373dbb8b"},"sample_id":"sha256:722891e6839fa29bd5b3d3c0fc06d4397714cde98c915ea9cbaeaf40231ce36e","source_transition_ids":["sha256:cf6a894964b0f1ab8d7b6f7e0b3ff3569980478c7f1f92388a9102ceceb254f7","sha256:2856d490a562a7c4e4494a96a2510751346b41e8ffd162ca955b6e21171b7b0e"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000016","trajectory_id":"vlr-formal-v2-0000016-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:041d4c3a2a8c38a02e14c14efce1fe49b0114206de3f21bfcda7b3dfd1be1518","candidate_id":"sha256:d5562515b802d71bb035e64816b6c841a950c74154542ef55aee62e44aed6989","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, -1, -8, 4, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a6d2e07e8768e519e0d9454f8702ae42dda5509b38e40120d0df2d8d8539836a"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:576f36c502f3166bfbb3e8c79e50f716b6a177bcc457bd670d3b935ddbf4b08b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, -1, -8, -5, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:91a387b355df21e1d8f958997cab7a8b4375231531fa0884f0e07ed59336d589","rejected":{"artifact_digest":"sha256:140c21a8b6af16de138658fab96ffc9cf44f38e49dbb9fe4bb53ece47d41d764","candidate_id":"sha256:784be89ffe87ca7463144fa9c36a30d059d2a9634e9406f91a3eb7c7a8be57aa","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (2, -1, -4, 4, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:147d870f64c4e288281eecf23518e65af58480e15baae2ae016cd1eace6a5dae"},"sample_id":"sha256:a92f07d1cfd37126c24d3b3617cdda70179905c4768a0435624554c992a3ccd3","source_transition_ids":["sha256:df0875373acce26b59b18904eed4d1ba3cedfb111a3e26c553593173f8c8999e","sha256:f3c4b5320ecefe937b142bef069e855191e04f3c57af308c9c4079cd48ac3c93"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000017","trajectory_id":"vlr-formal-v2-0000017-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b741ba8ad8bb6673b019f788722fddfb24fb72d490043d0e4a35baf1bb826767","candidate_id":"sha256:549232da737c12008e6d515f7e46140f1d223e91f7c32f6a34bfaae0d3869770","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, -1, -8, 4, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:3c620969231e4518b1af9cf34b37d2d46a4bb68f02aeb110b5ce5d618d141016"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:d5562515b802d71bb035e64816b6c841a950c74154542ef55aee62e44aed6989","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, -1, -8, 4, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2a5db21ead336cdf4201890d3a782fd0249efab7e3abcd03c8c21d8b762ee99b","rejected":{"artifact_digest":"sha256:e803fa71d235d839c02f904e7848a7f41cd5f4d1655e1e09f593766fa7040b2a","candidate_id":"sha256:9cd6c2c9c003b2e7c756718f2a830a6c83016efd870f51cb85bc992507f99644","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-5, -1, -8, -4, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:93badc08266dcc274a0cd86b31016bc49535463f31c7478ac11cda5dfd4a553a"},"sample_id":"sha256:4c194cfa1fb2f66e56a77eede2adae533f7a68bfd9b32b68946490015e8750fd","source_transition_ids":["sha256:3283ba91a66fd5c10ccbf93433317cd5e73fc1eef2df6d805701b55f0fdc9b6c","sha256:e41f3c83be4c7cea0e7d1dc65e5c2f5ac5cc9fd401beddf162a9e20508360d30"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000017","trajectory_id":"vlr-formal-v2-0000017-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:089d2df3e04669ff9a1b2d8902988fee8ab588eb78fd715a268dc8c184097453","candidate_id":"sha256:b4f03caafde0363e8c0019a3c007ccf38e762acdd9807db2f2534b60c41e631e","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, -1, -8, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7aa98a583928bd1be4e1a61813f4ae68a128d6cf91f64a7f33883010410d3098"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:549232da737c12008e6d515f7e46140f1d223e91f7c32f6a34bfaae0d3869770","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -1, -8, 4, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ef3bda77037ff428854ddc29516ae3d03bf4a01058dac1325ff89b5aa987571a","rejected":{"artifact_digest":"sha256:7ae45a11631f60a9dd3bd65ba8ef54276015c4b2ee2706c55184775aa0b5a533","candidate_id":"sha256:06a8e9baeb69e8f1f0f4011d3d5d21a746baa58f365c6d22acbdd5cb8f4c9b55","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (2, -1, -8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ef892ee29c89020bc36337ad4f3b0b30a81c68d0a20aa0c4e4a088884234c487"},"sample_id":"sha256:30ea7d170fdc264c2f1c5435871b33700beabd051ee6da221a59b591a79baba8","source_transition_ids":["sha256:65278059de09bb84a591a71ef68243c2c64b5ecb4f709ef198f1bf6318800bc6","sha256:62a1f62c9ba2ac4022d37f5267eb06d540fe0a3db77ec3ec0f0079e2373aed53"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000017","trajectory_id":"vlr-formal-v2-0000017-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8f6b059a72237ad21dfd4f34ec4b0b30768843e619c119f5f06f4576173ceae6","candidate_id":"sha256:bd13a9cb2d49a41254d7f5c06c4393ed003099953059fac93ad29dc97e230569","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 4, -8, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f5de8da61951dfe77d0e0d8aa72bc5ad309822186349d49ffb6f830e6b2752d1"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:b4f03caafde0363e8c0019a3c007ccf38e762acdd9807db2f2534b60c41e631e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -1, -8, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cc616e13999c8b769616a3c1574057c56061ad73600d0b4cd56265410b3e4dd3","rejected":{"artifact_digest":"sha256:91bea038a3c254c17f28aefaba2b746dd5ef883ba07b2143f39270aaf3d1a34a","candidate_id":"sha256:a34db4702fce83b5f866202624b20af67bb601b40552a4ef02f1836645e64f44","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (2, -2, -8, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:fa7a9a7ea1051f0f6ab1c6ca5c96683f515cf3f5f09dcde29b2b571206684fc8"},"sample_id":"sha256:515ecc8d19736ecee0d058c5e9f9453cbaed540202f7174db45865dfc1b29f41","source_transition_ids":["sha256:4307beaca5e881e2add002f334e89f7f5bd5afe4e087e2b992a1ba26a3c7bffb","sha256:fd2d97e45919603771da2be07662eac832ef176eef358988b64d60b2843d041b"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000017","trajectory_id":"vlr-formal-v2-0000017-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ede9af6a5dca3ad6ab890e5beff136880934065477ce28739c58b28e705a0d3b","candidate_id":"sha256:4a8fab4e58c981fce07f441cc4492685b36cf410015f3a82d5d58cf57a9bd446","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (8)\n    if x < 6: return x + (-9)\n    return x + (1)\n","verification_digest":"sha256:ab712d1c674fbadfdc34a0cc098537441d7559d7b4aaca19effa6c8a5f550df0"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:89a5b647376176e7ded4d6215ff9fb1ec5a82eee60f23c41d2b733cc876709dc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -32}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (8)\n    if x < 6: return x + (3)\n    return x + (1)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:74b66f114a7deeb505dc10bbde298808b8e44b02593fad810086e185d51253d1","rejected":{"artifact_digest":"sha256:3d1900d7ea48f8969623a1ddb210bfe2e55bfd682ba995e57ef325598cc73ff2","candidate_id":"sha256:ddaf8b8f5a6001b16d68f435b76c66d2d8b3666cfd2bc438b6fd45b760ce4007","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (8)\n    if x < 6: return x + (-2)\n    return x + (1)\n","verification_digest":"sha256:a7178a4f0db1d7c88609dfb47df387c025037c3f536f57cb5ce5b28c36abff06"},"sample_id":"sha256:a118c3acbf75564718bf5f316f0e08b01825797909806eee3bac54d70f3bcfe4","source_transition_ids":["sha256:3d99797ffdf0bdbe362d926b4ba08dfdf5abd55da9b897f8127d9695dc35a96b","sha256:4ccf631b49de5945ea3f5b0c8171c4c5c28a5fc5c162d81683e19656e1fd1f31"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000020","trajectory_id":"vlr-formal-v2-0000020-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0ac1849fb85ef6cdaf381a172d37ff5c833e9950f6cb5e9ac190513a2ed43ec0","candidate_id":"sha256:648e074ede99e05483f1e84e2e5a0c88c756ae9271178d3b1451eb0066856047","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (1)\n","verification_digest":"sha256:ca50cb0cf98ce08c6a14b578c98b2bcc7619ed1973382cfed006dc2481ade673"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:4a8fab4e58c981fce07f441cc4492685b36cf410015f3a82d5d58cf57a9bd446","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -32}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (8)\n    if x < 6: return x + (-9)\n    return x + (1)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0cee6483fe3f9c853c8999d7628fd2e7701e43f7c12627fb87c15f9e0c416bf8","rejected":{"artifact_digest":"sha256:d388a972242da8d3812b9410796852f9fc69379cd9846a4af22f7527f9f4ab91","candidate_id":"sha256:37c53d7106b330859588a8b0460b7529cf15276a4817a3cc452a905cff68efff","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-9)\n    return x + (1)\n","verification_digest":"sha256:7d4156617ee5170cceedee441a9bffe1ec27aef2699e10950f65711a0f35bdfe"},"sample_id":"sha256:82ecd9a12cb55f9f3fd29eff38125cd776a6cad6fd897f4ada990c7e95d7740d","source_transition_ids":["sha256:2313bc7d0d751a6d619008ba65be03b9c4c234ff3d274c00bdaac7b6e3218aed","sha256:1497bc6a0c796a688cb8320c2151c5d1c06a2649621dc9a4f11ec33da7f9b06f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000020","trajectory_id":"vlr-formal-v2-0000020-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:52246edacf3c4b22f1d8821783a09cd9cc58d93b324d2388ed7728572b554122","candidate_id":"sha256:1dd8de9b2894faa58cc68b0fb73d09de05e3fe0acfdc001b78b655530ba1c4ed","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-5)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (1)\n","verification_digest":"sha256:0806dc1c483e689f3c9d0fc77b8c3b6a923ebf001d4b8f887c8f4cc441ea8dea"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:648e074ede99e05483f1e84e2e5a0c88c756ae9271178d3b1451eb0066856047","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -32}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (1)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:806f81f04dd91e166a13a8b87c90117cf21005dc3643ab8410930d871f411702","rejected":{"artifact_digest":"sha256:83442065582cee7830e221d434aff2597a95a896fb1068e62ec23060c3c1fda6","candidate_id":"sha256:8936449a10a9d0303ae3ad9d219b48b8ff60647072c4a8c8fffaf6620581373a","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-5)\n    return x + (1)\n","verification_digest":"sha256:6eafed23345f8823368dd76d19b175e053cd0c2f5540c1c891ea64af69cd6346"},"sample_id":"sha256:d8c0aa57cde516de0fbcd56add07d9cd501600f1515ab6c1c8c7483d42358540","source_transition_ids":["sha256:58434032f779119b3a6c974971813fda7d2b45a75fa9025c24f2a1a9c7813b9a","sha256:d2a2a6a27e5da62108d59ae53818adb83109ebd4825c26f6147b182de56d694a"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000020","trajectory_id":"vlr-formal-v2-0000020-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:998ae512c1e49651f39f201c8829d1ede22dd2a50dfa702b85e19decde705981","candidate_id":"sha256:3ac802a5cd907741d4c45938bd3a3df83ef003c32d6739c99d3f15fc53880047","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-8, -4, 5, -3, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3332c2e7426725459262f314b129796680809f2ffaea295dc280f7014d4864bc"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:cc38c5e5e693b3c1bccc5961c44c3c3253fab6f4d7d7426428997e2fa19872a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-8, -5, 5, -3, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6cc133132307aa3d54ab2fb1b05fcab383feb44c0ff6e88f73c07603bbfba428","rejected":{"artifact_digest":"sha256:9ab5a9b6cabefb22387cb899242bacb439c253cb72ced224e81c6ae1a239e67f","candidate_id":"sha256:6ae7114fbfeabecb16247d115ba491e12c7a680842b0922818c3e47b1c4a5135","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-8, -5, 5, -3, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6115037a1ec99b4080232edfa0bd68ca9c7fa7e9acddbd45cf037646e56c8218"},"sample_id":"sha256:c6a6bfcd8040f553b9bc9dd6b976f6b3ce8d44ff2dff695b04e63d061ebbd98c","source_transition_ids":["sha256:747a448164850cf356912f32c7d800a02328898929bfc7e24dba3ee56f03c47f","sha256:b4578151ba7e5ff1fbb5bdba8d636f347dd657a21330c90a64b7e7d20edaf484"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000021","trajectory_id":"vlr-formal-v2-0000021-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c2c1a58721db7848e50249d59d5860c6765c25537a82244a962336feae50cfa0","candidate_id":"sha256:f3eaa3435231c52500a5ee1185ff9dd968eb616a37daa9f03feb7590511c0555","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, -4, 5, -3, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:75e5bc971ceb2d4954fac98342212aa14e9921afa94cb7c7584386af82549f8e"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:3ac802a5cd907741d4c45938bd3a3df83ef003c32d6739c99d3f15fc53880047","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-8, -4, 5, -3, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:78900c1ed901358d8c153a548d2ab3e7d0cac56b8dd0c23fabb25bead277c78b","rejected":{"artifact_digest":"sha256:fb5c3588ffc142047480dd4daf6cb7afbeee88fff1864c55e251c126a6d25e48","candidate_id":"sha256:d1dc4c0d97e332550b73df7cfaa30f60109bb30c3281654dfb04c3ad84dcc633","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (8, -4, 5, 5, 7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0e6c9a6d5277e14fcd061293228a9d5acb208567d205457bb657251e55390e05"},"sample_id":"sha256:6b9f6c440ea95e23e88fdcbba656f7c2ba65cf1e967fb8c8ac97356c7f50533d","source_transition_ids":["sha256:1bf3d3db3d48c8dd8a245534e3482dabb9050c98f74f771140533e779a5ac377","sha256:3a26c1bd9e1b9113b42b550f4dc1035b01174827426bed8cc812051c5cbbaee7"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000021","trajectory_id":"vlr-formal-v2-0000021-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:72653c8aec1c83aff05c4eed810a25cdee708d1836055043adff85742a25ecf8","candidate_id":"sha256:0cac70feafef0eaf3bb133ac3e62c4ea8e8dcdf2d4801eb46f3195412e12afc6","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, -4, 5, 5, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3bed16e7abdd4cfb32fc90ced43c949696ed16e7f963cc94d47ab8d4ac29ba52"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:f3eaa3435231c52500a5ee1185ff9dd968eb616a37daa9f03feb7590511c0555","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -4, 5, -3, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4d08e321addfb11cf1bb0790d7e0edf0c76665df6891e6ac04458cbbf244eb85","rejected":{"artifact_digest":"sha256:f742505c15e6a7156b34a8cc43468afdb8d9e6456f62882dbcd1a10b67978376","candidate_id":"sha256:7df4e7782ac7605b48b1b572a6437e28a7e7d0109f76ae2f3cd2d6781e9fb5b5","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (8, -4, 5, 3, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3fb219463b54a09547f3b7300bb1369cd7da9c9be0c443d941ce1fcd1576189b"},"sample_id":"sha256:5db385637517eab22c1d0412b40bfffc68f98ede1a0369621ac74918d73d567f","source_transition_ids":["sha256:204db14139bf5d6ca355fbd6dc5988b1693b685e888aba8728e4c39908f13c1e","sha256:70e77c82a16846cc72ed5e61dc63f3996bbad0a37e49bd049115778bd3a58f3d"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000021","trajectory_id":"vlr-formal-v2-0000021-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (0, 3, 1, 2, 4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:81698e1f328825be18c469b646bab8510a0c78aff3b19820b1453f303d16ef6f","rejected":{"artifact_digest":"sha256:5f94965216a525c4d79265dc9905f3ffc6b8e81518e75d06e5461a671847386b","candidate_id":"sha256:e8aba647b38815c54b0cfe5da188e8e5752718416e4d6670647415af78483a92","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (0, 7, 1, 2, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ba33f65bd3e322c5bae30d0f49edb76c59b8d3c54a1341407ac442676c5c6859"},"sample_id":"sha256:b2d05ca81262dc117e796699fdeea5eb8a726d92e42670968d81027a38ae5bf7","source_transition_ids":["sha256:a544315f6c1419359001694527557b39fe6d5ce4e49e0b656a07ec10a7460dc2","sha256:778b6cffaa61b02b10dfbfef625d794fd37e3238812e650f2c95a3c911ce6429"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000022","trajectory_id":"vlr-formal-v2-0000022-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ee6750904b6d38ce1e38314626968110d71167df6e3e2e898ce4cf6adf372feb","candidate_id":"sha256:b1e043b54b09836f0fa741e851250412fa58689796fa1e48188cc5e4cab19aab","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 3, 1, -1, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ccf529ff4d6dec3d69d61354b54ce228bcf8b7286611cc0e5c2615636097c268"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:d0fe912321b39dc78a8385ac49f1e246aa2101b775daf24cf825ba44841141f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (0, 3, 1, -1, 4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a1b6c29b41568cfa3795d9169be631a97a0bb891c7dfbb4d13900f32e8061a31","rejected":{"artifact_digest":"sha256:a8edac0259a1bd606e28430d708010ac416db8fcbcd863093faac24247ee4db6","candidate_id":"sha256:eec699c16248c8b9b35fefb4a4fddfe4da26338a6a89b81998d4643daa81a3b7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (4, 3, 1, -1, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:1b0d75d69c009462f52772cf9b102504c3104f21411ebdfdafda18bf7270df0b"},"sample_id":"sha256:b162d3781f66e4b089b136f7f016ca9ba7a31b051f6a5118a0df9190c030139a","source_transition_ids":["sha256:60223d9e3e6c227e05b4899c0e30f0a18af48e7d1fb42be8b9aa673464bbf675","sha256:cb1473241da845c70f96055e433a68dbf222bc752af2af2520294e427c50c033"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000022","trajectory_id":"vlr-formal-v2-0000022-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f96b85ea9c1d3144566cba041aa405e4b0d2172caa90e634d87979914046c576","candidate_id":"sha256:a85d127d94b869e92a1c4af0cb3ba8296bf34f961305a9f52ec0495cf642c1c3","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 3, 1, -1, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5f8c14ba6a5201c533a52e48e34b9089035fc6ecd77099b56a78cd77f786ba6c"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:b1e043b54b09836f0fa741e851250412fa58689796fa1e48188cc5e4cab19aab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 3, 1, -1, 4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d06d444cce887d8a3feb734fc0808ef86352757f4f3d177912526c705d40a560","rejected":{"artifact_digest":"sha256:b09b22593b8ecd9bd4ec792906a718f4943998066f3f0cc16b53e9273321f5f9","candidate_id":"sha256:4b95ba2d3182832d7def2be8d4d00575ba668b7770039e1c973f0c6567fa7113","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (1, -4, 1, -1, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:31135ae32fb3a6cc82ff7c06d3662ac64055e19e46e05f42eba1cc59d817eb58"},"sample_id":"sha256:ba1eceb533cd5b161d10965477c8390093207d0bb93cb89080cbf6e6eca43d8d","source_transition_ids":["sha256:1bc3775cf5cf69ab64038a34a3c13d9b1da6cd0288b887f0f30fe913f7960ebe","sha256:05b82d26d78c3dd746adec731fcc4a0b6a5a0804200a177a22b3f4f32b83c7a3"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000022","trajectory_id":"vlr-formal-v2-0000022-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d34c87e388b2411294f48ba71bc427e2d07fa30eb6543de013e7aaea1c2d6e54","candidate_id":"sha256:f93d323901af5435a9e1fc21b6f08e40e524a60a832d050b82ea5b04981d42a1","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 3, -3, -1, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ad91be7a4814eb27c46983bc90ec56eaccb10a6495bdb742c4b4bf9f3a1cedcf"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:a85d127d94b869e92a1c4af0cb3ba8296bf34f961305a9f52ec0495cf642c1c3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 3, 1, -1, 5)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0ecefe5852cee2f6aa03c4a5245d67af828bb412b386ab68d207d373b0a31583","rejected":{"artifact_digest":"sha256:858e150622570a2a879b20403d0ceae9b6c0157bb2a0c2ae461ac55f30690437","candidate_id":"sha256:b63c837fda9d64b8992a4e2b0ad63817243d4c2cd907a5f7c3d3f15bf4581263","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (1, 3, 7, -1, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:96c7d63745de689788522f0d5ee2eab854be766ebf0c5c564623c0647f7b5418"},"sample_id":"sha256:a609a7ad2bca32f7d814c00e29171bb6c27e44ecb8eb622e89a5637488c20d35","source_transition_ids":["sha256:474d855fcd61b816b95c0117529aca4de7232126adc9e730756096258594b0e8","sha256:d89fb2135899ee54d30b0c217d0b57599d785d660ccbf8aaedbaa5916ab1ce7e"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000022","trajectory_id":"vlr-formal-v2-0000022-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7c4eb79aa7cddbe0582227f78d4a6ac216d31ed6f8a71393b7b38a65c974fe2a","candidate_id":"sha256:f8c3916edb4f6414224b6a338d491e46b7eb769e540dc3532d1aa0c9b738b836","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 6, 8, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e7bfa94837bcff21dba0d9bc5ec627cdee3f8623a43cd40f2853eb62b2f6764a"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:36767f9b7789c7f0ea48dc80ef6d642a87172c2a6e600767c9ca8903052e4362","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:f337c25c8532ebaae0b5af7e5c2274f78f6c56238bc30c2fac3a63f2be03d7f8","candidate_id":"sha256:3f64200669df621a65e3311f30dbd68c3e6bd8d1dad690bc4af3564d5fbb221a","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 6, 4, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3180a754a0f1de426ba261b5816f03cfc9f63dcd5a2e56d2b5a985c42102d9e5"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:69f2e5fb33430c36d5d9eac8ee876e207ad2ddb54dab8b1bc1c4f8e362bd610c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 4, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a48014882ea52eabd2201b12849574c4ef18876cae6b90c8ba44a00658239b2b","rejected":{"artifact_digest":"sha256:0877a0aa691ced4df6efaabf0e8f775ce4cc50420b44965944bd72e268b3787e","candidate_id":"sha256:4f3d1d58a29dbe2cb230c08a33b60596b5df0fec09b2c842abe69962e8e271fd","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":11,"phi_gain":-3,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (5, 6, 9, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a7ca57fbd40baefd712f0e502034ac2c9592f38fd564e6b7d1a3d54b9ad3816c"},"sample_id":"sha256:9fcd7ba747ec634ff8115f2049f69544156294713ae0c1d896a77b0320dda3b6","source_transition_ids":["sha256:d972a73546b55e4b70197ccceee1d660cd59cc77eae6f3b22b8860fffe2ed2eb","sha256:6eed4d05f56a104f192b1fe5d4be34ad517a61363df89b319be910d1927d61ff"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000023","trajectory_id":"vlr-formal-v2-0000023-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:eda9ca5743f019689e772bd489e88cc409812b520c8d4ac9d170126fa9efddec","candidate_id":"sha256:52034f93cd21df83083a6380c254fa6766b7f12cc69d5bacec7ef258ecadc020","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 6, 4, 3, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:af073b5dfa49f323a19fd045643322b91f182129705c5416e0b959daa89822fd"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:3f64200669df621a65e3311f30dbd68c3e6bd8d1dad690bc4af3564d5fbb221a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 6, 4, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d8cc7520e3c8cefa0f33c44c1e57769f65b87618fe0029a5398efd4b5da85b90","rejected":{"artifact_digest":"sha256:fcb397e06bcc9a5783d2f624240ad153ef441eda6491314af44a0a8133c96eac","candidate_id":"sha256:e920c9350f2ad97e18e9b3b84f0c6b685e6bdc5dfc02c33e009f7bfa9e6b9beb","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (6, 6, 8, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:956213d83c31b4e3a6e6cc3f11b42cee4e6dda29d597d521a65f3f1d8b169013"},"sample_id":"sha256:29b5ece8861d0c8dd009271ddf497dd210a1ea0994cead20bdb2c811c26c8f74","source_transition_ids":["sha256:602fe992be96e0486ee16c26f924a5bd51c6d0db85194026cd93da20852939b4","sha256:416f15dc408931383f09a39e3c9e0742f7932f4c523d6631cd49c2c51bf0bdfb"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000023","trajectory_id":"vlr-formal-v2-0000023-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:eda606a6115fbcc2166cbe489669e406191b99b9dbf0fd2fd9fa85281ee2be7f","candidate_id":"sha256:0b09af9cbd4908a51d5173ceb89bb6ecc0b2dc3a380f8a0e209504089cfc6607","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 6, 4, 4, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1048674dcdef0651e212618630fac0c177556ca6f7d7a77553d6861fb6c79bae"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:52034f93cd21df83083a6380c254fa6766b7f12cc69d5bacec7ef258ecadc020","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 6, 4, 3, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1ab73607826c86a029783d43e5491762a6abadba7293961c1d26b003d5b93265","rejected":{"artifact_digest":"sha256:311189da0f0c170c609562ef65b40f459eee3d9ec29204f8d9077722c1c726d5","candidate_id":"sha256:21304bc41c25918c4d5eadf7b32535432fcd4280fbfae9f2521ab4589397d610","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (6, 6, 4, 9, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bf039ff01b9c634121019c940630e4ce583f7c58e319cfb9a440b42ea13c25d4"},"sample_id":"sha256:785cf0b66371a8e5b0843828fdfbb5453d8ea90de9bbff49923764e6cb8e54ed","source_transition_ids":["sha256:1daa0ab9bf39cf15721945fe3c279a93c019d4f833bf33918913c21f86ff41de","sha256:bd4a77f7610ae00bfd16ae653889ad530392eb5a244335225cb0b0ae3823c455"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000023","trajectory_id":"vlr-formal-v2-0000023-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:94d5163cc252e307ef4e6ff0bb61c0c81efd6e560dc3967e9a2c6a984e5d8c57","candidate_id":"sha256:06d14911883053f32c4804e6a9bfc94c62a213df7f60dabced7614477ab183bd","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 2, 5, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:664103f67dd342419c389dc10133ffa42260b66424a7fb2c4de3e2db1d4901bb"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:262a52db7730c958daaa73e161b0814bfbcff5330578fbdfba9a7d3acb5f9885","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 2, 6, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9ff03c4d8260e21e6235f92f6a077114b1d040c80bb4310a13d987c3e24c7560","rejected":{"artifact_digest":"sha256:f05d022454d888bc17a49783352ea43ebf53790b5ee74e51cceae6e61288c778","candidate_id":"sha256:dfcc5f2d160b3c9c2c18a24a8c015a4773185342ddbe5190125cf825b60d0698","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 1, 5, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:86671f7993d8d0885c43dcd4ce6cf5675a2b38f50c60d62d6147e6f3629ff2db"},"sample_id":"sha256:a9eef490a5178d5d94c56153c689d36fa42483793f243792b9fc20353942ef6a","source_transition_ids":["sha256:093e0819a3eb3c9951f72eac25f60df5dc4c6f36d6bde6c72fd4f12803c8ae2e","sha256:e90fa966027a4b27dc83c7e996b41369fff9d1bf1d2787adb98d19cd2a5fc917"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000025","trajectory_id":"vlr-formal-v2-0000025-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8601c469f006bd273555328f668064e57623e7683de4ba1637b24c0883f51997","candidate_id":"sha256:b969f12e3bf808b3448d43d8ade010dc1ee5ad38ea4a426d68a3cd09fa815f6c","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 2, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2072643e066c38e1c408c9d1da0818c00f52cd9c671064d96f38d3618d2b920c"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:06d14911883053f32c4804e6a9bfc94c62a213df7f60dabced7614477ab183bd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 2, 5, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:499008b647ada56818ff130cfbdca82ae892319bb1e4173d9ac729e521d7fc44","rejected":{"artifact_digest":"sha256:22ee9d0ce87cc4c18b9cc88437ec7000f99fc12efdc2a9da5923da9148deb741","candidate_id":"sha256:949e9b84fe3cee04892dba2eab1971d38afcac9af452c0f5d9a0c6b42f9c6df9","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (2, 2, 5, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2b053f403ce25f737680cd3ed2eba1c18c31ff0b8dac5fa0357ec8b10f46575e"},"sample_id":"sha256:155bf5e18813bc9a37e426a72abc880a6ff8a4f8e53d63a87fa42225e697e46b","source_transition_ids":["sha256:d7c69fd376ee5b60f8b399bd6174f7223e7222d2d1727be88e48e13d31bad944","sha256:0fa58d229d594234f1065aa04e5de12d058f92e057b830fa0e42232b499f9ee4"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000025","trajectory_id":"vlr-formal-v2-0000025-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3bd28b18ee1d29d331bdadf5c3e4cad5ff15b91f9f8cf013bc68d7cc687f25d9","candidate_id":"sha256:944a7c6bcb5f9216e85d000462296c75e0026594c6a671b3ec2fe73ec8009e7c","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (1, -1, -2, 8, 8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2219ae4e622f175b7c33576963e4c3317453e1c1ac49ff3a43407ba08c3471bf"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:86f6f30f7f61bb3637794b4efe9ef7d66fbd5f3b4f90583a4fef0715a9c39bfb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (1, -1, -2, 8, 8, 0)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:06629ad1ecd2571bccf27e7b24ba7a46d677e2982bc69cf142f7d280d9bdc458","rejected":{"artifact_digest":"sha256:2bb45b469efe9bd1c235daa8feb567d663d74b071ca28c85271f4a5603457071","candidate_id":"sha256:dd40af64372b76685f988b74701bca41fcb39ced4081da57bff068f90a5002b6","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":18,"phi_gain":-3,"phi_incumbent":15,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (1, -3, -2, 8, 8, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:107ad3f27f5fc8a52d07e43115d3040b2620fe729ead4ca70cbd88dd84ba8064"},"sample_id":"sha256:5f0481f31fe5840db1a7fd8ced8390b22ef6e221bb194a4d2e4b27160552fc76","source_transition_ids":["sha256:dec67aef3d3d3d68c92e8e878e301337b2b578b429e2c82a1c46fd8abeacf374","sha256:a0e21d1d0592eb323956ee9111ee6b20f23882c5b87e89457c5bc50e03869f3b"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000026","trajectory_id":"vlr-formal-v2-0000026-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:190337c96830191d56286c8f76cc8a42bb4e5c932a47702e67cb4147a5266335","candidate_id":"sha256:b6ff433b455717e2df23d2b14d778dd787197c2cdcc60f33ec30df221a87639e","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, -1, -2, 8, 8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b16f5eab879cdce916783c5ea53e84c81fe783dc13bf356e726a187141486bae"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:944a7c6bcb5f9216e85d000462296c75e0026594c6a671b3ec2fe73ec8009e7c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (1, -1, -2, 8, 8, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9d474a3ced475cd211542b494608ae07f86ccf24e694f8b0033bed50eba46bc5","rejected":{"artifact_digest":"sha256:2d133f1cab9a7aafa3da0114c66417905ee93f91f2e4c4cfe63e97ddaea965d6","candidate_id":"sha256:216c087e8a3788096f9d01b8382cc3d46bed2f708821ea83f6132d12ac928917","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-3, 0, -2, 8, 8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2d80147237a4be723b987d23c533e4dc7f04cb9af46e652aa5a64a79275b902a"},"sample_id":"sha256:ed4893ad3a2811e54c3003cd08ecfa4f3c0b0328b7376cd855e3843b98e5e914","source_transition_ids":["sha256:6903f4c8cffee09f364d0602100dd64ba81e13a190cc74aabcf36beacb7e9738","sha256:7dfa8c57bd8b1e6388396fd10de5a0365626155e3ca5407e2caec52a781da7fe"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000026","trajectory_id":"vlr-formal-v2-0000026-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:17f19b3989130f39b7ac3e85073a88c1d90f69cc5cbd436641ae65249bcdfc43","candidate_id":"sha256:b18dfba671f23900a9bde6d0ff29eacee8198056ebedc615e9675d252a683748","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, -1, -2, 6, 8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2c015ef57e99e1984deeedb8f2c5bd57a059a1aa86d96f0a8e99ec26e567d22b"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:b6ff433b455717e2df23d2b14d778dd787197c2cdcc60f33ec30df221a87639e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:90e4607a4e0ea6140a9c5405f35f21ec6264d5db390617e115b64bc7990faf1d","candidate_id":"sha256:3db49de55a918ab2ced2ebed1e569e264bd108f2ccf9cf99103b2b343d0deb1b","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, -1, -2, 6, 3, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:926638b6b57ada2b9da82ac09b2e22ac068d5d9b1eb0622ffb9cbb486f101504"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:b18dfba671f23900a9bde6d0ff29eacee8198056ebedc615e9675d252a683748","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:086d356c3a87e61beeab4006e85a630bc0395d3505a4b8e5c66a03c0fbf06f45","candidate_id":"sha256:a907d4c9437f1c5b4eda61eaf9bce963c591bf4e113a83133188efdc1f9c50eb","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, -1, -5, 6, 3, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:976d5ef6746bf4b534f894669b2b25895e469b202c4d16c77b2668d5f96acca9"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:3db49de55a918ab2ced2ebed1e569e264bd108f2ccf9cf99103b2b343d0deb1b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, -1, -2, 6, 3, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:70bd3346f4f23755d6d4c7c0f8879a553b2498ce3beb8c93992a2aabe4828e26","rejected":{"artifact_digest":"sha256:243971f5e0f219af9be915b0108a944d42bb465bb411aa8eacd60fe5a8359e5c","candidate_id":"sha256:7724fc1bb1864fb3328480af9d6f5384a9e91b9ab527f212259f2f40fb0dc556","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-3, -1, -5, 6, 3, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:30f286b68be689a2fb34a6d1f4d277e01c1e76697fcced83d4928ae3d7f641b9"},"sample_id":"sha256:7d8ce4c7a044e9d1145c889b774245c164356f5224c25f7dfac00a5592ab6b27","source_transition_ids":["sha256:9acf92947a345c430fc411e7614edb7d44052b9ce367f52749ff341db5b97ff8","sha256:686589e0dee5887bdd8690bf13db6e401462c8417e224ce96a602133044f8045"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000026","trajectory_id":"vlr-formal-v2-0000026-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7ed37b342fb2feee875a503d96f8dc726fd34a9b756b1316d2596f3e0ceeac2c","candidate_id":"sha256:053ebdc9c3cc996793c32d7a597e1275f2a0873826f0976ee3c9c2940740e414","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, 1, 5, 3, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:65a26486f952365d9287a209271e4bd197b892ea262c3d90e93f9027f0519236"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:7b0e58332c7946e8d4f466aa76537bd24d38b9bab87b03131ea644c4b4b490b1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 1, 5, 3, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c02af1e4a76abf86688497603b5cafa69026852e2bef3b88611e2b357933b2d8","rejected":{"artifact_digest":"sha256:ed69e5a2384472c5e2c546f3200e285f78bb23aeddc324884ec7dffc2e68e492","candidate_id":"sha256:d83623aa98a930bceb04bfa8581171b6011b54f5a277e5d65543210be829f9bf","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, 1, 3, 3, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:113fb2fec869100eeb9eafe065279afe00edddc361ffcb1f9745185cb69e2a32"},"sample_id":"sha256:cba66c610daa8a3d04cd7c08f86f8c5b4989defe960c3299ba4dafa988c73f5a","source_transition_ids":["sha256:2fa653ec5554a2c51d839f909edeafda450e50a9dbfc67e8e89789c0302795c5","sha256:49b48256be510057c5ad7552b4c8a09517aff5711a81d4ded082c77601a67db7"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000027","trajectory_id":"vlr-formal-v2-0000027-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2bef8482ae9cbef6f4fdf9afa9d6f52ee0216f65bbfc01c0f86c357d9640567f","candidate_id":"sha256:c63ff24290406aff4fac8c88ec9361db4e550b7bd6e6e8e9db1dfdedc428a316","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, 1, 5, 3, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b383f9b653994f4e591d0d581ad0dca56e5181a5055af6765d96ba3bb8501321"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:053ebdc9c3cc996793c32d7a597e1275f2a0873826f0976ee3c9c2940740e414","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 1, 5, 3, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:57b01d5786c75a110d6987c3e87e8205a21d8d01bdce62f48cf5e5619e1ab7ac","rejected":{"artifact_digest":"sha256:d4060a99d291ff20cb45a37c84deb2f5caa2bb6af50bcc801cbbfe317c72b1d6","candidate_id":"sha256:6bcecc4004278602fe7edaf8c896ecb04e8aa9e89b86fa40ea634ad387ab1d38","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, 1, 5, 1, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:69dd8be9845828000204b6eb1ad4b9b8a46feebe8d357da2c2148448699a908c"},"sample_id":"sha256:31a71475f70ad93bdd2ea341e530896f67123991ec39b7af813fe4d6d22fd783","source_transition_ids":["sha256:3c3976556b73f032f51630767af5f06ffdf3d85ff77778f32f57d55ebc1f98cd","sha256:f2d3c6ab810c7721388ae105731ddb84587749257cc83cf09daa78ae16e03e37"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000027","trajectory_id":"vlr-formal-v2-0000027-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9f72a5dd094ca217c363840ee4c9702a2fa5d1a49d330ee0e001332a7f04318d","candidate_id":"sha256:871ee0cef40016129f8f8c646135d7a2577eb41750868a7f64f96ac6924a13ef","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, -6, 5, 3, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:43378537c1f805069afdcc5d0afc3b11bb23db5072d44372d870cc3618868e0d"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:c63ff24290406aff4fac8c88ec9361db4e550b7bd6e6e8e9db1dfdedc428a316","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 1, 5, 3, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:79a762daa3e24c066e6986178cdfae84d78593d7dd65b49230dc4f108786c208","rejected":{"artifact_digest":"sha256:30308ea21cbb9f7f078a69ba7a38c7176b404d4f3a80e48e307ff831f5255b37","candidate_id":"sha256:f720a9614fbfb751e6a5df9e71fd5097d8b0f58f04da46968a5045281b05e1a3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (6, -3, 5, 3, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c3350c0416ec8c5ae799f4242675bc562686ce9ea99e91c4cabebc24874683e3"},"sample_id":"sha256:6615ec81e377b6ea88710a98ce05da3ca101b2b3850622e9fd4b34ff2e258da7","source_transition_ids":["sha256:7758f02cfc8c6688c6578065452f45c344be8e4f7d96e048afa26504b36f60f5","sha256:079984e62ff1d916b9f8218f51c2ef113ad3c733d02590a8dd26a4dbdfea6570"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000027","trajectory_id":"vlr-formal-v2-0000027-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:84a0bb2cc4d9b5b907df2d18bb56dde5d058abc65e1a859d31e9d1506d781918","candidate_id":"sha256:a9483392d788b0ab07738d2e235f9d8c195589c745025ba6aea1c86496c08daa","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-5, -2, -2, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:5e389a1240e85f31430344ea7064b7856e5f1959ba6b97e0ee9b2bfe8f128386"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:9359000aca133b6fb3eb057f1ea707a1ed36173bbad826e9a501f523b5c49f4f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -25}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -2, 0, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fbe9f234caebdaddc1ebf81f41d97ab8d0a5db17dc96182bf254f37fdde977a0","rejected":{"artifact_digest":"sha256:348659f1106e7de52f9a5d1d6dc0b1391974b434a65c621d0ffb536c9e43d44d","candidate_id":"sha256:f3d8a1a864f84b9e7739c0159a6faad2da4f6c38e412cdd3abd69483bec841b4","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, -2, 0, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:8f4111922890e53d83d6bae25f2d9d919ab5cc81001cb03a98bcc5786cd446a3"},"sample_id":"sha256:da001d60c0d377030970673204cb81310379cb3ae5806fd9e0e228f3d3b813fd","source_transition_ids":["sha256:cae7c7b4e0095f52c55e53365ed9a8390e4633d414879a4310f849246710b269","sha256:8d32448f3e37e3c16e0fc667533f9359628397363f342fe79150f58c3f2d0c5f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000030","trajectory_id":"vlr-formal-v2-0000030-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:43e8c12e3b2cba99ad5080429f34c436d3296df2474f08db82aa7f7c9fe1800c","candidate_id":"sha256:298ffa20b3ba20fbf83e34e8b3d345bf501ab38cd06ff5c31b1ae07732c6d016","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (2, -2, -2, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:c8e836c01fe2b56731827d8b9c452584060ecf25cb5c98367c0fa95b4c365e17"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:a9483392d788b0ab07738d2e235f9d8c195589c745025ba6aea1c86496c08daa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -25}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -2, -2, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:365199b551327b1de08dca37d5e9431304e1d98cc57ec40772343938edac3e37","rejected":{"artifact_digest":"sha256:7f79ae7766f1c1dc686e4c121bf36518218ac074592e0a0207644ef664bd6120","candidate_id":"sha256:351f9966ec1e66dc56c6d11c7e1e9bcc22c7d4e3eb8e9d24a351616f7297a039","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, -2, -2, 8)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:5652d43c5d82868e14627bf71140025318a57fcb7c1fd4a062c371a101ab77cf"},"sample_id":"sha256:36ead53c0e3aa8c5138960e0a80a56cc705239e603af69015a69c53c70e66e10","source_transition_ids":["sha256:5b4cf15efd044bb2f7b2b53cf559a069671573f56658bf2d2f782f055cd0efb0","sha256:0578e2782135f8a45631d0b55039bf61964edad3d618bfa0a8c37caae87c9784"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000030","trajectory_id":"vlr-formal-v2-0000030-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a74fc6d2428fdef6f9660fe5ebe175cb813997e1661fc15f75845c689168a12e","candidate_id":"sha256:81b2bbf05f5d6cf4d125bd129d36104a041bf5233d7f6d2f12ab6bed8627de95","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (2, 3, -2, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:1e0fd7cb8a1d8c1eb9ca513aa9b98629279265291e310fe731e08491ec538639"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:298ffa20b3ba20fbf83e34e8b3d345bf501ab38cd06ff5c31b1ae07732c6d016","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -25}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -2, -2, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:30ce4f979a70f1b9b39b625e703c58428ad3fdbef90f882e46b95d95a5166e0e","rejected":{"artifact_digest":"sha256:6fcc4900e14ad980ebbe6bcb861632cff821001aba372acfba039049d5d32078","candidate_id":"sha256:4e6bfe371199079a9c266044f26bfab16a956543837b57fa9418321ad602fa85","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (2, -2, 5, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:5fb6e10c4ba283c0b18d024f9cc25e4c52a27c3aaaa2c7786ba1fa34223a7227"},"sample_id":"sha256:209a7efab81a4c7488180e93902ef11c64406388e4e050a02c77dc85b2580b15","source_transition_ids":["sha256:6c6f9b5a312017e3d028e1df8d2749d374dd81bc7d1fcd11aa0b5842d97f948c","sha256:2534be6ed92a18899ffbdeaff7bf782d5b80f9fe432e48e8224c4fb7a599504b"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000030","trajectory_id":"vlr-formal-v2-0000030-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:edd4ebd0490bb4a9e44d9661a95e014a5e774b516ee8061af1ac85208161c60f","candidate_id":"sha256:02cdffb5457026dcacdb419770a24184b23ff61b1cc7140aa8b69007e314bc20","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, -2, -3, -7, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fde0a9b7ff01fac9afda569345344b656117bcb10be1be1b10e494cc5022a946"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:da89c6cdae0b1ac20310e5e198efb23db171080acc78a96e5738260d27a046dd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -6, -3, -7, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0fd3026494d6463791423f7b473a2053fee4d79794768c180e0d177a4abcba37","rejected":{"artifact_digest":"sha256:67264e8c37927ecb0a81e8daf4f49eef11fe95e74319823a161340c977373c05","candidate_id":"sha256:af10d14c18ea06aebc3f6993586bfc300a532abe2b1c76d9b04a0ea5c812284f","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (0, -2, -3, -7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:615362963583f6795a00b3ae30c807e6d123b848347e051227278ea297c3dbb0"},"sample_id":"sha256:7bf5f1cece3087f780cc9ddb64514b21f81320b1b32693aa25d680728affbd62","source_transition_ids":["sha256:ba85e6f38d7d02acd37cfdfa045d9e815bb94624d37965269d5f8f90cf7fe8ca","sha256:fd015aca763ad38ac10930082393f5c81082902665097df3f274942c878d4bf9"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000031","trajectory_id":"vlr-formal-v2-0000031-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7d0c201e5d2b0c91f29d36abe62524cfc937b41f1b8e333907a926798742018c","candidate_id":"sha256:a0f82ee01041564f74939e428ea757cb421125b78bd8e4480d1736854bed4d28","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, -2, -3, -7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2091664c635c3576d3a69d4a92baee23327794d2cab4fda6e564feb228fffe59"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:02cdffb5457026dcacdb419770a24184b23ff61b1cc7140aa8b69007e314bc20","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -2, -3, -7, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8edf1c52eb57b7dfec729c1cc7b4fb1aa3772f84c3c7fdfd8dad26a11c85ffc8","rejected":{"artifact_digest":"sha256:8d877bb52aab79b48526056352c1dbf657096a0dc87f1c6f459372361bd1f9ae","candidate_id":"sha256:159c04c4c6117a3bea72dcc6dc56eb52efaa30438378ace39ac69839211587ff","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (8, -2, -3, 8, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:94eb7922bd4174b7d1128136e64f4d5b8a5d21cb1725001f19b280bf56d8a1cc"},"sample_id":"sha256:a3a46aef8a200e05518dfd01a13295e666f16f154234cc5696a8759e3d229ff9","source_transition_ids":["sha256:2aa58182faabea006904c3aec1c4cb8679371664635957605219a673bf55fb47","sha256:ee0c4b0895988cbf90b52b24bb5f51d072dae8fe2d599a4378916cf356d129d5"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000031","trajectory_id":"vlr-formal-v2-0000031-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ef5299c523284e80bb9979bdbb3a450e123cc3a8fdafdc3ab004b42d71fc4df3","candidate_id":"sha256:2a2f5aecf6e7d2d0c95c50b8a4d516f8ce89c65b613980931a94820c931f5bd5","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, -2, 6, -7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fb2449218b06cb35eba48a149ea04e6735f705ea73e0f21a54f97656901faa00"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:a0f82ee01041564f74939e428ea757cb421125b78bd8e4480d1736854bed4d28","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -2, -3, -7, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:806fe353daaa0fe24abc41285dc0175b12645e6813a8b58ff4775d2585935623","rejected":{"artifact_digest":"sha256:2b5b7e6a02034ad96b1f29bd404fbf004be0b864c7a34b459ea9c6ef206e435b","candidate_id":"sha256:102d80166d5b1312c67b7e983effc41c44a13af4302dd7770dab0c9074b6c9e5","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (8, -2, 9, -7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f31a8662be43c3d5fd99b2e95a22b02f353d7f970d49c79326d3cd31e94abc79"},"sample_id":"sha256:c8ffbbbb585e36d9f1ae314f64f0292bbe456289d182f7904244f040b0232228","source_transition_ids":["sha256:a6574fc28a5f38009cc18e6f1d44c9deaf372ed40ae297710b956d99d1e26f3e","sha256:cab19e68a529cb94a3620535e51ce89bc8c6a2a9b269dee5bedb4b1c89fba952"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000031","trajectory_id":"vlr-formal-v2-0000031-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cc3977c47c7e6f333caf50a617de7271373fd4473477ff4c2ba03bce9b3a2b9a","candidate_id":"sha256:4c03e8e3f7540e141fa09021da3a5d0534149c7e48d98939b88aba3bf94218de","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 5, 6, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b7daa2f95b64529f358bb529b27e978706cd18215e2af42c12f2d83e133a48f3"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:315ebb08ccd3eaa1d49254918c94ec0fd7313e3b63d43a32eaa2447beeeface1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:789f6b1a5db7601be61a91db6e0760466c1175510536727de2ce45c13aeee5b2","candidate_id":"sha256:bfa8a84788a2bb698412c731e1da877b77cff6e5fb71262525042fe7e659aa90","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 5, 6, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1f47328d726bceafa3681e893302ab9d96ee7180d9de4c85f095c8bb01d05425"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:5e34a07a5513615536492e6be3bc33bc114efc83fb79dd42a6287006d8e6cfe2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 5, 6, 6, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d57d08e28a7e0470338711d2b7840f22e6e370afdd297bd2a5948b2e4999df1e","rejected":{"artifact_digest":"sha256:b7cd8e27410167520b8d4b32f641fc302376fdabef6e3149ab8ddc27f1b3b397","candidate_id":"sha256:6b34d5923b6203f2950d96b34656689f58f594be17296bf33f56ed786e3c42dd","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 9, 6, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e7876160f276391eee863ff68fc8df2266bde5897fec51a6049de7baf16164bc"},"sample_id":"sha256:1e7bbacd9fbde3000fcdc4ced02358c1d8a8bc6435f693d85c346246d9b9f240","source_transition_ids":["sha256:c722ab4bf7159a295c5e55630e80f4762e2075284b1867c28eb4c30b3774c019","sha256:a348f8694e84c0497fc4ae62064f82c5d064ffb4eeaad79576a5e844490c6188"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000033","trajectory_id":"vlr-formal-v2-0000033-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1df666d65e1c0ae44b6a6cfdb7285e41d55eccf4a2012e40d62c8917f8874964","candidate_id":"sha256:c0ff6314d7aba2f3be7b5fdd6817fb778d2365e767adbd3f5c4b06e73021211e","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 5, 6, 4, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:38818cdee1decc43d44c79838fe46f8906053c6f4fdc895abe53cbf36a34fa49"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:bfa8a84788a2bb698412c731e1da877b77cff6e5fb71262525042fe7e659aa90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 5, 6, 4, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8bb8c7936a9de95108b3b79228ce84050e85b964f2dac90920b5270e9f8b48ff","rejected":{"artifact_digest":"sha256:2f79449a0efef13f4a567aefc4960f6712e857b70af6ac3eff4c099e2bbbc4f7","candidate_id":"sha256:28bcfbaf684ba62e60cd467ab3e7a2eb830fcefd93de6d92e8345c8ab0e8b091","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":6,"phi_candidate":2,"phi_gain":4,"phi_incumbent":6,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (6, 5, 7, 4, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:72e4b47acb18ccd474c19b2584ca35a778054dec1c3cf5b22e7aac0020e9e1ca"},"sample_id":"sha256:a376b1dfc586339336b7bb5b39507d772fb6e60a670e2c3c59e80b9ad80a6f48","source_transition_ids":["sha256:441937e2e0e143c5985dd25ad897187ffc969deb1aa4ef74cca34b784a7850ab","sha256:2a7605a4857e734069e8ce851d530db940f3c1771b22fe443c62b5baffe99c43"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000033","trajectory_id":"vlr-formal-v2-0000033-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4d11e121881666d50d0a222ced42d70b42bbd435653f84340a11a5f35eeff1e2","candidate_id":"sha256:8f54f14cc1b24f519c3f8316d2a64b19e57a5246026a4b20e545937a2270c978","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 5, 7, 4, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:726ebeaa99de540a1c2f16161989e539a94069bc8e6b685884a4a8893905d1c4"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:c0ff6314d7aba2f3be7b5fdd6817fb778d2365e767adbd3f5c4b06e73021211e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 5, 6, 4, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0d90dbbb8b5b8d8903a5df1bf7ca10474127852daf1743092cc410d5f862e096","rejected":{"artifact_digest":"sha256:b19eb49370167861708b037f2981202514cb3ab7922099865c7d74845a068e59","candidate_id":"sha256:2d8e63d15d89ee8e110c479df2551e3878ac52e974a5a58b6837fa66b0460c8c","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 5, 7, 4, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7bb52926d97e1c1289728a0736546dc6b7e0112eeb0f14790b646c42ab7e5dc9"},"sample_id":"sha256:2ce65b0eb9c0cee3f9ae45e83e169ea54c1e4496a04914936d4d2743a970a84d","source_transition_ids":["sha256:f7a66adf864fdc9182f854f129c8939b046e7923a4b6165e9fbafb18758a0b2c","sha256:d7a1141ed1840f8e5cad4988f1df941bb319efb5beb3e1641ff88832992b1d55"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000033","trajectory_id":"vlr-formal-v2-0000033-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e1a17e2ba30ca9beb91f9361d2f99ac10d7265de4a090328105e051d0302892a","candidate_id":"sha256:b9a5c29b19dbb5d79b8f2420be3cbf8a3578979af424088aaa46514323497595","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 1, 9, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4d2296f660182a4a1749ecab248857c9332a2b29910bad8d841b18d99ad3c328"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:f83f4425328d67a1a90c8808990ef72d6bfcfa503581311b0e1a77543993ff15","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 4, 9, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1b33ba9cacf2afb1ca8bc03ef228bbd3be0cbdb1a52e63d742a88dac6fd57795","rejected":{"artifact_digest":"sha256:ff2a6ee6ea8e8666fe1cc5ab833de93b852e3e8984b3bd1e4b64b9de49bef9ef","candidate_id":"sha256:596cfedce338c485eac2faa14c6c84ca7a87bdf4cd82c4bf2f211ee9b31857a5","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (12, 1, 9, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:6ac3ccac70af12123a4bdfee4770ec85ae890e3c0b2f73462b300a5b5fb000fe"},"sample_id":"sha256:7ad2866629153c3401f8061a61bfaef16dcef6cc9c676b1639d2d2daee205ae0","source_transition_ids":["sha256:53c18786d526aaa792c87f9258fd7d9be9be6403379613431e0b322bb0502ef9","sha256:71620308f0f4cc990a755e214f03c7a82e61abb7027e281180d12b57c1fbd59b"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000034","trajectory_id":"vlr-formal-v2-0000034-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4cab7b1c2e24c12d7f6de1ca20c5750cca19ea5753e1980620ea28816f54ca7d","candidate_id":"sha256:ee14cd955a8ef5cf3cdc82b80d993566cddef441d0c83cc295b1a0ffb6d5ac0c","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 1, 9, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b9fd50967c57a02c8533481a026b38f9dda9656ce706de7351005b5419a933cd"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b9a5c29b19dbb5d79b8f2420be3cbf8a3578979af424088aaa46514323497595","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 1, 9, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e68cc5645e50876836778067764d6bc6f7604c58b3176491e3c6cb32e14e823b","rejected":{"artifact_digest":"sha256:c9d7cc637ebc330b1b869deda9a2f5d1d967da2ddfb8af5bbd4e07b1d8cb7e0d","candidate_id":"sha256:9de46b743935dc41ec840d62e6142fbf4854e3a698a09a3935f6ac5e6e96538a","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (5, 1, 9, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:732243e0cc18a852829c42c8fe3eb974329f84dc629741f0cbcedf72802868e8"},"sample_id":"sha256:e1473cd714dc4f02bca35fac44ae1d978da023d2378f8b46abd9330d9b230908","source_transition_ids":["sha256:8842edc50223423b99bce93e1d1d0d7ae464d7e64eb407edad2e84a480a81a45","sha256:5d75cd09d8357398f14456a6530c11972b5058ab90de30b652d6eac61c1439e7"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000034","trajectory_id":"vlr-formal-v2-0000034-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6de8ceef56ef414f0af1317452ddc013f0ce397ceadfdf884b6fdbb9c18a042f","candidate_id":"sha256:7e8f9fa4113dd21cd898179f599a23ef28f29e58704b3a36ff9af0039a995edb","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 3, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ab1cd154e38f50b891310131494e78315d1a2dec64deb0eae636e0df74bc01a3"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:699e9eaa960c3bd22b3d541c903e33ce1dc55eb7bfe0e517abdfa8815be5846e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 5, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bf93981059598292beeacc3e1ecfb41a4ca796a6a19c79b252b45b7b0f5cdcce","rejected":{"artifact_digest":"sha256:d196140312dca7c433fe9b41adee6036c667b3cc00dfe6c8a96ee3bacc85e626","candidate_id":"sha256:07289ccc4e593aadd689491150f605f32ed3e1624177fd43b66de64213e0c2cc","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (6, 3, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:1516efe157cee8c3a0a850f80acec373d63b6ea78980f9d96c6780a487b68d83"},"sample_id":"sha256:3f4ac9dde148a12b24497d2d8abf2868f7d3128692e5c094181f3d68ebfe65eb","source_transition_ids":["sha256:25c53f1f49ed245d4d648748f267b1093fadc1ee708a45ffd8a13f46931338a4","sha256:27efcaf3a79392e5592da8271aa5894ee8196dc993f68aa414f4a9f426d32de3"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000035","trajectory_id":"vlr-formal-v2-0000035-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:43305d796ae83d9a2cc5b60ea7f6f27e324abc8fcb1f24f921849b59b18bf0ad","candidate_id":"sha256:6f5dd20b6eeda2fcda84131962dbb88c37956e04200c6915a1b87cc889218278","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6d6b7e1e9984af3ad7ea0935a1a488e811077876ad254dfccb94d8c42b0873b7"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:7e8f9fa4113dd21cd898179f599a23ef28f29e58704b3a36ff9af0039a995edb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:058b2baac8037fd9b5e9d6b731b4a1a0f5909a93170f86fa909ff0b58a87bc70","rejected":{"artifact_digest":"sha256:beaca3d4c9a3b5ab507fbd0445c25844e83d8671d644616e6fdd61320a93d7fa","candidate_id":"sha256:ffa23da0418c29ce1c24b5a9617e3b1011ceebad0b5c3a214077194623d9b8ba","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 4, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:d7827407886cd0976bd10983e05bcef89bf6188eb7d825482b5ad829ec8b156b"},"sample_id":"sha256:b091f59084ed6b92d255eda126b0ffde7ff700d1a66036b2414af5ea6443a60d","source_transition_ids":["sha256:4f1df2197650baa65520e5b9306f10d43cffd49d7d286c6ba07f1b5af3b4ceb8","sha256:b3f240f487d7db03be16518887752ad11898674199b84cea961db6de75801ebc"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000035","trajectory_id":"vlr-formal-v2-0000035-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:be22f86666dedbb289028fa1485b6522fe6cc78504ef957ab75ae0a2a3429e73","candidate_id":"sha256:102ef389e6cf2de248fc87eb6c59270287c48e9665a0c8ca5d37d0ab2b2a3930","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 2, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5ade35e6b0efed7fb3d9318cead0c28432cb5fbcee5cf7a5bdcfafb6ba7462c6"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:6f5dd20b6eeda2fcda84131962dbb88c37956e04200c6915a1b87cc889218278","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8bad7c4117c0948a4e06e155d534f85f68afa6b929734fe1f0520ada4b5761f4","rejected":{"artifact_digest":"sha256:4a8feb7bf67226b8c94c609198f767e03fed299f304ab0ec970cc97fbbbf6758","candidate_id":"sha256:7dfb572bc6902f1950d5574346c1f6f465884f4dba52dff597f225e03ed759aa","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 4, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:29de9245d96f87f9859f49b79a304aace06595a8e404599d8a5019b3243224d7"},"sample_id":"sha256:8b35a432390db2fce95147e4772e09f9b5c7fe41b6e2ab713cd4282d4147ac4b","source_transition_ids":["sha256:fce75aa68317e912468a3c75c1869d9322de25d5f9a6ba6e1de221430e51edf2","sha256:78a2090db9c492148b12784deb1c9d640ac9f1ac1e8283e172c0d84a1000aeeb"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000035","trajectory_id":"vlr-formal-v2-0000035-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fd877645cbc3014acc33c3891281763f05b1b92b4483288a8c9b294cf5ee9c77","candidate_id":"sha256:ffed1eb03b5bb790e553ba726671235573ef43cecd5c3d8889dfdc925077eee6","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 4, 2, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6f2c27ca713ef5ccfb36db1bfdac3dc94390dfdeb96179697962c674c1dc037c"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:102ef389e6cf2de248fc87eb6c59270287c48e9665a0c8ca5d37d0ab2b2a3930","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 2, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c1e40aaa7fbb5ec905a852b76e65db5cfad8fd3f4a6ebede8f0785c17ca2b246","rejected":{"artifact_digest":"sha256:8ab526e3d715e2dcf3e395d8770fb721b8941e5fb4b0eee63a0d04c0adae6f1c","candidate_id":"sha256:7442ed6c3c0f4dd7bff1241603af0d5e3f61678c71aeda301f7147b6c4b7b790","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 4, 2, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:181485c62144d64b99fe057b7cb107b30fa4e3a7c4350b4032fac821d1d2e952"},"sample_id":"sha256:154e3f1d0ea13d09ce0401467878d5852e9e9a9893ce149adcf9dc3ffe1f4709","source_transition_ids":["sha256:cab8f025045a2f9f01652b07ae6782fcab884397031ce0e2d7f93cf402a608cc","sha256:ab1cbd09d2e06150f3e1dd9992fd36b043f6b8c23b8bfc0e0e0bdbcee2f9798a"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000035","trajectory_id":"vlr-formal-v2-0000035-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:79e2729ed66f28d38f6f903024e01d11c4103c949e3e7fbb7dc021a0f1ccda2e","candidate_id":"sha256:a2743cb914056c9e7bd5079ab7bd730e19f278121b20bf216da8d62d797530c4","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, -7, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:86505d9b51473471146c0ab8dff94ef02b9b40d156b66290de165736c70b98a2"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:fee2bc07cc4cb42353508a79e08dbbc3f9a8b409f019bf208825b55370bc7016","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, -7, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:17525a342b552591a3fce117ad21478c76af75345ec6e81c68747e0d2edbd7e2","rejected":{"artifact_digest":"sha256:5b9197e9103f0363128b515cfe34cbcbb00042390cd72b408115331266888813","candidate_id":"sha256:9c6134e2bf130fe6885a30972efb57de5323a4f3e192b5855461b983dddd0cf1","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    table = (0, -7, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:3fe37d7bd8f189a803cfafdf35f09a4929b1f1abe2ac831c5d0d3005f9502930"},"sample_id":"sha256:018e08f533a0ef9b9bd1a73c9d2d999563217e5d8816789418ddf3f189eb317d","source_transition_ids":["sha256:3c0b942eeb0d05684da2c08ec5caf03de9ef790ba4ed95fa4acad7a0dbb6281a","sha256:eb3d685708949c0e76a7c76a8fa7b51467305f30b0fb9f7e925e7a074613ac58"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000037","trajectory_id":"vlr-formal-v2-0000037-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0a070661892e60cc4f755bf8d07e2a8c12dbec6abd374a562e6058168cb89bf2","candidate_id":"sha256:7d54fddf26018f7270a86b7b4e651a9650ef48a54be592f5827959964f7349ef","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 1, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:63b821dc5c23d1796f925e8a380c693e8bbe151afe957c77367492b5deda46e1"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:a2743cb914056c9e7bd5079ab7bd730e19f278121b20bf216da8d62d797530c4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, -7, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:29128d97d8d28080d14408c23e1a179f5fd23c7628bf877211271305ea580310","rejected":{"artifact_digest":"sha256:eac86b8ca99e4f565358d3d73d8e29d2d612ea37f758f522faf1179cc9461786","candidate_id":"sha256:e36a891a2078057cd0128a474afb335dd579094173461a1928ffc3724f0b2713","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (8, -7, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a057ff8e03e184f5899f3f500e411ba0adb080419ae735196bf437f27dae8e88"},"sample_id":"sha256:d0fbead247684b8c9a7f430638bd07aee353f926c1b62d4ee6959c6cb5067e06","source_transition_ids":["sha256:97f3c175303c447140c276fa3c9b642dd92911fabd9ce584e4d77cb0e02e9cbc","sha256:fd72e540b7bb7f1c58e0fe8382cea3e3dde9e554a97ddc8264bdeefa9d4c09a1"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000037","trajectory_id":"vlr-formal-v2-0000037-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0aade80012174a49314778522e664ef04e7507102792ae11fe28ad709a48d887","candidate_id":"sha256:c6be95bdcf32aab6763b02b602ef326161079624426b990dce5ef710bc2fdf7d","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 1, 5, 6, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:794b9a1bfdc9b5279706511298c276b90b9d1e4fa40e4cd0bccf0cf9f78043f3"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:7d54fddf26018f7270a86b7b4e651a9650ef48a54be592f5827959964f7349ef","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 1, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:aacf9c1e0c0dcf7160e78586ddb7c3fbfd5f41c96949676adaed5ab56f3ab3eb","rejected":{"artifact_digest":"sha256:0fd9d1ad5189ba93062b963df0e514adabfbb101ba7451bceae5ccb5c337c003","candidate_id":"sha256:f21c98b9bfdf2dc736ddd652571d360dc0a7e01ceac283a352822ca5024f7b66","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-6, 1, 5, 6, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:02eaff121989bfc620cbbaa14918cd3910627f68bbb864e74a07b01860d0142a"},"sample_id":"sha256:7f4ea44726e7e744e7e81147151703609fa56e4f9a1f1c0429222a881c41f317","source_transition_ids":["sha256:7be150dde31d940e3a750ab803b89167249c1bafd18ac71fe50ba04623d6671c","sha256:4dcd7585fd2121588d150a3adb39b40d5eb3c8afb8bc989ae7f627c9a386c99d"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000037","trajectory_id":"vlr-formal-v2-0000037-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1e91f7d2667c14f99a9461c6f16d66005d7670edd8eb1341ecf1003e59ddc65b","candidate_id":"sha256:fbd9f0da8600c737d51a8ae6b8a159513434cb45bf1e5c1e2120d3c54c323ace","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 1, 5, 4, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d7dc6bd064203029b8b58ea4e9fdab07e7ad7c874ceadf16bc321b9176a930bf"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:c6be95bdcf32aab6763b02b602ef326161079624426b990dce5ef710bc2fdf7d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 1, 5, 6, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:60eb0c9620ba18100d22f3af4c265619ee0e60636289f7beb60b7c91219b33e0","rejected":{"artifact_digest":"sha256:0fa07f2ee5c148cf8deb638d33f74255fc6ef787ab301a516637eb8cde77f199","candidate_id":"sha256:d1bc24e1d687b8d68a82a3ae84254d947cd9660a92e9e8446b1d8c3f9c74db49","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-6, 1, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:fc22ff52b29a52c4c05995ed6e6ea65f4adcd6587a5cd007d48f4ffc6bee24c7"},"sample_id":"sha256:b546531a04c6521cb9203685eb0c2483b95dc5cfa61806de1191432bfb230511","source_transition_ids":["sha256:d87a5fecfaa8eb9528abe9aa2dd36359fbfd9f14bc7f1c53896d3b234cf04f46","sha256:d5c1267abd34f63aefcdde9fa5ca9b9f9bac5a0480a8d8046a2deef072edb565"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000037","trajectory_id":"vlr-formal-v2-0000037-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:52ffc3a85a2db51c0f3e884c4aa0058b2a55f2c611a84081f64175047d07f0d5","candidate_id":"sha256:759212a79ed3880979b563f014c0d2c804bdfb257fa43049b81da82400765bda","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 1, 7, 4, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:77915dc571d3106904d78088cb850a508cac687c6294b2cb073c3933849b1efd"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:fbd9f0da8600c737d51a8ae6b8a159513434cb45bf1e5c1e2120d3c54c323ace","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 1, 5, 4, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4a8ffa54b3f523040d63f788dbf27b172bdd65f43e85831626d751367255d50a","rejected":{"artifact_digest":"sha256:8f9e91d82c7161d6a719d8c29a4ee1f21b658f548c7cc7badbad7c83480c94af","candidate_id":"sha256:1276e32f109409e11b9d6bbb14d63d200ae34ca0deeba49a0c100a78b181f64b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-6, 1, 1, 4, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:bb66ddb5dbf727bfba564a4d57ec4b3ba7d76fc1423fa8976c3a9edcd3a40ff1"},"sample_id":"sha256:87119b77cbf5ba2d92bf3e4f589ce95130a387b9ec9a516b360e57acb4413e03","source_transition_ids":["sha256:cd7f5c128cc2ad56d86c7c44379ec21e9035dc049bead67f2c56db68041d311a","sha256:1ead855e3559d49da75c3303f0f4839c67de99144f8efe0c7b60f355b499ee3d"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000037","trajectory_id":"vlr-formal-v2-0000037-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:042845571723c0883eab59e4f4d5d4ca274989621a636e1479820c8fe9150619","candidate_id":"sha256:de97d319af03e0b8095e073c1d974b2518a1091471c6ee6e05d1e71aabf35543","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (7)\n    if x < 6: return x + (5)\n    return x + (-3)\n","verification_digest":"sha256:020ec1fab2144b6fe0bc6e382a31c47ee91baec2cb1cb93f54537a160d5123b4"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:a6528182fc5dabce526f3b9ca7c3cccb729554d4d4cc0880a7cb24e37754ec25","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -18}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (7)\n    if x < 6: return x + (0)\n    return x + (-3)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b17aa8d3fc0aabca1789a4b406615024e66857e3eda1d64ce7c43d5de1ad803f","rejected":{"artifact_digest":"sha256:da7edcffce82ef69d4817729044b40e55d81bfbb22448c72c75a72c0258f809a","candidate_id":"sha256:237c9008bae82b9f5213609fbcf0615f4aade0ac64de9511780a1024bf6cd38a","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (5)\n    return x + (-1)\n","verification_digest":"sha256:a827eae058f67ff073a385aeee1ab60dd075e54c0aa5100bc2837ebf0cde3307"},"sample_id":"sha256:d9adad7a9b6c53502e446243f665b70d2d95769a215d0e45cd3c6b8f9e27d0b8","source_transition_ids":["sha256:d01fdd3a0efd40d10ffb6c7c365f0630e839140939693f7c2e8c04dd25da8b7c","sha256:fa85bcada796a80a6567269e04e3d6bab3dedf380587442906f9ee1499aead41"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000040","trajectory_id":"vlr-formal-v2-0000040-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ee6363d9f471093bf798b449d8e12e30454d17d6e822e97739b0b01448cd2e05","candidate_id":"sha256:333a4acf487d23aa4099104255f9d650bf623bbe57c3c288c0e7f9f1ff7c17ba","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (5)\n    return x + (-3)\n","verification_digest":"sha256:27acb831b9401cf2963ce3d52587972787de9bc7d739fd0ba175a12124c5052c"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:de97d319af03e0b8095e073c1d974b2518a1091471c6ee6e05d1e71aabf35543","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -18}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (7)\n    if x < 6: return x + (5)\n    return x + (-3)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:33fd0972d265f2dde4a57fb66b00cb594ad4c7450a27570ef9e745126251e8a0","rejected":{"artifact_digest":"sha256:ce0c12554ee9f6e3249b9ab7188bca9056d2ba008985a428c6e42f70c01206fc","candidate_id":"sha256:10400da0cd5bd5a58c3722f48d27c5c92193b816b31fb4ae49923fb3dce4669b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (7)\n    if x < 6: return x + (5)\n    return x + (7)\n","verification_digest":"sha256:8d3d7883d55ad76ed87420f490898673bd37a903f5c27c24c4763c10608fe902"},"sample_id":"sha256:024806ceefb279988bcec435eb608d5bfdff4e607d1c9a5ae9d6ca65e4ac2bd8","source_transition_ids":["sha256:c120636e6e283c890bc28aa2cbca3b27507c2e4454f713b3aec9b9f2d4e5675a","sha256:7c8c54a4957c490eafeea2ac13b647e49a4b20767eae09c1c4c85a5c80c18eed"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000040","trajectory_id":"vlr-formal-v2-0000040-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8847c4ca027d07cce1b57c42f263419457591a8e2e54302c376bd728bd1e5b65","candidate_id":"sha256:1ab7dcf1bd4bacf5f66cf1ab04ba7dca47ebd61f97809422d38a1ef75d431c2f","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (5)\n    return x + (-3)\n","verification_digest":"sha256:a279589024977a0fa29356a9609146a4e2b05952f6ca6cb7a294b273e01200c0"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:333a4acf487d23aa4099104255f9d650bf623bbe57c3c288c0e7f9f1ff7c17ba","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -18}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (5)\n    return x + (-3)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:143b2b786e99cb5cf4caf5ba9777e1cffc4eb13ba6c16a1e2379ed493db1198b","rejected":{"artifact_digest":"sha256:5cab70b430e7cc72a613fff88768c6c85b96e1b3ccf2d7a0e920a886e9b2b524","candidate_id":"sha256:bc7e92789e67298cbc8f1bfaa76d6bff6bb978603468e2b088aaafebd1699e21","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-6)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (5)\n    return x + (-3)\n","verification_digest":"sha256:0b3861ba1c162da2778ca40221b1744ab331bdf87d732471b1ecd850c7bd90a0"},"sample_id":"sha256:115d26e0a77d9dc3cfb5fc8030391b51f7dfad226024b76305510851cc254b4a","source_transition_ids":["sha256:e9e11ec5cbae93d4223b04488370d202f75e42f77060c48a3013f3326d6cdb33","sha256:9da089c8bc56fb3e923956ed9a9727bb294eee2b2bfc9cbdbf5302018bfa8682"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000040","trajectory_id":"vlr-formal-v2-0000040-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:92a334823f560beabdf471ca4b0a5ae56e2ef4edd6918f34245f0264a76e79c2","candidate_id":"sha256:f427782e1cb0ad3b62baf3a90c7cd528820fb9e5e2ecd4efebe8a3831d91ab4d","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, -6, -1, 6, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:62c32f5e696c253bd820459bded17b13f842ae2503b8384ecf0a403f664103f0"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:45c738dab4bbec8170c0e086d40be744242262e5d963992316e38363d5c02358","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 1}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -6, -4, 6, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9cbaa1ef9ffe206879478ad866715b552f1ffbb7441a4a97ca632feba2de2c85","rejected":{"artifact_digest":"sha256:3e0d143224b3b1c7d4bde90e49a5330c61ce43f61204afd94effbed58ac9a0ad","candidate_id":"sha256:a21353e96251c30950948111a86ca5339098fe83a98bc1572970d8c0a045b990","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, -6, -1, 6, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e3be47fa5e5ad86eae6be9d3c245d5fdbdefcdce255e2e73cd9bb1ef121ee48e"},"sample_id":"sha256:ec159a3bc1441995a79a6f2735aee177433c5f4b3b780e640f14af1ca845ea4d","source_transition_ids":["sha256:6e8eadcae34232c659e7bdafe76ecfdbf56b507ff149cdb45065cbf2f3eee929","sha256:92e8db7bd206d3492ca31c093a8e98113c72e79243536bfd7decfa98d9dc2709"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000041","trajectory_id":"vlr-formal-v2-0000041-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ea287a252623b6cc683e72084e6cbdebf625a66dffab63a0b10ca2bb68c70638","candidate_id":"sha256:19433276453619f230dbea76d333b52388d0e1f067806cf68910fcbe2d4cfab1","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, 4, -1, 6, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a3fb2cb15b95933aef1f328244bcfecfcf25d94f384f0476b9e2e1c7eeb3e5e6"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:f427782e1cb0ad3b62baf3a90c7cd528820fb9e5e2ecd4efebe8a3831d91ab4d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 1}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -6, -1, 6, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f4b595c2878c9563e598b16088dba900d64ff99a5836064970ce8efee6382663","rejected":{"artifact_digest":"sha256:b7e5199c4885f6a8c7505e0b5da381c9d1721d76175369419ff27dfd1e66e0f0","candidate_id":"sha256:e167fb58c70b27dd49f7e2466e7fb1467275746a1ccf84d0758f27c0f64a1ddc","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-4, 8, -1, 6, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:220dfd2d55250e0bb1b921b3f0184b9a238d853548610113d194524435d72dca"},"sample_id":"sha256:44969cf53386000233ac2fcb2f3590839baa1d4ed138af3ba6ecbb30f8acde1c","source_transition_ids":["sha256:89ce15a4001db80ebd6de7cc5bdd6a6bb21a6af62273fea60e3875f177fa8588","sha256:b4019d28abd68a6edbf00ff4dad273dffc9cbac5f27dc0a416c6f9e3198f1a98"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000041","trajectory_id":"vlr-formal-v2-0000041-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0b0376174cfd8082107e3fcbef7652842a02501b67e8cea120e8bdeb4a4f3c4e","candidate_id":"sha256:7c80956b22b6bc31ec73f4e2341e3a194ed31a4f3e4acf1f70a2a28b41bc1698","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, 4, -1, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:9583e80615089c5becc4d31ca3ca029db486decad4fb1a4c254e4a4e1fd4206a"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:19433276453619f230dbea76d333b52388d0e1f067806cf68910fcbe2d4cfab1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 1}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, 4, -1, 6, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9197f3fdf54d44a3d3b22adea2d2be8e94cbd142e36925543d2e143fbbfc957d","rejected":{"artifact_digest":"sha256:30643a27a59bdd502fba1935e8c5970e8549b142a08d0260cec9b654bd7b0d82","candidate_id":"sha256:008028644d4fcced377a8eb48758e11bc64e96a9970e03f73402b70bf70af3a9","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-4, -8, -1, -2, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4cc987d4787e29091be63d80f6834da6221b53eb12fb71e683cb5a8914f87843"},"sample_id":"sha256:8557108d6ab716ba4ffe000c7e4d501aaf846914d604a510f39d93fae007f73a","source_transition_ids":["sha256:3f9920d9f7c325de0364526faa0513896c306a4b1c6afbf8b300be5d41b4e205","sha256:e76ab3399d995be9803b5203c0d33b812ab1f9278f693a9e7ce6748153b33abb"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000041","trajectory_id":"vlr-formal-v2-0000041-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:51450fb9a61ea81d3d63c6caa97d5f55c67cd40420d95508b91ccf058f65cae7","candidate_id":"sha256:2b98cc8546908dcbaf153edc338ad22e0621750a9fe3fe64c08255061918e44f","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -6, -7, -2, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4cb1bbf8641ae82c2801ba40d0564bfa7f8616c08a48807a05b9bfba27c71ff1"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:dd85343b6d46f2ac037db7b98638fab340dc8355a5bd5b94c396eae401ab0e4d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, -7, -2, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:92e037fde9eeb8884da4efec3556a15cf3ed4fb4f689e58ced9b1c61fa27b1a7","rejected":{"artifact_digest":"sha256:4a323ef869a4c252b7f2d343baa474444e1737a9633d9ad60c89cc89dd7a34de","candidate_id":"sha256:32830a33b364c626b672b4927ca893ad870ba03864fb3aac1a03af00d52b4ef4","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-5, -6, -7, -2, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2633c02e2e94bbe913541bb7f80bb97597da1606e53bbc5c03b156439628f5db"},"sample_id":"sha256:19210a434ecba102f0c17ebf60d3535e06150ac9b75ae1b1499debe47e7997f2","source_transition_ids":["sha256:3c8706e1a79258bdf074655e3c0f9851c3049851b80cb4cdf8d3873a3b9f328d","sha256:f067a482e9128c2d02a81b4d2d05eaf795e114f29f9fddaffc371602b4753a9b"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000042","trajectory_id":"vlr-formal-v2-0000042-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d718e27a3b1c0a32ab8a4374d541cdfc76949bbefcad64341fda94edf1e7ebd9","candidate_id":"sha256:af4f2502c382f8e242b39bdcd0f8861b61feb5165d5c6c29459e30ea5de46e38","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -6, 7, -2, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:46aa6b745316ef5676af272a4a09c69ef8b6316ae0a3593d7f73da93e69fa273"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:2b98cc8546908dcbaf153edc338ad22e0621750a9fe3fe64c08255061918e44f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -6, -7, -2, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:55d4a66a4ad5feee887eb5780fd0d40632a6729c3af2357c711b996d8656d0cd","rejected":{"artifact_digest":"sha256:94a82f4267ac6bd9fcb378a93fa066bec0cb34857fe33479e3443087afd939dc","candidate_id":"sha256:0f32ea1d77caa871c0254052e82775774c838e316bfc05c53f762462705b4d77","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-6, -6, 0, -2, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9ab3bad0e729dd386a034dd2f24677c7dc24bc235bc900a0f8f8dc07e9a91d44"},"sample_id":"sha256:ca56bbc1d60087033e15da4996a55162ccd778bc2912bfdac56cd41bac5e9acc","source_transition_ids":["sha256:ecfc30a55ff3d2f79421848c19b43d3fa6b5d47a4d6a550867c63e6fe35c16de","sha256:289da131fd32666316594ae8e841812bf13bc05f93e1458c6fe35a9f278e8efe"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000042","trajectory_id":"vlr-formal-v2-0000042-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b996f890e6957e665453f97d0e1564c64f486458344b2cfc62c8011a24666c6a","candidate_id":"sha256:3cf3e7658698aeaa706123817a1b5822c37c88506da70828aceb624b5b23d740","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 3, 7, 1, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e823d7285710fe2b54cca44c913eb15ea0b7ff798e634499b2c92b0acb5e1780"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:68427edc01a92051b22938bd7626ad846db4963726c894bd5736f1a1a2deed75","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:bb6b4227495f40002022357a4919c50a43e7f0eeb8f771ed887a77cf6aa1fe45","candidate_id":"sha256:9af34cf301cd6e4b7eaa5650ac102c979f8df7f1d5b0d21bb258f2990a21ffdf","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 3, 1, 8, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3cf68c7c92adcc2315146c6533735805e1f2f5003453a31153c6f999273572a6"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:68f05ea2b49805241d5411e5e90400b591faa656061b64bb727eec9d5c378fbd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 3, 1, 8, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d520b7f6bc659fdbb36bc327c12e94a3adf8ec139320a6dc7bede0494859b25c","rejected":{"artifact_digest":"sha256:ed7c41e070c5cb2c9c24018dacb2966849d4ef06a3d48d07f2dd04e15b73f30a","candidate_id":"sha256:a9a71c3fbfff20ce70d68a0d9fd86d3186691633c4aa55ca756895a79caa0ed3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (6, 3, 1, 8, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3df01d4ccf8d4c8935a7b830bb070845c2f03d81ab190f842a12ac6ce0253fc9"},"sample_id":"sha256:75c676040ead328e33b66a20e78b71aff80cd1ac045e462c9213fb48cfe57c30","source_transition_ids":["sha256:982ed57b04d82044889714b7e5d29650ed087436a15aeabf0407235d72806a8f","sha256:2f9c4e7531422986da9c6f686fb532a632c8491805a9aa8282b341ee9c0df3fd"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000043","trajectory_id":"vlr-formal-v2-0000043-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:51ace123bd3e168002ae56971383f5758c7486f2e94a580ba14befe2628b7644","candidate_id":"sha256:b9c13d8711617d94b412ed69c9e87672f4176f8a8d262dc4f5a9f5d23f0adf4c","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 11, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:90062ac1a815079cc2b3711229ed264e76762cf659562a5511939d825eb4f95e"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:a3c649c555ea053d8b32e2b60d6fe94280b5d9fd831222f0b50339d26814cc88","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 11, 11, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4be688d643d90e9da1c591ac5f2de3d62014a5a848a76cb0f019078917efc5f8","rejected":{"artifact_digest":"sha256:2b1d201865541191cc0163ddf76fa909bb6c0dea07136a6e543ac5251bb35f9b","candidate_id":"sha256:f73b2baa57b1cc6cbadef4270b77c6fe9c2b905255a11e16ec58021816dd84c7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (6, 11, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f9d862224c3792247db6ba2f5c458014d0e228a44d5cec9e3d2115f04bb61400"},"sample_id":"sha256:647d203d10eff234945ee8c35664d7c7b36a7299b6c30c81a80e57e94b16112a","source_transition_ids":["sha256:c07ede33a2b2efde97bbaf52756324055197abb5b0dfc73c46b4cf232af01a80","sha256:bda031bc7795b56a622b0eeef0056d1074d78e8aefd45f0b4ea83d59e903592f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000044","trajectory_id":"vlr-formal-v2-0000044-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:115169a3dc0b66b4bb469330173a4fbe79f11a5892cd0dc94d27f732b42a43c1","candidate_id":"sha256:2513505f1a9250d5c84a1b47fbd668d4109534c5cb2c7ee101e95d03f6136522","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 11, 11, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f47aa20026b1fdaf3f9c7b15410eea05331f1df43d50ca6bb2a8cdf54ee6572c"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b9c13d8711617d94b412ed69c9e87672f4176f8a8d262dc4f5a9f5d23f0adf4c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 11, 11, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:02a67d904ffd80c206d820bf2c37e6e7389e029d7eacfbcf1b955faf356fbeb0","rejected":{"artifact_digest":"sha256:d817c19eb2f9914d119c86b372a2c7235452e89e53cba475a0ee2afe0cad4fb6","candidate_id":"sha256:a35d1b730601864015925b00b832eb6b8f548a00563617b04aa5f3e6f2a1beeb","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (12, 2, 11, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5ef946be7b8d81e9a5e36882ba4e776af462791eb32d3f9a9d0a058c7cf2911a"},"sample_id":"sha256:64a1f0130832c7e04983d5090a5e66d115221e871daf4c949ebd8eaa93f29d3b","source_transition_ids":["sha256:888fa2ae1b669f7ae78b3961a41a2cf63d681e30c814ea6b90f02d06e4609f54","sha256:32a49e09e75e67d9c19a412f3563aa2b60f5db1f9e51b6e1456e16ac696f17d2"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000044","trajectory_id":"vlr-formal-v2-0000044-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4025044294f42860dc8ebcecbbe845ce4dd87a3720696942bcdfb14143b0de76","candidate_id":"sha256:66ab7d274c9130e13a18ce1583912fa001640b98b968f7c274e26bcc32299a1e","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 2, 11, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:afc14b3101695202945be18762fb13d909cd58a2b84d16c15670bcda0e47eb63"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:2513505f1a9250d5c84a1b47fbd668d4109534c5cb2c7ee101e95d03f6136522","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 11, 11, 14)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2e9234825ce5a157d59614e02f317415cfef4e926ab3c5f0d6768257e6a1bc46","rejected":{"artifact_digest":"sha256:162c3781451e9e1fba094e3c80d552b4072870aa501f4f7d4d399f4501e01777","candidate_id":"sha256:4a0b148367144de95c79d5e972544ebfef5b453d0464271a7c60da00cae94dff","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (5, 11, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:adb1d894fa95182f586f58a436bdc6daa95d060115adfc3ed8e5e5f26b1610d9"},"sample_id":"sha256:b737ffdf3a118149a788508fdb92b59b932768850c824eaa700ac58ba6bc5a21","source_transition_ids":["sha256:8289c13d2a29f31effdff977c2073798f54c2545a08f703d4d4f3ce06a7b82c9","sha256:e83580bb641d008e2409231d101186f792ee94b89e79bbbdf371966f85634ae2"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000044","trajectory_id":"vlr-formal-v2-0000044-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1f8c7da51694f6cc09cf754e328b4c8732c6bf71f45b400bb214f9da457609ed","candidate_id":"sha256:b758ccc7df489f1411498310847cd0bbf1242b75e69f6f89c7ea34fce280b950","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 2, 10, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9bd42215ba4831f13cc4cd515592d56c39fba94ced8f650a24c51607caf60c8c"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:66ab7d274c9130e13a18ce1583912fa001640b98b968f7c274e26bcc32299a1e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 2, 11, 14)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:70477db16d4a02fa264c7331221d86cb19bedaec3132eb495a84ffda8cbe654d","rejected":{"artifact_digest":"sha256:9c861491f7db30e68ae42fc500129fda642eb72ba836025903d97ec36a802889","candidate_id":"sha256:7498eae3eac18234920a4a116cf424fca4189d8a71d281be997250f999dd933a","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (5, 2, 9, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:12b45a9659b379e11111c358b049fc23f74e798105112e96de9aaca28569d83c"},"sample_id":"sha256:0efaae2af2201d5f16a6713bcd74fe6ac9d450c597fcbfbc0b6beac687d58605","source_transition_ids":["sha256:f35b02ffdc7ba5d150edfff9d86a446cd63a801ec85e9137bec2763ae094f7cd","sha256:504c1fbe3181c2220d69e82451b400e7db98336113ed3d57575fda8ce13bdba8"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000044","trajectory_id":"vlr-formal-v2-0000044-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ca89e5478061dab187afed53b5ad39d3ef5b5b806036530cd1e898379006bcaa","candidate_id":"sha256:7d8b9b293f9842937a4993db30707ff57820502b5a3b95d1eeb3315c9149d316","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:437ab55ccc8e80f094b2956cb02a11e9d771d6f46eeed566c5cd7e19fa364b50"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:6161a8f30ea464624e0e90bb3656652fe7c7ada23a9ab0198ff810e3550fac52","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 4, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b8dc1eee822aa73a0e8ab52c8fea72d2b1aa0e9f16f9d2cb8e0ee4dc0a75487a","rejected":{"artifact_digest":"sha256:318a83880115a1cebe31e61bee062a17210f6ef32da60232e49f2b314da463c8","candidate_id":"sha256:e24643523fb080a06cc33c0cc7c33381c9d424f08dfd49216c7112a0b23b288a","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (3, 4, 2, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:cd0daad3f195c765444b6cadc27ed707aa81dd0045e8cf7d2de1dd101d013498"},"sample_id":"sha256:156707dedec0a7d40a233016614c014c2b27dc7cb6d9eca8810c0245d10f4b15","source_transition_ids":["sha256:3e9b6f98ec50c57a972c95e45714250799937a305a4a550285c8dd245a85f656","sha256:b0de6a8f6bebe8919487e810cf5d0403c3f7eee82335df62e5ca7e5615079201"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000045","trajectory_id":"vlr-formal-v2-0000045-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fb2162222e9ef602c858a83b028ffdf0a4832a51eba935c1630067f2f4be3e9e","candidate_id":"sha256:25473cb7f0a6b01b3f5e14d8118af1e4b7ae188496cf78429e3c6636a2dad6a9","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 4, 5, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4571ae812c799f0d6f47c83511acb9099e025da7a74241b4af168db8bbc363da"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:7d8b9b293f9842937a4993db30707ff57820502b5a3b95d1eeb3315c9149d316","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8f1a22e6b2377e706667e49f962166ae100a60d6a073c582b984bff8eb307f0b","rejected":{"artifact_digest":"sha256:7f5aadfd00cebc69c33f4ef6b6e934487f6ee22673996b2336dd30f6d04b029a","candidate_id":"sha256:76e33d53f70151b6d336f933f8798633e1563e3b8b4d633880113b62a3533ce0","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:21a673d6b03d91bb0a6f07e3e07f811473347569b5b14e99e233490334055cdd"},"sample_id":"sha256:c14d0f8f9352a96641eb52e5e4166986957e655b59738aae5a76e05800cf595a","source_transition_ids":["sha256:7b5b8822a4f3fa83f0b44b3f6082a2704d29bc17a081ea329d5ff8b84df176e8","sha256:55bd41646a82de5202e7b579ca60c8c5dee8ea13161be0d238afcc956204d937"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000045","trajectory_id":"vlr-formal-v2-0000045-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:faa7d28f96ca7585a55139913db4219e9766670b20b1d227d044ef2291ddbbf6","candidate_id":"sha256:e324b55d121bf3e608886aea58f985ada5d81047675a6d6ef3c453f264207d27","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -8, 7, -1, 6, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3387d988f71c7bcccc6344ecc3ec81fffbed6889ade5467a16a05025f2903cbd"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:aab3829498a298714e3afca8f6e5ad06de8f718fc3bdd16cec5ccbd2aad37c8c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 10}, {\"input\": 5, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -8, 7, -1, 6, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:70234283f51896da4d25829664cf6acd7be0e5875608ecea2b0234a3183aecce","rejected":{"artifact_digest":"sha256:32eca436f588317548337bd6f8209eebe5064016ba96096a2b0a81b27ad5c3f4","candidate_id":"sha256:b426a2eb9c62e82350d888ac8f192b0dfab4c0618c7696d9f254e54e0f017b35","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-5, -8, 7, -1, 6, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:784d71a45aca4f46d0744cdb25f41f8a890828c12a0477f20bb13d2a8bc65e4a"},"sample_id":"sha256:8d07a27010dca769f11172601198a2fe294bde4b1963e017b51d28d91f8db911","source_transition_ids":["sha256:1c53decf00c9af1e13df89dcea143e8450e6ae5e8a850403679de5fbac9ad176","sha256:9e415aee6ebac7dec5b14bee1477579f8f6c988182d7a512a0006a6148aadc18"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000046","trajectory_id":"vlr-formal-v2-0000046-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a2c03e3b461aff846596fddd40b0d771671baf768b75fb48ddb794ee1f59514c","candidate_id":"sha256:2841bef71ab6caabfd94ac028e9d7ce523a71d8ea0ceb10e3255e6d35ee302e0","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -8, 6, -1, 6, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7e79c6600d0e8e64495258b6a219c07f217aad87192bac0e7c7a70ec78d3ed1a"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:e324b55d121bf3e608886aea58f985ada5d81047675a6d6ef3c453f264207d27","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 10}, {\"input\": 5, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -8, 7, -1, 6, -8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fa16947e7b387c807138edd6f13d1bb2da648e76d6fc8dfe281d2de855cd0c97","rejected":{"artifact_digest":"sha256:bbb074901344ec67073a5473f3f04772e59be20f22d964cb363b09fae55541dc","candidate_id":"sha256:f06d37da88f83efa46e3eebcafb2eb9f06069bdc37914a762f1202d89f45470c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-5, -8, -5, -1, 6, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:045b988458d92138ad694868580d93046b96f3318c9a8d33e8320afbcbf8932e"},"sample_id":"sha256:677216ee81f9801d840c1c0cb47936856ce6b82c5c3d0aa144140133bef3b740","source_transition_ids":["sha256:c5005b6803dd4d337c320509496771aa9bad8d9ebab30856e76e30c9dd48a4ce","sha256:f68fad26e79275f4dc831041919e673eb5c0dcd287ea2cfc16ed00ed32026a9c"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000046","trajectory_id":"vlr-formal-v2-0000046-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:92780256c5c23681a7646318c9f5c4457303ac2bd1b8a01bb2c006c48a8d7b46","candidate_id":"sha256:f5d55b93fca89047f7c0e8212dcc5d1476622caf1a68c025d6a472a4ba816525","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, -2, 6, -8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:84c238d7dfe1bbe23e88c0691d3c3a6f945ea405b64985d48536b1985b48a245"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:6e4e470733d3943a1c8d977db319b003b963ec3d1dfdc38c225f7eb9387b1ee4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, -2, -1, -8)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:11fc42675dcb2d38dec218ba46852b47fca7b6a457c4be98967fe2c9a731b4c3","rejected":{"artifact_digest":"sha256:bb0c10f41003c62139dab939c1a74cf78cf1a870c0058ed552371d35a6276126","candidate_id":"sha256:3deebfa8547abe0d144aa3d32481a9cb6940aa7849491ff95666a856a85a18c7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    table = (3, -6, -2, -6, -8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b55416780be2f78cd0804c2e07bcce220de8e01c51b513ca89d7c07e1d134c7d"},"sample_id":"sha256:3e1a63ddb93c705edb6beb074ad18efb8c45cfbdcdc6057ed830f80ad78554e3","source_transition_ids":["sha256:d115746939f3734a310833e13f79fff0c12347a213ce9c80f1e10064402d73c2","sha256:0c6e69f4bda0634edd39ec7e7cae2f683127da4c4dd25f315d277736e1a7110a"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000047","trajectory_id":"vlr-formal-v2-0000047-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bba7654869b15f6a750f1987aa9a223b349612e92f9e313779a24dc78f3e45f2","candidate_id":"sha256:677b6e553497a577f074f40aad0c4ca195d13a13010175ccc87e807e6b657bf1","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, -2, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:042a36b8e9dddb77761473e127c0e2dd663ba656ba6eede7c5cbf51f1a4abb76"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:f5d55b93fca89047f7c0e8212dcc5d1476622caf1a68c025d6a472a4ba816525","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, -2, 6, -8)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:660759dff6fdc3ff3976b1b4d5010a414aa39e00ceafe87e6b56ff1beda542c5","rejected":{"artifact_digest":"sha256:5b7d8a4a298475227bb197f31e5c43f21b832ab61069d7846ad3d1419159de82","candidate_id":"sha256:e4d1e7619c8f577a55fd6bfce1888c3703f717cd4fcbfb02992ddfa594cabf13","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, -6, -2, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f9da88c844329dc9694eec5e1f9144794d6a440d42dea4f565d9edce88074d07"},"sample_id":"sha256:6095901e8e6b2aa0766193da27d1e8109d363cba5146452290918a2d43bfd7ac","source_transition_ids":["sha256:3d255453ac6943b84ae68bc9f26c074c1a2b87a6983eb123c58e65908c815057","sha256:5c98bf5d59cd8fe9bdd27e739e52fdadd5ed855fb71a54e5935ca6eae40b476d"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000047","trajectory_id":"vlr-formal-v2-0000047-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fe13dc27c2df595144ea7cd38553ce8a09898e63c2033628b08315ed5581df07","candidate_id":"sha256:6d007242997747a5bb41c14743a93ad1a59892608b7b04a6faf347319cf7fefe","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, -6, -2, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7bfb22d3db598df96ac5b1ca225bb617e5088449dd8fa85b10701705c5ebc805"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:677b6e553497a577f074f40aad0c4ca195d13a13010175ccc87e807e6b657bf1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, -2, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:63618653a626605c0d631de3853aff947e31f2f602583a23a8fe0dc753c7bab1","rejected":{"artifact_digest":"sha256:608f8d029698aaa6d8c8a0c0b2eee521313b618364705d0756c2f7591bee4716","candidate_id":"sha256:e54d27af7ca4da24c7b2c9a903263ef5ec19c0000c30ab5c90874b11ee6aae72","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, -5, -2, 6, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:487a519b8bd679a358b4315502ffd1f38240edd3858c64419284dcb76f713520"},"sample_id":"sha256:894ce3cbcc67b621a539e1ad49dc3e743cc1d9dc4c36319e15a4295cbebad131","source_transition_ids":["sha256:e6f15b6219a693501919ab2d63f45568408c83bed158f9db4e198af47873545c","sha256:89a7e742bd70fb128eeb217af9fe09734da9a345d5376225b7035ad49fb59907"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000047","trajectory_id":"vlr-formal-v2-0000047-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:45f4711f98dcc4cfad248a285ff897207a2256f7716885d7038fc8bcfc886dbd","candidate_id":"sha256:72cdd3a513e0074d1f6372e39ef11138065c5d3f1bbc7ec59535f31052047bab","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, -5, -2, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:66a817e58044f058c48598f698c3050641f9ef7f0638585d82ea840ac35dc132"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:6d007242997747a5bb41c14743a93ad1a59892608b7b04a6faf347319cf7fefe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, -6, -2, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f30ba9419840f833a08191a94f779b7e52727175eb9ec5f925fe64270a5f222c","rejected":{"artifact_digest":"sha256:1fcfcfd564f1f2ddf44ea2a0c6b034e671f16e26cae279f1e8ee60c1154e1876","candidate_id":"sha256:a60353b5bbb510d102092c2a09b6fdeb01b75ece934a3e4929775defb51ace6c","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, -6, -2, 6, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0863b41efe9ced40a2d6d20da18462d7374e493316e159872cad6907459b0efd"},"sample_id":"sha256:11f3568e8b1045bc456fc5275e7a4f51cc3f9bece06dcc56ee6ef9239ecdb530","source_transition_ids":["sha256:b948751ab657252fd680a04cb4672a69098af356762899e12f38130071b8c65f","sha256:49aac71169a789e09b87cc05b9a26bdc8ac6bc6b6b0420c6c27a78de8f5c2f4a"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000047","trajectory_id":"vlr-formal-v2-0000047-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9fce06ea24a2e5eae25441559af8bbe601050fb0ca9cb5a5310216c5bdbea5a5","candidate_id":"sha256:24910c7c07a0ac31fe568c92607c0ad07211837442db80450e75d5aadc0dd2b0","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, -5, 7, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:acfcd940fe2f04ac2b891c203d4224f04085b540355ff1722f02bde2a47930f2"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:72cdd3a513e0074d1f6372e39ef11138065c5d3f1bbc7ec59535f31052047bab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, -5, -2, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:09252bd2327c98a5036a0c96af024af954e77545bf3b0bb0b4e0ab809e71869b","rejected":{"artifact_digest":"sha256:608f8d029698aaa6d8c8a0c0b2eee521313b618364705d0756c2f7591bee4716","candidate_id":"sha256:e54d27af7ca4da24c7b2c9a903263ef5ec19c0000c30ab5c90874b11ee6aae72","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, -5, -2, 6, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:487a519b8bd679a358b4315502ffd1f38240edd3858c64419284dcb76f713520"},"sample_id":"sha256:6146f48f29ab9993a7a7d41003bde8adc44430f4f111c60e435b02238e341a27","source_transition_ids":["sha256:6cae6f2a97e277824b33ee4478eb833c26419ab0d5430ba6858a0aa00faaa4e0","sha256:f35efd562b4ed4dd8acdc89ed1b402198825af158d940d7d9b68f208d3bce3f3"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000047","trajectory_id":"vlr-formal-v2-0000047-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:45304017b4e98d1d51caf09a2680484f88a387a89a8a3334eb7b1c53484fb405","candidate_id":"sha256:08c14d4c567a1836b2e90bcefbf0ac3d72327ebfd2ca840471956a4aff7b54f0","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (8)\n","verification_digest":"sha256:05103de3ff60947721210565122ab7335465b67ce89c2b85b7da846aa7822eb0"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:0cc8b7b9455ed4509d039aa38a458c58c89d4e8c997d73670b77d731b7252b54","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-9)\n    return x + (8)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0b5a3f430d6a64f861bd1150a1c9e29eaffd0c0a31421a2f57654d5acfa830f7","rejected":{"artifact_digest":"sha256:a9af67411d32ba145dc0b2802ff7881bf97567e6eed87aac41a74a6bdab66583","candidate_id":"sha256:8bfd5c0ef5caee1955134e48b9fc2dc7bf4cc4d2a2b045ffd9d2192ccedcea25","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-8)\n    return x + (8)\n","verification_digest":"sha256:6790a64bfa2a990f85c26aaf66ba7e7df47518ae4c63f3ee64dfe36194d1e7c8"},"sample_id":"sha256:efbf2c0873a95062982ad61751157b93c357b8b58b00a434906134eaf9e9ab08","source_transition_ids":["sha256:813d8fa214c1e09e065bc714baf9eb08a5c225ea0fceaca493a2b8f27ade7353","sha256:97581b5db73bab85478c9ebc7e9f30f0ea3f6726d0d1eee8c18dcdadaa1fc50a"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000050","trajectory_id":"vlr-formal-v2-0000050-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b9f37b37b57977224e6f743da869f2399c65b12698a2f0d44466ebd3a7601e51","candidate_id":"sha256:0a76ca6b19491ab45f4b2cfec8045d99b2e52b97efb7b58b152d931529611f56","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (8)\n","verification_digest":"sha256:5b7ba9ff0a5ba1a4acf4d11be3b5fbfaa339a064e12f32e6e3add6d6455d2f0e"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:08c14d4c567a1836b2e90bcefbf0ac3d72327ebfd2ca840471956a4aff7b54f0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (8)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:141028936d724f2275b3fbca53b53fb924d8a57ab8fbd4dac875accc5671410c","rejected":{"artifact_digest":"sha256:0c6c7fce3c66de864e7f3abba7697fe11570bbfc187cd795a75c2c96a8a9ee96","candidate_id":"sha256:521facf11a6d2273f68310f00cea441cc8cb881f46250140b6e82815dcba1d3b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (3)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (8)\n","verification_digest":"sha256:deca25ef6841cbfbdc9e83a98152337be90bba34bd50f111997cbef73d8f3a71"},"sample_id":"sha256:3531e9eb0bfcafe920b8944d4cce9197313d9cf84535019ee6cbbbad907f713d","source_transition_ids":["sha256:95da2d8774264b7f684500c7f0862feee7a83ff14adc80ddefadaae4dcf00670","sha256:449de69abc7ae9b99de26fac8cbb573b10bf18d42972d7719905e36e69fe2d9b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000050","trajectory_id":"vlr-formal-v2-0000050-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:70457e91c499856082051cd10ebb5739df4fea0a9287286e1a48255e848cc0fb","candidate_id":"sha256:d4a0e0add93c34b8600db96da31b6629f35fd45bd3b2ed88f67bdcfec151c833","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (3)\n","verification_digest":"sha256:47be53f6eee6213de1688d4ca48d9a785e077e08ef68ffe6f10df94dbd5eeda0"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:0a76ca6b19491ab45f4b2cfec8045d99b2e52b97efb7b58b152d931529611f56","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (8)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ec4a17bdb68c5fe58bde09cfc5e8dbbac8b69496f9d072fe8609778356acb715","rejected":{"artifact_digest":"sha256:196a2fd9f1501c65a701a08d7fdcf5b3e3a946f2bffd71edcea65fd0b88d9a67","candidate_id":"sha256:e5f94a2f789abd67dfbf2144955f9c1715e3811d8bbd7febf8a1bdf3da45420f","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-8)\n    if x < 6: return x + (9)\n    return x + (3)\n","verification_digest":"sha256:32859e581bc989dc65063acdf5b22e004ed88be68bcf71ee97e3d4a0eb4d9ca4"},"sample_id":"sha256:6714d03fac7f96997dd3308c9f7c4b4bbf105a731635f6f6391bb3e4ce01a2da","source_transition_ids":["sha256:c630ba001c081a6a45284ef1f671e38ad9970c73471bd6d389ebba7d5cd3ae69","sha256:868eb0e93175d956e53133e03fbd6b847d8e54227daa51c62cd1981ada418bde"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000050","trajectory_id":"vlr-formal-v2-0000050-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:494a3f406bec180e50ae1ca8a04c92f751b65080c505ffb016f29c73ada7c79a","candidate_id":"sha256:0b7e78e5b653274e16486ac5595425b2848009b04434822b46a30664bd09a718","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-8)\n    if x < 6: return x + (-7)\n    return x + (3)\n","verification_digest":"sha256:01ef8676b239be6162b4d2457ecaeafeff455f0d0778e03bde7a0b173d23316d"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:d4a0e0add93c34b8600db96da31b6629f35fd45bd3b2ed88f67bdcfec151c833","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (3)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:33fa5aae14d15980388f193bdeaa2d6e3cbc6a9f27ee0e2dcfc36a1b535050cc","rejected":{"artifact_digest":"sha256:e999a5752948fe48c115d507ec9d4465ddf9db6a0b1f8377f9564c2655c6222e","candidate_id":"sha256:7895cf2c7891e09fffdee5040312efa7f0e2197497170615987d4050fa81cd58","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-7)\n    return x + (3)\n","verification_digest":"sha256:f4f3da72c032cbd48c83f0ea6a013d813f1c5d3b92c4947df04efddcaf5c40ea"},"sample_id":"sha256:14295eb5b5614097f9d30a0f2554c10557faaeb1efc4bbc9d1a16594a1cf8417","source_transition_ids":["sha256:72e234a345fff7a65dcefa56a8d186d5d1d0478dd706048388f480f5f1393030","sha256:2fa10a9dfbaff24a8493f21ff290156bf5aadcea1d06ff03a1bb0a9d8f768931"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000050","trajectory_id":"vlr-formal-v2-0000050-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b92e781d1e2627bffcdedfba5ee7df16377aaf289021b716dce67804c79bb32e","candidate_id":"sha256:a0415f0b4cc4ee6c97e3dca42696fb31a1cb30f125995ffe37750c23c1877187","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, -9, -4, 1, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b8d7a5ce78631dcdc1215bba7a168984a637a018ff5025d05626f1e8c7d1d301"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:eac6118fa6aee64d1d58286fc3cd69132a33220829a98bf9aec831feb002e5e9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": -8}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -9, -4, 1, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0ae3e8dd97a6ddd7d0742c926b92b6f4f6fbaaed9ee6ea74888d1f92b148f7a8","rejected":{"artifact_digest":"sha256:6f02624efb5a53e246580ed44a6258e0abb8168bd7ea0b7b60896d0bd7496c37","candidate_id":"sha256:b1758ab80183816801fadace46353fda5d2452100d84ce5f4f5c7a039e313a46","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (8, -9, 3, 0, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:87c166a342a81bfab59bea5599c0e9fafc441d9fa53992503b031ed0f63b29e1"},"sample_id":"sha256:c448031f6857b726172ad06b9ace5e1b678f12af799b3d7f4a5d482739cad229","source_transition_ids":["sha256:fcc12ac80e0e8e9df3e478695ae9969349034a2f4f987fb14bcffb46e834f743","sha256:8396eddcbd953075fd99cf9fa1340bb8072ae260e4619001c4d8fd6b0d5386f7"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000051","trajectory_id":"vlr-formal-v2-0000051-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:e3ec055c7c0069bcf0aa771a5b1f7e3f6b9ac5a1b959832ce190e0cd0606b105","candidate_id":"sha256:74cfc727dc7cf6796b8d852f94c545877b55125ab002f99855b33fa54473c578","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -1, -7, 4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e148dcf9643cf5b85033615980791e8382c6aa6184aec3b4f79c7d8a5f6a8db1"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:6b9c93db04c44031906b148c8413f5858f22bba573bb83032b8bd64237e8358f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, -6, 4, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:aa0344e6b977df334ce8a0a8d3eedae54da4f3f6cf3b8d88881f150cecda070d","rejected":{"artifact_digest":"sha256:106c485d32e60be03d6ac6668edcf6b64864e77ea4d99dd9414c6a90a76b80ec","candidate_id":"sha256:98bab2acbbfdf9dccf14f7628d2d4dfa64301f4d1030e11f4a742a5241a0c8f9","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (4, -1, 0, 4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f55c7fb9a1face1813d6e9856b446e772277263e09cc2eb97b6639a4815228ad"},"sample_id":"sha256:a454b4f6e1bde5dcc41bd5a01b2a511bbdde26576c5b1aba1ef8ebe475da9524","source_transition_ids":["sha256:67ba946f874f8193e58931c82db18b1ffaeeccf29b693e48568548259167a785","sha256:f7e8666ba6d2cfe020b2c0739a48a45d926d526038271a15a6d7fca1979fa4ed"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000052","trajectory_id":"vlr-formal-v2-0000052-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a20761a1f6ffef7b2aace0886c00dd10d9603c8553d8958b15a087621a712409","candidate_id":"sha256:7d7891af9d77f1dbf450cc0f29c58484736b5613fbe55fa140a5810a6a8e2673","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (9, 7, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8d4224e887e814283271d9ada63212eb14d99d5d1f0ee487418d27da8571e9b4"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:0da66fa0fa501a57bacc9b1f16f4841e675b7ac8ee2c291a200e7ac509d7c694","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (9, 4, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:37af755b0e10b0f59b83c9101a79b4fda83ac9081929ff82ac76cb8f64e3dd30","rejected":{"artifact_digest":"sha256:b80702a83820f17c76be48f98c0f4a5d7f39bca950edca6bb93003698309e496","candidate_id":"sha256:e405f69f042e58c711f6f6c009d0bcec00b5fc2ef60721632d953c613b7b3eaf","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":8,"phi_gain":0,"phi_incumbent":8,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (9, 6, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c5acef3f0068e5aacc4a68f685816abc45997eeb28deded0674ec9bf582b0372"},"sample_id":"sha256:f6f5dc600ed71b87d4116fdd15e458288e5bbaf698776e0edf7d7c511b2d3930","source_transition_ids":["sha256:be2d45bbf9cf19ea829f5b3afca6c4d15e8ecdbfcbf0debf949026d8c0df37f0","sha256:3e7291d885266a44337d42574bc915262cefb28ae2297aaf55d167f004e2c25b"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000053","trajectory_id":"vlr-formal-v2-0000053-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1983e4f0ee31ca5ef5cbf70b3e6ff3af1d4738097179e69863dc12523e469698","candidate_id":"sha256:e69982852722727394b5d8594bdc1e35b2c8ab2aae57d9cf6891254073db0fe6","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:860709a5a769fbf329d5dbde352af1ba7cd810454c6326d1d5ce9f76b3ab275f"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:7d7891af9d77f1dbf450cc0f29c58484736b5613fbe55fa140a5810a6a8e2673","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (9, 7, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0143cc839c6f326a3508dbfe5f0b8c5f0d03290957cba8f2ba326b539e64f2b5","rejected":{"artifact_digest":"sha256:1cd041ff387a53dafb20f1c347f6a39ec16c9ebc4b66f48e9eb400ea76207c8c","candidate_id":"sha256:e9f97327691a4ac13a5d6f0dcb659df99a7d8e675a40768661a124b5d36f9d79","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":10,"improved_coordinates":2,"phi_candidate":6,"phi_gain":-1,"phi_incumbent":5,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 7, 6, 3, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8eeac258042e2b4b6a4ab8b191bb2e5ab71f62b45bb2eed4f93e03596fd5a14"},"sample_id":"sha256:985c03d3555343ab3cca7d11a2b65154bd0ab4cea14b5ec04f500e7c3020eced","source_transition_ids":["sha256:49ff0c7367486dff319360e7310ef670fce85feef4773be5ab258b964ca7c78c","sha256:5ad50afc483e81a2b390f8d34971bc38e159d6c919150ad8a1fb383dbf50bb0f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000053","trajectory_id":"vlr-formal-v2-0000053-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ac22d35e280018ea7a86376617caa3441944d6925d2f8d2b8577e7234fd4444c","candidate_id":"sha256:76e4ea6cd2964361d3654990384e225d75e02868f787257f76cffc2290cdc5a4","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 5, 1, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:fff461e08daca6659d0d458bcc6dd04d9d7567d3af232577fe243d7b8fd1e19d"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:e69982852722727394b5d8594bdc1e35b2c8ab2aae57d9cf6891254073db0fe6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6d9ccfe4efeb440e2719488a4a19c0a35193714d206d640c8287f6f92d9ed3b8","rejected":{"artifact_digest":"sha256:a20761a1f6ffef7b2aace0886c00dd10d9603c8553d8958b15a087621a712409","candidate_id":"sha256:7d7891af9d77f1dbf450cc0f29c58484736b5613fbe55fa140a5810a6a8e2673","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":13,"improved_coordinates":0,"phi_candidate":5,"phi_gain":-2,"phi_incumbent":3,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (9, 7, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8d4224e887e814283271d9ada63212eb14d99d5d1f0ee487418d27da8571e9b4"},"sample_id":"sha256:33eccca487fa1e85ec1b614f454c2c3eb7875a0f04402a1cf2748507f60646bc","source_transition_ids":["sha256:64fe43648020cdd5791b4aa751107af9c8b93432c3663c90d122ac2bd99ba502","sha256:1390392a8a2f451dcaaf5b7a3aec14c15d0c181de03f17497487d5d82bd86239"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000053","trajectory_id":"vlr-formal-v2-0000053-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e3ee117cab0f919edf0c420a137b963c4b1519ce570dcfeb1e0c70fcae889731","candidate_id":"sha256:e48664ef1ddfbaa3d8e029394832e914775d443f4ba6a9138226f5352d213a3d","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 9, 4, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9e82608106eca767387ffa42f4bd3b255008b4756f2a7eebb504435fbaf7e122"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:6a14508b7a06ffff0f7f155060f88d41e8026db4be2de9577d56412c105e424a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 9, 4, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e8893878de20bb20f665c1cc756498b672232f6327a169ed5eeb0821da2ddfbc","rejected":{"artifact_digest":"sha256:164625a007b65ea36298abf0080f9e30a37078d7dbd08946f471e60eeb3300d4","candidate_id":"sha256:be30764acbd30724271a3637b4f5e0fe8e9f00ec63debff23e72cff87dd3117b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (11, 15, 4, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:6e0695fe7c00119f965baccf19927c061e1008cc5aa3ad24f4bc298a4e5b5c07"},"sample_id":"sha256:1b1e5e97279e0d52b72b632ff22a984cbd831865675e83da66b71f95e896b9fd","source_transition_ids":["sha256:fe0823747ee1161b3bd5167bacc47b170274c78d4fc1c11f26832d8945729a79","sha256:127bb63ad8c206687f744c483f330b5e8b25bfd469ec2e65209b95de0401828f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000054","trajectory_id":"vlr-formal-v2-0000054-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:89a2db165d9fc77f98a085f331eee8636394307e4a9a5e58029a642e233ef0ea","candidate_id":"sha256:dc5c0fabff7a8a3112963947ad763527de479b9532e5e2f9e16beb58f2ca62f2","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 9, 4, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:aff898aac41e5582b37e6bf7e398f2344163d1c9b2427ae7235807a4e69307c3"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:e48664ef1ddfbaa3d8e029394832e914775d443f4ba6a9138226f5352d213a3d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 4, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:24551e947dc9dc438cf68bdd1ecca19a83ed11e2b2aeea05463d4a92dedf6308","rejected":{"artifact_digest":"sha256:659965c735ecfd39952fcc672bfb40eababb672ce30f7babf8c233d62d57f9fd","candidate_id":"sha256:f19479ea6d2f20345f6ce55b4399bf92c8af09a6c1011e0d7e4f89c60a97cedb","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (5, 9, 4, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b5a1a7ae4bf7bfff2a89d61fabbc938c2b2d258be40930251f2d3b5bd3117b2b"},"sample_id":"sha256:438807e9f3fd5ce34ad3844364ed99e42a061cc9b724920f37d6f5b2e9462caa","source_transition_ids":["sha256:ad5c889a2b88722075a56dfd94644fce4c8ee0548f428f4cc2045870bcbee0b8","sha256:24a153c29ee9fd20e4958ec54d8a7550811aae2bba7040597f7e994671c90663"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000054","trajectory_id":"vlr-formal-v2-0000054-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1372e6ffc715f5b03e8a7b2d8083d35de5dbed6d76b5b7c1ee1e2dc3b0107619","candidate_id":"sha256:3d863399c1cbf1353371790204f0d781b67aa6ede43e9f71efff971be1d97b02","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 9, 9, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:375533a1e28d518d901bff35f09b86d108f5791c407b470274c83a4936487528"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:dc5c0fabff7a8a3112963947ad763527de479b9532e5e2f9e16beb58f2ca62f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 4, 11)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:11c5752aea0c34300483456247f392a3b8251b5c900dcd5e988cdd237e3b9ad7","rejected":{"artifact_digest":"sha256:9bd6a66ee122e5a95e6219dc51f73c44df375dc6a4c56396b6837e43e0935613","candidate_id":"sha256:97277d2b11f654cfcbcd26a7157666809068b4d3f0191c1d2ab9a3841497a114","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (12, 9, 14, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:cb61c4840927be07866415f9b61144eda7fbf3bbae8446f174504caedf97f46b"},"sample_id":"sha256:5d1c9d18b34a20f27fc4872e3b9f7d5ed951145e8f7d9dfc4b8c2b959f512381","source_transition_ids":["sha256:8e91eeb5ad780b7593aa629a9ac451491774d6a98a54fd81c215b5e073d9b497","sha256:84220a13c365178383dbed81a0fe97a2d1a4c415cc959df3f75eb79d980ec9ca"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000054","trajectory_id":"vlr-formal-v2-0000054-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:004a65409458fc85df439a501d0239d24a502fe12bdaeb19865ff1f1f578d0f8","candidate_id":"sha256:3bec5f494d0d63362e8e8eb71ac9574848d5af47da275fd2fb249df26d715ee2","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 1, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:68125f594671d00cc81072bb64aa6a30b337525695c91056d135d389a2a70eaa"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:69e455899663605851a837eb05ef2033724d2c42bf648e454402a7d2d5ad15b0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 5, 5, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fcdc9a8cf09fb28d341adeec4ecef583fbde2a05f5b1fc9ed7599c8ca5447a8b","rejected":{"artifact_digest":"sha256:54b612d7da25fbe729fb963d5e1fef0dfe59ab02ddefeaa3d392d8fc13d52cbf","candidate_id":"sha256:cf204c5c6238b2559cc9609245a5b96328eaa6aa5dc8cbcafce94fd1112d216d","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 1, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:050d13791dd8fe98498deaea2920aebd8b3a7fa5747d6694e937aa58dd49c070"},"sample_id":"sha256:6a927db0db26c3b6addcf9d19f22507a07ce7798ac71a87a632dea4689b51a6d","source_transition_ids":["sha256:a1a825f0755e8290b1e30c89df70af035447c805a9cae4757a2c24ab54ea78d0","sha256:58609feed83494ce09be7d8e384d069cdab23b8a33782cb67aeb4948c6e7dd8c"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000055","trajectory_id":"vlr-formal-v2-0000055-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e5e312ccaf7f4426bfa97a3b43ee28710d8f410efd689fe4a6f018de912ed5cc","candidate_id":"sha256:206083dbfeb6dcd7dad0e4f57c220c18e88fae43a49acf014b082f79ad834f87","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 1, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:27c423f2ea530afb6dc81d461c82e81c6241a8959bea35af25980f9d4e394087"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:3bec5f494d0d63362e8e8eb71ac9574848d5af47da275fd2fb249df26d715ee2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 1, 5, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:575bbf336927b8a3229dc87af2857288898fdb3f03919d03d429ea55a0a73aa1","rejected":{"artifact_digest":"sha256:8b1aecc82122f3cfe39d9c3431aba9d1b356470ab0cd24626aa0c9b4c2e5e908","candidate_id":"sha256:6751455f25163b1942774b7ed406963475b2325298107fe0d93c88565563883f","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 2, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:791423a51bd26fc4c94b6b6635de82f51ce696caaa2943c3ee761698ae262401"},"sample_id":"sha256:55135fe461ae5ec694322c691ad9e4ced54f0f5183fd2de72cdc37587ac15c77","source_transition_ids":["sha256:9f5fc887d6b9302a11d0338fff2ef9bb54b12484fdc036e245090976e9603bad","sha256:4ff78ff61ccf4a8ef8fb95fa0c11535fd05594d503bfc6f44ba927c380d25252"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000055","trajectory_id":"vlr-formal-v2-0000055-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e3d0a8b738aa3599367fac0b49447ffba2d2871a2e87d365c9fbd03446443820","candidate_id":"sha256:ce2925ade92bd68cf1e76677763389bcc06a9197681c528fecb4e5ba6101a0af","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 1, 5, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:d47d2e8654cb8adf9d84b097cb604da9903aa21f716897b927048f89df3f9459"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:206083dbfeb6dcd7dad0e4f57c220c18e88fae43a49acf014b082f79ad834f87","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 5, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b98bab94344009b0dc218297b48224ef3efdef8d34646e354273bf8546a07455","rejected":{"artifact_digest":"sha256:aef6b3ea243b7f3859e488278d6e0a177d3b05e8eec8a59ccaf5524a063eee0a","candidate_id":"sha256:94bc4254270ae8b51563e4f708f3c613fa8cbe7e0322d83c72362db9061b0d97","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 5, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:72c8e9b64000be4bbb099b2ffce9b033de2874c134e11b8072dd1ab19f03537d"},"sample_id":"sha256:a640bbcf4875d329776d03d05f9ee02ff86a2190dbc8e57b0fee82ea25af5b77","source_transition_ids":["sha256:5c23fbd74d09d6999858369ee551f57a06d4725744250e73418ba15239495181","sha256:7189dffe98939ca604b6c05c89a58e3b3f209ced70dfce0268c599c586327971"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000055","trajectory_id":"vlr-formal-v2-0000055-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e190899647b8db3f0449a58f278cce95e39ae18a4388125e22de4066949dde6a","candidate_id":"sha256:8520a4449ad43afa0b2cc4afdf23c0f0b01b8b1ffb519c3ebfcf57bbd3cc82ec","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, 6, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:50227542e260b66cf5d2515cb7e32c89f62726220eba37255e243020b0f1b8c3"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:8f2d87114421c784a95930811a0b03088f801e064c0dc9562fbc17a91a3b181a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:a8c3ba6a3bfdbbc51d76415683c3a1798a4431676f495f572592d728fc982ee0","candidate_id":"sha256:50d30924f9cdf2d76bee12c1b394b1f4156b9de42bf166e93a756b59ba49830b","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, -1, 6, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c0282d29366331f7c7059926fcd241a93a37153d968c44f8e1b41214d13dd2ae"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:8520a4449ad43afa0b2cc4afdf23c0f0b01b8b1ffb519c3ebfcf57bbd3cc82ec","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, 6, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f985ddaae46e81aa5b5fa83da808c41b7a72eac7c1c8459d794d446a167b6ee8","rejected":{"artifact_digest":"sha256:b7388ae397aa77192eab9bc84cc9a951517369f1b05bdc91340dbf26f096e2c1","candidate_id":"sha256:2259e89ab600b3b192d36d671e340be115eb9dd3fb037d071c65ed8d3ea62ab0","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (5, -5, 6, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:18b1114407c9678c5b83c6b45a30981c90b82fbcaa88412a10640075cd0d4fc0"},"sample_id":"sha256:68cd6a9b4b2d2c02aaba2052b0c66b5c00cd7b26c0a1370c9dea1cd74350566a","source_transition_ids":["sha256:11375f6fb86d416db8a245a29e9f6a57770e8296fd3d9185396f08cd0b01acad","sha256:12872dd26b0fc549dae67ff8ac93cb4eca644f6d3da7b14748bd4be8885b470b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000056","trajectory_id":"vlr-formal-v2-0000056-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3b37d16fdce0b649a0123b76c49cb59c43946b43c60791334e6291b11671af69","candidate_id":"sha256:22f39c52d5ac924e6544c295fd3e0da51ac8164b87aeefe3a9c0dab7256ade1c","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, -1, 2, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:05a051d23ea9550dab548b4238dca7c834450bbcd894765aeed5b50ef7d39ff2"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:50d30924f9cdf2d76bee12c1b394b1f4156b9de42bf166e93a756b59ba49830b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, -1, 6, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3a51b17b3b8ec20e2c8c6e6fc00e382d917d89747c4f2e399ab1081ad2f83d1c","rejected":{"artifact_digest":"sha256:b17b3f48a830fea29afc4a1a6f085b8db623166802aa83268430ebbc1ecc8ea8","candidate_id":"sha256:a5fff643ef211e2bc8f17bdfe49a0853ebb881008ed9912097d646d373ab61df","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (8, -1, 2, -1, 8, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:66985d84f008c4e1c710b1ea894519f7544b84da85b5e4aa89bb5382361dec55"},"sample_id":"sha256:2001941dcc7166c4eee0f3692503f14a9283e2f69fa278a61fb96f10ceab819f","source_transition_ids":["sha256:2a681b42561b934f42f96429ad5aa799b21a9159151a839a17a2752913b12264","sha256:daf0d62d1d564a81c020de612cd045fe51fa7f304a09fbbfe115313a74480eeb"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000056","trajectory_id":"vlr-formal-v2-0000056-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7fe56b17a961761feca7b69f99c04e880a27bc71b50726bd16476ce6f2fba1d8","candidate_id":"sha256:800c57fac5cd0547903ef9b4225ed3e2ac12317d96a3b6a02e30ce1cddf2d4b2","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, -1, 2, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3b2bddfbd290b4135a2af3e8819b6b9c4a10d0c415c1df85f088562fec27afa8"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:22f39c52d5ac924e6544c295fd3e0da51ac8164b87aeefe3a9c0dab7256ade1c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, -1, 2, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9b6535df06156c068a8efe7ddfafe53a5c359adf1b212dd909a32836517d7a40","rejected":{"artifact_digest":"sha256:69579f7a3320c01ec6661254abe4e6ae722c4cf918339f7ae2ab0847207612f2","candidate_id":"sha256:563b0c27a687e7e7520e9fa381e9cf1017ec5241e1fbc0409f09a899c720897f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (5, -1, 2, 8, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:be0f52054b3620b1946f2d79218699088b56e862a8597e3f18df3bede9438317"},"sample_id":"sha256:e18eca2376b76ab235eabf1e5e7adad5b4a86545ae4f7b760b54e8d0298a7560","source_transition_ids":["sha256:296f2e4c19b13031fac240d89d04744919bdada31897949751564680b74dd1fa","sha256:dd58407b89d012c44f0cca2fd3b79c0bfb349616b1ccb5bd82b28f41192bde9a"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000056","trajectory_id":"vlr-formal-v2-0000056-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6091069a843c1dd9991316b0b763f6cea4ac53f331367d498cd2688179e8dee8","candidate_id":"sha256:ec44847045b5d91ffe129b3941713bce49330c8329e9663ecaae7202db864672","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 0, 4, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7b029d27f142c46b4512756208910bc9e9dcdd078dd99f2f85299c8e14c84f16"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:1ca5e8741db0afc7b59d1c517531d3ff1e887e26039edae800c939b3bfc0e5ba","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 0, 4, -5, -2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:322de16cd48cb9ba0add716e1a76e4ed701f9331ad1a2e94146f7747f59e9b29","rejected":{"artifact_digest":"sha256:43d31379b9bcf0bec3cbce6958de875d122003a3ae1aeab8db377707072d47dd","candidate_id":"sha256:c03a3134d810d51a8da7fe68531cbac8c6b41793cd3e6b06798890bb77f57412","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-3, 0, -5, 1, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:fe303eb5ea8798cdbce0bf8f7344eeefc8a48c81d185cfded3d83b86f337a419"},"sample_id":"sha256:28bbcc0b875f40d48acc73a988329b664a0e6b0199bae4e03fa4367de25bdaf9","source_transition_ids":["sha256:df3d94a35ee107c236c9c10e762b866b25db7150284a5452315fcd738d0e1e12","sha256:d614a2ce705503a7f98439279cef34fd3f12964d0f03e59db0de6bf7b4278d0b"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000057","trajectory_id":"vlr-formal-v2-0000057-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:07a52c54b11ccf36d6b9dae59a4897f034afef5069c018cd40e09c001ad9cf6d","candidate_id":"sha256:8f6c8bdd408a9748e96f9d4e1f107a681d37051ca0aef34686e7dd592a16ae40","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 0, -5, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c50b9cc415be4779142a0e4e10811c39e7dee939e41de408dd7b398ca6e26c2d"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:ec44847045b5d91ffe129b3941713bce49330c8329e9663ecaae7202db864672","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 0, 4, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:31b8c23cbb91e5c1786d3388cc153d7ed9a3fbdbb28eb7c608adc98f2dd1a419","rejected":{"artifact_digest":"sha256:c1137c519852acc8d3e231efb6eb8240474861612d62ddc1194e005e7c460436","candidate_id":"sha256:4334d2caaca12467623469dcca844c26617266c711bdd78150386a454f55aeba","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-4, 0, -5, 5, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8fc56668d8857f6e7300cf6b3d9ab43edfd35d20ebb5c6d3e4d693cd8039e1ab"},"sample_id":"sha256:41fb219930d8b6c887aedd82d690dee8c650f47ae59a34a23694ed823482443e","source_transition_ids":["sha256:6e2b9ca4240de0cc0315b3aac3425815522059a417adafda4250440045f16376","sha256:168cc5aad65cf2b50016d1936bc603eb9e7a35ded757f1ae66eabb56585edd17"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000057","trajectory_id":"vlr-formal-v2-0000057-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9d65a1cbfcc38466f753a588b3123992c537a2003ee4ffb4f193b5bc9c2fdcf2","candidate_id":"sha256:e82de7663c86eadabd2a4018188572e4a385214b142e628f39b19be34433972b","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, 0, -5, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:eea126c369f0cb6af92ee73135193441a59ede6eeb140f46fe7b6989cec511f6"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:8f6c8bdd408a9748e96f9d4e1f107a681d37051ca0aef34686e7dd592a16ae40","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 0, -5, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:92f94321b2b12182ff39d09d0c305ab1159af8860538891ce7f566fb43233f87","rejected":{"artifact_digest":"sha256:cda636a095edaf1e3e9c244aa9ac6ec88fcc0e892a63331c4f82fff612fdf248","candidate_id":"sha256:f4d59d731ea4149a0f23ab71f7db96d62cffe088809657b79610a0e99315ab22","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-4, 0, -7, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:178490dd97813c5ddce1c8bf52977fdccb65e4f7cbe801dd58111b09cfcd5e6a"},"sample_id":"sha256:de318425956024452f3a6c226d729c571b7707d191dfa418e358be7d9857b025","source_transition_ids":["sha256:f5c8e0958fb49e2754fc7a875b6eae131669f65802efc6b16e20f5561da5af9a","sha256:2f06473a99464d3f1be9a1eb4c8787ee7fcb9b91aefb5048ee88f276120900a8"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000057","trajectory_id":"vlr-formal-v2-0000057-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5bc795a16cb881c4ccfda0ed138f3ef6f0337104fa85584c6f12d954a06e28ce","candidate_id":"sha256:0fbec7588322098f12263c72449703ae88438bb1f9fb03ef7a018d4dba431a28","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, -6, -5, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4acfc92fc91fa002b2697ec9e2221e520848e2cdf0afc7921a97a71ff79d68a7"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:e82de7663c86eadabd2a4018188572e4a385214b142e628f39b19be34433972b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 0, -5, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:37663b454f7677200357821ae57d89bcc3167fb279f5f0ca5721bbaa2abe3b8c","rejected":{"artifact_digest":"sha256:0bae95258ab8d8c6a57de98ae1196f9366af4439674c04831fdaa7b956b397ab","candidate_id":"sha256:ea8fe236625d2af32237fd502894180088c1c71b14902aa777b4773001a00b03","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-4, 1, -5, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:3803f755d16e19b5225ffa4fb881fb8a962f8d1118a5b1ee8638718cf4f57378"},"sample_id":"sha256:26199b7f04a7ba775bd68d1d6f2ec9523d1cc729376e6bd86f4ef501aaeecb04","source_transition_ids":["sha256:74e0e2a4cdd0992457555fe2b831dde654039f117dc2206087fb33cebe4964dd","sha256:5c7ffafeb870690ac69f2a2693572e0b6b5c26c96024d8e6f96e963362b7f7e5"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000057","trajectory_id":"vlr-formal-v2-0000057-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0036ded3f656c6c22abae7b02eb90c07bf27d26d91080365e473baee02511640","candidate_id":"sha256:7f33c58d8471f6ef053fda338b19ded0f651f703462f320a44703a6f5ff9bd18","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (3, -2, 7, -2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:f3213a9c0cdb35f4f873746305dba368f14fd8570f082a757894586266de8a2a"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:0e7f83c789ff6e359ea7b3e2ba1dd0f259a5815a162f3ba25c3f0f9acdf87129","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -24}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -7, 7, -2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0e70b9f64cbd2d6a793b34d9164076500970d04eccf598a9ecad0f8cc298e6fc","rejected":{"artifact_digest":"sha256:385561debce46e4c58a9361351a5d4fbaeb7f633b957d73cbb19d7ad19072425","candidate_id":"sha256:55ac4fa81249df04bf94510e33fdefb4e1e9c1fde3a47fbac62af4dfde5baae7","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (3, -7, 7, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:fe6c1ae9de98589363138f41e5aff006ee0be7f8624c50171d0518c24a6a75b1"},"sample_id":"sha256:b7a175cf4a44c3944e1c415ac115b416f782a58278d11992e559a483fbcd23e0","source_transition_ids":["sha256:d97359f45d957d29f6ecc01f542eb62227b2601cfb3afee0ad6bde4da9788922","sha256:63460a0f391d625d5125776ffd88919606a99403d9b4008c861d74eeaf672ce1"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000060","trajectory_id":"vlr-formal-v2-0000060-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d3e1a128455dac688f275331511927b291f35c14d0106aafacd077bb2a6f419c","candidate_id":"sha256:083a2b50fd06d2781fcfc614939e369a0ff4c0487a6e5cb71b3daa8336730b12","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (3, -2, 1, -2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:665b69446deec2eb92f242e0fca53a28f70c86c32270871ac6243ba724f9fae0"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:7f33c58d8471f6ef053fda338b19ded0f651f703462f320a44703a6f5ff9bd18","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -24}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -2, 7, -2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1ab6fb3e469635d9ad988b027e5659cf85e187e92ec71869365f024611332b9f","rejected":{"artifact_digest":"sha256:53010bab961a672bf1393b5ac26f39e60c6b17b08f6c25b8ac66ce34a0589a9f","candidate_id":"sha256:52a7c2db3baccd8853feb47e6248bbb6be3ddb90c4a0b7c2d0d2e6ac224a6da6","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (3, -2, -2, -2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:9161073861a6f85b94765c2b6de19316ebb7b5caaafa3731b78735bf6734d3fd"},"sample_id":"sha256:d0268b58ea02a838823587379843fec12600a657f9d5b05c4e116e704bdb1d21","source_transition_ids":["sha256:cc5dc75c959df5fa29b9040d2c98f4d49c21b2f94cfb20a746b306c7a513c0f4","sha256:ee4a659fc4c7a45603a926d27c4896ea2a54996c3c6813d804c4f824c5955666"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000060","trajectory_id":"vlr-formal-v2-0000060-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ce95c2695e5a7a4ce6e97b5f401627dd0ca1d1b7f3867b8fcc8fc074a3daef79","candidate_id":"sha256:5abad575a37946500129cca8098e6027a0a31bf2177e1cdde9dfe88b67551136","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (3, -5, 4, 0, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0c275826e00d58f3082c6f80ea2bebe649bc60ba7f64f80322de0ef5dbc28583"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:36513397ab27d4375fede244a021276dc65a90f3d620ee7d87c82a436a745c15","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, -2, 1, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c7aaaf191e24bdea6471b49356f468a063a7182fb826cfd8f2e803eb615a0528","rejected":{"artifact_digest":"sha256:1338af9d1ddc0a4edfe7f1eb27bfeaa7febe227cd4500e5121871d1235f1a4ca","candidate_id":"sha256:7f52b03fa302fbd84f8ddecc50f3f0673b1ea7efc2540538feb80e7bb86ddcc2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (4, 0, -2, 1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:3215db089b35f1ed829adcb7bac0daef2af858e8240b734efc9ca1fbe26032b6"},"sample_id":"sha256:fca3f99835e0861c9395b936a45043b6ea7a7f0c329c278270c10df9ee4e67ef","source_transition_ids":["sha256:59410c2d6f18581c4a771220daccd20400b967f0b6ac522d672c92e12119869b","sha256:359a7ba63aafe5a03a37a54c41270c710daa1bfa4fc8106598e9c0470efe480a"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000062","trajectory_id":"vlr-formal-v2-0000062-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:892f35d6a03b377f81515fe5aba7d1cea486f7dcf7d057b2e67c7217dd92c0fd","candidate_id":"sha256:28ccb0e75c3b3b5ca9548f5e745c39c48bc08e89796aed598e8052da38ba81e9","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 5, -2, 1, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9b83953ea8c2cf93b3f08b33307f71f4578085d8fef9ce52658e17a722c70486"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:654c6fce5fda195419c69451e91fe10c4b67f6f6bfaae2c64db9e3e90ef082d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 5, -2, 1, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2b73e0e4a436cc324ede22f316779eebe575f04ed6258e8296eb990ce5ac4cff","rejected":{"artifact_digest":"sha256:12ff6cfad259dcb79c8adf790531c474e1f312136da56f105493e0878424f9da","candidate_id":"sha256:afc5564f1df8f79863f96d22d6e0cfe73e4a92c9ad2aeea2d2ee2cdf728fc4b4","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (4, -6, 4, 1, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b7af7665ff266a4971ad87fcc39eac4fe10a3416b0d9755b3a840337c0d7f755"},"sample_id":"sha256:6f8a91484757b66fc5a2b5eba5c285ff551ebcf1dcad6ed6b23ffa0657ae5d7d","source_transition_ids":["sha256:4fb8e9d97b860ed524451223da591ca88508f23cf14b4c2b838dcb040ebdb4e0","sha256:01a8ea1be4b25d7ed33886088ae31b4703a3368569b1da7715ee7e67d21d3bc0"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000062","trajectory_id":"vlr-formal-v2-0000062-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3100806f4bb59d337b0f23c6e3a9b193ca813ceba54087a22605c674102b7324","candidate_id":"sha256:929d2aae9ca875007a86d3e983746b77e8530831c5d6978d3d39de1395282386","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 5, 4, 1, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9fff79723d88ced49b7b878801551b694f807fe90b8890fbf963910a0411b611"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:28ccb0e75c3b3b5ca9548f5e745c39c48bc08e89796aed598e8052da38ba81e9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 5, -2, 1, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5d07a0ce307879ca6b1a23e2d0bd221174c0d2f1d05d35630d8a0f96899f4081","rejected":{"artifact_digest":"sha256:0fd941dcc70bf6cdefe045dee902c3c852ec40e02a893f3c61cfefde28b077df","candidate_id":"sha256:16cb8f34324b16ff81ac0345a8e8a033a041262e1b18aab3436aa4337e592f96","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (4, 5, 0, 1, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:03022b3dad14ef5c35add92f7310e42fbf0c379764566259c3daa3f9e26b13da"},"sample_id":"sha256:7d5937e8634ab5e057dd6a37c64dd088881624625d7eebd99add18806a3da535","source_transition_ids":["sha256:3e46f0d6e1bd9e67b46c072202d2ec17e11177a59af332622260a40a53f05726","sha256:dc4ace6d6a36e72714848d0b219702d0667fe47ed819853a8b1ff6999fbad360"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000062","trajectory_id":"vlr-formal-v2-0000062-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:794099deafd95a73e32e95e650c38033c90d68963d9064700c91c35cb6c99136","candidate_id":"sha256:6ae24a21fc67aa6ed7d1b86c29e13ed39b85efdfbbb27d36fbf74e29130094f1","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 5, 4, -7, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4229a83435d49a50c0b527257c29680ed7e9429cd4c2443b38a37d47059a4f20"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:929d2aae9ca875007a86d3e983746b77e8530831c5d6978d3d39de1395282386","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 5, 4, 1, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2b56d96552c1b22925c36dba9f161b4b09c69d3c4261b432586135635302951a","rejected":{"artifact_digest":"sha256:7a07a65511c8a571dbe90a3eb67866cd83c85428afcb833ad0364ae566a6b7e2","candidate_id":"sha256:5dde4b21357c6aa041c25daa163bb990fcf92ccdb13311784a525ffe0b2aa5a7","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (4, 5, 4, -7, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:746d320e57de1ef278e8bfd0a2bed4aad43046a7d58c99d4b2c107fb434fe6f7"},"sample_id":"sha256:fa843d68fefd7687cef260b2a74ce96911b26da23995c1e4a84b14d89d27b2ce","source_transition_ids":["sha256:4e1f028f359d11b9da833b60b0620460fc77b3a39ef83f1650ac8f6d01bcb999","sha256:a35d302c3725455f8c48dd29b9faa97daaf0d4969474dfe1348334b137283f64"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000062","trajectory_id":"vlr-formal-v2-0000062-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:8fa18fb8636a27b436508c01fbd71fb67a97c1566cbce8c83dba519bb81d9968","candidate_id":"sha256:ddd45986f21745cea64e1a978222d3351546da1c7ed52a0c73bcbd35f1c10b78","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 7, 1, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:255e08236293663610f6d77284c51437d12ffd4a4fafc7544fb92137620eff00"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:e785a675c7ed0c2270bff1a4ce91e77143a11dfb8bd3c1264d13499b8f331ae8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 1, 6, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0f96bc5457ffffd11d407a761306e1a8aa463c2665a15290cb6dcfc196eed193","rejected":{"artifact_digest":"sha256:99585ffac4e6744f58194c385f5c561cac094f2112ff3770733226a478b00318","candidate_id":"sha256:f702b4b32889440aaa08efff98d77c8c30bc2446b825dca64cbb93c317d837dd","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (8, 7, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:38b2ed1f406687c330b1b82b7066f7942a5bc8cadbec422022739108ec2247f3"},"sample_id":"sha256:4f1d2fa8ad0c6f906d2a777068628f67874d1c89ed34aac7522ccd3892f36e57","source_transition_ids":["sha256:816bdcf5775879791b0088931c78f462328a60328ffb29afda82c47d7f166505","sha256:74da06d8837273f981c3262be8f0408873b40fcdf1862effee28d9a81ed75d93"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000063","trajectory_id":"vlr-formal-v2-0000063-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:01635b965e276aa323c3273644718790e66af39e05c0a1ae0f9b58070bd9861f","candidate_id":"sha256:d499fbe859def4d02d373d57e58554268836e7028a444c1f6ac0a6c775d5a027","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 7, 7, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2e1b4b092a502762dabfee51c0795a476d47afa11f572494cc4dd0728865c67f"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:ddd45986f21745cea64e1a978222d3351546da1c7ed52a0c73bcbd35f1c10b78","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 1, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cabe5b43d90f69963f8a70b2a798a4e4bb9d7d11986b8bf6bb79ef957f1046d8","rejected":{"artifact_digest":"sha256:f27ca091cf4d2d3b189821a3b0194d73830cfd3c7c1f4bc7d13b62e5232819e0","candidate_id":"sha256:befe0c2f13e8e59fa9af6d2722c64e7147e079427b7836a2c21273858b4ceca0","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (8, 1, 7, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:5b3479df8b62117bc42fe8046846d1db1932032d2361ba14c538a30d2ea4dc9c"},"sample_id":"sha256:25b12ce0719d137ee4b1b77dc51a761c2e9a551fbfd2e8e5f868ddacf3fd5312","source_transition_ids":["sha256:ffc73c21b6ca4d3532906f41c8dcaaa10aaa9d7f474df9360e1580a6a3a859e3","sha256:e6626a7e95fa2027d90035dbe823c7afa3b0bd866a8edf4c4e7a7265e386dd19"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000063","trajectory_id":"vlr-formal-v2-0000063-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4612f15be15848f5d2c0f5ab665202cef60b28bfad9264f2d8f436fda9e786be","candidate_id":"sha256:9fbc0dc21a859f04da48f975b1475acc8f6dd4ddc40ea360b947be5c78e524aa","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (1, 14, 12, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a36bc90b401d0830ee54270cf9e6f1cab8c04dd6e678fca316822535ff40fdcf"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:42c164d054ea9d5ccc082cdb211a0726a6c1255336bb81425de1d4c78bd40c33","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 14, 12, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ab65497726f2cd4a797b928d98dd480c2c61e007be709705977ab01af0a0d766","rejected":{"artifact_digest":"sha256:0360c85c3e2957cd18b2ee64b76b0b57e23df5b690c4108f980dc709d9ba318b","candidate_id":"sha256:34bb2f22a6fdec6162be29fe0588aefbc0b1882b18c7532020fbef79a890be1b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (10, 14, 12, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:52d0ffe4eafdb6ee49bc8b7fbf53506ec03d3bba1fc958425b26d62286b82bd5"},"sample_id":"sha256:d5f91cc42c7573802067aaa60ba24ee7cd0963ce3db498300c054dd562c3b952","source_transition_ids":["sha256:ba997a72a1e2ae6ea8f0382679fb7a6033d016a35a8001a2eec6a9891dac0ec0","sha256:12810622745939679e1de3680f3d5c720e5824dbb4027d0addec7ca6e9ad61f0"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000064","trajectory_id":"vlr-formal-v2-0000064-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1b6aab1b1a775e29018198de07d40716455f97d82627ec0759d9c29d0111bb0d","candidate_id":"sha256:1d2ca3cf8708c729e627abcb27d7bc17b26eb82d612ec6b43d07cf2a79af552e","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (1, 5, 12, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0bee98a3db96339002f71d5f6fe3b6afef8d2b8188406c52af97a2a09171dcca"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:9fbc0dc21a859f04da48f975b1475acc8f6dd4ddc40ea360b947be5c78e524aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (1, 14, 12, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d576d48a65d757f63677d01232c96501be2d2e4e6ec195d37c3fd992ed8dbb68","rejected":{"artifact_digest":"sha256:dd5c443d478c60a8b1a513026db3ea0c24136b909b6c1f53e86be7f610e53b0d","candidate_id":"sha256:67fa10395d14194b9b5ffe59f15410de3d5c3802ffed4220a19c82d929104075","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (5, 14, 12, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8132c901ebfd9ac9121fce9abdd0c8407c81d1214dc98287f915cea1e7778ba0"},"sample_id":"sha256:472f33c11e5f7b023745fc99c5028ef8868dbbb1bbf8ccab38a8b18c25bab8ad","source_transition_ids":["sha256:864612fa4af82a8908fb99c0ad403e4c87937fbf696a5abae4cba356ed24122b","sha256:4c92196f935d8e8234a816e3f71eff1e4c9c7517c7d300a6c1e5b81b69c6ff76"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000064","trajectory_id":"vlr-formal-v2-0000064-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d74f051c4dc39b3140a57367c228badb8e54092c71b91cc73b5038f7e7e3012f","candidate_id":"sha256:be909789f4764a6d5ec7eee5c7a39ef1041a197dea67ca975a35465f72dc8feb","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (1, -6, -3, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:faab8041d3b48878996d748d8e81ec90df181def72c9691f7f039552a7880bdc"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:c8db0e965a84a432252f83b4d5e9ade1098a39a0d21e49d64389cdcdf5214d38","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -3, -3, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ffd5081e03b1e610df7bc6f9f1cb2de7acb3b3a42959c656c8d2461d1e69600d","rejected":{"artifact_digest":"sha256:a974f4addd2ebe5bfa81b8231811c251bb5641df20cbd6dab0a32f4b55bfdbae","candidate_id":"sha256:43df9e5b3519e8796363d202ca402d91b550a5c83220e3078ffe431e68ed0323","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (1, -6, -4, 4, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:75729323d0ccae47fb94eaf1cfbbdf07211b812c85cd1333f2c9895060dfd22b"},"sample_id":"sha256:c8825fe194d2b433e92e39a5c06ebae71fa7f55b3574c0b7ad0600a0a71941e0","source_transition_ids":["sha256:0817078b44282a599ad48d949408ecd7a6263fd2c2590b2f1a16fa7bc8ed849b","sha256:12f7f7836e85be7123059c9522fe57959f90b5638d8b7d4cfecb234f08798f66"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000067","trajectory_id":"vlr-formal-v2-0000067-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5c0c7b12467dadb61319ae27bfb807eee985f6667ea64884f091a3e83863e572","candidate_id":"sha256:1b848cc003f8d3fe6135c6b33652ce6ce03a5e6dc3093b9c28cdc3e97ef2f18f","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (1, -6, -4, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:793410640cde6878a5b767b960221be3861ddcd8711cd79ee0131ac9a84703fe"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:be909789f4764a6d5ec7eee5c7a39ef1041a197dea67ca975a35465f72dc8feb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -6, -3, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e4e6eccb8b5ca6a1a4e1d565484e18c59a777d482157ae3e5581c56b260deae2","rejected":{"artifact_digest":"sha256:53cf6c086ea317a8cd57cc4df4ed4c5ef366fdcc43c041eb1a0310dfe0c06cb3","candidate_id":"sha256:1a96407ee2e5836baa425d97b1b02621508d9d8a7d078952cf4ae719740216f6","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-2, 6, -4, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:18e8821eb8e4e1d72aa57a3e4268355fbe93718fa7a0d5d1ec3a7a9612317bd5"},"sample_id":"sha256:45d22cf1f5780c0fb597555d2dea45a078976685223a3db3eea17ff0bc3ce8fe","source_transition_ids":["sha256:f217b384835c043636afa4d94689276fb96b11c197f94ef733315da6c1febbfc","sha256:af3660060640d5c500470a133452f092ba42bad7a679d1dca1bbf67d8db17617"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000067","trajectory_id":"vlr-formal-v2-0000067-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:97aead5313348e7d26708579e47391770cade4e1229b7dd32041733b8b9c9b82","candidate_id":"sha256:1f4e714a22d4ef33d9a0569c353a6d2268833f22915a093f3bc643cbac805051","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -6, -4, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4ff45e4adb533c5ae61dcf3a667a60e0f0213f08d5f20e048e896aff1ca1c6ce"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:1b848cc003f8d3fe6135c6b33652ce6ce03a5e6dc3093b9c28cdc3e97ef2f18f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -4}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -6, -4, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e45fd88e7199929b2807477b3c26a7eeab2b7bcd10b2b3bafaf89624a8dd0900","rejected":{"artifact_digest":"sha256:25590ae716d460fada0b3da513e88be188efd4edbd2c90bba6b816d6ed3a101d","candidate_id":"sha256:70d5afcf874af97cacfc4b6ba1f4a1155cd848de62eebb75d21c9a880c5aa6ce","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-3, -6, -4, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7d8819b4f3b84cd68aff0894646d7166261bfa2c5c3585995d7018209b55fbbc"},"sample_id":"sha256:7b757f0fe7db1b4a05f6322b63967854e76cc272f6bf9b1ca10a6c02d9f06af5","source_transition_ids":["sha256:138e018a2e09f12f32b3f8c1d198b92bfd2197682748ff0a9f8ac005e7385af7","sha256:06eff759735cf1583bd244cf1d0fa9bde73e9887c2c87fe0e9e393d2434db60f"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000067","trajectory_id":"vlr-formal-v2-0000067-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:33b5e3750f3b6de140c8d7aa9e75efef77a358d0bb577d8bbeccae2772bd0a35","candidate_id":"sha256:03ce41b3e539cea654ca8dd9c299d5627416830a708c29fd121cc68ee91906b1","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (0, 0, 9, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:349593108e15050a1cebccc77a047ba2b74f08d84f8a57aee8d4c10eed6b418a"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:cf6aac24a4caea94b2866c97c03ec935b9d44e7c6009c011568cec9084588445","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -27}, {\"input\": -3, \"output\": -3}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 0, -7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fb199c6c2c27d73fa895d2bc9df7b59c7d49fbb0be4c8bf292c20de258ffbb2d","rejected":{"artifact_digest":"sha256:efa7764eb5ccbb867c3c736818cf2e22f146ada011e3496df6c0798e0b4b410e","candidate_id":"sha256:2291f1c38005d76e9830f08f8e8d640075b1161b9ce96a2c793b90c9be3abf7c","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, 0, 9, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:12818f0ad1e2c47773029855e76e8615ce503366fc391b471213f8628d454e4a"},"sample_id":"sha256:07499fa0bb0d1482abe88ebdae731c67b4ac1a6e839587b23d887548405faada","source_transition_ids":["sha256:935ad6849d70828176e7641e6e1e07516750ce9fbfcc8015973d05b1906c25fe","sha256:aa1e2230cc320c18656472484c75d47de158b0efa72ed9442093c904f2679e92"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000070","trajectory_id":"vlr-formal-v2-0000070-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cbf63355a78b3e5f0ab7e7e35bd245b0242b378c773ac5da0bbc49789beabf38","candidate_id":"sha256:5435cdf33ef809f691d3fe0c41fa04eea900b2d5ab030633dd759b64ff9f864e","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (0, 0, 9, -8)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:33184b0bf7787435b8cb1512064106a9d51babe895c422fdecc2ace0f66c0b3e"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:03ce41b3e539cea654ca8dd9c299d5627416830a708c29fd121cc68ee91906b1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -27}, {\"input\": -3, \"output\": -3}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 0, 9, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:623eb6417df000985a4876c927b556386ddb5872e8fa17987f1c5a5cf6491e8e","rejected":{"artifact_digest":"sha256:4012a52442ca6bb9e777c54aad15029a4a23d418181e9f93b38d7d09b44c52a6","candidate_id":"sha256:add3f0b93771329055ac24382382a92944a7eef14084fb0e1d6cdaab54ee872d","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (0, 0, 3, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:d341fb6059c7a425f3ad52b5ea41e9dd0590b43ff40c19e7c35fd5397ce9b229"},"sample_id":"sha256:0e5a35d902b5227813ab83d41d70637db301d8ac33d0342c554364543fa0bce9","source_transition_ids":["sha256:a774710affe688c208da4948b01f707ceb2928ab0ae0cbd531c407a9625a6687","sha256:a01d860d24fcf9032bb7199e8a1999d4301f1377925b522f0e2fd6feb0cf48de"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000070","trajectory_id":"vlr-formal-v2-0000070-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:65bde93b87ed4c5f991179b42b4994381b86067c8d72e437b5dd4a2a98f8809a","candidate_id":"sha256:8997513ad9d9793c2f64aab01d7f7b8d76f463297487d9e9182e19545255d317","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 2, -2, -4, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a3ce7689724ea82937876ea68167748869e37998d9643e45fa70a1198dc2eb45"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:2681ebfbd16468f9b19a772153f46bc07a4cfc8149863e89c74cbf776e8672d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 2, -1, -4, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:18570f84522f6b27f7815b623e70987852401134e73b2513e4a69caf18b2ee9d","rejected":{"artifact_digest":"sha256:fdbf49e19b58a06a4115f0bd612394b52c807924301c4d8ec0b056fc8daca05f","candidate_id":"sha256:b1a18e681901967623d6fd0f094a6736dd6a1de1d9999fea8f1df2faf9dd95c5","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-5, 2, -5, -4, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:29c373e0976a0b70c34650249b48f832cc40809323d653d607a2d42ef01f6ef7"},"sample_id":"sha256:5a9c841a3c51d8e1a36eb69e82eff2fa56304adcfde745068b53e4e769cb96bd","source_transition_ids":["sha256:50d574fab6f9abe7126d2df5ce06119d006c40fa13de995feec933cde0183465","sha256:1d6fbba61ed0c43f58eeed659b51c6480632f1befa6aba53264e7d1fcd9324eb"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000072","trajectory_id":"vlr-formal-v2-0000072-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9abd779bcb1fe97a6080294a24d9144d2e6efe32bf1319cecdf72aad6e14e75f","candidate_id":"sha256:89ae266392cf7f0853ba8e353b2796d22f1075096d57c6f0b358cd1650a4dd8d","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 2, -2, 6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c5262865fd9af01b93823c5918afff0bec307402994c02a01846a46757c58591"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:8997513ad9d9793c2f64aab01d7f7b8d76f463297487d9e9182e19545255d317","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 2, -2, -4, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f7b1cc5d7e7bb0ee6bdb930b0cf683a8f937ac692a5d5276fd08b87ab27fda44","rejected":{"artifact_digest":"sha256:cdfcf571f6aaaabf45f1dbd42fbcfca95dbcfa8b909820bc8502c1dec333ba48","candidate_id":"sha256:b9554d7d32bd3d8233375b7e3bacfb52410b6ef0c003b0a20ec1dd7542f89e31","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-5, 2, -2, 0, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d4b2bccd9cc35ee3c1b02c094aadd01fa46e361f27de4b294a7d837de926ecdb"},"sample_id":"sha256:eea7c3965a65f69e4445837855f0d05a16128c249072aa0281e33b07b7c2c59e","source_transition_ids":["sha256:2a9b6a7f7a4c55442a2c9b8a43fa52369e8323e7272b23b02423df3a4970b863","sha256:357bf334aa54adbb407731f58c0c6e7dda3d6e6dc4b263abefc7f95edd6749fa"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000072","trajectory_id":"vlr-formal-v2-0000072-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b3aa20bea942e7cd01c1e4d7b3c1bad91ad1d9239b81a9c6f10c02233f30d67e","candidate_id":"sha256:9cdbd25d78fb547bb459b655e13ce21ed9be2283d5e953bfc3ac26af055b93d6","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, -6, -2, 6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9a4aeb4c9589d5bf93ba87d3fbf704dd636a01c35e2f8b45bd51c9ee54a949fa"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:89ae266392cf7f0853ba8e353b2796d22f1075096d57c6f0b358cd1650a4dd8d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 2, -2, 6, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bdf6349c3d69808be65c6065ce3a30440edae83941f0dc14ba3036a06620e348","rejected":{"artifact_digest":"sha256:10fc75e5662e121fd348e84865387c005b38ee81ddae04aca680edf4eb4cfb83","candidate_id":"sha256:e0e11eec7319ac83c61b81cbab4cd2d2f42aa7f9289efb29e407e912101e912d","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-5, 2, -2, 4, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:64c9c8484dd247e7cfcd0581d7eb927ec33e2f81935bf4c052879671a2c45d1a"},"sample_id":"sha256:c9ac15b2c877edae01ed17cf68e515dee26953f97775a6794d78ae21f31e8930","source_transition_ids":["sha256:b9544bf27e11a1fcf633f12092c33ba37690edf572e94f7970d5fabb3428746c","sha256:1bf4d7952228c05fd7503cfffa552cee641220affa0731304b4c48f9d5a4a7a6"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000072","trajectory_id":"vlr-formal-v2-0000072-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2bcf7943c05a58712a098e397ec7b54183d8f483632efbbe73c58d1a8f14945b","candidate_id":"sha256:57852e00ed45b05ea5635c37556f18392d1077a18f1b41a068cb1a0f3f102341","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, -6, -2, 6, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:153ee68190eeb04bc50f40647c8ec3fabf9b0de5dc2600e5fa709d11eace89cd"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:9cdbd25d78fb547bb459b655e13ce21ed9be2283d5e953bfc3ac26af055b93d6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, -2, 6, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3ce190ce10c03f3957e59c073e2105fed30272b3c8992b2e7674e6775ae39a87","rejected":{"artifact_digest":"sha256:66790372d611b5af52cab52dd3c7f8342f34a826c0713971cdeb99c99e96654f","candidate_id":"sha256:5fe7a060a843d6ace4fbdf4c7715e68dbeb7098f4a65fbec002a7c89211c2f07","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-5, -6, -2, -3, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2a1290344e363236a2730ba26b735121cebd0e0e8b055bb4e2861b280415cb6f"},"sample_id":"sha256:13acb436050aeb8cb77317097307e249c10775f4a840a0f26a274963200f53c1","source_transition_ids":["sha256:2eecdc5409a14be812af18e8ce69b6e68d5bb706e52294b96cd02c0a520723bb","sha256:6c486685f309d87d6e6b38ffd6bc8e80232b25ccf213af87e248cacc3db40347"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000072","trajectory_id":"vlr-formal-v2-0000072-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d0098410fa9b13a130f861c2e93f29f5fecb42ec39ffb7a3634fe960c9825b71","candidate_id":"sha256:2daa97714d33e1063ade6d59d51d34df761674a5a66c14ffdb310815f4dfb37b","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-4, -6, -2, 6, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b00507e0d7ac28c4ced9ef5592abe26773ab477c928e932421684a76ef2c91ea"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:57852e00ed45b05ea5635c37556f18392d1077a18f1b41a068cb1a0f3f102341","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, -2, 6, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1aad5c148c22aad31a6905347906ad610b50d295e5b7c86a4f5db98892f09e24","rejected":{"artifact_digest":"sha256:1860135932fd6151b7faeb1d12ac1fd67d831b3cacbf378314367e3e70838020","candidate_id":"sha256:1c4227d39ca70309950e1daf7a252eb3b9593bacc829658e45f5b7185e0db493","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (0, -6, -2, 6, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:556640aa8ed1073046a6c037db5f2a3d935e0b3cbde4d6bb00b9521c6ce0054a"},"sample_id":"sha256:8f9a16446cd78629fabc5a6eec74d6b228571cfeb0039e8aab7431ba069829bf","source_transition_ids":["sha256:bbeff95f47e0fa7c66a3a6ff33934511b7514d0bfa89e0cbb3e3dfdbc94e6dcf","sha256:00049e8e313028eec82d5d27eee131ca8641fa0947108e156ab9dde84c7fbdbf"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000072","trajectory_id":"vlr-formal-v2-0000072-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8091fe561b1b16f11c89df3f1ed019dbb115caa2edc32da1d8da1f35aa65c3d7","candidate_id":"sha256:e9c1c18a38b5446a258fcb392d004719024ec17fc512fbc5912b8b8ddb1de510","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (14, 6, 5, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d8fba879c8192013a4a75cb6884d0b54579f16672aeac33c86ec6339f2e065c7"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:dc664004916853b38d3c7a0f18f9e47f5842801ba2448da49a291356ddba486e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 14}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 6, 11, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b7cc32d79e34b5280f47ffbc9ada5ad732156407145f54c03801712e304decf4","rejected":{"artifact_digest":"sha256:22e397a57f249e5d5b2d261c4cc3557fceb866acc1b7b11bb9b8e198044f2553","candidate_id":"sha256:2b80c9284f775199cc0e8cf9c0ae3333657e93dbbf01983eb25d7437d0964925","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (6, 6, 11, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:678bee9c6c829e04edf03534a985fd65082908f8d25ffd2769558ca8844b3b0d"},"sample_id":"sha256:1e53c5344209c777f5f04928b9a86895c9e31705c025ed0083c476587229ae00","source_transition_ids":["sha256:3ab9c69ded86078df90ab2edaacf23a4d9c6ad0af9cf47fcf4e781c0267f3b82","sha256:af48c82eccd71d8252d5a300b321d29f9ed1728f180e49fe7a88af2517b7169f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000074","trajectory_id":"vlr-formal-v2-0000074-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:494d318e4697d3ac9f5c4ecc24c60067c23fc42a31a09e22812664aef2c39d48","candidate_id":"sha256:7a08762afd94648358805e8e6160aee27718e512ff68e975d32a70ccea03accb","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (14, 11, 5, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1f3348b917b3a3e893c77d2f29506d0a29be349f0bc6269fcf53e7c487b495dc"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:e9c1c18a38b5446a258fcb392d004719024ec17fc512fbc5912b8b8ddb1de510","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 14}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 6, 5, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3c4a4332fe3e745873e011ed4ca6a4a808bf35fc73afb7bb3f2c95c579ac9282","rejected":{"artifact_digest":"sha256:d5fe20ab2a5de8a601010918141a2b62eaaf0341910a08f18d9048f482de6328","candidate_id":"sha256:ff84bd7683fd8b650f541d8ea1c123c60339686e30e028f16606875948696e6b","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (14, 11, 2, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:cc727e1fa794d0d57a2bbadc29ca31dde5f70b825ba3a473de10d4e183671a8f"},"sample_id":"sha256:d3ebbfaea5e3b4a158a3b415dbd5320b527ba6c588924bc0a5d7129a3d225c47","source_transition_ids":["sha256:2979d427e53d4644c7fb12c4980175753d60abd2b3630958d7d0994024f4054c","sha256:8f24f204b8fb5bafef18f859ed89caf15a161130748a18bf96101b9fd0579cd3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000074","trajectory_id":"vlr-formal-v2-0000074-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:185a98ea2c699e4196f409b6b68eedbf2658a15e4698fb216da1848b4c6c290b","candidate_id":"sha256:d24cb92a539696420712ba4667b76d50e52cd4105f6cb1955e51d162d38c00fd","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (14, 11, 5, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d7abf05208b59214a7e4880fd07fcf5402e291c5b41005243cbc73fa317fa722"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:7a08762afd94648358805e8e6160aee27718e512ff68e975d32a70ccea03accb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 14}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 11, 5, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cd1a7c9e6dfb014f9eb49dbc4c23cec7d571758eb94a15537ea6cd04d94c79a9","rejected":{"artifact_digest":"sha256:3c5969e42ab32db3f11fe26414b6c8e7f23e0b2820b29139b0933f041c39c536","candidate_id":"sha256:2fa97774cb22594637a614b7770ab3f96c5bc6b3bc33b613686e5bcb6948f522","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (14, 11, 5, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:7cbd05ea86295d34ac19ba4b5993cedb247b37eaa82644b304716978cebc2d2f"},"sample_id":"sha256:e78f5e86281d7335da9ef1eb08758d307cf9486c33befcbf98cd33e9f22805f0","source_transition_ids":["sha256:c7735cf13d42f26c4ebfe58f8b4afefcc5b9b09daa3fba3551197635df0943cd","sha256:248cc6819aaec03bb90bf7090345ef020e0e75cf78510688b8652aaad75ce2ea"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000074","trajectory_id":"vlr-formal-v2-0000074-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:61d85218e4b87fbe6a1fdb5c3e9488d81a59ab1ae8217d928f4254964b36fc16","candidate_id":"sha256:92939ab75f43f730d9d0c94bea2f1bdbd3dc58a746d26d584c6e38919629b3bf","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8853139ff0f1fd5dfc3d8524e80425dd0b42786e59d608f736909a8850d9f19a"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:723be90e6d0ff2604e642b7feb026695c2a0a7f5374777f9921e84a0035cb075","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:aa52c47d9c6d9a3ab8cee533692286792f910227cebae3b950426d60986badef","rejected":{"artifact_digest":"sha256:d5ef15bb2d0e8cda24056b6b119e43412e84aeb3b00e932635a07084aedb65e9","candidate_id":"sha256:e0f66019c2817367e343580238150d3a22dd6f26ca339055b2953c4f30a4e192","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 3, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:be4096ebd96e8be109d85f47dcc211a183851ba0dcf4079d15501a3a1c12a15d"},"sample_id":"sha256:8cd83e567cca1c7517d873b0683d19847a473ef9dd0813416dddf961570fb775","source_transition_ids":["sha256:a9198057ac5b9f7243e8dcad7ec310b88a4729ab05d358cbd51481842105734c","sha256:81e35f9dd9e640cd36cd1d642f9ea44014e2530125065b2850ab5a070ea57264"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000075","trajectory_id":"vlr-formal-v2-0000075-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:708850ab8fc71cbd501485b8554d7c97f487e0fc24f3af837817e39de362caa7","candidate_id":"sha256:0007406c2c93baa2015be9d70e94b5d5c5cac4253e6aa525c2e239fbbb3de1a5","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2fb6e68a0a02be755e67ffcff7ea5c947ceeb0bc8db08a58d44d00c3436b8e9c"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:92939ab75f43f730d9d0c94bea2f1bdbd3dc58a746d26d584c6e38919629b3bf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:76176afabe72ff02cfa906ada84d2eeaf7192208142026f93b2cbbdc069c6525","rejected":{"artifact_digest":"sha256:591052082c1c731c117312a90fb8d0789ad9a4d9f8349eaf0426768a715da27e","candidate_id":"sha256:5529be9e8ad117f8f1ea808355fadd72005c7e9deb8dd282806f8e03ae1a8a4b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 3, 6, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:7c647f25160f50cb17a03cb53ff2d02adf2fce4030b5e96379cb3aaf1a8c3cc5"},"sample_id":"sha256:862c8d33905245a4825d3ea98a572c13832342837ea89c7a25064188917554e0","source_transition_ids":["sha256:5d1b3b46c93267729a88a4a83b3c105b7fb5aaf9038fef88a4f642efefdcab78","sha256:94c7c7a4e2010cc14db5c06ed14a8988e3064633289feec87de0fbc7e03c3d76"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000075","trajectory_id":"vlr-formal-v2-0000075-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:28373056d16ba3bbb85b0bdab96d25a0f8549c86ff22b57e003f9b888656ae64","candidate_id":"sha256:19a2011ca774ace4c42280b7a9d8a34abe4a6c742fcfad9ba1fb6fc0c4b656bc","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 4, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e0b123dc62937cf28f666d75c721d99d50306ba70b47b4879d34f2bb37a7bbf0"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:0007406c2c93baa2015be9d70e94b5d5c5cac4253e6aa525c2e239fbbb3de1a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 3, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:702b0fb4858c5da5c26d9a63a7ff1fe64c4250784e499997c5aed331dda19610","rejected":{"artifact_digest":"sha256:f33d7a9b1d8d1d483f7b593319eb1a00b42899baff4481576d1760fd5460669a","candidate_id":"sha256:b151e9abda46ef96654e77b07b53f7eafd0ab94a06b0daee4a0a2b3fc8f1afee","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 3, 3, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f5982acd41b9248b3942aeb7ed5572c75a11bdb2adefc6004dd5cb0cfc3f1a2c"},"sample_id":"sha256:1e7210a6df062b758738d9e6ac06f3dbe4ba9eee8e771eebd52daa843455bed0","source_transition_ids":["sha256:92c3c5e9bfef5aeabbfc842f9cdd4309aae55dc154fee1720add90907175c5da","sha256:983058f0f47233d4d0556c70590d09acea8c841fc712a04efd585b6a41273692"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000075","trajectory_id":"vlr-formal-v2-0000075-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8d41f36c15156e7a91872bad88ec68dc33e80462ba593f006fef9d5022eade35","candidate_id":"sha256:c4fc0cd8bd552bd00a1e51b47343ac97d0387d06b8e3997579c324fa812e197e","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -7, 4, -4, 3, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:380ecaa44789305fd49b4acc64cd442b889c36c0d3db05b72fea4358dff22676"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:e01c8c63371f5367b2328022d1225bf0d9377ffb361f75502fc18a8097ef0eec","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:db2093ea19eb520fcf654faa3a142c08e7c6d74d80e53ef7ef8bc5dfb3605296","candidate_id":"sha256:23a853284b869f2341a725119ce5a756bdb49e0cecf0f01997f15859c86f471b","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -7, 4, -4, 3, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bcefbc87becf43e41d9357c1b7e6ac6b8b7ee190a9521ec4d3971e1a18be54e2"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:c4fc0cd8bd552bd00a1e51b47343ac97d0387d06b8e3997579c324fa812e197e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -7, 4, -4, 3, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ed3f1620e1a2089f71e2eb33ea4f06d460548c7e1d5d8c0c88cf45543b8ca27e","rejected":{"artifact_digest":"sha256:29137172c994a5f8c36247701519f09494f12445bd9064584aa556382b5112ef","candidate_id":"sha256:cdf1f5df914c4f9ac3ea8617858f4014a4eb299678f70203c2132c4d0a83b801","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (3, -7, 4, -4, 3, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:97b0aeb2d61360b4d7ec7612935aeea0f31ba52f81103f934a392f5f19b5be25"},"sample_id":"sha256:0f424469131b62ddf8e58118b615ef3947f6a50b9d38affd736b56d1c6bfc7cd","source_transition_ids":["sha256:3a7597965af9f6717e35530bdf9f7df94571892ebf236e2f457aacdc18b46a09","sha256:2ca0c8f9038999d8ab2eba4fd1ba7c5291fb9086e4b9603ab5bbde6c2f39f387"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000076","trajectory_id":"vlr-formal-v2-0000076-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7e78845ad16923822a9c75e33114c8eac7fba287faf7d84536696d85e621f1f5","candidate_id":"sha256:3e96671ede9161b76eda5646f9e876cf5268f556b35ad956a3f4755b81ff8d3b","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -7, 4, -4, -8, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d33160736afcaba39ec061c33c490b02b71191ce4727aec1ebe56bfbc788af91"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:23a853284b869f2341a725119ce5a756bdb49e0cecf0f01997f15859c86f471b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -7, 4, -4, 3, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e0c216ed4754cc80e467dfea4306b535ce202b650bdaf960ba7db66b7f95011c","rejected":{"artifact_digest":"sha256:1484d1716e4e25e166f1233303095121905fe1c23041e0f546c0229cef68e1a0","candidate_id":"sha256:04d1a3bddc88045652f1af6322474d350a0b8aa1bf120a200144e13a23da916b","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, -7, 4, -3, -8, -2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:66a3c9e91c98339966625950c825f4d3b97d42d97c29dd88205f205ba9cacde6"},"sample_id":"sha256:5308f7c711c0cff8b1900def6f0f1c2d795ea6483f54bcf20cb98299f8ef4bc2","source_transition_ids":["sha256:3f67e14f3ba14e2d91f4c0c2fd5808d97f85d123e3eeb8b9e8a75713a12be612","sha256:ad87699ca610cd7a081ccbc8363a56300827355a1a524a63b970b2d5954ee271"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000076","trajectory_id":"vlr-formal-v2-0000076-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:52522e3217f56ed56f1597a70c66335983d667b98af1809890749b750601a972","candidate_id":"sha256:51162d55dd3eac0f1e525e0ec6942239fbc8ba93a82e989e5902b6aeb8a5b9e4","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -7, 4, -3, -8, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3e722450d0895048d3ccf3ea0b22a7d21b3c46a490cee8e2dbc62ab81689b31d"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:3e96671ede9161b76eda5646f9e876cf5268f556b35ad956a3f4755b81ff8d3b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -7, 4, -4, -8, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:daa204cbb0c4a84597fc04599d7815f5421cdc659746181512c1a2b7fec5229c","rejected":{"artifact_digest":"sha256:39bfa2c02f222109c466dd6b10971fa7cc8ca97c76b12871b6f512ebad8aec28","candidate_id":"sha256:2355ea801a7965c52d19023fe7358c131df30c101dbd03e0296dccb0c90ea6b1","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-8, -7, 4, -4, -8, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:511444b8ace30d8008aba9c8bdeb106e2f5b3bd8e349c87242e1b047d786cca0"},"sample_id":"sha256:bf7172bf439284cd6a28d1dbeebc2683d52e3967c37a19e8d4753b478dcfeeb3","source_transition_ids":["sha256:ecb71af372b1bb195baaee4850b5ac6e01b3d7ee80374c3d527ba012ee73147d","sha256:eb540ad6bf78b0c66ec6ffa36b5ebbea1e7ac6431d9182fe47091e31f93c2433"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000076","trajectory_id":"vlr-formal-v2-0000076-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bdebaebe7faae1e228d6812ec92f84e5b66bdb7803d74e3d9f1eb3492bb3a85e","candidate_id":"sha256:64a3d51969275fb2edb9f202d57ac58ee8a93dd6dcf7b9b18b23c255447d220f","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, -6, 4, -2, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:44addbcf7087cf980f13037e06de091b8a5acf3f9d3643b8f16f7ae4541c89a3"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:c04ac67e7b345a1dc9690658dcc2e4f777f4fc9fc78a3c1b02a57cf21454499f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, -6, 4, -2, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bf8f681218e64a6b754b30513dee98063c59c44afe7b199377c4c326f5c1c702","rejected":{"artifact_digest":"sha256:5f62e10e1e34e3287dd10f191649e80651dd8b4600a8471083229a540a1a9286","candidate_id":"sha256:4a4c22807184a92a11a63bab1c90100524fc9b4cd2823d6da288ca1759e8a5cb","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-6, -6, 4, -2, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:da67636a4d42f753585e8ec4e1a807ed418033efe3a47d8894a98719a26410dc"},"sample_id":"sha256:b159de419c59f904b851462f1480c1cf99c20c7b3464c80e33e7202e1c0e5cfb","source_transition_ids":["sha256:b9934f354c2bde408086be56e4ad1a299a109717db3c6dca7d68cd5e007c5335","sha256:2afa83d1ade8e988194ee124971d01ed1e79913e9690b07f7eb55f97104d6c57"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000077","trajectory_id":"vlr-formal-v2-0000077-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3f648caba543511cac277538a2bf5e671eba551fbbe6e184f74a3e625949b012","candidate_id":"sha256:1fad35ead75add080140c9a5cd6f18a22ab26cd76f2dde8b3b4aa524f3355fb8","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, 4, -2, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:81b5544a5ab591a22b58a9533cd3e5d1443064799762a051d1ef97631715549b"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:64a3d51969275fb2edb9f202d57ac58ee8a93dd6dcf7b9b18b23c255447d220f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, -6, 4, -2, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:26bb75cf19c99e4b7a811d20c8f90255fa5962b32f711a91f2c7f47022584906","rejected":{"artifact_digest":"sha256:18a45c491514decaab486c02758208684913812f6fe29ff1e57f016c1b52809a","candidate_id":"sha256:0a878180c95c111968773f3e46ec7ea105b13235e744fe18ddc3395c419147ef","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-3, -6, 4, -2, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1d579f142bfaf325c02c41d58b1570e7264224f97c650c45592c946af1cb2746"},"sample_id":"sha256:189e0ea2b86fb159cf02681dcddd6275a948e43b8354ea6f1ad1f01084d9272a","source_transition_ids":["sha256:65a0a10f4824cbe797901eaebfc88b11c590d3b8be5835751f0d9df0f15659f8","sha256:924e9e35babbaf51147b75d8704f2761da6c19c67b0db29f979a5039f7905c01"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000077","trajectory_id":"vlr-formal-v2-0000077-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:658cfbb2580b9ee8c8bae79bc2358bdf7a5d68fa6dca09627cd4e4b488adbc6a","candidate_id":"sha256:876f621b0bd3757827117aa59e5258a3aec204eee9e317183eacfbd43df39edb","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, 4, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c88ce521452cb21ade3281ed1b08e0fd606930860698955836cb3d5865a6bc3a"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:1fad35ead75add080140c9a5cd6f18a22ab26cd76f2dde8b3b4aa524f3355fb8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, 4, -2, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7fe4d449c1b575e3e651c5dd876c775a85ffbb8fc139f1e4da1f7eb2fb7a620b","rejected":{"artifact_digest":"sha256:a200d4a6d96409e5248622f6f6ac2e4bb77b58c4e667df09180ae4ec6706ce00","candidate_id":"sha256:fdd1e3d04d67d28ac3354335a334585b245a4cd3f40350fc5e00b719f66349e9","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (3, -6, 4, 8, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:3a721e36f35cca9ab65e53c945228ab479b52eef5294f556ed489f9cf958d0dc"},"sample_id":"sha256:8f576189867cc1d2acdbf4753904bc86cbc591a90b9679bd9b8521bcd333f813","source_transition_ids":["sha256:21f9d78a18278967b9df5ef59759052b7e088a308dc20108714b2f83c5ccf861","sha256:d0a5705d7f9b84fea446742ef36e6c99fefc0bc30f76122499e55a2cd1aee180"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000077","trajectory_id":"vlr-formal-v2-0000077-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:08c2887a969ec919e9d82f8c8ad8b64e2be57a5192055d46fcd8423dad443e12","candidate_id":"sha256:fbfe513e2b416c4135b7352ac08a5ab691836bba52908fdad8a1b073e595f107","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, -6, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4e23fb889b9de489c59bb3c0f2aaf67e5705e42e09cf7e3a1efde74f53d7823e"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:876f621b0bd3757827117aa59e5258a3aec204eee9e317183eacfbd43df39edb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, 4, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:26ea6dc55dde13963e0a6786ce5cbcee273ea24db26520d7a111326a0f8c3a03","rejected":{"artifact_digest":"sha256:bf67b0d9492d172e3ec205ffcc48afe3af9d90f5f4cfe64213ec42358688f896","candidate_id":"sha256:9ba6dc711eb2185cbe0203bc0593e002c5417655b95d2f72e5c4df10f25610fa","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-8, -6, -6, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1e2c40fffc47d778e9a7225dc3421f97416ad2211b6982b8bc1157f47c77ce86"},"sample_id":"sha256:4151ede7566ae8e78c92789fe50bfaf78275c755e72e65fae576a61153e11bb0","source_transition_ids":["sha256:14f6656bd6b8dc1199c6733f80f9244b176ca4b057034daf17f35644e185af75","sha256:6488212e23132eb4e5bf7f35135900415f2856925ca16b63357b23b22b88f9c3"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000077","trajectory_id":"vlr-formal-v2-0000077-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8bba9c1d19535bb721e20377a351d01b570b931a9bd283d5e66c3161d3e92a5a","candidate_id":"sha256:feebfc81c8dfaab75a59c08ebbd12755b3bf5e8925804c92c9485b92521b438c","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 1, -6, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c512ed278835a90a9de2a12e8d25d88b41c80e3f5ddbfe80f66e658c62da91bf"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:fbfe513e2b416c4135b7352ac08a5ab691836bba52908fdad8a1b073e595f107","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, -6, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:99c304987ffaf91a9a9af365d68f1f02cbd4c16bc3dafa7a500ece1798ab990b","rejected":{"artifact_digest":"sha256:953f633098c3e261b8db526b661273357bcf5c7a8c93b37de14487a7f62a1b90","candidate_id":"sha256:ff41df9344f07e42cd91aa1bf6f0547e5a6acaed67c98f8bc0056a2cd6b33d28","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (3, -2, -6, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:879b482b94a8f5af7af843dd44357bc90782fee7f825cbf3e66ea91869045875"},"sample_id":"sha256:4fef5bdc05ffc6cab85b91d65acee1ff6f71ffd791416a84faa7fdccaa108f8b","source_transition_ids":["sha256:3c4b776f78dfc47883d1670fd82a427e9370c715bc94d7bc4020fd309b35ef7c","sha256:bc0552ac6fd79b1381962a9fdb05914abc795e5669aa891578a71f04bc5cfc54"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000077","trajectory_id":"vlr-formal-v2-0000077-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3d420ab1c26d64dc27bb6d6c7f29de2fef4815605ed05440681a0bd323ace6a0","candidate_id":"sha256:b29aecac740e07753e05e1d87e8ac1fa968420f674ee8877a56d5874e5a6b6f7","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (5)\n    return x + (-5)\n","verification_digest":"sha256:31785151d2bdfef743b7881f462563d31e6981900d29568a541cd6d816cc512c"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:e64dd1a7d34859dcc8df1e9940e5469a282f8746b2172807aee202b10114d6f0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -18}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-2)\n    return x + (-5)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6768f956521ed8375e054ea8dcd53bc8611ead97c01ab1a7a0ffbc8340cb51fc","rejected":{"artifact_digest":"sha256:0a9f7c1f83486db054203acac10cea8d48d892c6aaa6599d4b79bf79ceefbedd","candidate_id":"sha256:8544b0470e4a11f7a508014d057534b2d8235db5bab34a7ac13c44d384d18210","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (5)\n    return x + (-6)\n","verification_digest":"sha256:953c260815959c56390e57b20b1c3d0dedbcbc5794a7001320dc514fdead4663"},"sample_id":"sha256:de2076da3b12b254de71f4663aa2e2cc5929bbea2e5c0dd532b3453bae0b7c0e","source_transition_ids":["sha256:24b603e3cf613bcf953ffc40ad0a65636309d20498dbabd9beaf21d5550ac356","sha256:65acb3c6305f94ff4381b419824a9bc92f3df1a35e3beb8e6a504f9e0deb9e71"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000080","trajectory_id":"vlr-formal-v2-0000080-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:466e979be8d2553d4e2e9b2120975bad3c54ffe80174765323a8c114881e9b77","candidate_id":"sha256:0066bcaa20fff44595b5d9b86f00f4a2bc066c776b0026f9bb9aaa84e4749292","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (5)\n    return x + (-5)\n","verification_digest":"sha256:565d323493cb0d075af81c97e2ead4358649d24abe048a4bfad5ab2a6043076f"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:b29aecac740e07753e05e1d87e8ac1fa968420f674ee8877a56d5874e5a6b6f7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -18}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (5)\n    return x + (-5)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:29e00cfc67bfb3eea9dd2959939449772024f34a6f8c35cb4252549e4a6d5528","rejected":{"artifact_digest":"sha256:3d420ab1c26d64dc27bb6d6c7f29de2fef4815605ed05440681a0bd323ace6a0","candidate_id":"sha256:b29aecac740e07753e05e1d87e8ac1fa968420f674ee8877a56d5874e5a6b6f7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (5)\n    return x + (-5)\n","verification_digest":"sha256:31785151d2bdfef743b7881f462563d31e6981900d29568a541cd6d816cc512c"},"sample_id":"sha256:30dc4a5c9bd1f8fc0398ad3f45d7e8910b94b515dfd89ecf5b4b1eadc8190805","source_transition_ids":["sha256:7e182f3e553d0961cd6901bf376140cc793fb4fc1a3611ef01f59d73cde19855","sha256:98f2c0e5047cbdcdf20f444df02e6ac58bdf5ab137bce6fb90e7ee0cc1320ac8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000080","trajectory_id":"vlr-formal-v2-0000080-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:914a6bf0a011fc1690eabdf6c13450966219fdec6051b4ad661dd5afe3c5ce92","candidate_id":"sha256:28b436a6b94d4380c70791b17f4beeae8361d57ecdf2f8f638510530eecaf112","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, -3, 3, 2, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ea22a4b0f3eef38b1b31145adf14ad50f0904c55a1fd50529b719936dc579931"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:beba1242407b12676750f9c50f66749539a9e0eef3647ba8707f989a2bd195a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, -3, -7, 2, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e075eee1bbc40f9a2a136ba85f5aa4c362d289b8fa39e709713880aa792d0ea6","rejected":{"artifact_digest":"sha256:0c86af1812503fa929c955818f8cd2110dbefcb4fb418f4939474062e0666f7c","candidate_id":"sha256:3e96846ff83263b90ae29e9095a1cac3674e43e6fc75c032d1ed1cc53dae9652","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (5, -3, -7, 2, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:eea91f1a1809cbeb4e9404e560f059c433dd5cd0d69740b097bdd5116e99aed9"},"sample_id":"sha256:212328133dfd5c6cb06ba731dad3516007c07e6c23d3342fe980841b2d198116","source_transition_ids":["sha256:e8e5e570e6409ae96b6515901e34612fe139f25e45f4c353892c832904fda9eb","sha256:37115c310c9533f7e3a35717af178e82d6973a5afe0a8d5af1e1a57b03b645f1"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000081","trajectory_id":"vlr-formal-v2-0000081-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:c9e1ff7db5e23c69700687e30136940a6b037a2c58cd364547bc75be32ff64dd","candidate_id":"sha256:dbdb5275f682d23006d1669ca03a209ec741433327e3f1a149d56dc84697dd7f","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 9, 2, 1, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e6809fd0ba8b474bfa9652d7896d7530d02510649a3b0b18824ce715c2e738c3"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:7894121ba05b92aee7f2cd15c971bdcd5c23760fe9d421f86cfc098e8ac0795f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 9, 2, 1, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b2548120abbe6d04f5711348bd0bf524109d65fcdbe944639d3c0e8359bf1d1a","rejected":{"artifact_digest":"sha256:5f49c5e9a5ee4d81e508faa6b8b1e33037adae5ded82a7396f973bd91a0ede48","candidate_id":"sha256:5bd8d420376513d2b9ebc0a3791d9072ac58d43fdfc48bb1c47ef76a105281b0","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":11,"phi_gain":-3,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (2, 9, 2, 1, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6f47cde0a28bd972e5caff96bd6ee51564b037c850666ea77eaa7db020bed18b"},"sample_id":"sha256:5eac0d98c3bd1f933b274cfbf5393e17a1f74eebec560f5cddce677ba92950cc","source_transition_ids":["sha256:25e5ecb86462564e5ce284d10ae16a7bb87ffee041f2c2678fd45325b4a747c0","sha256:0aef6cf01c7bd8bc646f7496675840cec0712ea6f5ea1865ba532bf7f539b5dc"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000083","trajectory_id":"vlr-formal-v2-0000083-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:117e27897729195e4d157aa88a7b62ac9292acffe9b629646667c289e44e3e06","candidate_id":"sha256:acbdb63fe7a9fc96a2d50523c975273f49cf0a81fa766128e191d01b0045c5b2","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 9, 6, 1, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:019b1421406dad905803b9e0689ac82079c247382ab7365b942e0c8b875d2234"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:dbdb5275f682d23006d1669ca03a209ec741433327e3f1a149d56dc84697dd7f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 9, 2, 1, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6cdc5a77d19d38788b0daff34dba53b94c9a1766a65de57ab932cb1ef2d94f83","rejected":{"artifact_digest":"sha256:6483f609e1cdde0384933a20c90cfb4483062fec8ecadea5722e8f7dff9713fd","candidate_id":"sha256:432e2cfaadd9c61fc675500991f88eeecdfd5fed3a0720c90d32cb735eec982a","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (3, 2, 6, 2, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:05e5db018166e59931c00fa1d84abf535e0947266472690a854097d7e03bbb00"},"sample_id":"sha256:7bec0ea905baea04b395a27e92652a64140bee7de24f96d789b3a6051fc589d8","source_transition_ids":["sha256:c5c16b700ae53f3501d85d55b244836746d15c343578260b7271767d8df444ab","sha256:4c3b43b8ca910de85eeecbf6b19bc3aeb1cd7a0f49abebe318e2109287127cde"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000083","trajectory_id":"vlr-formal-v2-0000083-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4fde87be9f6ceedf16515fca2e305a2f643d11419787c1c6c38a0b0147a97dd6","candidate_id":"sha256:8265b0a5f9fffdb025cc729e78829f9553b86e9bb9b1592d9c5f29d664858f88","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 9, 6, 2, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:5f664e91ffc99332da352841148143a0d7204ee32eff1656f60e4ad6708450ff"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:acbdb63fe7a9fc96a2d50523c975273f49cf0a81fa766128e191d01b0045c5b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 9, 6, 1, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6f62af0f8f91300c73bc300e73069ed74376a6fbfc96b941a34d7d5c75d312fe","rejected":{"artifact_digest":"sha256:1c5d721d2bacb9558443ac8bab94499c3bbe68ce45af1384e589252c81ee6b8e","candidate_id":"sha256:f9c1e0efe11c6218ac1b1edf6d209c130bbffee640e11bd575d52199e26c2c4e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (3, 9, 6, 5, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:4b733a31a18001de4bab4fbb905f3197722a5b92038524f63b7c914655fed9bb"},"sample_id":"sha256:9a21c11cebc6ef8ab075baf80ff1decad7da4efd97f259910a698d5f142453cf","source_transition_ids":["sha256:47d0a1e4ddb1694733a5b51e8a5a24af1490ec35b428d8590319ea407140fad6","sha256:8b69333877ffe74743796bafd4fabf9f93ea1f19c985f690c38a93d2a9cb630b"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000083","trajectory_id":"vlr-formal-v2-0000083-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b4041947f750bcab8d0247921a56c615b3f59e0d92457e5d8be26fe74e5546b7","candidate_id":"sha256:b9f9006903004a7551ff5e266c7ef18d5c5e211ee502b87d7d1ca5430204671e","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (1, 13, 2, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f6dd2796751086ad6cad611cfe37356b63c2dd4274b3f131f6fd8ceaa8cdfec4"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:e667b1d641e6ed8e9c748deee5a029c3c558a464fb45ca51605535523fa139d0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 14}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (1, 13, 12, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3895173dbb48c88ca9720977a54c9228da539955a30fc1fc4fa4625a61d0c9d3","rejected":{"artifact_digest":"sha256:74709590f57f88ac4296cf92ee98721c636ccac2c00a3144d58f101aa4498b15","candidate_id":"sha256:5306392286b1ce82b800d83b66d27b3ec4f957814fb5fb210a308af96af2eb59","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (1, 13, 8, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0099e26c7f908472d42c212af649ed54f355b4616a6b12656c4f5f3917d5f74b"},"sample_id":"sha256:559310772c25a662575125ea7dcc1e73319dbda077ba96a57c1858ebefb88ab3","source_transition_ids":["sha256:d73ed269fb5506ffe127a6e3e476113109e23a3822098141c85c3f58fd2a5ded","sha256:f4e4c1e5d24644d4d59790611dda056c535e58bddb56b269d7947543cfa3d064"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000084","trajectory_id":"vlr-formal-v2-0000084-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:43aa80c3208e621a78eb558bb26a6d2adec84c002a5ad86becb6b9d4541a4333","candidate_id":"sha256:4012a389061ecf9aca86bea1f6ebed13681834db21dbdaf45f818409cfb2b7b9","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (1, 13, 2, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3a64e0d839a7ceb953ebacb7cf5178a200fb38314e43804dc703083a8ea0c0e4"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b9f9006903004a7551ff5e266c7ef18d5c5e211ee502b87d7d1ca5430204671e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 14}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (1, 13, 2, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:14006c9b86ea2c511cba4698276c94a118944c9b1da47bafb8a75e6f85d11030","rejected":{"artifact_digest":"sha256:e6bcd15a08cc91323cea40e3dd2fc0eaf7d8f39978f804def665ca62d853a8e8","candidate_id":"sha256:24193e44de2cff3693adc3a946e01a831fa888c190e4fe374bea711cc29afd4b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (1, 13, 2, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e50c75258909840fe3212cd95017187c46700e7fc7665371a38319aaffc17229"},"sample_id":"sha256:9d36a645e7673ea4cbd195b07c9980243ea0e9cfec1aaa8aabecc3c0ac913422","source_transition_ids":["sha256:7237b87197ebb4caac78fa01196618dbfc169d40e970a6cafe72f3c163921682","sha256:da8996dfb84db499998ee25936afa61132f809e204fb81f183d4b78814c2581a"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000084","trajectory_id":"vlr-formal-v2-0000084-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a10025571cea9fc28208bf8f4889f92762039c0f9624308d8d2bb510bed32aa6","candidate_id":"sha256:c1e1ca673c60a000973b8e13256928400ec31ad924d2abd8e74aa312dbf4408d","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 13, 2, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4d4b614866663a95bd66c3ed32c6dffade1dd67dd5bf3f73820e1f9d69aa6aa0"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:4012a389061ecf9aca86bea1f6ebed13681834db21dbdaf45f818409cfb2b7b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 14}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (1, 13, 2, 4)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:65471705de77e192d6f3547cb426be021ef31734a74b76c95ebb0ca9adea587d","rejected":{"artifact_digest":"sha256:6f3af9e05ad75cf9ef61ba3462c1766a651708e5f7b9793b2a8666e19cf75b31","candidate_id":"sha256:3d45d0e61312d0bb169f7b815fa0a4ff990d305a3b47f26495eff97873af839c","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 15, 2, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9ed16451257351eaadc1de1386ec68add880eb0f80d1c7c449c1ae6574bee520"},"sample_id":"sha256:7a988fed0051a671b3c6e2091ad8d385af8bc606c3c4c3d0536e5f5372b285ef","source_transition_ids":["sha256:a19e5e2f4a4a4a2c12c5beb3e57a54d58a4a9a057eb83279a59e82f8452e8120","sha256:9170264d3565cf4207de4d4d35b01653e2b0bb23e9c37b3b4be72559845fe199"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000084","trajectory_id":"vlr-formal-v2-0000084-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d8fefe10309df772b27f996aa2236ee96ac107dfd7dc05cc55baff68b56e3320","candidate_id":"sha256:88a943fd98a09dca3a495b04917eea3b0399929d8e26cb028d6695f1706faed2","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 15, 2, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:13ae152501ca380d21dd8551a56e63b179a15722380f56d75528c90ea3febecd"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:c1e1ca673c60a000973b8e13256928400ec31ad924d2abd8e74aa312dbf4408d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 14}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 13, 2, 4)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ab772777dedb02fcccc23b3fbbe35cc503f05851a88666da75d4bd62a5453fc0","rejected":{"artifact_digest":"sha256:e442497057b9c684e6dad9284b1afd2764b00d7a53d8e40de0dcb10a35779a4e","candidate_id":"sha256:aa5e35c7137d55a30bd8ec8aef601ca041cd5c1c5d7fd9ef67ecbf33af1e22ff","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (2, 10, 2, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2cd32fae5b489f791c6798a234ced0fe962a87aca028c21a0a922a4914bfdbfa"},"sample_id":"sha256:c6cd16e768dc6957482886059845bd0bbc5d34c8599fee005b65531db05e00a7","source_transition_ids":["sha256:b9feecccb15b3cd07295be1b40839cabc7f11e6320ef7b462cc8cbccc6655ab3","sha256:a59f2b6b8846970eaebe3ea2c77de437d9debae93d6a9a6fc3d3c4d9abe5fdd8"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000084","trajectory_id":"vlr-formal-v2-0000084-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7d4400ce526f23c05dbae94ca82a69629bd0df2fdfc42c832375c4cc14fdf388","candidate_id":"sha256:646af57318b0ab413f5f8ca6df157ceed55a31751e27720f6a13a491ba95d9a7","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 2, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:372013301b88dcd429940741cea05530e52bdbb939e40cc8ba5733c19e82610c"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:6f6d9823c4be0ba63db8c84ac586c3e9df9d1cebe4aa2569fc479af58577f378","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 3, 2, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dcc6f1bf9cbebcbb25951144683295dfa2136b57ae696abf775517919811bfa0","rejected":{"artifact_digest":"sha256:9f03361d25a1f8ef03d988f3d64df3c83d31158db07fa568a860798ad0a42e9a","candidate_id":"sha256:12c50780b7735b8eb2a310bfb766c33668eaa2c310fc58e3452d83e6736beec8","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 3, 2, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a6bec7cbc8d9b402b4c951d990cafe8aa970aa18cf301fff40ce796949fed340"},"sample_id":"sha256:ab667ab99330d9b589c2060cc223117716d13365a2f4e23ef4726846d5f3c4f3","source_transition_ids":["sha256:6792b03d66a6d74e2c040371345ff30ed334eb7bb8ea61034bc1caf7badfae18","sha256:280c760a03a28b2ad1a7385dea3176db79a5e54096bb003ec4e55a8510105414"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000085","trajectory_id":"vlr-formal-v2-0000085-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3d8205f4f1ade4c143403356727e70cd53537fa9de4daa959620d32bb5cd8845","candidate_id":"sha256:a1a6aeaeb3fb9ec8320ca3cbe73fdfee138a7964618e4335434f4de6f68623fa","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:0e1a15d2c0a86b5f662fdf8f7850a65a1842dd25113e142dda169429a759a8d5"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:646af57318b0ab413f5f8ca6df157ceed55a31751e27720f6a13a491ba95d9a7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 2, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6b77dc51bf440c7897e1f468f841ce97e490272e99c692295ef231241d772167","rejected":{"artifact_digest":"sha256:87bb780c42f02b1f606f3be2e43d0508c6952516725fc462dd91eccb1b0c8acb","candidate_id":"sha256:3b85eab2799a94a28e94a331b9da5be5117f9a700486d9ae0a2756ad06ea778e","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 4, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4dc317957208caccaad409604420a6e2454c9932a81f09bfaebaab067b80184d"},"sample_id":"sha256:0ff3a3cea6117ff4b2aafb5d908bdda10e054ab1c53fd87d7a0d86092d1107a9","source_transition_ids":["sha256:689add0cf1d6bfafe8eb5ee6cd3206821753300e7e9ab4c3aa4dafc45b100dea","sha256:4b94bca6448b1c804b1bd1a76de9121486ca7aa3103d4defa1328816bc297bd8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000085","trajectory_id":"vlr-formal-v2-0000085-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2b0058d463eeba50834ec6130aee312a17969f3d6421440f0bdc887ba01ea195","candidate_id":"sha256:21712570553c3a229a3a029e2f1781f4ee526a259ca3d4b1f36bba2f0ac02d25","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 4, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:79039038317586804809c9f816b39f16f258c66b7d36b0f8fc1c5520f138f46d"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:a1a6aeaeb3fb9ec8320ca3cbe73fdfee138a7964618e4335434f4de6f68623fa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b0fa0fa9efdc904251d693d6c61475872eac0fc8cfcd03ef14c072dd0cb27620","rejected":{"artifact_digest":"sha256:18df13dd9c5ff4399c863208ad7811d3e658fed7c5a85c787cace548be8652a8","candidate_id":"sha256:16bffa1c347d9fbdc1e7f16ff8dccd7705deebece67280b72d2dbce3011ae8bb","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 4, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:483f6b155347c000cfa5379553e55dbd8270013d8fcdf45f9aca0e52301e2f29"},"sample_id":"sha256:ef8b5c62530c2c20b9bca41e1861e13515afc04ef7bc7d98a320699f53e38b37","source_transition_ids":["sha256:8161ca5bdad85193931e21553ea1d983eb91a948b9526bc3fee15a5428e7e719","sha256:885ab317ed354a9c4a2eccc23b77ba215cfc68fe9bbf4bb5d6cec937f7d0a1e0"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000085","trajectory_id":"vlr-formal-v2-0000085-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:43b97d7cf30cf3f38bb0628a267af0d092cf26a9e46717198021cf9c068f07b3","candidate_id":"sha256:6b8d4188dfdc62ab56a041cc11bdafea86e147237908a4f84f2076da3afd7cf1","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 4, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8f2f9bc6036586f04bf42cf8d8dca2eec41fe1ab47dc36b5f8cf4822426c0a26"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:21712570553c3a229a3a029e2f1781f4ee526a259ca3d4b1f36bba2f0ac02d25","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 4, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:447b9680bf740829b9d3c3444814ab6db971b455385abe51378f3bd095934ee3","rejected":{"artifact_digest":"sha256:21ad9e7532e40d4a43962024f2cd558029acbc0df07740453222ec168f52d846","candidate_id":"sha256:85db74859337f47190eadfba0983ab1984205002d6a6ab9007e2b18a1cd0fa23","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 4, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b84eee9515066e718c43d54d568c52d954b226000c24b94d53080e1b9d717bec"},"sample_id":"sha256:44d8e465696bfc9e844a764991665f3f0f06ec2f3323c6963c8a49d690c11231","source_transition_ids":["sha256:5d14a975e37c7a540bd96d59e40aed92b1957b2262cb727a5ff92c72a85f7dc6","sha256:40877caa006a178c46ad346dfabe0d2e025ba0379dd7d9c70af0a0b0f9a4fd9d"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000085","trajectory_id":"vlr-formal-v2-0000085-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f85c7b30610831a199e476f54b0bf89bdee4f3fd7104efab432341d619128230","candidate_id":"sha256:701674ef73b52bd3e2be960369770b9df0496588dc8acecafa820a57a9cbadf2","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 1, -2, 3, -8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a520a927abbcad039e3678d7c00f314e31eb5f2f030d6e8dfb2cb0494433dc57"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:70e301b0163aa9199cf34a7c8f4d0cba291c6d0dddfe3b56d76e27afe89f6865","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 4}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 1, -2, 3, -8, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d331deb7f22360d48b5b5941e0750eedc3362ee159b198b9f8f3d3d6bedae35b","rejected":{"artifact_digest":"sha256:5fe2e7c63a27ffe30d09e684633fa5d70b1fa41e15215021e7d332b9906fc94e","candidate_id":"sha256:db9b0bd13be53d1cdab3a00f583d9185c4984bd3756a8c2523de554bb941f0a5","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (2, 1, 0, 3, -8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:573cf356169cef9e3e2e10f44a83843d2653503bd4a9b89f2bec13338c2428d5"},"sample_id":"sha256:3d90e5290f90ef4b5fc8d8fb9f47f2fbcdc9bd8fc44dcf7c594681a604646c50","source_transition_ids":["sha256:d7eef2ac6660641b33528ffa8e8bc873e7200d9440a966f955f0ff94343e6737","sha256:c8de6988a7bd0c43ff5f13eaccf940d1c25567f34dc0cca177376d01e02afc33"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000086","trajectory_id":"vlr-formal-v2-0000086-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:78981e48b10893ade4cea6facd1de954acfdda7a59edf23cdc4660bcb31494c1","candidate_id":"sha256:43ea594bba805021e51a2d6060693fb934ed60ab636b7bb4848b5988a0abc1f3","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 1, -2, 1, -8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e518bc0c7aeda843cc443a48d97a39203c847e669d26ca98f548eb76fcc3ca62"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:701674ef73b52bd3e2be960369770b9df0496588dc8acecafa820a57a9cbadf2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 4}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 1, -2, 3, -8, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:86c3035d178e5febcb63d9accf3e06830d0181892c1ff1a21eefb7973e0a9985","rejected":{"artifact_digest":"sha256:ab0d3e335c5873c99a01f8170e4970983c32624a28be0248798ffeb344ca8620","candidate_id":"sha256:c4cef1b5a300f951ce1c7d17ed17dbafd7553a6b78b833bf896e6e3e0a8f0d8b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-6, 1, -2, -5, -8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c55ed3e9bfd6d3e89f063b3596c9558d292e0adf77f441a9892761c5ed1252e5"},"sample_id":"sha256:4c2a08d05c68523aff589c1738b1938fc9b1ab640cbf3d77952c441ebea126bb","source_transition_ids":["sha256:4366b10223b9760fd2380f5db8beabd118afcd8bfa93a6ba4deb4a8943909975","sha256:229bf74f6a77a50e0dc09bbbc56033c22ddddc21337d5350c1a0390284540226"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000086","trajectory_id":"vlr-formal-v2-0000086-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:de5c4f0e9beac9f3707bc76229a43280d431f559ade28f1ddeca891c584ea79f","candidate_id":"sha256:0df59afb498ae10a705b0b138295fe2d1fa11735e0cada4e53e50d5fc07f8a5d","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 1, -2, 1, 1, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4bb4b34b679b722c46cc4f6c0f4ed2561a32ca438a6976b80bd24d1008098315"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:43ea594bba805021e51a2d6060693fb934ed60ab636b7bb4848b5988a0abc1f3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 4}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 1, -2, 1, -8, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c9c13219ade374a2bebdc57aa6dfcddf03c3eb586a116141ba33ae8e1c5ec76a","rejected":{"artifact_digest":"sha256:c8b1c05a2cf3526aa7485f3fbc5cf7717f0c1dd4301c371000600f2d76601c3c","candidate_id":"sha256:3281300083a0932883805d344ee96a3e63abb55e316767b7f781d4d4e4c0a5cc","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-6, 0, -2, 1, 1, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f17b659dd6ad74f74585e3062394e97e922d7fdd32627e9f251058a90bee1fcf"},"sample_id":"sha256:ffc72567a27cf1ef3c1da47d58695a8631fb5dcbafa99aeac4794a43b1afed6b","source_transition_ids":["sha256:d4329c65bd9ee0a8b380cde7dade8b4cd671ff400d68b59191975037b8eee8a8","sha256:0ef0a09a24f8810ecb74b3f568f419ab70e776703c690ac6a93199325acc2b69"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000086","trajectory_id":"vlr-formal-v2-0000086-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fa018198eaf9e3b432f1ad5ee47aa21c4ec85901d7fd6f529e4eeb7202c9d054","candidate_id":"sha256:1fa46d677a5d23af0f371ea1c4a97f29470c88a0be41b673442e7b6a0e36d22a","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 1, -2, 1, 1, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8fd38ff3ac99e1cea827be6c13c1370dd4b7ca99c709e8657f9968fdde749675"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:0df59afb498ae10a705b0b138295fe2d1fa11735e0cada4e53e50d5fc07f8a5d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 4}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 1, -2, 1, 1, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a6cf83135713157bdfc8f5fdf0f79cad4505550c5a508a73b438cf3bbd98f65d","rejected":{"artifact_digest":"sha256:545160cc0d972939c6e14e421cabaa37498bff083cc399681f4dd6f377a82a0b","candidate_id":"sha256:90a179909ea95adb8212e67e6bd55ee15a745aafaf5311143bb26788d777fff0","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-6, 1, -2, 1, 1, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:76c1dbd42669d76080ba79595a3a95781804002d95667fe520b1065e2e365007"},"sample_id":"sha256:38034aa55f883f72837965391036e5457b30f17cc138bcdb3f017334be549130","source_transition_ids":["sha256:c8213646809d84b2b22df3e74c2065f38861d0f42780a1c3cc9db899d0442afd","sha256:c6a7f832b655bcd32a480208ce32f1e9f540b49657d4f93ed8f9e5f388a7a94e"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000086","trajectory_id":"vlr-formal-v2-0000086-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e4fa170a07bb8446adbe89eb8dec11257f33eaafc6f099fc866fe88a03c61b8a","candidate_id":"sha256:65079fe826c199a569366a975a702e328843ba4b1715e493df69d389b458e0de","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 5, 7, -3, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ee46ff00982211f249e0001d4f090bb0c4997c36494d1598d38fa7146e3cebba"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:0d5114c84917a286070503679e0f0c3efcbcfc655632be50de170ff3452655f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 7}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, -1, 7, -3, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:67959177db2c4605f8dc00e036ebc98b191d746cb797c0c6e1073164c73f2f5f","rejected":{"artifact_digest":"sha256:93a83176b60934a72be45536000578d50c925d441f4fa0992851bdaa5ad68d34","candidate_id":"sha256:80704609e28bd27334848aecf34af85f6f16dfe5eeeda388c053a4f66f6ce148","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-8, 5, 4, -3, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:69bc8b1d0324a4481330b69c810e586353b3e26efd4cb188bb6ebc368aca1338"},"sample_id":"sha256:31044046094ce1c17dc697d6db63fa9edf0ea3dd504a509dcae5a84d5fd0b515","source_transition_ids":["sha256:b914edf7abd4c0533e176f1531dc7111c63b990088c29653135a6933936801e3","sha256:2c6d0342712495180fed5f997a41347f0d2b8c14dfc4b06f97e7bb1116eca018"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000087","trajectory_id":"vlr-formal-v2-0000087-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7f340ce6a67283ed097d99a455fe75b0415fc224441403bda5fc959019abbc4c","candidate_id":"sha256:39fed2453706f2c149be048b506a3ce242affce012aaad9047fd1d6f2e7d197e","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 5, 7, -3, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ba5c761a249dc5db583f5431a70d788babc72a69f14adbd5cdbf533ca59ad8b1"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:65079fe826c199a569366a975a702e328843ba4b1715e493df69d389b458e0de","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 7}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 5, 7, -3, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6975ad02c71673744898a57edc03a11151519200805b0d9ea7006136b54ae94b","rejected":{"artifact_digest":"sha256:2b3de15b9ddc25d07f1e8a8ca93d4fd212d88d3ea0f31ef509b6b5c83062d5d5","candidate_id":"sha256:109fad184415196c6bd29e9594bb252a5b8f3943b588ca129a7e3d60741d5ed1","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-8, 6, 7, 7, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2003556859742f122d0cde00c4318404fdb39ab218483d9f2d27ddc7b04b0348"},"sample_id":"sha256:98f0eb9e42c7d2d6f701aa84835756d3e5f0a9f6a5a0e729fe4698d7f53fccd3","source_transition_ids":["sha256:fcd6b829b6e6ee753a33aa734b3747ecb0541824b6a29c27801533848a1134b2","sha256:03b6c9dbc31ef2c650e7301a8395d3983ef2bef7b75998e58691c11c43411696"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000087","trajectory_id":"vlr-formal-v2-0000087-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2aa04e71d9d156180ea30ec28f023fd2b0bba02e3ccb45b950a5694f06af83a5","candidate_id":"sha256:ea7cd49e3d55b8325e43595d06b0ba20fb6bab9f7253cce07443762e124703d5","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 5, 7, 7, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:abacf5a53611a9f10c76bbb90be23893559d16c5af7154c816f8507287e177cd"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:39fed2453706f2c149be048b506a3ce242affce012aaad9047fd1d6f2e7d197e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 7}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 5, 7, -3, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4b7c6cb6ae197183345ec8d22d297e88760f8d6ecb590aa85688a91932ee5a97","rejected":{"artifact_digest":"sha256:9bf082b9bbed7f78e8696746aaf9645c485ec5db0b90433556e38182a9a4b83e","candidate_id":"sha256:7de2468afec6144de089d36149de08bc9db9fe77262d78626c8e6f331711210a","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-8, 2, 7, -3, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:77c49e1856e22ae1c3ffc6f35f8a6f818f4571ddcee99eba22cb1172388ccaca"},"sample_id":"sha256:4cab2aa215e517544ca29223f331b21e4c3a688a329da7c501f15eb8a3ba4900","source_transition_ids":["sha256:ceb2f1ad6afedc2596ee9b4e04e6e10463991e99d2920503b1220d2a683a14b6","sha256:8c91829b2deb90a27c0637a5002a527355986bc26ceea9e917ab02e57406698b"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000087","trajectory_id":"vlr-formal-v2-0000087-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e3ee5ce64d2e5c1cd1e22da399d2081c871f89ae8669b2ad647c6f04ec717ec4","candidate_id":"sha256:0c1dda05e1c5e457752968f59ba44b5c92e91351d2254d5d71918d262ff17849","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 5, 7, 7, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a1489fb72d44ccbd1fec8a126063bdcc3861d3380c5c874eaae84223510220d2"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:ea7cd49e3d55b8325e43595d06b0ba20fb6bab9f7253cce07443762e124703d5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 7}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 5, 7, 7, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3a05ed074cc599d84dd9d31002615797d8ddf71f20bf796369caf7cbe28c379b","rejected":{"artifact_digest":"sha256:f18982aaeea1beceb853fa9a8b9f9168aec9f2ace7120f7197f1dfca4245fa61","candidate_id":"sha256:2a5809073cd24e6a72c866d97ffbc71e60e9a6e86e14c8372d45ad79d12aa1f2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-8, 5, 5, 7, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:672183250510b3752b08b2152f5771511df9c4e525e00cfc7e9b9abfca0b1416"},"sample_id":"sha256:3f2cc15662954383763c52efa5e47f77ab5311f333765811fb7e5aea62ec9133","source_transition_ids":["sha256:74b1d4c0d2805b12c86b6b544305b12ad0c41f739183b717c7cda4a623e93b1a","sha256:19acca0c56ef5afdd01ed9b6320bd7db5d02148c88df113b77bf2d16dbf8242d"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000087","trajectory_id":"vlr-formal-v2-0000087-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c10dc15dc2d55954d9545989d0a25052e6dd78ae3cfbe6997bce327edeb0f4af","candidate_id":"sha256:14d091b4a95aa1c4fc2df76b6e9cf1747899937b95584b65409c75be603d1e01","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (-7)\n","verification_digest":"sha256:655ef95d30152b94d6176e1507c428f22715002fe20b3234343a73327be0d995"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:c9ad2b1eb85604f4964a6048270ca2ee4563a1f136b4428e6dedca12985b665b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (4)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a78645ba614af324bfce730335effeff0323c0c8c687ddc832ced923f283fc47","rejected":{"artifact_digest":"sha256:dd11299330b23e36349700221e7d9bc143cbd641179e8deb50c5d3a06d95b6a1","candidate_id":"sha256:11d18d084bd8f6e89b84b34030b6722bb31a745194b650a50050b2c1a3caf3d4","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-1)\n    return x + (-7)\n","verification_digest":"sha256:d4343850376e5393b924f59dbbc0402b90d75e98b089140b87c830c7f539802d"},"sample_id":"sha256:f6e8c27951fddccbac27e8049bafc8344c63a79bed76c2652e264ca95151cc84","source_transition_ids":["sha256:b4b58c76300476d208dc1fb7eadb4a3f48c2a4af7cbdd1a6fdc5ea2fa1f4e045","sha256:2171887157281a70a739116f0a8add271e5f722f183e478c50f6916455730c31"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000090","trajectory_id":"vlr-formal-v2-0000090-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2695f4c52a69a14addc03b5efc821451f2e4524b96d1651f07c4114880781278","candidate_id":"sha256:02086847b5bd42827b645e9883da00933ef2e50e137fffce64258fed1452acd7","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-1)\n    return x + (-7)\n","verification_digest":"sha256:1c24cd4f4e5122985cf5ae4157d6c331a0b6c743254be2b1e54534f7b661a7da"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:14d091b4a95aa1c4fc2df76b6e9cf1747899937b95584b65409c75be603d1e01","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (-7)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9be7dcdbe6f5e0cf205b47a32d74e5914afcb778f6cb85e9e9c77a4e1c885f91","rejected":{"artifact_digest":"sha256:000d5b594221824e6e8359f04ce9656b85e7fb56bd479d468bafc86f9665d3d6","candidate_id":"sha256:1469f697b0155bf5cc3769e24200036460efdb6fc0cef9d13f44542792126353","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-5)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-1)\n    return x + (-7)\n","verification_digest":"sha256:fd35afbfb974db750eb1034183d5e436a9eca80937afe0c4d1a0328d5682db99"},"sample_id":"sha256:b2fa301302242e178bee881cfb5f0e6be8107b872986aa3f4e24d793c69b9a4c","source_transition_ids":["sha256:98989744fb50e684e167d7a5f6ece7ce2a4fbd72cb11a990f25c4bb36222bcd4","sha256:2c036306a8fdf22711634f8c6272c44c4d4f32df23dbd6e080305564ef065080"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000090","trajectory_id":"vlr-formal-v2-0000090-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:24d2d094ce392882c8a666a9c37169d4b18abf20332d1c6f6a1bd75fca9a49d8","candidate_id":"sha256:1907212c903ce4b14a4a93759f6a8c8309459793aff6f924bedeafdc6e5abf37","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-2)\n    return x + (-7)\n","verification_digest":"sha256:42bb96c211510df32512e5d6e93ed2e99176c14a622a78bbfad7d8f0f35d828c"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:02086847b5bd42827b645e9883da00933ef2e50e137fffce64258fed1452acd7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-1)\n    return x + (-7)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c4a73c8b030c7374723e4a5db6063f40057412868b63860fedf1dc4238c57bb7","rejected":{"artifact_digest":"sha256:61e66b1c2c4b5e60402047b8e738b60d867895b4bc0703c6802d29d36dfab0e1","candidate_id":"sha256:7b7c429f2fe71c857c75f6f1ba95f021ac8cac1a90f56388f682922b2994b249","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (-2)\n    return x + (-7)\n","verification_digest":"sha256:16756215ab12c537b3c851b5bb944adba07c70938188d3dbe3067808f6d7bf21"},"sample_id":"sha256:eac8a140d479f5f50ea1772c528ab332b15e93d0a3b735b754c5dca50e0b1a1f","source_transition_ids":["sha256:8a52def24e68797ab3b0d4890cec0a74684c5f40259cb8492251900044e8b6f8","sha256:be9b4efadcc27180c261b66b430782956f89827e8fd2cc26d2cb005abd7696fe"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000090","trajectory_id":"vlr-formal-v2-0000090-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:86ce4eae9be5c848121ccca357ae96984d5f01675f24b2ca62e87d498913c3a8","candidate_id":"sha256:916d1cf8713d1cf908a1dfa7886e9c6b6abc11d647ade3a859093ec285b7cc8e","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-5, 5, -2, 5, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3c4a26aaed2837868a69beb6cd9f6e4cf7ad459e185a018528ec85dbeff1a911"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:c6793980bdfbc50a5f82a7c8d4009ea30484ae90e2d23087ad43e0a3db196190","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, 5, 6, 5, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6a38c8b05b412f2bd493d57a2867356a5b502d8c4da0f483a98b3aaef4693f73","rejected":{"artifact_digest":"sha256:3ff394437d2efd563d8f77362adada823fb95d05692a4602d4fbc264ad2dbd5a","candidate_id":"sha256:d1fa72571a2f8ad68d41fe53deeba0e77536c54c1a557a22d32788562f43f7f9","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, 5, 6, 5, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8c409b187ef0c26ecdb0272ac806d0489158a97a1e26e0653d6742d89db1df15"},"sample_id":"sha256:74dd5065021a607d2837b7832c188dd4a649d059756324ad5c1de13d06ebef98","source_transition_ids":["sha256:e6c670196a71a5a897b8d88881ccd37dd2ab6fa391b63d6ecd0fd0f9d595bfc5","sha256:baf8135d476ee5a5c0e0c088b69524cb343ee41f88579e77684f68f35f1905c3"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000091","trajectory_id":"vlr-formal-v2-0000091-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:271952a1f479be16284c893723e1db3ee07988873f04a68c4b194e17b2d5e59a","candidate_id":"sha256:1cec464e7a7d30094facb9ad214cab0ceebf011634680732af99b85699c5a582","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, 5, -2, 5, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7cefce3f69c1a1a7074b5984528295ab671fbb2c85628f87e06596c9e9d9674c"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:916d1cf8713d1cf908a1dfa7886e9c6b6abc11d647ade3a859093ec285b7cc8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, 5, -2, 5, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d79b07c47a9ee0829d08f971efa7dbead112123afbad87269e740071496f0f7e","rejected":{"artifact_digest":"sha256:f38a6356c06d1eeb6da813c7f0dd5b7518935fec7e83b90a8a5b0e3746d85dfd","candidate_id":"sha256:4e2668046f18bab8e80750f4c37c0650ac3b2b7df58a7415f584725759565f5f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, 5, -2, 5, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b850f35e9e31122add92afa204c10e5f962245af6a23ffd2cdf3ec2865ee45c9"},"sample_id":"sha256:4f078ad03ffe73180d55685394447743d02025c03189d947ff5697794815de53","source_transition_ids":["sha256:d0165230b2b44bea3d18fa7e912d0d48cfe69c397940b33d654d7c69dcf858df","sha256:e72079f2ba6a491f56e30a2108ff6b7a85abac143cd9e3667f96137f21178c79"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000091","trajectory_id":"vlr-formal-v2-0000091-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5b47a26611df6c116024dc4a77b16a4cc63f0519b4cf3f35b7b6da42b3d42d37","candidate_id":"sha256:807cede8d5233f9cb591bb91c4911dd87fab92a53c4887958daab1f67aa20c52","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 0, 0, 4, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:76a4c63df2f0b646b58151db8b69017132ec5c342bcc30ac123bde4beeb6ca16"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:b717cbd50a6c2c49e266a8984f7e4add70fd9f4c8cf8892f29a9b4013a7b9739","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 0, 0, 7, -5)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:94f9c2cc71434826f2e6b25e88540abe230b62f924e60ed8983f33219a303643","rejected":{"artifact_digest":"sha256:7c27939bb4eebd62a691b75602153c06ba4a647fa3673b9eb3dce3b9607f9ef9","candidate_id":"sha256:1c265ab5278ae93d54a32e9ab8803af5bbd68869d4c3522f9d6009f44d8aa546","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (3, 0, -6, 4, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f78dee27f7b39a3f3ad5507f5c45e9d9a04c2989264ed7084c1059029b792eae"},"sample_id":"sha256:b93cb80fa954493ded82f9bb482fe31a9123ec4c9143c1a9a48768656992a48e","source_transition_ids":["sha256:5622dd16f92626225f9b9b0fd80540ddacc6609d5e53cc59fe827fd7d920bb08","sha256:ca15f402b2670a5120544bc804a36c66e3e3b79059727fc4e67efa40b32d5074"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000092","trajectory_id":"vlr-formal-v2-0000092-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:38e7ee84dd8177abe744c6a9ad6bf73fa8a1ba1fe48d979f950dc75d634fdcd9","candidate_id":"sha256:d4cd2d2ddc7bc3f3ce86a2d5e01bd8212db8d62cd1511546fcdc17d9e64f2828","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 4, 0, 4, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2397b789f7b73ba03290474aba6cff7cf5c6c7da880cb84713f59dd7fc942aa6"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:807cede8d5233f9cb591bb91c4911dd87fab92a53c4887958daab1f67aa20c52","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 0, 0, 4, -5)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:69fc296a932eff2a4c972cac99f1e4d39486ca84f55afb5cf5057c7c712146b5","rejected":{"artifact_digest":"sha256:413e5eac46f62873625676b1a02d3cbe7b16a3e433905737f08f2fc2d58bdc90","candidate_id":"sha256:a382643632daf82426621a9ce44c884100610f5f55ca9919bf7e88d45d7da2c3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (3, -4, 0, 4, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8b8444e2934f47454ae204f2b6a10ea7362bfee3f173488046be2a657072ac12"},"sample_id":"sha256:994aa01f05a95c60b5853885552bf3e569fc7a7e9a5476b2e43166155c657ca6","source_transition_ids":["sha256:74aa0fcbff9db8a07b54345522b8a67b6e62aae3c71d468a823beb8c56ac0134","sha256:380c79d2232cfd0acf9d7947ea36207be797113db28a80e9f5f89e295f2bbf7c"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000092","trajectory_id":"vlr-formal-v2-0000092-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5b0fcf75f537511c7109e6577876ce1f9c15fe675fa281b9c0215a9bddc65eb0","candidate_id":"sha256:6e3250c71bb6dfd353a48fa9393f17a2534f6e790d0a01f95e414294bff05246","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 4, 0, 4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:bd3d0bc8e5b80a4599c530a503a9dd08409caa43716eb38ddbac8063922d5722"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:d4cd2d2ddc7bc3f3ce86a2d5e01bd8212db8d62cd1511546fcdc17d9e64f2828","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 4, 0, 4, -5)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1674b9b7a551acccaac8700377d7c97a4fe7895d088fdb14c33cd66816aeebd5","rejected":{"artifact_digest":"sha256:ff196b4dcfdb812af993fb471c1105606971fb7229d14dc54bbd4797dcddbd73","candidate_id":"sha256:a8bbb78da43cc10ff89c2a0b9737a5a4fee7d4723706a2778a691524bbc7d4b9","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (3, 4, 0, 2, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:254c62cef548106903d95dc41744dd63b88540333e2a75d9aa86d143c84e7176"},"sample_id":"sha256:a307d701a3c5515557dfc96aa1c1e898e6ea7a779597d507e2dd5b6adf8ba30c","source_transition_ids":["sha256:3feed6084538879e96c23bd978a5ac4e62d79f6cbccb2cb817e3a11dd76e9e8f","sha256:8ab3fd1b7d7c002a86813dcf9f043deab44727289e6b42e0e0f754d291faa596"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000092","trajectory_id":"vlr-formal-v2-0000092-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:14969b79764e56b5cfba210d83b80e763e864d58b934decb6408234eb768fe24","candidate_id":"sha256:152697fd8d6ee7d291d868e7d3508884f91e552b06e72f3b3747131c475e0fe7","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (9, 5, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1f7295451e41cc2c91f0f2fec85841ec83b3d2b1f9881a3ff197095d3d4f4bae"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:231e5b3f57afd303a1dffcf3e3e54fffdc6389bddc426dd7f1348c576a5f50c8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (9, 5, 1, 3, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:553f9191fd4cda89414c30fce6e92847f25d8767b4a5dfbbf6df93e89b4dee85","rejected":{"artifact_digest":"sha256:8ac971d9fb5b4ec7f669ddc841fb32b735463a2ed31e9f658ac38ed83ec5a9ec","candidate_id":"sha256:53354b6a23d153bafbf8e112074c0f24f167f63b13a1e80dc4e73b915fb035b9","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":5,"phi_candidate":6,"phi_gain":2,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 5, 1, 2, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:72cd5c57151e472f90a46437c7d1d9827be93ae50c804af9d53521dc2520f1bd"},"sample_id":"sha256:c1570113b1a6838d40d08be16372ff421bfc17369e4a5539fc95ec0252fd81d3","source_transition_ids":["sha256:430849407bb50842ab9307c75f6173c6c84b5413e997aa32fedd6af921833dcb","sha256:b5e696265cac0f5d751f6fbd1b8cf8d49eda6974fa85fca9d8e912118fe12a61"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000093","trajectory_id":"vlr-formal-v2-0000093-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d9781cb665f97d0ffb8eaff0943df88d433ea90c4618e1535bc4abcd9ba69b11","candidate_id":"sha256:c6d8a73bb19717ebd1fdea7edbbaa471b7d72bb1533d235e7090dad3c3608872","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 5, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6ac81f13f8e9d0332deae2c7078dba41095494bd8d31b6d1842aaa73a16929ea"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:152697fd8d6ee7d291d868e7d3508884f91e552b06e72f3b3747131c475e0fe7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (9, 5, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6e84ddd57ce219296d468b55c610c5b40675d98c38a898ac412b2a1bcf37c134","rejected":{"artifact_digest":"sha256:fee19ac292e2fdaaf2af8c9e0b499b8498f08845c34364e47e6e65b34b95d1a0","candidate_id":"sha256:1b70710caa22980b3d1a36f1c731d9f1254c8772d239ee5d30c6d2a5ea1c0c7f","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":5,"phi_candidate":3,"phi_gain":2,"phi_incumbent":5,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 9, 1, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2b1dd594fa254714cbbfa94457cd075ed800ebe39385bae39408afcf61ebe768"},"sample_id":"sha256:9027f64ad3c4e6b8bee9bf3769b929208c8d8bb10e22680cb83a4c1a6a2c3eda","source_transition_ids":["sha256:9653576ea87475df4471584bb1de87af4deedfaae3eafc67eec2481c3ac9299b","sha256:7299b7ef43433b2375f125c9a5d6b3dc19cd7e33ec1605bc9a733c93f1098d17"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000093","trajectory_id":"vlr-formal-v2-0000093-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6a4e75b46e2bc697a54b32114db42bc98be820aa6fd6175138ed33307a967852","candidate_id":"sha256:01f225ea3956f2aac8371fe4081d82ff669ca1f68099eebda70c9a23a07bcf06","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 9, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b6e932fb471f6fad4c204e4a4474c33c7871ac592cb65b23e9e2460e3558a40a"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:c6d8a73bb19717ebd1fdea7edbbaa471b7d72bb1533d235e7090dad3c3608872","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 5, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:77f13fb9a10b5c27639801861aa5dbe5b9fe32198bf3d3d873e4cf1d303d26db","rejected":{"artifact_digest":"sha256:8aee621ace8472dcc7fadcfe13a91d41e7a6426e895729b11cec1ad778559276","candidate_id":"sha256:8ffe9cc4e235e41dcaa48785553186ee43fb5e7f0b31ff8410adfdc472406440","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 5, 1, 8, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bef0d29af18d3ec25a5fadc5abe72bdd43d1cfc1aada5cc10cd2a34eaf2bf886"},"sample_id":"sha256:5dd7b84c4f0defc420e5a836e7bb3954ab3d0324fe2c06e6496a0bb821e05a8f","source_transition_ids":["sha256:753d5762e493928d280759301d148a6818336bf72f0e2d440ca0582eb24b1dc0","sha256:f39908dd20206aefc7431d6eb37a887d109d46fcf0434839ee4d816a57e2b508"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000093","trajectory_id":"vlr-formal-v2-0000093-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e0da0aa98f177d4165c0395e1d60ca2fe9bfe62b11fd344d50475c58dc74cb9b","candidate_id":"sha256:bf059fab9f0cda4f21c9d594166233c73984680b3ae730b4b03616cd8d5eca69","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (3, 10, 7, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:325cf4bba8877d1c8dbc3bd85c8e2a0021441b6bf3770bc8f486b8c5db81f4eb"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:266f97cb0e00bdeba67a68b8823adae1942b6c0bae7c21ed51e3ac950701351e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 14}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 10, 7, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9c4af65df65f96172a95a37a219004fc0a7b78ea93c188ae1062a97920e21962","rejected":{"artifact_digest":"sha256:9c39deaa26a118d649f9a1cc511cfb2fc392b8a418ebebfd446d20bb654610cb","candidate_id":"sha256:489295c778a0733d47fb8025e9701ff761518940d8f7b082a0229499fa70bc96","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (3, 10, 7, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f66b185b0dfd132ad468cd2e0e22515bd64883bb6c95b7485fc25212fac7d73a"},"sample_id":"sha256:8fe1c61a1919c25848ba0b768800532506eae69c19a87b93bc4bf82876f02b7e","source_transition_ids":["sha256:db73bf7a40acf16afd56902a41ca44cc1492e2309efc28fcbade1d677b2e6997","sha256:2e3fe67ddb5fe4bfe5621de162a6b27cddd316132a0915f15ffc83333e5b4e4c"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000094","trajectory_id":"vlr-formal-v2-0000094-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:484aa74943110355c4574b6ac33a1fb97887281dc8125962b07b8f92f49009a6","candidate_id":"sha256:f1bfdc1dfb34d2877afed676eb6eb19d341e5c499863a89810b583091214fe24","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 10, 7, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3ae445b827b8482d502a550091e86edcae029d80587ca552599447010680cba7"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:bf059fab9f0cda4f21c9d594166233c73984680b3ae730b4b03616cd8d5eca69","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 14}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 10, 7, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:edb43f9f2f580ae56292b853d15cd0ba98c9b0226ed6f41fe1b8b053f970ece9","rejected":{"artifact_digest":"sha256:524af9c25b07bca307c05bf20ecbf920daff382a37d61afbcd0357b96f1970cb","candidate_id":"sha256:3cbab812fb6c68c6e2ef51717cd29a4521fa7459581c05009fb49fff76cc13f8","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 10, 7, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3ebd4160603ff2b9f5e26120f2cda4a0a4ecc3c77cf5b310c7d524f87fb0d96d"},"sample_id":"sha256:10de15317175ac005f1f2dce1dac86a319bbced33b313de051a9e7d76f26e795","source_transition_ids":["sha256:ce04367ebc1c4ecb94be525bec4fdea2632a6f42c7847898b6eb1a17750e3f1a","sha256:67ede1a30738c78ee7d56afb539ae40787b04adeb1147f7f346410c7ec992625"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000094","trajectory_id":"vlr-formal-v2-0000094-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:72412bf4a51264822c8589b8681dd37cdb14fdbed6db44b8089ae72b7a0f2052","candidate_id":"sha256:3cb9e774b490b1e678ba23a78ac8346cdde1d608e95ec590e8667fc5d2f15bce","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 10, 12, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:052374676875979fc353b148b14e5e3c290eb683940e3ba8b6dafeb313367f2d"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:f1bfdc1dfb34d2877afed676eb6eb19d341e5c499863a89810b583091214fe24","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 14}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 10, 7, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3df9d2196abcb22c783b8acaf29dc6ade2b9b5ee3b7384d3679a3cd0aba1a713","rejected":{"artifact_digest":"sha256:438858f14abcb9471532cc1ea0139c85399ba7428c61bfe9308136e4fcf97cd1","candidate_id":"sha256:ef122635f543355b61df9bfce4579a2b99bdd9afc5894fc14ed399be87bd4ff1","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (11, 10, 12, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:010488fbecb3af910190443aa50828f71faa5aa02847c36b47e356f8ef751945"},"sample_id":"sha256:17270566dd5e625e1f5197f27e8a5bd3328a6eedb81c9fe91ea1f4cbc73850cf","source_transition_ids":["sha256:a12b88d20ab26bb732385881f5f9803bc9de1d149cda8562a3391522ad9d733e","sha256:47d9c8bd948db5f98a471a63e5c4391a07996406b9c559cdc6a03631cb922d93"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000094","trajectory_id":"vlr-formal-v2-0000094-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:754ed4bd2b290083dd6aa6465893cacc43f80acde5ad6e50f6c98f8c8b310a77","candidate_id":"sha256:25af67452023246737d0f1b6f8aedb9f699d6003d237ba2e39fcc98a1afdd92c","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 15, 12, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e36d74270bd107fdb9bdd609f31340a4675abe9e1136919eaeb4d2d8b76aa993"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:3cb9e774b490b1e678ba23a78ac8346cdde1d608e95ec590e8667fc5d2f15bce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 14}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 10, 12, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bc5c263082126cb8818f1291e1c203aae849031055ce882df7d0e255c95b87c2","rejected":{"artifact_digest":"sha256:0ab11c5f58c6fd594e4ddf026332589c77eaa01c5d7efd4ef0dcef7ee52839f7","candidate_id":"sha256:a626507a1b39d535fa92fc1381d130affc404254a7cbb26321394aea820d6c76","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (7, 15, 12, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d72809da3e3625856d72534a92d399b4e949687c83a605a84f6808f8c6c0754e"},"sample_id":"sha256:76995fba490127da1428e9adc2540cef4301adae76227a42fd401bc338172115","source_transition_ids":["sha256:cf88add9ce65f7637306d7863dbaabba0cc9824cb10cb47afce835b1fd493eca","sha256:45073ebfc4c9dea415f23d57e2e04d23e66ec50db0bb0a30cb6d4b1bf9ea02bf"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000094","trajectory_id":"vlr-formal-v2-0000094-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:529305988f9abc7f3080205a583f2c80f0d0eca92f487decf6cf0e0fa033db60","candidate_id":"sha256:1b944eaca49bf25e9b60026f258934a0862b0028da33e7d827adab5c27b389a7","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 3, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f5aa494248d9f0afc321076b18f0d4deb2f4f5a3e91e12cce1d3afb7c985bfb4"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:d40cbf7e5f6a86982bd50142c1b1ff40a6909695d6e4446a5dd1301936bb0cb3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5779b97e88beec3580f8b0379540eb2da219b8be2fc8924d4a5348e98a68b3a4","rejected":{"artifact_digest":"sha256:e5644ebc8be1c1f6a84b77ecb8d3631b702ef9810b9319a70cf2d18883ae0b0d","candidate_id":"sha256:7d9555fc79ddf5318d522a9dd1f389f0784771859e21b263059eb4036cf712da","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (3, 3, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:eadafcac93d1612a41bf2eff22a7756034398d81c3c6cdcab50398053ba6cfe8"},"sample_id":"sha256:b01d42a65deb9888b6098311ec6d73601170da835db5643b34e50a98e3a01a37","source_transition_ids":["sha256:ee1a4b2c4cf582f2608e8e8e1631bfc72c1b4a6fe707fa6799fe52ab4788d014","sha256:dd92d5ec30be6128f6604e7dc059d838b3249f75f38505e93314689179e9ca70"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000095","trajectory_id":"vlr-formal-v2-0000095-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:25618ca93d7b4af9fb5bb72bd529b20f41fed5fbe9a2f4bcab27891a416e94a4","candidate_id":"sha256:177ea2e1c83bc9af1ef1dbf65bdad1ba7d1aeb5b5b0a78f9ebfe7f5d69476446","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 5, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:9e3cf997d765ddffe55e1b8ad312bc96c9a214875f17536428e2cd6c6bff2e72"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:1b944eaca49bf25e9b60026f258934a0862b0028da33e7d827adab5c27b389a7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 3, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6fb6e9e5f83a578086d68817641621a4fd270ac42ca0949e959adaba04de6d2e","rejected":{"artifact_digest":"sha256:4bd9361647ee404241fd2fcf8ba9d70639b6b26d468fb85cff78798eaca1b955","candidate_id":"sha256:97a171897c486cecae4ba3a554d6bca2b356d6485b5e673d88c505b950fbda5b","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 5, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:05018340c82dee903c57b62ff78da369fd78d101b57e906c0d7f49b237d042f3"},"sample_id":"sha256:d6469dbd341ee253ccef6c8731510dd3e1eeec3e892bae28e2d2520509d73051","source_transition_ids":["sha256:86557e7655e3cb303062030741e703b130990e2ae84c581d5f9d533e205814d4","sha256:ad57290ed44fc18033f016e354a3d7d204c22492821c5ec01ee203e419b65115"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000095","trajectory_id":"vlr-formal-v2-0000095-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4914e4ac435c6226bb8d92f7818a31bba6b4140b60dc9c970fcaad42812e494c","candidate_id":"sha256:a7b67946aa02ecc8e56a925599cdb73d9d9f00e9403f478fa8440d876d02f5e1","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 5, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:618bd5ddb9e121feb1c2072d7a09a868c3fb4eac492d16db98926a237ec0c001"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:177ea2e1c83bc9af1ef1dbf65bdad1ba7d1aeb5b5b0a78f9ebfe7f5d69476446","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 5, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:35c879918fc8e1118b57a184112c711ffd1a1089da0b72063228c2ab246d1b5f","rejected":{"artifact_digest":"sha256:1c7f2529f1734f0c90e320c9293c3ea8a310ed9545ef717ab19bb97d28847033","candidate_id":"sha256:35f372b46a0186556897a8d999f3f16e9933bfeb37ce8c0a1ae49c2e3f32f406","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (3, 5, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c10f3e97c1538c243581d0d0da7b46f6861e36bfc891d54d77eb5116020313e6"},"sample_id":"sha256:92325ea24ec3e5bcd361078fb84bdcdefb5613afa0c781e81a9ca3307fa4deee","source_transition_ids":["sha256:1c785e3bd479ce1b5a18cf483772e1e546bd8028b4d8d620292ee07f0289232e","sha256:a6d3e3556d5fea0b551845e9e82c232794164a00edee2a2d54d550d3eed922d9"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000095","trajectory_id":"vlr-formal-v2-0000095-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:82db7a069cdb35aedfc8164b6625e404ec9ad725c644591e3e4c1b5d570e5d2f","candidate_id":"sha256:285b1d630012a51ef7edf2f1ff0210d96a6c43437b3e38b9da46d6e6984cf821","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-2, -3, 4, -2, 2, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:725cd5c193c335c04cfab9730b72b77810a98ec90446d7db90335f9eff79b5ef"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:da81e5e7b2b83f78b695122e3ea2d2dab0f7a5d78ff2d9a5286ab9acfaa37bbf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:e3c7e5c2be23db1121438abcca2b72106b39f2f66d55f31cb129cc9d09799386","candidate_id":"sha256:50a486d74c04c15fb590a35605445cbf46b67069f3337225407933012a6658dc","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-2, -1, 4, -2, 2, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d6032076eb77afaea05b13c906e48e9d64907b34c9e8c81680783a156febddcf"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:285b1d630012a51ef7edf2f1ff0210d96a6c43437b3e38b9da46d6e6984cf821","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, -3, 4, -2, 2, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ad29bfb907445bb1f9754233fde32a8faf40ccc6ecf9ebf25b70bf5c729c2bb2","rejected":{"artifact_digest":"sha256:488aea3bfe457bad6dd3faa8b133557aa987046fb8ed39819aa819b7d4f7c881","candidate_id":"sha256:8978307a783441fca40e178787d34cbf6aed4ff5ff1da7dfa8e233580374c2d3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-2, -4, 4, -2, 2, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:6d8c27fa5d1ecb35984e63978381f8c488ef488870477f2857cc4ba868596027"},"sample_id":"sha256:dd67736d61130feec071f48ba196075a486e121124d076bf47e6677b8910b6b6","source_transition_ids":["sha256:1400428fde98cf375e067d1ed30a3399e32695d2a4cbb3649ae3273ad5c39f05","sha256:f58fc8cc12d32cc5e72841d131ca30fd54b5c5e9bca42ecd2862f883ac2ab447"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000096","trajectory_id":"vlr-formal-v2-0000096-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c7b5ccfcb79f019456265d054893630f36070b955bdf5c0e3a6adf5ed0f03a88","candidate_id":"sha256:af57c40285173e4bf7d8ec0e4344b8654f05c36a28c1c89f7ebfb87934fe8e6f","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-2, -1, 4, -2, 2, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:81ea48c8ca57a754b57a8c56f9ad5713ff170212ec751ea8acf37776e9a2d34c"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:50a486d74c04c15fb590a35605445cbf46b67069f3337225407933012a6658dc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, -1, 4, -2, 2, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b887d08c1f75b15b3016e631598283d8483e02c072316b563846892882495879","rejected":{"artifact_digest":"sha256:6e78fbd633c55170874c3cd9273d550ba9b991c3772468f01714320ebe353461","candidate_id":"sha256:2500de2f53fee2483c7ff15527d648453bca6929c9973e1b0f06979c540dfe4d","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-2, -1, 4, -2, 5, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d8aacb423f81acaefffb243978ce9bb685a88483875076709e05ecef6b437faf"},"sample_id":"sha256:467650329d89da43431ce69d05ae345ad1cfa151837aeecc26abd1e53084632f","source_transition_ids":["sha256:143bc8772d5c9ec215c40a8acf0d8a5af7ddb2c012acf613eff5623d17d6b399","sha256:b310e4a2e5557bf690d821afd81c4aed7424344bf85e4a667cebe42cb526c4a1"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000096","trajectory_id":"vlr-formal-v2-0000096-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b52b1b57f4ad20776b3028ad90677db0da4bc5eca1531638171fc628691c93e8","candidate_id":"sha256:f2b01cd5ea733d83a2053f77d764f49aa74dd1739cf91418235f32dc49f55f03","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, -1, 4, -2, 2, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a03e32fccfc0d8988ec40bcdea6f4327c4b8a9dcce6adae1173bd0583e9fa454"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:af57c40285173e4bf7d8ec0e4344b8654f05c36a28c1c89f7ebfb87934fe8e6f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, -1, 4, -2, 2, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:488d087cb2a917f0c9ec30f59d1c6fe9779545e67bc7432d780cf6fb4716a216","rejected":{"artifact_digest":"sha256:65426fd14ff0681e78d656b2ce2c4ce81bf1699daf413498b272116979f8d756","candidate_id":"sha256:f643e4e3e664b425ea738aa76ed756edfb40942ec87a59d9a31a121adbd1d050","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (1, -1, 4, -2, 2, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:fc9fe9cb8a165a5bee44a8acdcba66bab475571575373b3149bc5df1f9716714"},"sample_id":"sha256:ac50593116128e5165f02892858e3a3eec208b587eeab16dd183654a93932155","source_transition_ids":["sha256:540548895a812e8c837266af4c3d9a3289009d3a5827a5442e4ed62805638b13","sha256:f4943da73340c31e3e76cc0f4a2790428728d9c265548f2528cb3058b4820c4b"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000096","trajectory_id":"vlr-formal-v2-0000096-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:caaa09bf1d323cd6951f3f1a27917f273488b111cb1f8cb37067e2a621d53e76","candidate_id":"sha256:4d1abcab21ba68c2aa56c64b6e54fdf7751b2adaec82d54cd4d476bd6758ab9b","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -1, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5a052a2566e3782c65c31d998649249398e5cbeeb4572abc5a679302bac64d6e"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:56ff36c6213a717e4c5f6813adf5131fdbc72b449e506390e68ae51422dfeffd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -1, -1, -8, 5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ed4ed3be242b419891773eaec8eda0da81c0e6e5f81796503ed9342a9dca413e","rejected":{"artifact_digest":"sha256:f83cbf5d9d4ba3bdfac1a0f6aa93aec41fb404b7061b87c01d061b88ed082308","candidate_id":"sha256:6dd6cee133771906b489aaba7e73b1fc642a1f060fe40faa892649a20b3d6130","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    table = (7, -1, -1, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5f738d1c7bee3ddf48a992055c60949f0327725c0f656b4f18b400192cad27a8"},"sample_id":"sha256:75756ce5a6426eb4f46b87d3e9c37d39520c2d1bc03441bb9a1fe1ead8ba2d89","source_transition_ids":["sha256:2605528fc0485d90d26a3425c99994c211920e60e7133aac7ce00415c49f8bc1","sha256:572c8c8f1e7d7a3b03f82cec6e05f308f290bc22139d481611d95c10c264d22b"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000097","trajectory_id":"vlr-formal-v2-0000097-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ec7d35b61ea017dfe520d4dee5600d8c5ebbea72ab9a008df39645bbf4760db1","candidate_id":"sha256:6a1719cc0eb3edd82ce5170be7dba6252ed67606f4b609e934154b333d897916","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -1, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4c480cb68556c22c4cb093f3e4f62fda84897e5cd77e44376dae83977eb6e58a"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:4d1abcab21ba68c2aa56c64b6e54fdf7751b2adaec82d54cd4d476bd6758ab9b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -1, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d6052bdf0f15b3611980a6fef2ee796d1595e9dbe4cc05c0c7c2ea4bd1784348","rejected":{"artifact_digest":"sha256:647517a72dec9f032e90acc90956868402940d0648da57cd3881aa2a4782330f","candidate_id":"sha256:50dbd71a80a9eba5ba056ab239036b7d074c63cc41dfe98dc9be7f2e8ceb7903","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-2, -7, -1, -8, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:705173e3813b9c94d049cdce0c5f7ae5b32a9cb5f959268da7448e2b97929fdb"},"sample_id":"sha256:159dba940ac1d6adcc7189e7989efafd002ee5c262d80bed188e85039349f5e4","source_transition_ids":["sha256:29966c1dfb9c651c684fe550319809af7d55aa37a6fb12233dd8b04d92355bcf","sha256:bfb9b819bbddaf5cf8e75138e9c59f1a595ad45b344479e1ccb2a19f82487775"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000097","trajectory_id":"vlr-formal-v2-0000097-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e818d632027c81b3e6869fec7bfaeb3a8808d4359ea7d971d6b3842703c5d205","candidate_id":"sha256:725be7f538953c58d8e4452c91114a4ccfa67ad5a4374b8d1705e3b6ded3d016","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -7, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:df259f7df507ba39349e79ca720906d9fc66b61cd2b706b3840cfea22c9cf682"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:6a1719cc0eb3edd82ce5170be7dba6252ed67606f4b609e934154b333d897916","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -1, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c9ba693eb2714b574788d77e65bbd8a3cec33936b5fef407af57e4f01028a954","rejected":{"artifact_digest":"sha256:55d79c7c94f3b7efcae3896c208d5930b94c28c87a8ed18ee1aaac21a2585975","candidate_id":"sha256:35a53e45e6b10d0837076c0912ca76c3f4ce63c734788a7ffa2b78ff764f3fe6","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (1, -7, -5, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:580603e4a69a59f74e26f52bb3c931842d7efc17cf718157bd894f9bb422115e"},"sample_id":"sha256:45599080d35fca8eda8b2f9d5d39e780bb698efe32750c929f55c94d718b850c","source_transition_ids":["sha256:856e78af9a201798acd83558bcbc9722f604f199228fefbfcc20c74619781799","sha256:e4dc2f67fbb6bb91ec409cf5ff82e88cd5bf51ac4e40c71d6722dc6d434c6057"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000097","trajectory_id":"vlr-formal-v2-0000097-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f93c1c0d4f6dd51d48518a4543659a79dfc62834d36706dc87b0738851bf35c4","candidate_id":"sha256:142103f22a73bea1ebd30cb36d2e0bf7625d825f056bd5684da9929355137686","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -7, -5, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7ea9574f23c2f31915a800b37802293f20800ff1f564c0bb604a0aba829df9a1"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:725be7f538953c58d8e4452c91114a4ccfa67ad5a4374b8d1705e3b6ded3d016","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -7, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dea481263555ef7f829d0b484b99bfae6a92be76782be6bbc6077c7fd403aa08","rejected":{"artifact_digest":"sha256:a727c838efb144f5da689677b887657ca30acc3f3c7f99c36a8abb63765b545e","candidate_id":"sha256:3d2ede4f89809dc8252706a64f1d27e97e8a087cfc400e65510748a0169666a2","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-2, -4, -5, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:496526392c2cfe731d0187b7e7e34395fea30b4eaff797760bf3657b445dea5e"},"sample_id":"sha256:dbc0f0dfd7a1e52a04c713926da1ed2cdb61f0a5efc320867e0e21cc876df6cc","source_transition_ids":["sha256:7b0f440d404360305ddbb238cd17933e529349c4613d68348c326a129d7315f4","sha256:0e3b83b640f61da33616a90533d02344de6cf95ba8955e35b539c573d6be75f5"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000097","trajectory_id":"vlr-formal-v2-0000097-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:87c1db69d8adeeed091fc7e1785c9de0c4243f07056ce0faa231787f106583fe","candidate_id":"sha256:f79a5d3f84968eb61de20044a4a4088b36ecec04392e21df05b576bfe7a19749","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -7, -5, 3, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2f014a35dc5979ecb6d0938fa95afdcbb2ba19bb3cb3fc45a154ff5e5fe97714"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:142103f22a73bea1ebd30cb36d2e0bf7625d825f056bd5684da9929355137686","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -7, -5, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ddd0eea39269afa9a8db01f35553108d7e18185bd231a5f39065fc47498ba179","rejected":{"artifact_digest":"sha256:7b958cf222b8ee5267c33e58dc64ded76dec36d52dff7edccb698b7cf53c8f36","candidate_id":"sha256:02241f35b08b0c5eaeae2aeefa63f804b8050801f93993555d9df7b20e72deda","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-2, -7, -5, -7, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1c40947205e44e476d7ea512b9419d77a769f3fb67b3607b157e60a63614a26d"},"sample_id":"sha256:c9092094a7f7cecf3ce53c92d48e142c93df29911cdb26685291f3a5fb56d344","source_transition_ids":["sha256:ec3540daba3c2cde59b7a0009b057e0c2f3d849c3861fb5ae67a4b0db59526c2","sha256:fc0309eb0bb3c553ea5705470d2b6dd2a1784c21f540125f60a7c5ba2fc64f33"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000097","trajectory_id":"vlr-formal-v2-0000097-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:61d0ab6743c342787f4f5bd8f8d6eddfba71c1ba5393909272bb5fb16b4dfd6c","candidate_id":"sha256:49812f16c7286833a710073c5632caf5f1ef12237f329e5023464582ab63fc47","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, 9, -1, 7, 7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d35d8ff36ea67789fefe18d17a7b3cd55c0089443de82fe5c50828c7505ed01e"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:53eef6a29fcff13e31997e50d71d8c9f8f43fde1b205d64ae92b93d2846aef23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -5, -1, 7, 7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2358833fbf05e727e78234647ff01563818c8cb7651c1a682d0de4d43a217f82","rejected":{"artifact_digest":"sha256:cddd89dc6b7076eb4bc6eff9ac740f5ab5a84067007324da8586338b83694467","candidate_id":"sha256:7e12e17512f862914af5ce9e52c96e37ec5d063666c130e1c7b729caab1524ae","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-4, -6, -1, 7, 7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:726c73c37cea976b39f10a3f80dcd379387dda511e9748fffb631ee011d17924"},"sample_id":"sha256:b023ecac5c2a11fd53cb0234f72f9c898772c2bde53ee75caa3f16e201dbce22","source_transition_ids":["sha256:bd4da9c646676c666bc31618d6b09f089710c8309ebe340a72b8167f10da965d","sha256:58df74ba98e4291d37018b4e33f764a68b0a5018f3286bcc04e34f28abc6fd71"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000101","trajectory_id":"vlr-formal-v2-0000101-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fc37380035d0ae70d134dc76fa61c1d4414592efefa977460d1cdf553c164f0b","candidate_id":"sha256:7c6a316e44b119db91f7a648ccd5381f4a941e8748a1ce4f48c7001ffcc35907","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, 9, -1, 7, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:72f7cab72fc1245cef0ef82e1e69f1df330f54db089a0b303d0601cb39be5c32"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:49812f16c7286833a710073c5632caf5f1ef12237f329e5023464582ab63fc47","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, 9, -1, 7, 7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:66aa61ba028d12243ab5de85f3d84c563d4fe4ae57ee5699a56cc64359c02555","rejected":{"artifact_digest":"sha256:193f9acac5a3eb1041f989e37a5142be9a76f8d8331b846108a9d8b0ac954a68","candidate_id":"sha256:bd3e5d691a1e3d9c51aaf71717e77a29e0fb70dbea9ba9a64ee3a1f18a0c037d","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-4, 9, -6, 8, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0ec616ee77ccfff9a7944ff252b0e564e0b69b9d32a5ccb1a98ad3ecf39d785b"},"sample_id":"sha256:07b3a2238eda8dbe9330ffee21a56788ff8e6a2c03df95d295dc3c0728d9dc23","source_transition_ids":["sha256:30e865f775cf7d39ab7bfde29f07a605bd02feb9e131d5a873c53e9e35abdd1e","sha256:e9e46abb782c02f6d7949fbca8861f9726d616fa27a886f52fda248cc4be5322"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000101","trajectory_id":"vlr-formal-v2-0000101-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:f413149c9eba5345dbcd8d852599d324b5c8a6a7f33dce512ec92c4128b07bf3","candidate_id":"sha256:febdf86ae2223e74bda51a44a6b2f84fb8a98e7e393292ad43fc56da3894e7e8","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -7, -6, 5, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:17415f2b2eebc52f3961f0a6e64651f5f8bdd9fbbdf1d0935263c0eac8c9d32d"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:3140b1edfef9d919d17560bd15cc70078555282c0cdbeebb66268dbb684fc26d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -6, -6, 5, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:30f28758b81ea6e93478aec73efe62b968211c285aa0e0634e31454d697c5865","rejected":{"artifact_digest":"sha256:72e07631a011f038dabe7e0ba3f27d8b82b9b8cb05ffd28e84be0b6acc0c11d0","candidate_id":"sha256:fd7a3777a787fe135c9a3d520bb153375fbaad86459158002273fdad3edad24c","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (0, -7, -6, 5, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:abbe80f1b18acfc9d222421813aab1d53344968d723ba555bc194f93c278f57a"},"sample_id":"sha256:a086fcf5d7bc469a12cfdca2e5b1e9c0d1437b411d207e3af4c16a681475ae59","source_transition_ids":["sha256:848b649d5b5970e03614f0503c6e499004c1dcefef36341c0e0d68551ea090b0","sha256:7851fdfec868fb7c12a9a8e771edf5fdc638f4f17a80b3ebcc08d4616ea7bc37"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000102","trajectory_id":"vlr-formal-v2-0000102-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b8a5b4f9a2cb4c7d4239d5068bb917b2da41cae70ee7fa937b1ca12487eab820","candidate_id":"sha256:36b2bb4022c02f1a528634393ec3dd89cd133522b35ee9a3e7a094ba1afe7a09","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (0, -7, -6, 5, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5a3c4285eaac14668d0c9e00fe1c4d1d8a7fc2eb247ae75ba9b2a68c934a16c8"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:febdf86ae2223e74bda51a44a6b2f84fb8a98e7e393292ad43fc56da3894e7e8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -7, -6, 5, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:387f9543fdcd43ed3a7bf905eb3e8991ecdb5b9c7aea9a593c2e90b866d6c926","rejected":{"artifact_digest":"sha256:79e22bf3aaf622d5daa66e5e3700249acaee768f6b8b91bbee42bf426cf4e5b0","candidate_id":"sha256:df12b162c90eef23e43fbd816f555a2dfb895b68eca8546ae0fe46a4b888f122","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (3, -7, -6, 5, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9161b097f405910479e9b416b1b4b63902f22ba68c8d5e1ef80ec37022d669d2"},"sample_id":"sha256:0e882437b81a5636e7dc23a08b70bc28e431ebe1d52b881cd74eb1e941fdef83","source_transition_ids":["sha256:0c0964173f8024b73b9385aefe617ff153d28f3a8f80f10066b206f132ac97ae","sha256:3b8d77c9d8fff5d0086d1769e03ff827dcf3448c58b6d92ea74dd2779877fbd2"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000102","trajectory_id":"vlr-formal-v2-0000102-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8637ba8e74d491be4f3649e6ac51bbfd415b7a73c1e4202551b5f7e7ca7117b1","candidate_id":"sha256:17516b303ccc5fbb9a09a666612e197c54f7aca1e30ce2ffe3852c16af894259","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 3, 5, 5, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:db11e0047c2e12dce0390c6836c5b1ba3ebda4221de2478613a8f471813088e4"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:f3dcb1185ff3cad4b4b80583c4d1be8debbab3bbcb90e082092f7a08cd8c081b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 5, 5, 5, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c766a84e94e4d22c7047b13b8f96efbc5c880b837a3e90af21c17d4103fe841e","rejected":{"artifact_digest":"sha256:bf27bb821ee62ec7ffdfdbb6403270fb6cca667d0763669d7af824d24d998476","candidate_id":"sha256:35ca383ed2cbdfc559696c2bc43b46485af0e589c38e6c4db26ad210c52beaa8","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":13,"improved_coordinates":0,"phi_candidate":11,"phi_gain":-2,"phi_incumbent":9,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (2, 5, 5, 5, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:aaa72b454cd25188477846cb6fbfc7f0c4fb3acfe7e1761a54126b24a8d9d66c"},"sample_id":"sha256:c8ffec5a9a4d6318cea1b9ae16df1040ae5d5c0fc66154f7cf08ea60a47311b6","source_transition_ids":["sha256:5292c2ec576b0d6a0d23661e127fdb8eadcfc226190e7c75b1faafe8816364a3","sha256:1cab2fe008f24ea5fbc29047f7b3369b0ee9a3e1f7407a77bf57ac02da70f640"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000103","trajectory_id":"vlr-formal-v2-0000103-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:35a3ee8e9520ded4604281849f77ab9d3aa85072a211962bddde62d140740b15","candidate_id":"sha256:49ebd719ef3f614bd6245e00d8f0904bc6c30c6b71490feeca1ece1160f58b12","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 3, 5, 7, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7e6bbc7def635d06f243a0e67867f83dc919e0aadc89df6858ade4950e5522ce"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:17516b303ccc5fbb9a09a666612e197c54f7aca1e30ce2ffe3852c16af894259","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 3, 5, 5, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a4c505df94d22d6f935373e9ffd891fa285fc805dbf8f1ac6f0b724fa142028c","rejected":{"artifact_digest":"sha256:d5e23c36886f40787ed0f1200cc4e13295c781119c9b6919c6bb87c83099eb21","candidate_id":"sha256:121ae876d28cde5968cbb5be9958142558cdc60f53a5c4599d5b6b8d227d24c3","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (3, 3, 7, 5, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:84a7e4623ceec883e505b7ef4d976df54219d2a95092edfcbd506f109c0e962e"},"sample_id":"sha256:d0f99a7b0c3af5293c59c985f166838cff12269cd20437d1006bdb557ddbfdfe","source_transition_ids":["sha256:1707d6fa3caae746915d47ff45f909ed2c927c66ceb42b199195314f4c2d0416","sha256:dea5cd75acb31b1b18f5fce25317b93ebdec0daeec08860b9de526ab2cca4e2b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000103","trajectory_id":"vlr-formal-v2-0000103-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:571dc47ab5178d0017584d83cb4e32baefadcaaf7402c25f2f51d61f688b5eab","candidate_id":"sha256:0f390a9eefecc8114dad134ad22a39baa8d466c7ac6f63e5bb74b885c8c43b8b","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 3, 5, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d15fd2d2b65f71d13ecc14d566167b7cda7ef85d76e686a38eb4f38568eb52b6"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:49ebd719ef3f614bd6245e00d8f0904bc6c30c6b71490feeca1ece1160f58b12","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 3, 5, 7, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eb4eb22099aed178fa860274496a80e4287446344b280302f6f02fb7a3a4fdf5","rejected":{"artifact_digest":"sha256:e5dd928f9d70b4a26819e624a062349948b93c5090896e067c52f76385deb3d8","candidate_id":"sha256:ba7c44b87b70712f1ed94a2e6e8d6cd546ed22cddf3428058cedaa94a0cc2590","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (3, 3, 5, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6d9f3d7ee25b0bce07580a57f0a39ffd0a75a67e7c1f2a9bfc9b4031626804b1"},"sample_id":"sha256:2679ad21c018b6e4a6d0b10042f3387f54a855b283b76f2cb778d3de66fc18e5","source_transition_ids":["sha256:9ebcd5ddeb1e8f475a005ee05ce996c60168d52530681623be24d3171ea148dc","sha256:600a6b537c95a645a9c14dca2f0814b95b9f6d601b96489166e85cb6626f0c80"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000103","trajectory_id":"vlr-formal-v2-0000103-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ba2992a684e5d40e54cb56da2ff259131083a63f1315cc3e1a5204cbe881baf6","candidate_id":"sha256:cc13341046087ef5ccf48812bef706d7a4784af423d29216c024880b78b9b106","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 1, 8, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9ad806b1c9f8aff186e5396378b94a7f8c28bb2ad951abe7369e34f2c61b92c2"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:650d44f834e6b0accb70ae6f0920c041bf61bb257a6de5d3a4e8c58458020073","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 3, 8, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5a5010def5704f953bd29ac559dc38559df44cfa0b3a9e49b48b94911e0e81f2","rejected":{"artifact_digest":"sha256:248efe67bbbc736f04813782e21cfa4b3e04eb95c9863bf07fb905a18c2f8037","candidate_id":"sha256:6d477bcff0372a383b9cfc72a207c28ab6c94ce817b64e2fbb8f4e0722131bb7","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (12, 1, 8, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:abe9ea31168d272dc1378cac7643c972394d0bd2776010db578c4543124ee17a"},"sample_id":"sha256:7686698c809191de44c1f93941e1c6614269d211ef1b6a1d850cc50661602071","source_transition_ids":["sha256:bc77ddd916763de5aa8b1c15e0d07e8018db2913de8b8f9bda29e36efb7b6a10","sha256:1ddb9b3f99b82631226e86b04e0ef5653811786f980c41f40802b15ba6172270"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000104","trajectory_id":"vlr-formal-v2-0000104-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1672d9aacbe7e11e31a6429bb40025e07087f139d1b8e257791adb93f891487c","candidate_id":"sha256:d58b906d7a8e0385bafaa2f5c0945b427a9c888948330685da0c7de313010694","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (13, 1, 8, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b751cac995f4055360d5fe64e61a9f65767dce43f19558f0d10d0d22323ad98f"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:cc13341046087ef5ccf48812bef706d7a4784af423d29216c024880b78b9b106","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 1, 8, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:873de31d77742e113a71a17e56c004ac25a0dd0fd3504746e46ca45b645a22f8","rejected":{"artifact_digest":"sha256:f5f0f8542c997854ca43adc3048226b218632d5abfe7d9f72a98d505195823c4","candidate_id":"sha256:0fbe8afd5dd66dc3bc2aa9780d8cbf75e915070902f03d62c07328f2d6ef0175","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (13, 1, 3, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1e4b2dea47684a41a47dcc315150d8e96267ff9c3e992ef3e4324368938cabac"},"sample_id":"sha256:3f5292eedb476a25e0ae89ad1b424eefbda5054093faaa9448196b3d697398d2","source_transition_ids":["sha256:d2ba39c1d6082e7b0e4ad37bb98d430048122c8992f7f74adc51345e34f13374","sha256:281b76c859a022e6e7ece95e4ff7ca9f9ba09ac1e4f570f8e95efb498033b533"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000104","trajectory_id":"vlr-formal-v2-0000104-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:47d877fbf31feaadddf6727b741c5faf9663fd4835bdca13995f5807aa7e9573","candidate_id":"sha256:7aaf0bce7442255816579bd912c6770deac419d2c11c1f2dd08b196a36ab044b","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 2, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:24afa81699c13f2e0a729e358523c464c05292a8c780f4f4b79ac9e3e8043c12"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:e356d40158948a27e7289c2cb459d00b3e37c8aef3a810e19094bd836d6bec01","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 2, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cb2acb7e7f57a37258525668d08e28de398a132aed01df51040cb2c20a1d1ec7","rejected":{"artifact_digest":"sha256:156fe29866a6a9a0b1d8be3f5b42829f33080f52fc927f27565017f6395507fd","candidate_id":"sha256:2fe65e7d5dbf60c3f88b86c6bf1c6a8806e296b6a68a986c055ecdc970242ae9","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (3, 6, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:598a3bd5f987ef59e72a19d2a89136cc7909ad5ab9184763e999594eaf468f11"},"sample_id":"sha256:11c86a068fad8515d89b719169a82b361166079257fb108547d7665f0f8d56a1","source_transition_ids":["sha256:dcc98284761434d88c78a0467208e3febe95d8d1cd4b54679de6d3af1a2d7ea6","sha256:a27a68823e0f59cc9249cc0e09ac4180fbb36af74c96611b4769a879d2d233c7"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000105","trajectory_id":"vlr-formal-v2-0000105-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6f98185f97e1df4610d828f93d9a7f631ed4068a4c6bad739bfb1fed32d47def","candidate_id":"sha256:6fb5a4a21281f0f0fb85689a3d7c0541b8f0a526a83d9af108c1106aa4b48338","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ee7de778912fffcfb5398f0217510555553133976c018de97aeecc847da3dabc"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:7aaf0bce7442255816579bd912c6770deac419d2c11c1f2dd08b196a36ab044b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 2, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c996b3fc96db20a23d29de607fbacbdc858faad30209b218ed9291252971d089","rejected":{"artifact_digest":"sha256:bdfe0b7c99915833d1f6b12cd53e8456893adbb03f0f914f77e2042afb0ddd9b","candidate_id":"sha256:ade8421e7503fc6d660fa3be5d8408e825edd682f889a7e479618bce38f99be3","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 6, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e1f6dce12fb14603125d1f96dd0a97682110ad3ffcadbd84a1cd1f4b3c6829da"},"sample_id":"sha256:2aba86acbb3670fc1eb7fd8f8005bde0e11618b0b504b7072353c7206aeea5c0","source_transition_ids":["sha256:231e5b9633d6d95ce1895bb5a50d6495785977d8b7952a805cfcabd0344b6b79","sha256:70d1ca00ed24f2bf0eeeb74db8cf5ec7ce618460a952037ca7d848fdd9e2c6f6"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000105","trajectory_id":"vlr-formal-v2-0000105-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b15fea8eca47e2b873820166f87801e071f961465ee0f1b6283056e442a83b65","candidate_id":"sha256:71848b17ca324b89c497f93d3dd943ed440826a126697e9da55b8590fbd4b13d","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 3, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:d79a6d311127b0b53824e77dbe6303376562073609b49336beb6b2e514ab306f"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:6fb5a4a21281f0f0fb85689a3d7c0541b8f0a526a83d9af108c1106aa4b48338","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 3, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ea2ef87086922ca77f40e70cbe7b08ca6ddbf46f5490adf5ed72c2cacd7c2087","rejected":{"artifact_digest":"sha256:645b860576e4bc8c1d897807b16ca54dea3909d11736b3b968baf99c9c8a009a","candidate_id":"sha256:6b7ae8437ae074a6c83120a957575622afa2bd02e01b4d6fff5d3a8183d3b79d","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 6, 3, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:d6952e6045198a2e55056a75563dddf2675ce00419a6fff2325422459e67ce2e"},"sample_id":"sha256:cceca45526fe36fe5a3337ce58c1d5a2aab6bbbb2d58560460bb64d13dc7b454","source_transition_ids":["sha256:fd54e2fd1ba289932686cbc2dafa0f93949335bd6ffc764370a9442f0c3576e3","sha256:e43da739d112475b6d0f66d9481fee39b83181a3eb365d083867be63f41196a2"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000105","trajectory_id":"vlr-formal-v2-0000105-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6a89eba1571ef27658465d31a99302b6c77c2dba5c8d136f72231d0b71f26b61","candidate_id":"sha256:548615cfef72dd6603a7e9413e00dbf4edca1b9d8522e985e0a86dac00a8c1f8","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 7, 1, 8, -8, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0a081d147bd00634ba317cbe7cb30fc871762bfc94dffe796723c01d9b316459"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:63d5885eb4341bb1c4947e10e5786c48e6a9e27fefc96d02117695a3979f151c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 11}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 5, 1, 8, -8, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bc287ba0aa765993f9ab7f0d60667bee6bf4c0189b9c36a357c4a8fc7d832300","rejected":{"artifact_digest":"sha256:293efd82d3567e9360480bab90756b181e8c5bbe07ebbe9e2e0fce7cd21756f5","candidate_id":"sha256:67b3198130cc41bb5813c801ddfb09799f334109194e0357652d67a56a622ca1","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (5, 7, 1, 8, 7, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:9930991cb3cad716b9a1c471d9eeae2c07f7303812fa331a0ffa59d16ab4f8a5"},"sample_id":"sha256:9fc2776e2cddd635a584ec1571ed31b526a4408d8a9fe1fb6b9614d28f0e6eeb","source_transition_ids":["sha256:67fae8eaf7d6f422bd3d11c1b5946cd6eedb47e10ea802f469dc6d045e7fbfe5","sha256:eec764b68063d506849facf6fb7f3f820fe375b83d390f2bbf3c526b4e7332ba"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000106","trajectory_id":"vlr-formal-v2-0000106-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4222347c85bc4237241d0194a771b5d93a7fae5a97d601b062a09b3503d6568f","candidate_id":"sha256:d28378408919221bd5ea4271886c20e162c7f6b50049859248f35e947be8a0bc","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 7, 1, 8, -8, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:471e0d7dd3512f19cd2361ac13fbdcde9244782e9a7e19c1526f9ccd82ca6137"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:548615cfef72dd6603a7e9413e00dbf4edca1b9d8522e985e0a86dac00a8c1f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 11}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 7, 1, 8, -8, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:15172afaf7e60b8a6794414a9c31ab08ddfbab91e88b09ac0d05bd0fa4bda0a9","rejected":{"artifact_digest":"sha256:b9b8a35591df2d6bf10a812174b533ad6a834588f4b30371c36ec7b825a2c383","candidate_id":"sha256:fe9767fb37b15139c7c64417a918692eb114ba34c99c6008c2be0c5a43af2676","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (5, 7, 1, 8, -4, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5d2622dc761335ea4ba19591239707cad363fe82b9b80c0864c329b2ad3305d5"},"sample_id":"sha256:7c3a09a7cf231d27b75e5c51b1e04817502e75733341eb861843ef78ad2a121b","source_transition_ids":["sha256:f17a62714d7349921149d0248fd9f25aa150ff7b7f902d7b3091e84b1bd5717b","sha256:f06d8ecf73516f8d55d92d78eda34f2ea3b1c005e4776b3f8eb50e48b37ad0d8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000106","trajectory_id":"vlr-formal-v2-0000106-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0f5fe8cd365b01e33d45db076b1d63c90c432528b95419cd96efc4e0b12537d5","candidate_id":"sha256:3b7a38639c0a8efb82ef35575f766ef00a0059351ae42d069806a1c2cd6a7175","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 7, 5, 8, -8, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7388086f5333b48d83deb29e9b73f1340802166f0bdd3a44d869dd12a4898fc4"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:d28378408919221bd5ea4271886c20e162c7f6b50049859248f35e947be8a0bc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 11}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 7, 1, 8, -8, 1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:12d8c315d22741680354cd09fa9709f3177211ee911c0cc1e26918f118b16c89","rejected":{"artifact_digest":"sha256:fee4778b143697a169882bc7d2e6a472e55bb8c6b213691ffdf5c1d0e46d7135","candidate_id":"sha256:bc2b36f6b591b7be5a0678f95a5411a3b28dcd330c64205298e5ac2ec227f022","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-4, 7, 5, 8, -8, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2a01279dd862091aeb6502867ec5aaf3b6a76979fc3fd68e17baabbb7191bbc1"},"sample_id":"sha256:dcc6f29b297011aa06b9e12ded53d3c58bf868440fd2dc1510a91efe49d91f19","source_transition_ids":["sha256:bdafc2d792421ab0d2b6a2cf5ea81ae93988e005a8136b037912aad151ead60c","sha256:71c737e3b62a1247b1687c6fc50d871222aa2cbc58595f850647d3f6f478bf08"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000106","trajectory_id":"vlr-formal-v2-0000106-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c06af91d83f9b729e599e693306c76f25a15a715360b4eca830a6cfbaa0ad785","candidate_id":"sha256:137dce090e835c4f17b4932be905125fdd873e4f0ac3590ba49c73bbb300e7f1","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, 6, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:680a4801f7515cad099e46893d669e24f12566af924f244da29478edafabf4cc"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:7d6b2fcaef9f390d4b8b218d77d1b84bf44d3a2fc5175fd16cde64916b14d0f1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -8, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:30a3acb549256829d3d21043b98d0489d6f5b649e945452450dad84d1508294d","rejected":{"artifact_digest":"sha256:80ba0291cd6d8e17c53a6c8e716b9c329a223b73600ec9bcd50d6c210f72a0fd","candidate_id":"sha256:7ddf3d2adfff4cea5a51bc746e1b0abababb1072838041e772aa6b284f0cb5f7","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, 6, 5, 4, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:655feb86a61ba991731b58779d602eae15d54a02373a29a3e5ab91e406075308"},"sample_id":"sha256:e7283b9127a39696d8d92bf6b59e28dfb6b8672237c609cc211e6ad3f45d0ff4","source_transition_ids":["sha256:d3a9b164ea4ccff0c92a289789e7a0b7632f16c40d53ccb677b75f20145f494e","sha256:5e84de9ce4c4978ebbd4e0d4516a24b7476fc838fbe0f5b5c63653999b31a0fd"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000107","trajectory_id":"vlr-formal-v2-0000107-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1dbcae5dd75dc8fa62bf6d510e86e112be7eb274b124266d8bc85445abf00941","candidate_id":"sha256:cd39d3e4132e2d1795c8a9c66bf8c5b6e6fa978e3b49a9c900dde5506774cee9","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0d8f4460122cd00340beb50f003ab3a66f801946daf6245d963cff233a94ab3c"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:137dce090e835c4f17b4932be905125fdd873e4f0ac3590ba49c73bbb300e7f1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 6, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7f68fc8e40d0aee5d3f73efc0ced7b0cb5bc99c0e5f7a200ad7292c1c721cc8b","rejected":{"artifact_digest":"sha256:69aba6ccbdfb689a2578e961ccc79f96d0f89b2abe69dc206b4129785df2e7e0","candidate_id":"sha256:79cc7b926f0eedb3779d55cf513d7fcc67cac99cfbd7d924291927ef61bfe145","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-6, 6, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:46c1a4d1ec46d2dd1687a07ca59a1ba000f102eb32030b937dd40b6fcac5426f"},"sample_id":"sha256:e6aae41e6c1c07aeb5a140bd8d45ce1f5a0793661c8170135ba75e4dca55a634","source_transition_ids":["sha256:0912124518f1ebbbafe43ed9710a26f236cb968787b2e253cf4695108a2f729d","sha256:640af082782ac9b110f96771be6f4956fd8ffccee2daee70bafd007eb27f7ee7"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000107","trajectory_id":"vlr-formal-v2-0000107-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:eda11ff08e951003b610096aae3dafa439e6b78557495ecd5b14268747546bfe","candidate_id":"sha256:6cf00ee954c56edc23370ee2f2e255412a8ff2e0b0f1ef56d423268bb775ec1b","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, -8, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c7542ead412b8c88b09d2ad473be5f5687bbbc3e65809ba57898c66989b5baf2"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:cd39d3e4132e2d1795c8a9c66bf8c5b6e6fa978e3b49a9c900dde5506774cee9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5160aaa5b19945142dc9a79c7d4a49f664454c7a05d0113343c520be49370356","rejected":{"artifact_digest":"sha256:1a6c95b38f3c240f6602afdf0e9ed8aa02e5bbcdf0c0eaab5032ee0b7a01a758","candidate_id":"sha256:302018a300ff9cf7e5aa57aeb323cf61d1f921186a3ef08bef7c203b2e4c0f85","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, 6, 5, 4, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:135428ff4888015a750d88abec570f86b793fea50fbafc8c6e928fa2571482e4"},"sample_id":"sha256:0163718c8d733d9bc97a8d6f847f7ad2c8f81e24de368c0c12619e76854403cb","source_transition_ids":["sha256:ce5206a256866e966cbe5d4a47dc6fe5358af968e760ba9321d8c016daf8ba04","sha256:50f1a16d85919ffbcca93fd84c50db6e0ec8567792bbcc8dcb5f77f03da9aaee"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000107","trajectory_id":"vlr-formal-v2-0000107-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ed1cd32d031bad2c97eb922cfa18398def03d507e3177a9cb9db93ef83a99c5f","candidate_id":"sha256:befac99956305220b80964dedd85b214e5496b9dcc34e2eebcd9f49f1a61fdbc","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-5, 0, -7, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:91e61ba0ad7487e82892c3103bdf74f9caeda3ef5872fc39596e1704a2c39113"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:5f016e83708dc955839799e67183c05cda8ab49a779c9c1daae45dc65d3471a3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, 0, -7, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2a7908d80e0dbc42134f69b923ee7038e36ce77fcf2140fec7936f7cd02a8fe0","rejected":{"artifact_digest":"sha256:bceef0ca22c279da68a6303ef55f80eb8ccd06783fea8327f6ea5e387c14295e","candidate_id":"sha256:8c7249b9f56483af82e03c7c868baec3e43e5001d2022b630b2c7530fad842db","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-5, 0, -7, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:84834b985cfdcfad9bf78f24a664544b4e0089ebf4efc71c3329f78e4d61e4d5"},"sample_id":"sha256:d715c5b5be9bce548c0161e8b82bf8d16e254155967d64ef52014eb0a1fe7157","source_transition_ids":["sha256:842884a59a40e2d84049bacbd2e68362fa5dff5ec99693428f0133b6deeed18d","sha256:af1390324853310839cf83ee45b81890db0e13391982e9d9f2f3f8d57d0e2a95"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000110","trajectory_id":"vlr-formal-v2-0000110-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8f4867362c6a05c780ea0f51e6476414859f4b48eb5b308ebdc626b12c6731d5","candidate_id":"sha256:ab296c82e0d8cc36ebdd3e5f742584686a86c363eabd7ac152e1880dcb695517","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (7, 0, -7, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:62f8a748c6f357051344053bd8e62a133fd253d485154512087d0603a92f5a7c"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:befac99956305220b80964dedd85b214e5496b9dcc34e2eebcd9f49f1a61fdbc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, 0, -7, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0ad8c11c44c35ed8e68ba1b5d404e8751d4046eb0e52564dae111d2bcaafc474","rejected":{"artifact_digest":"sha256:ec6777db3ed7df8270e1c3edc660b35be81104f090f815af2edd563eff4f25f9","candidate_id":"sha256:33a1c94729378f88031ef81a28e5f350568b6062bbeea2b005d94173014f849e","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (7, 0, 3, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:76663cb72fb2bc95ddb7ebc5aa1383bcbd7a595b8639f9e0cd5e731488a8825c"},"sample_id":"sha256:382ddf3deb4dfd992b5efa117ce7bdb1c0f5e8be0ecaf28b2c8d1a043a567889","source_transition_ids":["sha256:93548b82e48d09982aec7a76ac1d820952503891ffce1530a7ccdc0149e292f9","sha256:5b0745a08bd8d6928f6aa3dc96244f13dd5997e9c0beb6e8ddb7672f8f8b381c"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000110","trajectory_id":"vlr-formal-v2-0000110-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1fbc79c8d38b8787792c2f9df09a47acc460001f2296e1178e2e27ca86a12a1a","candidate_id":"sha256:cfa360b7e6c70634e7f007cfdef920e3164e77c3658cc84fcec8a3936991b3d1","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (7, 0, 3, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:bf3f8eb80efb9a62bffbc1f1e0cad6edaa3ec81d62e2a516048e88afdda2b478"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:ab296c82e0d8cc36ebdd3e5f742584686a86c363eabd7ac152e1880dcb695517","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (7, 0, -7, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:328b8826df3900580a78ef09eb1037a2eb8bc60485568b45bf8ff549d405827f","rejected":{"artifact_digest":"sha256:66278ff720bc33180098397a95d25e27f6a633f7f619f198983ddc0c4adb6baa","candidate_id":"sha256:70d576f79bdf802ed296fd182e69f6c635b911fa69580a75ff579b16f2948a98","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (7, 0, 3, 7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:c3ef378044ad7474ed47beb79efd6ae4e50dfc2f1c0490cd6018339b2940aa2b"},"sample_id":"sha256:41d817e1b724f0eb686226b14c14386c51d4aa2d31e57a72aae2332835f60572","source_transition_ids":["sha256:2f7c8b0e0c8afbd97161f27979e2265eff6dcdaebb34065bf03909af3e19d30d","sha256:1224f090aca77df090b9649ef104d8f9fa7a5a333cfb355af5ff8d2f7a0c5bf9"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000110","trajectory_id":"vlr-formal-v2-0000110-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:612f2a0360a2610b0427ee63f1885ef339ae3c74e2df81f547da7ef9fb4de46b","candidate_id":"sha256:05db254ad73b092967d2af85893362fb68db7382052cc1c47bbad8943b323931","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (7, -8, 3, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:f90a7e5fee7721b7aeaacd20842ae4c7aea2d60462f3842e5900715306d79374"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:cfa360b7e6c70634e7f007cfdef920e3164e77c3658cc84fcec8a3936991b3d1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (7, 0, 3, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:873000411a8b72fe43e3c44a6fb07a1b47b5c891f580d81f731b5d65a75f7347","rejected":{"artifact_digest":"sha256:52d78a0b178292fb95df64b5130ea6a9606eb08c99b5d4b0edb8ad9af3fcf382","candidate_id":"sha256:680c64c7da04360165a6371b76d83feaf5ee63e526366c34d51855b8db002249","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (7, -5, 3, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:64d8bd523c991ee096ff4ec50212e5372bcec1ab159d11c1a8c4877f394c4865"},"sample_id":"sha256:61d77cf7461796ec121ec96a6cef9eb54251eb3c24e1c972fbadf8124a73b7c8","source_transition_ids":["sha256:c1b37a321e1766179d788efdd3d4cef3bef52bb56aa7682c801126f33e44227f","sha256:c4554ec5670180013f9301931714fea33945b6e787368f80273bd55dbc103cd0"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000110","trajectory_id":"vlr-formal-v2-0000110-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:1c718757d956f1e5a82fb81a8c475f79a391c11c2378a7debb08e66256430eb1","candidate_id":"sha256:603c4949ae2a7620a3cae86142c320f74ba29284ea7e6541c423d98f24844ec5","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 0, 9, 2, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:eb7dab209c3f12489165071867b0db6c803f8f2e21dc1af6ad2b7e43b0d82570"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:8494e764dc7f10e4152aa28a055bfc4245cf792c710b8c23415c238c4b95ef70","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 0, 9, -5, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bb58c2db9b0d32ab24baff9b887b7efd4551f03bdbb7e4e8921bd8bfe9c7c239","rejected":{"artifact_digest":"sha256:e27a7fb00dbd4979ff8835a1f9cf194df339e12f45384dbdce911e3e190089f8","candidate_id":"sha256:49453a78430a3083ff5c67d5504fe38ab344e0904b1c55bc7c2a063e92ba8db4","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-9, 0, 9, -5, 7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:508fcc6218e7a913f1bf3f681001a6b5973159b316bd0bf938303d4315078251"},"sample_id":"sha256:5c300a46950be241438f87665a67b217923a4ba1bcf3b30b9789b28c3c4f05fb","source_transition_ids":["sha256:d2474830a6005b97b7e4f445d9d15c9cf72d630feebff1f6214ff516a2f51cc0","sha256:04f54f72fa79c901f5a27ec8e02b2b1a3e87be34799984ba7a9a32a33aa395bc"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000111","trajectory_id":"vlr-formal-v2-0000111-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:08459af28b3bef5d7dd44420a47e9ba01360daaab0688615e6ac4533c64ec051","candidate_id":"sha256:93679cf347ed8fa97eaea101894aed4abbaefa3a04f605ed44e82129eec875a2","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 0, 1, 2, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f58c7ea73614afb80ceaadc034c94979705e44fb6a1c3e1e8ae3ca4e60596a7f"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:603c4949ae2a7620a3cae86142c320f74ba29284ea7e6541c423d98f24844ec5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 0, 9, 2, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6f47c955df9d2439739585b268afd531e248582b87311d10e42ed0e06e4d288b","rejected":{"artifact_digest":"sha256:d01028f098be85f480195006c005d56f729398e652d472864d8a9e606464a997","candidate_id":"sha256:fac0cc51fa784f8715890d2bc92e20e426a5602fe63f8869fdd7aaf1af2a900b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (3, 0, 9, 2, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b67987aa00bad96e2526da75c24dec54768fc669216f8670a92a1b30682d321d"},"sample_id":"sha256:13e3bc800d64cb4577ad83d9b9e1dc907f5cd0032745df8a4b87eeceb9f5efa2","source_transition_ids":["sha256:d50d0a2eb8e62b8034d3f381f9bd0933ed727784fc26c270ff71091a843f6f6b","sha256:13379d75abd5da5a318830ca341111c7dfdc414dd367eff607fa1bf3fd3dd7dd"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000111","trajectory_id":"vlr-formal-v2-0000111-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:166cf587479a1e9250758a86500123be4ce16102a611e7b541a7835e6d296de6","candidate_id":"sha256:c79b2dc1be639215fec953f833366b2509385069c768e850f5d80c6bcf7301f6","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-4, -3, 6, 5, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9c83d1e0c9fca6024b4aea9878a446adf2a564bc76978d70f8765efc1205aade"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:af2d66a00513bdd8de26fe573981cb774efe67ade192e60add2fb294b8a77ab7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, 0, 6, 5, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ef5ffaff3638589e6b17746db92eaf98c8b2017f00539a53a79d28c3093a0135","rejected":{"artifact_digest":"sha256:6cedcde2657883c26bfc3b3277b7ecb1be0240c9b37fa066f2c3c5b14f326f4c","candidate_id":"sha256:af3b14b8601de783ae0ab97cf90ca9e3e3e2b47c46362eedbf2d490ea5221e15","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-4, 4, 6, 5, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:56b308e43a69134b5b5950d4207d3f9d4d83be29b29b1f3c7375f914d3d1451d"},"sample_id":"sha256:94bd655cd15e4423065bf7517fd2870f55ff94487ffc62cd92b35ac3409fb3c7","source_transition_ids":["sha256:7d52535ca71e198597b8e0bf255834158a7a10510ecb30afbe0f2468683f0c69","sha256:482e31839ef0a21f7bb5d35e796c7b26239764d90f6323e2bd377e419fafb5f2"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000112","trajectory_id":"vlr-formal-v2-0000112-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:97e39b38d3b666c6d138807a335470f249e462756cdea5c2ce28fca619b57677","candidate_id":"sha256:77e94c3625758faff66f76059de0a0f95ce2ee1d1f780f97d26fcf6964f649ea","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (0, -3, 6, 5, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:355bee4d4da8d7c0c4025e9f1c46ca0a61213c4a05d0af1921c3b2163107f929"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:c79b2dc1be639215fec953f833366b2509385069c768e850f5d80c6bcf7301f6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, -3, 6, 5, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7f3af977e77064647653ea5d3cf3417dc92b4153ac4c4958120b35fc3f3d3019","rejected":{"artifact_digest":"sha256:36e8e91638dea952dbf6250d82410a6635194cf2beb8f9d3592162ebb96820c0","candidate_id":"sha256:5cc915c4cfd8c114c679f5563a45d68617e488ec372c3466be0568060c646df4","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (0, 7, 6, 5, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ba7a6c01e5437f3a9036af7b924f891bedf81a17f7f8a2e676eb5cdf6261aaa0"},"sample_id":"sha256:454f6bc549fdfb93c57168fdd048b8ab0156175f48aeb03c49687ce05dbbbfd1","source_transition_ids":["sha256:afa4c51340cb9a35ca466d3878eb443c1a4d35fccd7383ab5b2ff19e7ed415cf","sha256:aff6a422aa5e702568fdcdcc44db57600d8dc52e1daa7bedc920f04bf11c7f57"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000112","trajectory_id":"vlr-formal-v2-0000112-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f566357c14ee8e79f6fe1a12c1a9ab56bc1d157f4e9c1702f10a25a05d53f701","candidate_id":"sha256:d83563c12b431262dac1e7d80ad3002e3dfc01db9c28c771996bdd38396c9fff","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 1, 3, 6, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d59ebfc83790d7eff1ded55ad7142fa9e05132b5bee34b3e3de941fbb3e5e0cb"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:5aedb3cb28f7b84dd08c8494dbb8984e940ffe9ab0d33176aeeda47565c7edbf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:5150b9ffa39a37c89e9f8446e397141e328230b0878397f93488864b00e199c4","candidate_id":"sha256:4803a10d7d2e308b866523737cf4e6177e3b2a9e97845faffe6f6584fcebbce8","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 1, 8, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7dc19b45d4c7fa0e4a500bd3355d71ffa9148b93b15a6f70ab82375de93a73d4"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:18333f37a7ede78d50f965f187d68acfd1642f5b0c432244320dbc15fa6c98c3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 1, 8, 6, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9b253a026cd5d4dcc74dc8da237ee4e22f92df5a9550ae772091e4d703ef8329","rejected":{"artifact_digest":"sha256:7b7f3b8f6bff5168183a5e5cb705af6c4ce7de713095153baf913c2b9c3d1ab6","candidate_id":"sha256:3544afb66e5234c2b69d600be86cb6382644c769582795dff12278b79fe86fd0","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (1, 1, 8, 1, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:de6f77f97dc46b60f00552441edb6030b3d4fd2834ffad4cfe4b07c79967aad5"},"sample_id":"sha256:9c61cd6ffe4c39852c30f247cb91032ad415d76643c7d5b953ed83f61ca5410d","source_transition_ids":["sha256:7544ec3bde8784e1bf884c02b4131385345c11476e5f6c7077b05d245347d505","sha256:002d5195bc7e920d5eff9dbf0222b93fdc55ab49f44449439b8ced7566c3c169"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000113","trajectory_id":"vlr-formal-v2-0000113-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:886447219a7e808e4c7b7fdd92b64acb39e55d685ddf14977ba91650a9d1b650","candidate_id":"sha256:166757a71343d851a4be87ef21ef8c2834f5bbd3f68982c22459dbba81c51ba1","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 1, 8, 3, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f050766af44b1f135d092afc557ad27512ecb7f999ace3936dd902605901cec1"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:4803a10d7d2e308b866523737cf4e6177e3b2a9e97845faffe6f6584fcebbce8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 1, 8, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7a5e56a2973752f56ff529a109df815156f49c880a9ce4ecb093682b3b2b4f41","rejected":{"artifact_digest":"sha256:f1ff3d00b3841f5ebac4f03e06f8eef6f0ba26e4692e747fe09d9a7c6569e4a1","candidate_id":"sha256:a2c8ac57143a55e395883be4b2963c917682e4f5f6a878d17613f63d22a92482","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (1, 1, 8, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bc9927342a3e9815ae8182dbaf8afdb11ad887333ef0488e851f46ea18846383"},"sample_id":"sha256:0b389ae5fbe1aa29d04925e54cb1a9e7139652e329010663c2524b486a173d30","source_transition_ids":["sha256:cea4a44a99d35a86737d8cdd8766e0135f84c0fd2aafe1bce0e40730902cf46b","sha256:fec804570e708abc2a4ff74ae6e65088f0e01479386dfe107c9aab8aacacbe9e"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000113","trajectory_id":"vlr-formal-v2-0000113-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:71285e57fb7e903630398378f32dd6f66dba66dc4bdd3af1b49c9391b286aca9","candidate_id":"sha256:61ab2c726672597e675fda78cdcb269528fc8b54e81762ccd209e449dba35856","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 11, 10, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d554bdd62399c3516e28c56446cc13144d87ce1c262ecbeb9e2ac1b2b6db4b52"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:8181df6db16cdf0759e104fd2ef0471131e07d22233665bbff1b6bd2a7e5c8fd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 12, 10, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d22d21edac6748eb8aeb103553578d96ac5103213efef8c438bb6b5272422480","rejected":{"artifact_digest":"sha256:efb7e29d118c65225acfcdffceef8d3a5e3dd96551844d9fed0f3d02b00c9dc4","candidate_id":"sha256:8a1ecef7c160c52638802f58293fb82cd9b21c5c0d532bd3879c159a3abc3838","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (11, 12, 10, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a27b6647f219d1af37c511401f6e773a697eabd60c485550f7c62b2fc5bc5c9c"},"sample_id":"sha256:0efd0e4e1e60e95cd61eb55c132ed07057407e59efc1a7a9f687bcc2b4730c03","source_transition_ids":["sha256:e188e9446bcf6d7d5cafc2ab064dd5203513fedfc718f1499ee30443a9ac4eea","sha256:cf2c860c52e49e4648ea86cc502ee9666dab72b5d76de19c0e9c41270f09e7ef"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000114","trajectory_id":"vlr-formal-v2-0000114-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:13e68a2afbc6e36bd50517b17c8e32cfded90c642675bb79b9fa552ff6a74b5c","candidate_id":"sha256:efce0548942415d64ecd13bca49c412a6f803aae20021c902bf3ad23b35dc09a","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 11, 4, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2bc31a303a22cacf4a5ef032b006e6ee2314f8c67a42e17694bfa27c356112ec"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:61ab2c726672597e675fda78cdcb269528fc8b54e81762ccd209e449dba35856","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 11, 10, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9154b6321bf686fff591fd7a00a6f41f511f3970d98d44609fcc3228f310247b","rejected":{"artifact_digest":"sha256:707115d5f7846fd2c9cf402929d739e19c66dfeb36548273db860f932f3b7f3b","candidate_id":"sha256:6e5a0de8743b885851c23176b23ae9c351133c8b5d158cfeebf669064a172d6c","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (1, 11, 10, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1fcf365088eed94571d5ca5ee263be43e6d0a81985f353bdc9bd7bdb7ab22a70"},"sample_id":"sha256:de2b77ba2a6098004a0e1ad3454a3b6cab3d3eae4df56737ac062ab808182159","source_transition_ids":["sha256:7995a71af94ec06465e916cc1d6b60e57036aac887c9297ac6f63af306d17f1f","sha256:078653f21fdbd3968a10e9b59c320c0fbcee80128f44db59fcc873f724bc6e20"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000114","trajectory_id":"vlr-formal-v2-0000114-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:643100c3ef7cc38f11329c4fe11f3a415b5081cceb116cacbda46000da57b476","candidate_id":"sha256:eb5250774ef13e00aa78b11bf5a8fed3995e5ea84dc22c93b8895babfe2b8aae","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 5, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f48586a8e7ebbfba4749e81de8c3d4d06a2c7eb251861681f8dbce97c4f9ac2f"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:5b271db0e0c996f01ff96616906915a541716ef2c924f41a60304d62682d94c8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 5, 4, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c6df3603d889790cb8fe1021c301953ba8c415a33c4b7d5d2e31e1c5e46b613f","rejected":{"artifact_digest":"sha256:b4d6ecc76f9c438dedd05649f95269f7b38677152838bf1eb20c6c2e981c420a","candidate_id":"sha256:d30a5bfce23c08e6e85c67b8544fc8477f536710c2ebf85c44a622c4a3ecb402","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (2, 5, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:bf91366366ecef64917084db9e0248e206cdeb29443e638fc25598e08475e0af"},"sample_id":"sha256:86dd28ad307793ab1c21deff47d80985dcdbd1e23c54a16a4dd1180e8dee06dc","source_transition_ids":["sha256:aed2d06d5995560f2e6d1cdce3e1929baaa1df2ce481fe898bfbd01df0dc9f9e","sha256:60dc906a796e02e57c778ffbad27ce642cf0cf3af74a7c6dd67d167d2d7f02e9"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000115","trajectory_id":"vlr-formal-v2-0000115-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:09f9919714cb534bd7469db371b2e9e08a2322e833bc2e78f4594538a9b7bb84","candidate_id":"sha256:d4882a536114133f6cab2cfd2ba4efd8abf1baf3d4ec9cfc4a096b095aacddc6","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 5, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:126bfd9a81de9d3afa0e9b5a4849e8d8c7b3f6d7f90cdc601d9ece1ce182625b"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:eb5250774ef13e00aa78b11bf5a8fed3995e5ea84dc22c93b8895babfe2b8aae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 5, 4, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3e2a718cbd0e6fc6f35ab68889cd8a55a15491d5d29efb803e60476ffc8593c1","rejected":{"artifact_digest":"sha256:b4d6ecc76f9c438dedd05649f95269f7b38677152838bf1eb20c6c2e981c420a","candidate_id":"sha256:d30a5bfce23c08e6e85c67b8544fc8477f536710c2ebf85c44a622c4a3ecb402","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 5, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:bf91366366ecef64917084db9e0248e206cdeb29443e638fc25598e08475e0af"},"sample_id":"sha256:b0c8b443b69af553e56e7ab4d955fca527c2a46cbfa8673d5a9135099e2e7a85","source_transition_ids":["sha256:a3b378d541cb97281e779ca1cd4c0cd9ea2af8bab241547fcab1b03f1383e484","sha256:7f9d898455da4b501312f1d8371c3b1508a600a02633163b6474b46783ad06c8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000115","trajectory_id":"vlr-formal-v2-0000115-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:51f07480bc8b4c595a2bf6ccbf1ca9ff1c20a2fbf9536326ba478d4ed4befbfa","candidate_id":"sha256:a90992aded5b2d8c153ae07dc98b6696e84b46122ae4155e46e3268818e73a52","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-8, 4, 1, -1, -7, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1ed7d8346c74e0995e300a08b849475af9ff4a3dc10e403ac396d52c1aa97fb2"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:9728101bf63182d39f150daf249f65fff04e0307b381522ec2f711543a1424e0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, 4, -1, -1, -7, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ee821b0f440fbd8e48caca4c540b2e21378e4c7759f450ea9255abe6deca2602","rejected":{"artifact_digest":"sha256:47cbb586e290f54c4f5112c1d3e18b532a66fd888b1c78084b49aaa0b987c27e","candidate_id":"sha256:366ca3b2e835c6c89f4f507b4a86d282550e2e7bc0bbbd74e64a4846807420fb","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-8, 4, 8, -1, -7, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7d8c6cb611958ddcc66fb64c50795b808afe2ad60dfc1d311e5a3bee2e1cecab"},"sample_id":"sha256:38b7fcf5cca04c2ce97d84b80a6c15b806df1ecd31b7375725d2e68aa1f2fcfe","source_transition_ids":["sha256:137f6ca0a27db4d5e43bf9a2716e2de6b1964bcfb94d22c6daee04031417dc18","sha256:d66812711f4560bc907e0671b953777de6d851318daab64c1edfb5699276a94e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000116","trajectory_id":"vlr-formal-v2-0000116-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:49d29d829652cd204489061d135f81c26b7e2e162b0abf0d994533d495cfb4e6","candidate_id":"sha256:c4396fb2547d59966d88868af669ef4b623ebe32df2ac7779349d8e2dee28cfa","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-8, 4, 1, 4, -7, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3de109d8994b94a881b1f08bc0535f6e01529c196bd908c6811b1b0179ec6433"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:a90992aded5b2d8c153ae07dc98b6696e84b46122ae4155e46e3268818e73a52","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, 4, 1, -1, -7, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8cea3449186183d5cce6342c085a7957437674cc6762879d0a3ba831b175b87a","rejected":{"artifact_digest":"sha256:9e5f43d2c45ee11560af63f5ef1cd220b05f9f3279c3f18ef514e547216a852a","candidate_id":"sha256:adf55ccc6085752ea7b77980485529603038cce5a79e57a6c84e18320b15f172","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-5, 4, -4, 4, -7, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:845d3dfb304e4a0e78d03b544800c7c35f7aa2fc98aa900c57f55fd538120db1"},"sample_id":"sha256:34269f7ab624ed87efcb742ff87723eb8ed4e0df75aa32632d4dabb0629b15dd","source_transition_ids":["sha256:331fc3b003d644da89cde72b685180543cab8a32a4c72ce93bac8e39d0d24481","sha256:9dd53756e8769e3ba12b6285a0dadca48dcd6ea2fc073caf5afa032c4b6556ab"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000116","trajectory_id":"vlr-formal-v2-0000116-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6e25a90e1661a70f60fe59d133026b5df8c85afd3359b80ee6fc2828e43e36ce","candidate_id":"sha256:27402d1003fbe7e2ac3acd634cb77be5bbdf695d4ccac9dcb8dcaaa7c5044ab9","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, 4, 1, 4, -7, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7f42337c44e88430bfea24624f731f416675c82383df260b96e70a5b5993087a"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:c4396fb2547d59966d88868af669ef4b623ebe32df2ac7779349d8e2dee28cfa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, 4, 1, 4, -7, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fa1148a1b9dc5d40f97be6677e4a35e312219f10d74fb22fc0589f2e8b8772a9","rejected":{"artifact_digest":"sha256:4375d8fffb5e580298d9762a68ce4782ea814181d528a641cd3768e8076b5de0","candidate_id":"sha256:cdaa42361b660cce74e8bdbb50e580924f7b56e6a4bc9f7c17ac3a755f6c0770","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-5, 4, 4, 4, -2, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:24503f38f0e6bf1cbdad9ba230a08abe4616e2a9d109521230493c57d93055fa"},"sample_id":"sha256:8329b8338ec49dfa52f1f4ef3f7e53bb2adfe04597b2e7ab9e7c3fe0271e935b","source_transition_ids":["sha256:1d3936f564fb5276cbbd6cf203ad29986b39a819b2e1cfb02f3ce661856a0da0","sha256:1f2e9ca30e05a5ad64ece0c90d7efded6ea63dacfb413a0df7b85b5e441a58d6"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000116","trajectory_id":"vlr-formal-v2-0000116-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:932c01b0e43efa7e9662a7f3a0000615530518dea90e985edfe19e2d1f3d7a94","candidate_id":"sha256:22fa6d712831c497909ebababf2ec0c067eb2a1da4577c7b940aa3a101027e09","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, 4, 1, 4, -2, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:9b0e5c1f397e5010e871e0c215288f34ad9f50c4a899ca22a73ea86e74981ed0"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:27402d1003fbe7e2ac3acd634cb77be5bbdf695d4ccac9dcb8dcaaa7c5044ab9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, 4, 1, 4, -7, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1b80984bfdc0f0ea88c3a16364e798d3844100730306a0855b75aef4897e46c3","rejected":{"artifact_digest":"sha256:41034353f77a176863039304cb085b10a987075f3a15fa8469a4c41d63d3d7a4","candidate_id":"sha256:4721ac1c48d6436d8685b399518f216b7b9d33ae7ee3285dbafd181429cd5294","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-5, 4, 6, 4, -2, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:6da1fc74d61cc7ab072e36bad16c272e77a05191e7ce1504c0302dda5c49d416"},"sample_id":"sha256:4492348e293afbf13e01a042f530190055b44f93548a369f96e6404de64fc75e","source_transition_ids":["sha256:b3accf36e53649f5688d012e5c6dc3713aabe54b357f32fd9ea1c2bd43067809","sha256:f14bc718506a5f4678b0a7195a22a2cd59cd96a92b063c03ea426486d08cbfdb"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000116","trajectory_id":"vlr-formal-v2-0000116-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3afe0300e5d108878d55a9096f05d449a791914ffe2d280b952f6a547ede8d48","candidate_id":"sha256:87a6c6b57ffe735d3a06c8f0700788c5a1781f422e2ed6344bc5283af1279b3e","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (-9)\n","verification_digest":"sha256:a9900e379db2f827b6bf3e1e0af8b99564d0d80fa5dfe1ab8c8d7f2648553f54"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:83ba8c4bc0692642c92a6ac88e4cb59b0ca237a95361ad0546e756013262a122","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 36}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (3)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ecaa97275b0f6a906d7a29cb9e0023646cabe491f9b1ebdfbf4a0fa7e724864d","rejected":{"artifact_digest":"sha256:723ada16357451695c3b30e8a15f710ba580db1af3c648c7fa5f653705f069de","candidate_id":"sha256:187399d05468c13a977911366e1e295bbbfe327c3152b50fe68b6058bc658d53","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (-1)\n    return x + (-9)\n","verification_digest":"sha256:0cda614451391b7a0076df746c497d70e0b1fd8ebe68e2ad6376cb8dbb2eecaf"},"sample_id":"sha256:d6bdbec225a57e2da825827717d8d355546b42faf8f8848d17a32d2dbbdf9070","source_transition_ids":["sha256:26bb959fb56987dbaa1abbd14c3f4693e9093e032cc678893967b66df7820849","sha256:fc11a3afcc82518640917b77fb951f58651e334da69620ffdb4e5233c3de1278"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000120","trajectory_id":"vlr-formal-v2-0000120-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2a69288ca4c52ca3f4b8fd82997eab5a8df423fcaaf9e6dc0df4ba0dd75163ba","candidate_id":"sha256:7a42e74c7523c06f16b597b439ea537507548b0d9b2765a8f48d8a3954264e77","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (9)\n","verification_digest":"sha256:7b93c8bda6d63cb884a89c92ecbce92f340e8943f8b5fe431ccb228a3a8a2157"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:87a6c6b57ffe735d3a06c8f0700788c5a1781f422e2ed6344bc5283af1279b3e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 36}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:772012708b05ca8e376311f17166d2d1652831e1da0ef1a85ba178537a64b989","rejected":{"artifact_digest":"sha256:d95f329269733ebc997783f31f25adfd11c9beaea10d84a6a44c443abb77474b","candidate_id":"sha256:9e9765a9e505b0efe996eedbbf735f5fccd6ae4e878a7ca7972ffe48155606aa","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (-9)\n","verification_digest":"sha256:6ab78b4af414471c46e79b5c7be60aeb8d255464eda68ce2a9fe0d778ea3e57a"},"sample_id":"sha256:b813a5e2b68988fa1ead10162968d8d0b2fbe131e7e86a678d56b8aff5bed4d0","source_transition_ids":["sha256:46d8acaf339628a69daa7e68883b4623aef18106635cbfe8f0746ede69e49f80","sha256:ff0f7ef7753b119ed2b9a9dc21e85b8c555e620f85fd2ae2cc579d053a8673d8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000120","trajectory_id":"vlr-formal-v2-0000120-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a49783d0cf177ff5f27930488568e7263bff719e2541658b9d415537318b418f","candidate_id":"sha256:81f63b08ddae8232cd08d63c10fa0113657bc13aa162ff793c100d04ba9926a3","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (6)\n    return x + (9)\n","verification_digest":"sha256:274bd04c2e9fbd361a75779d20d140bb06761cd6314d4b6b14678d58affc7743"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:7a42e74c7523c06f16b597b439ea537507548b0d9b2765a8f48d8a3954264e77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 36}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a0c9dc6d13f2a4e2202a884688caa427a35e1b9d56dc96bc2af4d118b4d10179","rejected":{"artifact_digest":"sha256:2c14cab1858f335e5f767d92be9b705ed2194cd38fd8c9d936cc915d99a3e3a4","candidate_id":"sha256:0784f86731963d51a996133c9b6952547dd4ccb524dec4f5345a0f76190e39e2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (3)\n    return x + (9)\n","verification_digest":"sha256:45cd0676d823a94940c8010e9ed19cafcde149b46ce41409958dec20e8fe9004"},"sample_id":"sha256:2b07dacabf66ea1560048989b7c8890497511a250d9963e676dcfa5f77ab9bec","source_transition_ids":["sha256:d59e6b7d612e6fe89b3949a265898757ddd9cc5e085e7696381751d3c422fa0c","sha256:70f6cba349b29c45e1a1091dfb345a2bf3fcec06dd73a3b5f2132d348853c86e"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000120","trajectory_id":"vlr-formal-v2-0000120-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b80273eb745236f9bd869d9a8f590e27b90ac9256f35b93c26bd86bddd28d834","candidate_id":"sha256:f7862e4cab1ca9eea0de08b81ca7a875111ae7f90df9bc722479011fa7c6ec96","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 8, 1, -9, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2b8361c7f1d0041e5ebbbb61d233b1289f31c9cc579b78f0c16228fdfd886eb7"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:9a9a52874aa00958163cdc654fbc65d555c1b5c40573d865cc55a08e0ba2ac7e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 8, 7, -9, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1e5cf0c116c2745a3a83c2098bb1ebe70574464976a8dea73574205e4c2dcb8f","rejected":{"artifact_digest":"sha256:9712d248b80506dcf21cd164430568be797a53d245fe1bfa20831c98d6e4505d","candidate_id":"sha256:7099618347c3d1f34cb979a9470c6cc8643029dffc5734e17f35dd1a4347d2d0","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-7, 8, 1, -9, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7f1fe5776d97b740bd3ef8b619749f4f7f0acdde18635a9badd6379f70586a76"},"sample_id":"sha256:7944d9aea4c06d7aadbfc522f033e2abea70a229c53966eb4521f48eedfabf60","source_transition_ids":["sha256:1a98dd4c5ebd1eb970ce31cdae9dc56492d9ab1c6fe33681602953a9f36c8c3b","sha256:f72fed7527ec366951df8885c5c18de62b9f85cd243bd729e8f8b493ffb61d9e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000121","trajectory_id":"vlr-formal-v2-0000121-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f81d530c5b14cbb7d9d3b04c60f1ded7355896897dc216370020670ef1ec1df7","candidate_id":"sha256:7d7726399d7ee3ab98ac803cd363799b29041f0fadfdfda464997fba4fb99141","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 7, 1, -9, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:eda411e54f50932b554fe468eb835d886574111bb2f8b6bf2755fc8c9af59c18"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:f7862e4cab1ca9eea0de08b81ca7a875111ae7f90df9bc722479011fa7c6ec96","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 8, 1, -9, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e21618a1fb80e37d17d6fcc888d27bc6bf9f40fd125127912a55a3dec9053300","rejected":{"artifact_digest":"sha256:7da91b415e1b7a5a229f2165d70d628ee363035c0d2ec0b49922de665460f232","candidate_id":"sha256:330bc3a53b0af2f943c5cb1e56bdc5848137cf5c22c78eca8dea42086daddfd1","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-1, 7, 2, 0, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:bc627371105c2c4e26a7861948db80e377bb4897a65e58ad182053fc155599ee"},"sample_id":"sha256:34166080f72e598e2396c54ec208aee843438dcfdbf186dd6b1652e66f4372cf","source_transition_ids":["sha256:90624bfdc22ca9bf9954fb55d18d649d11ace7dcf32120934adc4b29f1ee3941","sha256:0d73ee2ca02d4a57bb9ea63a05e5405c2258af4a35d5aaa49b66dee08ed26f58"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000121","trajectory_id":"vlr-formal-v2-0000121-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:15a03ebbb9e58f4c08f76bc420e899793cc1a1829f9de85cc559f643582ec3c6","candidate_id":"sha256:6d26c599e98f4b6e5c7aa27399477a716b784ec9ef24227d7f0ff07819b53ade","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 7, 1, 0, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:1c7260de4691cb4000350e320d7eebb3b821991316285a31211a84e1c0baee49"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:7d7726399d7ee3ab98ac803cd363799b29041f0fadfdfda464997fba4fb99141","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 7, 1, -9, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a32f4a324b42d389c0a165b893a85db905fbb577416ae44d38c69f19447d7af2","rejected":{"artifact_digest":"sha256:b36c27fc3fd6d981e1732ce388e57958aaa150c910a021c0e65fb900fa271113","candidate_id":"sha256:6387055feac98e9db8edbbaae1c86b43387dcf5badef5227f314d082dd78b912","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-1, -6, 1, -9, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8cba7a9210624363f87bb3aebab89588d84d68d5a75fb109f238a42a823206fe"},"sample_id":"sha256:91969c66e33d2604118d510028f3cbabc0dcbb1e8b2f24fcd49c8a462553fb11","source_transition_ids":["sha256:6722733fe3c0eabfc96361809a20262a9d92d42b3065ae2a1414054e78bfc84e","sha256:5d4a8cd19fef907abac0d548ca198826374083c2c7cac46e47dd46f1a1323743"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000121","trajectory_id":"vlr-formal-v2-0000121-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:674809828ff292eaf7a30910b18e7813a8365679e158db48050b12291c673b7b","candidate_id":"sha256:b84bb0be1b0a69b2da2478bb0f26fa78276218ca5d8dda6fef40a206d27e839d","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 4, 4, -4, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:79bdd96ce2a703367c231cdf4ebdc00caae96ffdb46ee6f1aca254972c89f8ae"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:4de9be86a1828ca6905c4c9778812de5089ee99217240e7cdf66af66e0d8c750","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:bf503096e950158e01869064d5ae111b63a34760115e84525a9b1892dbb886d4","candidate_id":"sha256:7cabbc79b36fe841029582219c3e6d46dae5db6e12035e86da971b44508efd79","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 4, 4, -4, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:078bf2348742dfb1d34ae27c7d3fb134f87d014c49f24ac2fda39a2450a4f15d"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:b84bb0be1b0a69b2da2478bb0f26fa78276218ca5d8dda6fef40a206d27e839d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 4, -4, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:42aa6a0bb7389296dbd115e70d5140a7c8d828ee83a63a7dbe855d9c2bae9ab1","rejected":{"artifact_digest":"sha256:d6ed67961c46efdcdff13e5d5ff82d3755a2c8e4e854a55e4ebefbc342f84770","candidate_id":"sha256:a9c1d00cbc28455e75b9c4b4029da1ddac061cfec26c3f5dba3ecfd213784ca8","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (6, 4, -2, -4, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:7a8af602b11f39f736a937a63a3a5428ada8cb8d45122d24d0668e59650cc155"},"sample_id":"sha256:99adfdfa5bbec74c87e7f73b67e0de5b5c3fd1003c804247794d996efc4fec88","source_transition_ids":["sha256:97e550c17a97797fecf537c171fc1dcd11eeb94ac6a7e4b0b44f0d75db91f542","sha256:0de12a322600c0741a35f6fc9eb51ac5bbb8c11d7a1869035df51ab2b9087a8c"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000122","trajectory_id":"vlr-formal-v2-0000122-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:37aef51da8d6bdcb2e5807086f5482774d3fc2d64a35ddf8c31d969ced1b3125","candidate_id":"sha256:f0b9fdd2c1c508aea073d282bac549f0eff0b526b037ef73016d1f96b8b75ee8","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 4, -2, -4, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:acd3352b2a7cab1f03dd2f5d8a8ad551ed1733ad8df144383cd022827919382b"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:7cabbc79b36fe841029582219c3e6d46dae5db6e12035e86da971b44508efd79","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 4, -4, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b62edd31afa18724e1581e60c7d60e3a85dea4a001045a89790abd4e0430418d","rejected":{"artifact_digest":"sha256:b8f9609ad1be9fc6510625db5927f0a176547123eb9cd294002c0e22ed0e67d4","candidate_id":"sha256:63a21f5f125b006e109394b0fc58187c1db0d694645cff2d7bafc834d1438903","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-6, 1, -2, -4, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:934ff88c2ebb2fec1f160d58d4383a92e301554bf483079e81ef2ed2ce2e3b42"},"sample_id":"sha256:61107abcc04f3d4623fceb29075032a0a3331bcaf5f4a50e1c0b2455b2bb1683","source_transition_ids":["sha256:560f50d3fe0771ea86e20126c03e59b39809173f8476252a6501dbc7e530984e","sha256:32fc681f40d1363c6f21d56cf59edadaf58a5b28763129b014fe3916e497cd87"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000122","trajectory_id":"vlr-formal-v2-0000122-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2a956d455beb92dcaa59da20d8310002ca6fc138c1cdcfc829df6fc1514ceb77","candidate_id":"sha256:9e3587d16cb686ef1a6308545f2d8fce4ac01fe9b44ebbfe50fec85f72875e45","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 1, -2, -4, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a9ac79ca7e8890b629afe4b468b4bee744a8a94df8eb64915fc5dfed11a2891c"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:f0b9fdd2c1c508aea073d282bac549f0eff0b526b037ef73016d1f96b8b75ee8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, -2, -4, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2f23bb02a6be7d56c9de988b2243608518a6bd847c1a099c36bc8d9d98ea232a","rejected":{"artifact_digest":"sha256:0bea87c309c6757f59097d4b4cb0ee1f9f8330b5744d262cb98a49dadc789d29","candidate_id":"sha256:eb607c3fa4506636f465f172f346252dc2df8b85d79d4432a130fbe473e5e49f","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (7, 1, -2, -4, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b0eb82f3824ee3821f5cc467cc89060292b0d523ac87aa70814f5afe8343bbf3"},"sample_id":"sha256:dc07746950b4147818bb9d35303d720de5309ecfb31f9cdad87e1d48caf4330b","source_transition_ids":["sha256:46be0db84086668ad6b8df3e4cda1237dcff6b6b02fd22b1b78b58bba3f5c17f","sha256:10711cadf2c009cb3fa2553a86b33bdf84af764ebb8ea980feda0bca89b6f249"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000122","trajectory_id":"vlr-formal-v2-0000122-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:276653626c3a9f923017df5e47c70ec3c9142c4732b28b2823a1d03f41fd2488","candidate_id":"sha256:d850c9ab0d54df7e604745d382f7eb6ffd814b2692a014e6a67390accd5e2e2f","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (8, 12, 9, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f517579eeb8bbfe783b38b989bb1b608b8fcd5fd7639ff35785f3210f766e5f"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:f6ce1f7b4f5d8da8fef0c8d998caea4c9f0935d188c1c61bd5b1b798be292e07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 13, 9, 14)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c562f7bac3146c330b0fe04669249f3adf2cfab2b3724e50c0de712d48afab3b","rejected":{"artifact_digest":"sha256:39cf62df244d403b9dad3816b0c2e0543ae24092743cc3dab8c5a609b605a3c5","candidate_id":"sha256:7ed2cdc59010aceeb77684ce589d2bcdd0cfb8dab422589eb73a74e89f3ed234","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (8, 12, 1, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:94e0ac11daa0b8a0d86919b05470d735048baf154ef026202e6a1e65eb66321b"},"sample_id":"sha256:1f54d95f83ca74a9f6929e18871113854f7850e9ef18b0c30e541319c752f4d5","source_transition_ids":["sha256:65a995449b9a2ffc01a0ea24a3f6fe1dba7c20498b0b20fe51e77b77c5daf74d","sha256:28737fb0518b8ed1279b44a71f03cb50b697b9f4e6a1f576c88d626316632db7"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000124","trajectory_id":"vlr-formal-v2-0000124-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:74ed7a98612fce6abbe3d3e6f6ddbbc5ed0bf895863bd63194f003eb857b79f8","candidate_id":"sha256:26a7025c48d80e4b9ed59adc21180e54ac02283a009388e913207c29e0cdcd91","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (8, 12, 9, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:116793032698cb02f095176b45f17a903ece799aa6fbaaf02213f2f95f4667db"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:d850c9ab0d54df7e604745d382f7eb6ffd814b2692a014e6a67390accd5e2e2f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 12, 9, 14)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3cddd77fcbd85b0a11e8e175174641456bb543d63ae988c61b6e5a8977d4ce29","rejected":{"artifact_digest":"sha256:bb8218877a76e3b937e27eb335e035e7062f2d34e1448631fbd4fe1c3dbdf9a0","candidate_id":"sha256:e9495e2ea702788a9ec5c7e1eaac3c52db82318634fc82f86fa35202f26aa076","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 12, 9, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:57282645d22898dd361b0e3f6d39bf9feb4a318d455117c183f768f267e4eb2f"},"sample_id":"sha256:8195362fba91271ee0e492dec17dafe1cf7c174e5521d04bc45d43ce3f7d6ad5","source_transition_ids":["sha256:27a732206400879fbffd2c78cc4b036d201b6a139c1b35f28a8028ea6c8ce2c7","sha256:049794b08f9b88d030cab222b78c13500ba66ede7520f2352c5f4e821c49af22"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000124","trajectory_id":"vlr-formal-v2-0000124-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:de2640f530cc8a55665a3e15f94b36494805f6817318badb77e98303484534ad","candidate_id":"sha256:55cbff40a3396b902e0a8e7d19f7bf8406b2c8d2eb518fb8430e58522f256b47","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 1, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:0822ad4d5df6a29d4ff70d9841db2779805e1ebdddaebf345f0c218ebcb7dc22"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:f713c79463a16f2336b517581db02f292f48937abf2c40a24a6ceb8f10735e2b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 1, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e1a93d7e2be5365c8265a6e2ff1bbc585bfc8439203fba9e80be0647fa5f65d2","rejected":{"artifact_digest":"sha256:55096eb9e6463e6367dcea520ec56ab5f9d7657f65b81b415270fa61509a475b","candidate_id":"sha256:25b61689d5c20da47890b1ad55a54e216ff337a76938c0929778056c6864e189","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (2, 1, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:962f7af351c2eeaa0a92769007268efe196aa823ff82feaeb55d11052889a32e"},"sample_id":"sha256:9dc878b233fae4d5d3f1c7be3b9cf32de85c65d93a50e96e10435371b8e18461","source_transition_ids":["sha256:7d82b7e1a2440335b6a99daecf9b5b0c4d9bc73cbd69b5b763242aea403e36e7","sha256:aef10075dc8323b0d10221d41ef8b73ac3121799a8030171549cfe487331dd1c"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000125","trajectory_id":"vlr-formal-v2-0000125-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ad7458c63c489cf77b0a5e3507fc29507b4db0bd8c14f3903d94c6a726a58683","candidate_id":"sha256:dca7f580972d51da415fa45326dc08b61daa0bbdd7f2977cb6b5cce9bd74845e","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 1, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3dedd64d385c821ad3e788377f0d1341d2bfa2acd860c42d69c632d0dec4f556"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:55cbff40a3396b902e0a8e7d19f7bf8406b2c8d2eb518fb8430e58522f256b47","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 1, 3, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4c8c2256875b7c1b315bea728b1f1c60cbeeeb1abf8e0615fb2ae8b98bd1d31e","rejected":{"artifact_digest":"sha256:23db1517309dea8ec68ae75ed73833c9a0e449d006e3d0ffebd73ab8818345fd","candidate_id":"sha256:2483ae6d1be1081fecdd0d87fb22e37517c19c9cdce5a2ad2ba003268e2213e3","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 2, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:58f4ae24928b010fcc27364535b03dc133e6586043a265f435a27edb779d5f57"},"sample_id":"sha256:63d4c6a326d480a4629158e8d76372569fca9cd92e567e8fb2d95958b5cb3174","source_transition_ids":["sha256:e10f563a090d9e32ac9d2fad2004639109655f0213ccdd2b7c0ed3ace0ac1fe7","sha256:b1c6a26cc23fc1c7b15824fa93334b8b974bc5fd115f58399da800d5d873c7ca"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000125","trajectory_id":"vlr-formal-v2-0000125-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:21c09a702cb9559174dd0d80ee07d78afa7a881de61528c2b6c100c3bd424aae","candidate_id":"sha256:8b6147d65d9285c1327f8c12675559496b236656e68758fbec2be9b1d13538da","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:fb318273d12305a8d1a87cfe0bfd28774c277f1b5f1027f25e29c6f574aadce4"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:dca7f580972d51da415fa45326dc08b61daa0bbdd7f2977cb6b5cce9bd74845e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 1, 3, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ed8c2c416ff52251dc47af978909c8bd3864ddfbedccbe99ee55747ca91529f4","rejected":{"artifact_digest":"sha256:81006dd39234b13d413cd30fe70e13cc9626d36137ce4c10dfb4e4e0826580ba","candidate_id":"sha256:5bf21acc7e557c334dd5c04476397230ffe4a132d71d6ae710950070d316fec6","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 1, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:580db0976c0c71870552596ca39693cb4da34084c6e0e6f00531f4388befff8f"},"sample_id":"sha256:1b2ad12809556c9bf2d8c6beda2b1dedd73c718c56cc55a4cb5aa08615f1b771","source_transition_ids":["sha256:f02e0016b7aa5002ba70ea6028520d0ba56b1e52a25ca69b30d1848d3c839cc5","sha256:c6901cd8aa4293de4ff26accd42cb6b153d2e368c714887bd0704ab12b7e47f4"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000125","trajectory_id":"vlr-formal-v2-0000125-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8b2571dcefc6deb12bb5072e4b2fd61b7866d455f09669f437022f02474a3210","candidate_id":"sha256:6a4dbda0811c6fc5a199630e491e40e3510287387ab7871d49544e11f0160ec2","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4abc77617b21d7fbea4d0b70e7a77711acef4a0d473c1870ae4f930f21efda42"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:8b6147d65d9285c1327f8c12675559496b236656e68758fbec2be9b1d13538da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1f9df7afd5b227ed45082a09a472036d9d80dfb84501542a210ec963bbe81ef4","rejected":{"artifact_digest":"sha256:1f88cb6a0577a0424c4feaf4086fb975350a0e45303a53d10fe9565146a23ac3","candidate_id":"sha256:6f81120df9892fb7c539c9bb08cb24661689fc2310184a2d7d8e3ced697ffce2","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (3, 2, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3ebadd9ffc39403f652ac4ac43b6cc0153558d3d3525d2e87a4569fa452b091e"},"sample_id":"sha256:7d231cf1b073148e52f543310b77db76241baeeb282ac12136662d553c814940","source_transition_ids":["sha256:1accdbabbb956e35f0c2395b9fc3cd7c1e9890ba44407c3215adb82144c4132d","sha256:9d9728b2c75453fb51c1fa2e9c1c860a8b35091ef1cb225e17c48ab0147108bc"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000125","trajectory_id":"vlr-formal-v2-0000125-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0e8f9b98e00402a3232c917ed150fb58be41a26c07beae13fe1f7debc2387981","candidate_id":"sha256:26e13c7bd2678ea51973bfa9333b4ebb6136c68b94a6bc7fe380cc1d4cc95dfa","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 4, -4, -6, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:622c7f251099661e179290d63c0156bde5d6cf10520380a51d573b8179e5e8a6"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:ca85bb368e236cf74965b6e249d02b8c3cb11440b9074edf8bd4f7fafc1b1b54","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 0, -4, -6, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:74e25ea3afd9467a7ebe2cd962bc4088d4a2a34372a2687132f7e56b41225680","rejected":{"artifact_digest":"sha256:e745507311aa6cfcd56e9572bb3019c93ebf335fb5b3af4654bdc326a71cc2bb","candidate_id":"sha256:070f4ac7ee6855b058cf021ec2e805d97e13fd8d62a2f384a8bcc1e73e43ba64","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-5, 0, 8, -6, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7b41ee31a492e1d319ffcdf4ae8489b1005f06c69b9e3668f9ebafaede838715"},"sample_id":"sha256:22c186dcb357ee122ce1d8eb9b7816d9c281c765e0bfbbe295c91e246827040f","source_transition_ids":["sha256:fac6b117811d95588cb1c1c2ddfdcb54f101880436823d528d1c34d554ce14fe","sha256:22090d23eee2abf55c18ca0f4f87f20c879f1c96ae0136d693877cd9f5254121"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000127","trajectory_id":"vlr-formal-v2-0000127-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b3376254893b6064407e445390ea9cef329ad03f3f2dc212490b4c5e2cf6079b","candidate_id":"sha256:983a291bb3301e5e09e05240e5db08993031412114bd4c1eed6f5e7b52d9bd66","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 4, -4, 1, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f4e4a2c6bf7f373d63e99a4058d6df80d200a572a9e821e920b34609d0da1ceb"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:26e13c7bd2678ea51973bfa9333b4ebb6136c68b94a6bc7fe380cc1d4cc95dfa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 4, -4, -6, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:23f7911fa2d448bdaa356017bb2739c949be91387e139be5162acaa26270bae7","rejected":{"artifact_digest":"sha256:e809aacaaa027e87bcad30231e4926a58406c4a4ec2381c889bc4b935f4f05e2","candidate_id":"sha256:5650545954efc4f1d194f64449a853e1ddd74a97eee11ff080b3d2c54dc7138e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-5, 4, -4, 5, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2e5316681db093c585b7ccbe54c36a6c4d10549504d7c7112c8bb0733fc4ab93"},"sample_id":"sha256:05b2a58e3433717a72a77bda6763ff7befdbe8b2ba1bc315a21a884f0c5c96df","source_transition_ids":["sha256:0aa118026fca141eec214e9e99c47f15c780776f27270a31e61535b4504cf9bb","sha256:3d1245adae04182c7e3c3ac5d0608d586bd53e1c8568215bf90def66986b78b6"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000127","trajectory_id":"vlr-formal-v2-0000127-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8f561c2d278c5d46bce5e1c8a2a3521e4c1bb2544e8b8e7c535a7e23da93e5d7","candidate_id":"sha256:3f15908f04af929abb06f471618eef456b1245bcf44166a9d7642e05afe2de5c","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-1, 4, 8, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:40e73c985f310263e5a4c1ff9c926bcb7d1af32252928500e5392bf011626d2b"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:67c8838c330d1c71b65fa94bea5b2ed62f3af98c519922b92b1ef111fb55c105","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 4, 8, 9)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:af2890320e2abfe656fe300ae4dbcc331c01ef27dbd9d61cf14b22a856f34308","rejected":{"artifact_digest":"sha256:f4048062236f0f11ce26524058164c11ca21e75869066738e139167c363aee6c","candidate_id":"sha256:60a8a6e65233abfab17c23b75c19d280fd9b5bee71cc21679c397d8b78980a42","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-1, 4, 8, -6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:ea20b7e1888808d0646ab76d963128940be087726ba18dde2fd94ba37072e353"},"sample_id":"sha256:efd06dbf81173730303e743307e981858049c32cb7d145ff7d296bc2636e6e07","source_transition_ids":["sha256:aa769c43cb1a33277e268a8dbdcedfdbb006128e51126dea70809d69aecfcd7b","sha256:de5bbb07ba7bd1510f8bc1be3ffa540310beff4d48e675463c5047911db45f29"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000130","trajectory_id":"vlr-formal-v2-0000130-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bd3f0a8e80308750a4f6d525df9c21bcb81a0d012e157b2adb9e18cfbc7958e5","candidate_id":"sha256:e0ce47021803a29ae11857e929f81b80af2009bcd809b004ee95aa4a7f64d7ae","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-1, 7, 8, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:75e732cb25baccc8c0f080bf263a9036440e09981439385bed19abb98bee5abe"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:3f15908f04af929abb06f471618eef456b1245bcf44166a9d7642e05afe2de5c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 4, 8, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a659d50c283e77a5834cc4ba6bae2e24a1c873cd5910e3cc28b749edd8568485","rejected":{"artifact_digest":"sha256:63eeeac49333c57bc83aafb7c778cb08da6baf78e644e9ddeefd34e22188bcf4","candidate_id":"sha256:973bf8867cba7228c97af983ec7c5d17dc25e0e7af19bb03dc0d9298024b26e6","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-3, 7, 8, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:33a20833ab0f2132f13c8f5672a85304e5b86ad88214f8b2ed253a49f8115f02"},"sample_id":"sha256:a38dcb205848d208cc8f721af829da4245bfd1ad03eb6b6d251bac7e90b2761a","source_transition_ids":["sha256:22e068d58f271f0ef930f1d880703d9844d8176e98ac8ca9eb0f6b6014db0626","sha256:029dbf025bd351c9f72a031716200bfae66a2367543f096402b9ecf17fbb45c1"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000130","trajectory_id":"vlr-formal-v2-0000130-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3507c5c00f5cab38f2e8845e6ec521acca559a9a3813229fd7a60393112fffc6","candidate_id":"sha256:a1535d7835fa023807c4187ab0543e765ed27ddce008d9ce8602841050d72756","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-1, 7, -6, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:75332ff51be4e21b27b5d3d48c978c476a7b064cf036d5bd093b1415a02e0fdf"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:e0ce47021803a29ae11857e929f81b80af2009bcd809b004ee95aa4a7f64d7ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 7, 8, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6797663e76555506c5b5c2a5991d0303f82ddfc2a31691684f83f854d2498748","rejected":{"artifact_digest":"sha256:2e59885d94b5ff7e9991499ee9d34dd8d4d8d35049f480379472c680e5845bb5","candidate_id":"sha256:d6d1e82ba08cab4ce784e4b2159bb31ba0bb9aa012dc58eecb20e97a70f5ed13","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-1, -8, -6, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:a310b6c02f743ae20a2b84d6adfa9673246062f6b1929495b157c6ee4e5334be"},"sample_id":"sha256:6eb95c1468f06c78fd129ba1701987da34c753fd76e41ba5b2dfc537e7df724d","source_transition_ids":["sha256:95160a43a84e8750474b52b8cbc86ac7f30d91e2cd21f1c20ec8dbb1a1dcbb36","sha256:3b04080707aab9d94b859ba20643fb05f13b25a71025dbfc8444cc462ce35a44"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000130","trajectory_id":"vlr-formal-v2-0000130-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:84dd34dfec00ceb734a63ed497af20a41aa83e682d55045c4d6cd897a9427766","candidate_id":"sha256:abd83c2ade90d9c3852082bd48010ac3c30e240fd9e6b17e48d9cbaaf4f1328a","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-2, -4, 1, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9889834e74d1d1965e96700e90550b283b3644dffa2d4945440c14727fd0b1c2"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:4e2ad948aa7f3effad5d16463617920d7a8cf688a0773b9200bdd5fe52f5a71a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 1, 5, -4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e3995cb6b5550c1da8fa733a54d3f61cdc0faf392abb6be124c990b28f8d7cb0","rejected":{"artifact_digest":"sha256:1012404e9bca97056a5d15bf639129bf5ea3aec65bdb513980b53bd17c52741b","candidate_id":"sha256:1146b3ad0acfcac73af66ed94026f2ed3fc03e0b3da57d7c9fc851e257116024","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-5, -4, 1, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:98db7cb5cafe2783d27dcd881bf6ca37661a1268ffaef0104c5daeb793ea95c6"},"sample_id":"sha256:f1f0e82781de8db5bf988fa647523fb80a03b241599e5eb1d0524100c05a0447","source_transition_ids":["sha256:fc68b35378c04d600990ebad25e6014f5d83a2ac6b8948e18b664318bb75280c","sha256:78504bb3eed5f1edea420f0a17f39ba978819f5e95dcb336984b91b1d156c1ac"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000132","trajectory_id":"vlr-formal-v2-0000132-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:717f94305fd1610df66b8466dd3c681ebd1238cdf6fd855c76fbcd45ce53c15c","candidate_id":"sha256:24ce606e2a603440845ad18bf7dd97e0b8d7c9be192b47fb496e08e963991184","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 3, 2, 4, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:493b5128b4325f89f9004a978d945f557927bd63fc8cd3ea29498c26bcc8ff9d"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:1fac4ab2c6b3fb5987348f4b55c8a3d4b9df86798265c3323bf72d6ef7b23de1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 3, 2, 9, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f80d3ba87e0fff65700d0743b594e9fb5bddb9b3fd30dfff34f47c8734cde886","rejected":{"artifact_digest":"sha256:16da53754197415ec957626d6b2aa985a4313c111811c045943c07c2a0c2b766","candidate_id":"sha256:493d00de6c3093431ca8a6e6809822abd8414b2218f39430510a01c32b7e90ac","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (2, 3, 3, 4, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:74fd7ad5cf56bd66f504f368f34f1d7c5f270bd842004e2339315b0e6033b0de"},"sample_id":"sha256:925da73c37170c8c2af3a5e655e1990081e5a1a77e4ca9e20b85c070fe618c9a","source_transition_ids":["sha256:6153ed27447a5702fbacc560e0190c46d23e86b07141d02e0af377f1867ef6ea","sha256:9dc47f4cbc2b0ea9144d63644f10fde167a99f6ac2bd04d3a585d6b5d3ad1dae"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000133","trajectory_id":"vlr-formal-v2-0000133-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0b497efac3c52c26a2c7e4806834f362a9d9804423b7fde812ba468fb1fda9b8","candidate_id":"sha256:e45bdb73f92db735f004f973ef39f4692025341e46dc139b8484deb3ded08eb4","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 3, 2, 4, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:db5115188dae5a5657e87da7667dd291c96842b4cc60f3af8dca16c8fd5e75db"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:24ce606e2a603440845ad18bf7dd97e0b8d7c9be192b47fb496e08e963991184","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 3, 2, 4, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:db344ef17f01a4c3d4b50aed34a4b06279ad11f71586e1b9a68664484fd5e28c","rejected":{"artifact_digest":"sha256:cd5abbd76621b38aa53b41251b5d0d5a8461d7f5caff1d80b763dbfc8ac03bb9","candidate_id":"sha256:1fac4ab2c6b3fb5987348f4b55c8a3d4b9df86798265c3323bf72d6ef7b23de1","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (2, 3, 2, 9, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:72b508c0b304a3afa03202db237d505da34ac621b6554fbcbe0694b8aaf2f84b"},"sample_id":"sha256:32fc8d4ef8d1184d1dd6cb4160cb8823d66aa7036247bb70b4e64b75d5ab74fc","source_transition_ids":["sha256:9ec4a740075c739a61a0f07ab3f930f67040676c79d4f430a8ec946f75494e10","sha256:5502f82c509b7ffe298be0415000d8bde4c1b980c0818dafcce65284c85096e8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000133","trajectory_id":"vlr-formal-v2-0000133-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:33fa68d71ef143b8839aebf1f8bda8ed97d3ca756f041150ec7a351ac3a6fc4d","candidate_id":"sha256:00029b0e26c66992100f25a98a4c165e31d96f5fb86a536240c9c77e24b0bc47","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (13, 2, 4, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5ed83d05b4ec23ab2957d9a9e57b3157fdd26c506ee368d526e3c8d3d61a3c90"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b389a7f1eca4c18c77163c25381e43d4093dac64358b8530fad5a2d0d1560b0c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 2, 4, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:84805bd95ec4abf66c42a0fba5f26b58f03cecb34462e064b601ef39a5e473af","rejected":{"artifact_digest":"sha256:e051032907e87c74749bd5a42d85cf5a7136eac1c2e46db835206184cea6f78a","candidate_id":"sha256:b5d035e8d0c4a58f8f77b95727c8ce338d7c157c995944e0c8b3cf2c16157aeb","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (15, 2, 4, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:10f71adfa1b14a8c3c3d6c3ed0eb9af9f5b707ccddd7d7f18d58ce598fa20b9a"},"sample_id":"sha256:86a8a7b53f6e77206230b776e08e2b2ce584d5233a7f1fb79edb1690f619409f","source_transition_ids":["sha256:69054990e4a74502ac0e6af5b722a347c861721c4ed3cfa185cb33df0c1e50a9","sha256:0354c40d9bf37ba7958a20a341953e09c1bd16170d065cf1c52b29090e5d3323"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000134","trajectory_id":"vlr-formal-v2-0000134-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f0a7563a784b88dcf22957ed5c32ce36e90671b5317e3377fd1305a3f08b55d9","candidate_id":"sha256:fccf19a2bb7ea8c515b2934b319cb599011a4867b045da41a7f37c1d000dd900","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (13, 2, 7, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a00b37bc05766d5b7a207dc328b24700ad432412f45d918809ec2f9361892e6a"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:00029b0e26c66992100f25a98a4c165e31d96f5fb86a536240c9c77e24b0bc47","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 2, 4, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:24f82bfb30a96b2ff4f73a473480aae83be27c3d7c849cfcae8352372c8dfc0b","rejected":{"artifact_digest":"sha256:81c8f0722059bb1cb8a1a629a1a546fcc2da2c5ac347359b9d32bc789352844c","candidate_id":"sha256:656c9001974e49ef7f967e45805e324a05661c19d2fe89cc60dc4f00ea619907","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (13, 9, 7, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:85c37af53ecb852fffc82a92ce44f3bc8b68c5b0657f20796bf5ea0d177063e1"},"sample_id":"sha256:49158671367a74bd9baf6f880789ae8da35e376694a9a4f91cdd4f2ea3d49c63","source_transition_ids":["sha256:963395eddf498bc7bb6444434df77924f4081286d0e80d99e3d412a194fd5605","sha256:ab76018bcc9750627f09b1a28465bf7d78a6a6ac3d45ac11c46b8e685407f2a4"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000134","trajectory_id":"vlr-formal-v2-0000134-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:be3d499553130ea658b909737a5a15866f6fcd6036a221094cb9229f62425e1a","candidate_id":"sha256:500b36fd037e031a9d05032a362ddcdbaad9df905e0af564179479a95ca89b17","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 6, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:98934e24f17a9c3ce292e37d6f34dde16d4d29cf593c5abb1b7cfc7f7c816866"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:f7c60d5fa8c55c516d282decab1510d6a6510342779a2f0232cc12c05cdb0826","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 1, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6c3b4a866dbc346f5d776054b75af5b9acffb385189bce3c0f5f99b29fdcac85","rejected":{"artifact_digest":"sha256:903f836cbb8001696ac71584b5581b722236bf70a8059df8aae9ecc69732b2aa","candidate_id":"sha256:4b11d1d762d7ccf6f1cc40d6dc92d113a73a61f85faf27ca30042b44e0cafb62","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 1, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a0bf9c28479b200f7c0f89a6252237ac48c1e2c99190ab194181281da5a96179"},"sample_id":"sha256:48fc69fdc23037b0c31e3a81587a9d7cf321bec050342b24caeb2cdcb7f90d5c","source_transition_ids":["sha256:fa85476c5059d7892a27c73a2bed906045b695a0cc4d3476f99c4d941953c1e7","sha256:31ee56d74ab2a0c987a2377de23fb2987310d6d4e91533dd01378f5f034a9eee"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000135","trajectory_id":"vlr-formal-v2-0000135-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fdac94841a6e5b2bb0a49f1ccdc25b31493fd807940a4a07a7960406f5f0926a","candidate_id":"sha256:d756c7b8e7f968b148aaf756f3a70e81c5900db28f395ab34022a83e476282ee","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:770db802b1d295d860482a52f2a09d84cb947ab0ca2158c0746605c80adf21bf"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:500b36fd037e031a9d05032a362ddcdbaad9df905e0af564179479a95ca89b17","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2c90b9d4c8f9b835c6757e2144c85a525127717c8f74042a69783ded500c8725","rejected":{"artifact_digest":"sha256:97cd0998a3fb96cad58a6283e0bb6fc6489d47a6a177e60abc2739b16486e57d","candidate_id":"sha256:d840054b4e75855d6e2cf109bb8be86b397b73f94e9fdd0fb54580f6b2ebcc88","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 6, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b39103e460fa2e53b87a0d228cc3d7787eba65282f009ddf7990b89895d60648"},"sample_id":"sha256:761bf4eda4b33d1f3e5b0478c0bf809be0136315504d8ba38ea4ff209d7e3ace","source_transition_ids":["sha256:df6ba4f97c5f045e7260918d9d5ffe789b3112cb0d34bba3f79f526b9c535be7","sha256:33ac15d6c07174cdc3a396058c80163bbdceb605f24a7d93b9c0d27d21825493"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000135","trajectory_id":"vlr-formal-v2-0000135-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:344419084ddd14f7f4268bab67df29c7d98c74b64c29df08b249a45f652fe25f","candidate_id":"sha256:48b5500f8b9d11f6cb9f4a3ff19d7fc35ac46543c9fecebf5945f346293eb0ed","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 6, 5, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2fc0fc4cdc52d885b37910746489534e9fac8d417e6bedc203d9902908380619"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:d756c7b8e7f968b148aaf756f3a70e81c5900db28f395ab34022a83e476282ee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c863017fa9bbcdfbc84272f7a86f03357a8e8800147c5255a142f31783dc2c4b","rejected":{"artifact_digest":"sha256:8c98e9e03455c6d8256c41bf60f7c91d7051703db899bb317f778636fb052078","candidate_id":"sha256:692c1e7a10c5ffac4b493dbc1e75de25d2d027e2603662261a705cddde35b741","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (2, 6, 6, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2924497389a91f3e7832dde1522a9fc90ef5e7492c0b3d5c6e2eb86120300656"},"sample_id":"sha256:79db8115c7f2fa6ff0f077b66d0bce660f69b9f238cbcca232765958030d2c2a","source_transition_ids":["sha256:ed711c56e6a6c36279ee8fc804e7469fe3eb4071888dcfad1e9856d7c73f9d6a","sha256:d8f78942c254b7dbba293249f17fd77ddecbff776087e6e7cac24e20ac01494b"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000135","trajectory_id":"vlr-formal-v2-0000135-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:84482d20bb374e6f57a58299c3e3bfdcf94b953ea9f495cc3503df997c4ad674","candidate_id":"sha256:2e40fce9bdc8d21afb1ce0b91985c8687f92b1491e22fe78220f222cc2591a35","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, -2, 7, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7c53e0664b08e3f29f877fe2d1bdd9645b854a5e3335fefbb35779e55f27eae5"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:a0694b1a820ef0ec527d8b0e15639ccea83c2946ec4c99422560eb8821e7f48d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 4}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (0, 3, -2, 7, -5, 3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:902681560e4b12cf7f80b524f5cb3e3fd06a5c8d6e3f064d941c4e0b3688044c","rejected":{"artifact_digest":"sha256:b9e021c78d789fabc1216f9cc8394a248e35aeaa81415349cfd7b9d75949947d","candidate_id":"sha256:710d59a62377601b93d653aa3f56ee2a2eb4104a00b4b8ed3e36e2cabd3cc530","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":12,"phi_gain":3,"phi_incumbent":15,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (5, 7, -2, -4, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b093334d93581496290e7b43c4d69cbcf5ec01be72c59e33394ca0d93a08ae54"},"sample_id":"sha256:a283d09755653387f8075802490d2a22d4ae2069d3de599241008328721c3f88","source_transition_ids":["sha256:1716a496d0c9cff61454227c8a143538dae7e6b081fb86cd6bc77d1fbfcdd879","sha256:2e06e7d1f3431814e09cd8d2ffcf8aabf7484a39aed9e6c4c3fa5796055462c4"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000136","trajectory_id":"vlr-formal-v2-0000136-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1fc62ea26d2e9895976cd61bd12c736a7ba505b64ab71f12f62120e46120233c","candidate_id":"sha256:96a3ce735b68ef770196994bc36b06a4b4404d26ec32e9e897580fc4ace9d3eb","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, -2, -4, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:cfda14e8b7238a92ead0c94eae8a02a14155e3ebf85fdd7b181b412b9c7f6639"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:2e40fce9bdc8d21afb1ce0b91985c8687f92b1491e22fe78220f222cc2591a35","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 4}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, -2, 7, -5, 3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c64bddb90f6e94b0b962856109257423be14a3409113d32a8099b9084ad720b7","rejected":{"artifact_digest":"sha256:c8f4a704bcc08970976d0a001cde4cf30a4893c4af3dbdb516e99bcd37c9aeb0","candidate_id":"sha256:a6f401716154314460022c3377943a1ae39b1479f05cf6ccd637283937c2ded3","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (8, 3, -2, 7, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a50614cd023a840e813eb7f1fba3c5adc02210290ca5fcfaaf9a94228c7251f6"},"sample_id":"sha256:f9c4f19613b05366485eac80f378b8f17cb14d8eaab86b1d48560e9222ebdca8","source_transition_ids":["sha256:c33fbe0998762b45c1e21051caca9bdc5b891523d17f7675d1a26df1bcd7ffa9","sha256:5f2f6ab98dc439026ac4c562a1773e00faf30730b6ff9144fde854c2a44ba7fa"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000136","trajectory_id":"vlr-formal-v2-0000136-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6dd50a1d3ea702f9e07b7c1e266f8917de6ddeeb2df4f6daad4a4b2094da7067","candidate_id":"sha256:81aa1e2c5b49ff6133f58ef24f93b18c8bffa3ac08083fbc39b48301d98f1c41","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, -2, -4, -5, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:10e5372bbfcde78bc09d9a17985bccfb98dac9074b3ccc598b350301e002e7f8"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:96a3ce735b68ef770196994bc36b06a4b4404d26ec32e9e897580fc4ace9d3eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 4}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, -2, -4, -5, 3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b9634316358b32cf5007221e5ab26485425ffb5710c1fc9ee6e3a38a55d8b57a","rejected":{"artifact_digest":"sha256:2526306aeed1364b08cd8d8dcb8158fd8c89f7173da9765c9400d34b41ece979","candidate_id":"sha256:744dd0bbe6ddfe716320ef4c16a7084189e7da195310584f3b73ffeb2a272d55","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (4, 3, -2, -4, 0, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3e6d013e362c1a6c66b0ea5a6d4fce94cbbaf3d8092141859933ba4de1684d19"},"sample_id":"sha256:1ea095b08a11ae2a6c6a0f788bc42efc851b9f41e81a02cfc4c1b820478532b8","source_transition_ids":["sha256:34a8a841b87a10206cc059dce594559af53dc805a3a228476294642719b20929","sha256:de858be4e1ed5e536ccb5d8dc61c1249edac53444de296845720551ffe01b1df"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000136","trajectory_id":"vlr-formal-v2-0000136-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:31695ed3f9af0be740c3fa90016c4ce241f2deb88325c15f72cca7577d3e6550","candidate_id":"sha256:2f7574ada10a3ee70b19021e63953c409235bb5f823705e7c8b6ea93afa1db32","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, -2, -4, 0, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4dad0d7cd44b1e7445305b1a81bbad97ec06c14374323b6a4ec449688939b0b5"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:81aa1e2c5b49ff6133f58ef24f93b18c8bffa3ac08083fbc39b48301d98f1c41","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:13cf2c6098314caedbf2ec94ec1fedd1e7fe25c9d4b674882ce8f3857b969db9","candidate_id":"sha256:74c3d933a032ed8b3715344166cee075dc9e6570661a5108f9805a235f1bf4f8","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, -6, -4, 0, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ac848121df7a73cf6ba4c4561e1fa95c94b2eeb8252aab15729c61e4ceb26acf"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:2f7574ada10a3ee70b19021e63953c409235bb5f823705e7c8b6ea93afa1db32","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 4}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, -2, -4, 0, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:45d8cd10bc956d5f555c7d72da24314b01ae54d344ee7dada04d342549cf79fa","rejected":{"artifact_digest":"sha256:09771005c7d2354642578bad25ac6b9a72a25cbcfee93f64db997bd7cc4dc909","candidate_id":"sha256:0331029abd159ad6f5ee5a866a5ce1f9f1312d10e60d74bcacc89c74171c3131","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (5, 3, -2, -4, 0, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:86f836ed45a1cdb3a35bffbe839d06d77e421d42c37bf71ccebea9fffe0085ed"},"sample_id":"sha256:381fa7cacee0941735316e0cfb867614105309178393676a1b907093505f822c","source_transition_ids":["sha256:31a18965f2fce854d4098fbaf5dc3ed590409829946f568ef6296378689c54df","sha256:94cc9c99d73cb9c195367db2030a318b8cc5bbb332f1623d71ba4d11f8f9ed89"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000136","trajectory_id":"vlr-formal-v2-0000136-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:58813362b9baec4f42a33ac6d6bd6aa8bb79b13280d42b2d606367a9a358b730","candidate_id":"sha256:2d52480f07f0e44173109677d1d75104251d4edf8e9316d4af64a9ec518886bf","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, -3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0bba066042054262e210fd8a513c3654af81ae0112cfe3236fcac8c609460f6b"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:d0ef46a88dfd877b08758eae87ff53b5c2d784819267f2f17cb04b5cbea698a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, -3, 6, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2c0911608cf5e846054bfa18d746c0066ae74d2157d1a68fe7096923022af264","rejected":{"artifact_digest":"sha256:25fcae82d9627d9e0d8bda62f627f345f8d4dea13bdbbc6e9996aaf409f1b4af","candidate_id":"sha256:b768bbeb0f51491cac73c07179b88c3148e5c007ae427b42734fc28ecbef4413","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-8, -3, 3, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:14d9878b83e3eac938a8bac6c6b4c1bf12c6ce8778a3ce432d17dcf438a61595"},"sample_id":"sha256:8d6d64119b29a23382912f4b1e0781a3e0d23ca8b864ce106ebed5fcde5e01b3","source_transition_ids":["sha256:e8daa2c5edbfa3a73f7475db511883508b9c033227c54087dfff4e8e173eb347","sha256:9a2789596d59d84a38e77d9f154e6b09095de774b93e3c6cd16b484a1b94b36e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000137","trajectory_id":"vlr-formal-v2-0000137-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:10cd5c6364659520ed8e6297a0c50076da5c883ff9e1fa728a84ae1d4b6dfe07","candidate_id":"sha256:a1038b97b5974125419bf9f119a07173462b3826755011835f6e5dd3f6e82419","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2ab468c64d8b0002e13fa4fa9f2c67851bb7342dd7890e59e9fe5e97cbf54a41"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:2d52480f07f0e44173109677d1d75104251d4edf8e9316d4af64a9ec518886bf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, -3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ebc430e56a5a7a4eb6567f42464b9b30297e1a6454856422344e18d7716cc3ba","rejected":{"artifact_digest":"sha256:035270608fd7917461fb056dfb11de800f18f45ea28446bc297ee143ee2df0f3","candidate_id":"sha256:23a52d7b08a2c5733a64805e3602da521172c4239a93d5e2334de405bf1e4d9e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-8, 4, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b6c6bf6c62a334fd31310fed93769dd9232f22e093754775f8ca4988f54d2536"},"sample_id":"sha256:a14d9d8a19253c0fb389666aa0783698a90fa2cd40c2f5a270822c8973871796","source_transition_ids":["sha256:ba17b63035f202e624e976f0eee88a56c83e381362e76c10ec02295e45a0ddaa","sha256:fbcc1081db370d47e75892d2af060a200567e8fa71f18f7e935578ece63b5724"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000137","trajectory_id":"vlr-formal-v2-0000137-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f4ebf78f955d9be839083d36a925627e570718ee5b9bc7dba1ff2237e7c22272","candidate_id":"sha256:07bccb08c468063b582753bf8ccc9071484e87e08592fa89ee5e8f47be3286bd","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:36ffbaaa89f66f975aa58be99ef631990be6de19e9a791b9f5e4cbd0cdb7d408"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:a1038b97b5974125419bf9f119a07173462b3826755011835f6e5dd3f6e82419","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:56695ef5c79da5a32a77d7acd8453d4f71b4d8b7f50754d1c7b4e2ac668d2316","rejected":{"artifact_digest":"sha256:456d11756bdf4a039ef740475ed243843538cfe35de77a28818fad46c5c757b5","candidate_id":"sha256:9f3d0a6504c2375da3515e1189d98fc4e23504aa189b07ddaba4ee3e8bea18f2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-8, -6, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2d7e60191576255b408a75c1340897e2a29e93b26df092896e901bc22de1fb87"},"sample_id":"sha256:062e432e90f303e5d2ddc8a5c6cdc42c3ed5ab826e34df9bab7fff9da6e38def","source_transition_ids":["sha256:6e7d29ea9eaf5070ef41e588dab4a8f35b2d486b4c31e8f136d1068ac10dc13e","sha256:3a0c00e7659edf7e900339a1f566247ce3a31c0c18c8a06445ee291f79949573"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000137","trajectory_id":"vlr-formal-v2-0000137-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:95d5a296b00e912046dd711b867f725b78a7678543fff876907e7b5c6e7f126e","candidate_id":"sha256:9fcada330b0a7ce7e4435183def8850787cd67c69f300ddbbc40285c43c7b21a","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 3, -7, -8, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d6fcf22e1cb0ac454b49a1347e7e93639923a2001615c3a9b7269558715c2765"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:07bccb08c468063b582753bf8ccc9071484e87e08592fa89ee5e8f47be3286bd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:657938758f56b47318f01ce2427bf00b3918f0cf850f89b188b3904bd345b0f2","rejected":{"artifact_digest":"sha256:c8c063ad138681cbd2c7457d5ce690696003a17eb0f7ebbd7f89abe91dee3167","candidate_id":"sha256:c033671ecbebaa203147f9e8e40ad88f959d24480b58b394487f9dd2828c7ffc","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-3, 3, 8, 5, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e567169ec1c471fe41a19e9531f255e9061944c412b09db4aaf6ec812094f441"},"sample_id":"sha256:d80d971170dc052a2d7c2680b861303c6d1faf5dded2acc4ccf47e4a2b544783","source_transition_ids":["sha256:6525d85057669bd12382569d8c4901a9c476c259e9e47dd11017c902659eb696","sha256:7b2035d9e22267c58313242f47d4c656db6fb2690d44cfe159d3b4c9e369b652"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000137","trajectory_id":"vlr-formal-v2-0000137-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e1bafbda31313aec595d6f4715b3bd327b33a99475b47db9d1ee8f54bc20afa0","candidate_id":"sha256:49cf1d47f9788522495de443412c7133caab487b0c28a165592fa54fab50056d","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 3, -7, 5, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:07449f7337bdb48fcd011e070f715d25c1fcdc73186d4d010a1cad8d701a44e6"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:9fcada330b0a7ce7e4435183def8850787cd67c69f300ddbbc40285c43c7b21a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 3, -7, -8, 2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:aea5a36d62a5c2eb2ecabffa016903cb5f79a1ce980bd657e63c1f447e3ccbbe","rejected":{"artifact_digest":"sha256:b39600c0ce9eeed056446d5898452f9675c9a3cc838b6dcc5f09fbd5aace22eb","candidate_id":"sha256:2258565886eb6055a453871b6c8fb8f642067d16160bf196d063f9615a815344","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-3, 3, -7, 8, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:30941ab72edd84d3483dc85f11e983f650621a69f2cb9be30ca644e99be8e76d"},"sample_id":"sha256:a877c40e0239d408a5f81c27153db95c36ea215fdde26768c7fba5008c44a520","source_transition_ids":["sha256:0f2e98f3c7b84efa4915e6e88eb5a9b702cdf2b5e6f571a160e83cd2d0a2cac8","sha256:686f7241b9605cecf65dbfea43934732601029bc93931a3817cd008cb5416754"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000137","trajectory_id":"vlr-formal-v2-0000137-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f8f933cdd573b1ee7139acdc279f4880ae80934d6fae1ede89fdbb3ff70d710b","candidate_id":"sha256:53cd874a320ee0ba53c2f86eaec852c556468a049682836ba977d410f9981d26","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-3)\n    return x + (-8)\n","verification_digest":"sha256:5804362bc21eddf0099e532410c87b8a7765476e2b4f72bc176aeed70bd7825e"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:60101a77c03b277c2d279f2a076c363f1f1144f4de0dd58f881ff91a3d9c1c9d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -27}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (9)\n    if x < 6: return x + (3)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c5fc7e9b219a53dff103c3d070ab4b3e1dca8836d2d8f26ae9abe6fade5fa3f8","rejected":{"artifact_digest":"sha256:f642b33d86f976f7ce93483e6bd6d3f5e111ce47afceb968ad96cc25810f71a4","candidate_id":"sha256:eb2e7aa23164806f58c9358e18c44bfb9e772b31c632d5a9c9db19a2492098e3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (9)\n    if x < 6: return x + (8)\n    return x + (-8)\n","verification_digest":"sha256:ede3354ccbc989bd1342e5027bc9846522b91e54053bd45c6f70aee568b4c6c2"},"sample_id":"sha256:c18a05809911fa1132136e588553d0ac17e552e5eb7dee175bd56c09ff13ccba","source_transition_ids":["sha256:19fc37647da5687c384d2318f0a04e9325dbdb399024768be88678c928419ec4","sha256:39df60c39f343597aa6ead670f2e69dec1f22047081c08ef1639cc5ea3469a01"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000140","trajectory_id":"vlr-formal-v2-0000140-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:139de65f148ef485ae3e5639d800c8d281511ce947defd0df487a9f5d0eef08c","candidate_id":"sha256:82023dbf20f8b365e1139a0d32b423391cc9467e240215284c616734652946fe","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-8)\n","verification_digest":"sha256:5d17c1deb0b73208adf7a10eccd7e6f39f9ea8b19def704748f03e751f0aa497"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:53cd874a320ee0ba53c2f86eaec852c556468a049682836ba977d410f9981d26","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -27}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-3)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e86c3127a6b6ee6e69fc53d64ca5eeea3b9f52f80e419a12e836cb73b8e0ef63","rejected":{"artifact_digest":"sha256:6c5f173ba5603cfd22923d015ba98fdf7183e9b9ed339640d651d0f7134bb692","candidate_id":"sha256:c8b8e30b8be08d01e935488dd2972d8cef00cc120aa26656e273861e0175c81c","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (5)\n    return x + (-8)\n","verification_digest":"sha256:41e237b20851cad0c12fd7266b2e2a3ec3c562cab8338dbbb9cf8531f0f10ba2"},"sample_id":"sha256:c9865ae0535d88563c5ef1eb74f26f037b56b1ab761e3bff03963eca39558120","source_transition_ids":["sha256:5ba46e32a8965811503b767a62c9e18cfb1afc80b2106d6466112ac0e5fb19ca","sha256:4b07a4e7b8bba7d6dd2ec85f63665306948a5d40d937470f5bac405cb20ea822"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000140","trajectory_id":"vlr-formal-v2-0000140-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:45230881c5ab5e3e121de435a0d5f6dfd372e75fc145064518676efd0eafc822","candidate_id":"sha256:99dc2d66ce37e1db2e72a41081b4db07ae04f5934efc33e402da64ada84ae996","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-8)\n","verification_digest":"sha256:a1768ac5d1dff98584e8357f6e8ba129dc76f9197e874cfe860f5c54728c3e0b"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:82023dbf20f8b365e1139a0d32b423391cc9467e240215284c616734652946fe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -27}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:36b042e309f0982f7f117dfe782193a4e1f6fd4c56bc370b21a2cfad1a7f80a1","rejected":{"artifact_digest":"sha256:7018dc62575e5591f52a12f3ac54c0b663650bbaa6f0ed1288d91b7748dec85d","candidate_id":"sha256:3a4e091ac4c3ddcdffd85b0c54f47243995303bb6a52443050f8e456b57d17d2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (-3)\n    return x + (-8)\n","verification_digest":"sha256:869deb98332c8dafa516badef8e59918443f1e3e987571f94d87e4b0d805dd1c"},"sample_id":"sha256:e27c0c89c6aa9d703d38a014c1b50affb0e5177c99d1c5477e13c90d655fe250","source_transition_ids":["sha256:9e46b8554e30841eabc4c7043d94ee0484022ebc34a308abaebea0b8811dd20f","sha256:62d59292ac0802be4f49c1c5f33cad627f9c1a68fd6ab79f1b874d20ce8916ef"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000140","trajectory_id":"vlr-formal-v2-0000140-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:60c4a7c948a9a8e8344aba7e3618e530bdc1e42dc79631ee6fb0f46434e2c458","candidate_id":"sha256:55f9096fe4ca2a079afcf841c7b77ccc78edc1eb60c7a633f5ecc02e23a081c7","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-5)\n","verification_digest":"sha256:d0db091fb701346894e73e626bfa6d3989fb66c6d2c8fb0a2cfa0490f11a43f8"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:99dc2d66ce37e1db2e72a41081b4db07ae04f5934efc33e402da64ada84ae996","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -27}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e7922ca52d90881a8ceb6b456c57a00804ffe769d873aab179719200e27921cb","rejected":{"artifact_digest":"sha256:a16a91038845b38b16ebd1bb15f02cc4782d903982b46ee21de9ac78d4e46c2a","candidate_id":"sha256:9cf1ca8e1f59b109aac3db62e40596dbaeb0c0bb3887a9b2a4924492c0d2d30b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (4)\n","verification_digest":"sha256:e929ed0f9378b63fc913294d0f8c189ec30b5bc3fdd3b097105d0ba17ae00774"},"sample_id":"sha256:a2e12b28e8840fa7d15bdba3ce4e1d4a7adc1cea648493c3240eadfbc294e59d","source_transition_ids":["sha256:cff512799e3943f55b4f33a6e216e5d42401651d0317e40d681b8506db66395c","sha256:9a63c639ffd373549ed4ba35f782d1e88742aff311efec11c3d33e74bc65542e"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000140","trajectory_id":"vlr-formal-v2-0000140-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c0804cb698249a8a869343dc932014c6b717f010881a6d054dd229c72eec5923","candidate_id":"sha256:8b8b64a39a2f64a709e7612e9515821009fa5cdebb2b68f743311e0c583cb3b3","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (4, 0, 3, 4, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dc6c28e6b571239879be8cd2dcbf00ba5d1a0ab57193515b30c37ce6a9f9fa8c"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:cc52e851a4086d9acff3b3d9696d967832a43548a5694dfe20e99f942174fe66","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 0, -5, 4, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:61e882db01cb9c68e6027f911d8543d02c1b26cc8f75b16c6034f9f836b5b4c4","rejected":{"artifact_digest":"sha256:1a4ebae0a283ed4231c96e397b1ef62281c19745cd277b05bc0bd401d33a0957","candidate_id":"sha256:6e16a661a506c6f990c9b2e244d0bbce73f483c64e288e5a396e3f15b4089788","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (4, 0, 1, 4, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b92c8d64dc5d1414d7b211b8a41705ee9eb0b988d73de3db02d1015e32d63a7e"},"sample_id":"sha256:0cf593bf882cb07e086caa9871857b1a450e2bf9a3c6ea53bf1db5c80027c0db","source_transition_ids":["sha256:db6a39bebc6175710dc2b48df6103eeafb4a40087e80d26146fdf3cc51abe483","sha256:da0793e115168263555a2e7a70e6035b29eec6e0e22ae54aeefb09b00a41310f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000141","trajectory_id":"vlr-formal-v2-0000141-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e4d075d42a0d15fba72f5c2de5bb352a8e057bf3cb3d3e9ade00f35102fc306b","candidate_id":"sha256:a943412f81b272ee0264526b4736068264d1624dcc344e9fb69afee404e34593","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, 0, 3, 4, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d09bac5ba48e3d0f5938de7b8d78e69a8487d9dd560e889e474fd14299a4cc05"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:8b8b64a39a2f64a709e7612e9515821009fa5cdebb2b68f743311e0c583cb3b3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:ab250f56ef64d634131664e2330afa13bcd33ce8d86a05e77f4c4820c7d6b2ae","candidate_id":"sha256:f8415e38bcdb60964bac74e7d3161641c4a64472990bd31ad51e32670fc7a29c","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-3, -2, -1, -3, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d4424d4039c492d72519dccb9031e25e597238a3364866b968540a39057cf561"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:09b14fa53ad3c40922c60710c688b599bfac8f5d9f243cd7a5a373f286e7d1b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:d1b150dcdf6d51a50633aec63d061fe5abac074a4d2894cf5d6acb7755b2a196","candidate_id":"sha256:c060ffa02ca4076e9957593ae75dfcb7e02e7c541964051538e60c63f2fbf926","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-3, -2, -5, -3, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f9511e0717896081d8ab1e504ed0bec41a2f431758dc9e3f746d85971ed1aa2a"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:f8415e38bcdb60964bac74e7d3161641c4a64472990bd31ad51e32670fc7a29c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -2, -1, -3, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a198b12f9168b0b8b203e2cdb80cd2a6687108b2c0e53b66452657a67133fc83","rejected":{"artifact_digest":"sha256:d5bfba4a375c7ac0209b86bf6d97221d2e975b1f558564b8a2f6afc06ef42809","candidate_id":"sha256:1fa6758536709687eb02c6f019ffb54b8752c0a82e75a7fd5342bd1b85f9e6a2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-3, -2, 1, -3, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b75be43788bf9baa2cb496604cdc66921a5ed87b6a9e9c75ba5f9d39d26d5646"},"sample_id":"sha256:8ff7429ca23061d4e5ef2cd15feb31404bccab627a0c74111fee1151a9f0d72f","source_transition_ids":["sha256:45c0eefc0a1fc9ff4524287d855715886d18e1ec367c3bd07911b6c5320a3105","sha256:52c3c568c8295e33088a6e60f021ebc2129ddd028aa1aac040699f1167bf5a9a"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000142","trajectory_id":"vlr-formal-v2-0000142-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9a5ef07d5a3c120ef93db0fec00c2ced9dec5d9d92bfb70fe9336a920b4aa4c0","candidate_id":"sha256:847816445e292456f3c390d7d6ff24a953bbc3bb895ec58ce63038e29cb779da","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 6, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:dcc6905375cc347bd7875e98d1ffbd6bb970213a184ea6b4be75c52877ccd053"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:822988b97ef7a44870f30516becfa52c5a935b772816fac415d4a7b11fdb1ca0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 5, 6, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:aae13961acef714e55040a05b8629a36fcd62a580e436adb97d32d4245889d32","rejected":{"artifact_digest":"sha256:7eb116aa92389bd00b80063beda94e0562b4b4a2a07e5130cc7ad315b18f1cc2","candidate_id":"sha256:1c08960e029a27ef6a256c5c705a46ad0f7ca7040b9fea7d5191c650593b388d","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 7, 6, 5, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1e3595ad63920c2781a19cb257036156b678fa7871a42e0a181fd6ff1e8c02de"},"sample_id":"sha256:d3324881117c43cf21c70fd37a69027a4fa95f72820a584e6c2bb52cfee2ae68","source_transition_ids":["sha256:573f3088d9fadd20219d2c8c078c0b6c3acd7003433dafcede819ef02605b05d","sha256:d4f6444e070d202fbd0ae85b35019e5ef3ea3ce9e45dfce315569a6a8d7a372f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000143","trajectory_id":"vlr-formal-v2-0000143-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ad2aa622bdd9a2e8da0bb5cde6c303958d3f5e0cd1b8995f21af384ff461529a","candidate_id":"sha256:86572af10c57c59e12d008a60104c355de6bf1a1f2b19815c64457ae1a4e2c2c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 6, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:dca5d46dfaf96c3de6254215f0ed382605593e3516f23fcfe6fb8c49c30efd36"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:847816445e292456f3c390d7d6ff24a953bbc3bb895ec58ce63038e29cb779da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 6, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:717929bec47fb51508247fd9f97a6eedfb33c525abae7281b62cb634a9968c81","rejected":{"artifact_digest":"sha256:16d93110f9925c7847a93e373ad4c4d6aa987bc7123e9ce11fe3e5a56be1ca49","candidate_id":"sha256:317092089a0b7e4bd60142b33d5dba554d20030e9be5b61d4a9c2f88c2201bfa","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":6,"phi_candidate":2,"phi_gain":4,"phi_incumbent":6,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (2, 7, 2, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:40aab7db04d306e80a1b63c3c522dc68a1faee2e51563ad71189c7ac809c5e77"},"sample_id":"sha256:c2b42f88896972cef7762ab93aae64ee4c1b7c498f5df047bc2538cb044f1fcb","source_transition_ids":["sha256:45673219f888e172129ceae1da711d106eed8a44b331c3dc41b4d1feefce8767","sha256:5daccd8d7b9b5d9813825e8f868898d3e48e6ffcd5efafa8ed2904f041ac1949"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000143","trajectory_id":"vlr-formal-v2-0000143-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e13e9b031262c1c40cad085661bf46047a5576bbb6412bbee58344121553709f","candidate_id":"sha256:12a1281bc4c1d793f6d386282ee9030a4e388091020d1a755029dcb9ed8a9e6c","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 2, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:95c8628d8959f89a6ee90d4b97e0b1d2771f5974f1e2eb26bd05ec2d997f74ec"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:86572af10c57c59e12d008a60104c355de6bf1a1f2b19815c64457ae1a4e2c2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 6, 5, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:196af37b60606150ebd5fe1a513584e7ee6d67999ba53e871e1837ddc3efea6b","rejected":{"artifact_digest":"sha256:e7dbf45dc10dbb969fdcf77ef617be4d5723242a7a0d647131fc5793d278719a","candidate_id":"sha256:b31625bf3628fa520eba24547884d6779eb95427b59f0185c176b4a5d94e8713","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 7, 2, 5, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e89a4283ab72aba893a825f0973d4ec583907923c786c6f95574e374b0a4b622"},"sample_id":"sha256:079352f01f7fa1e6f97ad66f679c6b6de221ce39f638e24c1c02ef9b5761f689","source_transition_ids":["sha256:5aaf21634ff2c4605234e686717728609a31cb1ac7e3bf6bfe9ee087090148ac","sha256:8f0fb04ce47a3a206c09cf89ec078d0bd7c83ed5c78a2db2b16286a0bc695064"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000143","trajectory_id":"vlr-formal-v2-0000143-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:42335db5101971442f35481b23facbd64e493c19ede2998493c1b5b10c42ec4c","candidate_id":"sha256:b07f0f7629dc83c62cc53e57e5e968c00b2f85afd968c4f6d48a6fa432a81366","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 3, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:66058ed4ebfa6763462b98a507f2ff121094b98bad59ecd8414ff329cd6b1f7b"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:997a0a00f4357de44127e15503d1949e5eb0861fd40af8cbc27eddd3bc01b062","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 3, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5ba00d282b91ce0e9dd044dfe20895eba67957cf11f1eea9ef03e2805dd60971","rejected":{"artifact_digest":"sha256:788ff54a283223e85cd40f554100c3f82fcf82595fa9d71f483e92db11c847b7","candidate_id":"sha256:56e8514377b675c29a9e8f4b3d1b80819fd0fa45970ed2b9471599f199134d76","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (6, 6, 3, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:09fa927d3983580864901af1cb3c01c80f461bc621323828c13c9548ba2d5164"},"sample_id":"sha256:c09f9e2ca8d918c6bd09c210df1127f692ff8ecdd4312251e0ef14f9c4913a25","source_transition_ids":["sha256:3a0b15a489a7bc1663cc0f427bbd122783e4eb0f23074836117b9374313b3e3d","sha256:d099c941a3a692e1ce2a2e0e072f1a2ea0a55083c524093679c4b8243f8b3d07"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000145","trajectory_id":"vlr-formal-v2-0000145-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:90eaed26dc63f0eb323cf08519107b65df5e4b3761c12b77d5b000e75b0827b4","candidate_id":"sha256:11e9796ece027fb75b503e2641ecbc707754c0742b5ced157e1e627cf03d3d1d","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 3, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2d2d4f243501ca31b4db7d5801f20e573b60f5d8f9bc36104975485fc5754ac5"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:b07f0f7629dc83c62cc53e57e5e968c00b2f85afd968c4f6d48a6fa432a81366","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 3, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9da0e5281dacbc409871e07808dfa4b7c6a1885e8dd42fcbb18503aededdeecb","rejected":{"artifact_digest":"sha256:0894e617120f771a6e56c4a5072765aa6c98492088e96ddba90227ae930228e9","candidate_id":"sha256:6759116ffbb0549f5716ee988755eb9097a13f4c377b662ea7977ec3c349105b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (4, 5, 3, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e1a204310bd4a62885effeebdca73112c98de38578fb3b96e25ad8774bd8d94a"},"sample_id":"sha256:7236a2db0224a8bccfd45f483a2ab12e33a2611047e83d02767cf9903016e713","source_transition_ids":["sha256:79a3319f0f58732d709a1e17e1cc8bae312d2f8ff59cefba95d6e66a9f908e81","sha256:7ca666b74d1f6bda03eb71ffdf12fc5bf423130a49451262160e9d79c772e1f1"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000145","trajectory_id":"vlr-formal-v2-0000145-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:21c09a702cb9559174dd0d80ee07d78afa7a881de61528c2b6c100c3bd424aae","candidate_id":"sha256:3978299e01f533713199af84014f557b4245e8eb4973ad4d5ce99b36c601a9f9","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ba802de06a3a4b33e18f7619eadc594dfd1c650bc6d9ed79892cbc66adf29495"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:11e9796ece027fb75b503e2641ecbc707754c0742b5ced157e1e627cf03d3d1d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 3, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d42a99b5b1297c0dd0d32075a740799fc48cfb7334075c1ee78bd4c1149d9cab","rejected":{"artifact_digest":"sha256:ad7458c63c489cf77b0a5e3507fc29507b4db0bd8c14f3903d94c6a726a58683","candidate_id":"sha256:07a28e6b58c08cde20f38e699cb60943e05648731b347bff48f795f1223946ef","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 1, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:846a831f56e9e1d42271190d0bbf7f0274a74b6959f86c531df49639f0d01d11"},"sample_id":"sha256:0e171fd1be99bf77633c0cc81ae7da30ed694087eac51a40bd947a305f4f9228","source_transition_ids":["sha256:2185ed49d9a6c26cce9f13968693575b7659862e71d87369d44535ee0c3ec39e","sha256:f3d7c55d27552c60da8685a6a2059201693ce071410f59f041cd226f83f00726"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000145","trajectory_id":"vlr-formal-v2-0000145-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:23db1517309dea8ec68ae75ed73833c9a0e449d006e3d0ffebd73ab8818345fd","candidate_id":"sha256:3293286191e1cef15048de75f8504e6f4523dcc6ad433c9a9adbefd5b17c9161","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6216e7932fc27406483079c234d2d97dc2de48d79db5cc6ae63428992b6346d3"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:3978299e01f533713199af84014f557b4245e8eb4973ad4d5ce99b36c601a9f9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:95b2728cecbe7c456327d34a7ed07addd1a6df7433f75995dc4b0a7175bffb90","rejected":{"artifact_digest":"sha256:8b2571dcefc6deb12bb5072e4b2fd61b7866d455f09669f437022f02474a3210","candidate_id":"sha256:e70e05fb37b88736df764da9fdb77aff924b3ef363187ccbe9aa39ae901e9ff0","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 2, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:043d9ea1b6c16983e61358da502726a8ba324021337cdc88a3683d125d69e5e6"},"sample_id":"sha256:80359b4db39386b1fd0a21b7589e81f4903d2194371a5b1cf970a88136a8bedf","source_transition_ids":["sha256:72b4151698b3bc2e97ee19f28d7f15b8c30e54ae2ef358d772bdf47209257caa","sha256:d604442b18cfc4a9bb9d2cb592bf7296e6cdd30cbc884dac209c96fe836c425b"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000145","trajectory_id":"vlr-formal-v2-0000145-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a9872cd87e9e8896b276b0e3e50816d867fcfa2b943bfa5197ec325233ff3072","candidate_id":"sha256:ff3a078bf913dbff7f846895ad7e8e13fca60a553f9066087ad6d384faea6e45","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 6, 6, 0, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:98d878d3da1790fab2a8ba12a754809bffa5c11c4215488e8d4662df91d0c56e"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:3cc819dda8102162acf8b1a626ed45e6fe7a4a5ca7efee89021422b6d35e5fc3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 6, 6, 0, 1, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4eca41219f8b5af470ccb0c3159754a4a580604fbcf1ceb4db394553062c8c85","rejected":{"artifact_digest":"sha256:5f44e50fbca4d12985ce8d7910887af0328041834e3dad06d03f43d0a1cd9b9e","candidate_id":"sha256:f5b7814a70a3cfc405f5c597d3d28a2bfd13ac96de2f4eb4fb9cc3672d136af9","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-6, -7, 6, 0, 1, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1fa675f8d6463837c23ec72e518a9e058f8f438395a781690b9f2edb678cf5b1"},"sample_id":"sha256:6a204300a257759bcb633655caf894a32643654a223fd793406e178507ea8f0b","source_transition_ids":["sha256:17e410917ea7cca2e30477f525df7b7b60d4fed701df00e0fa51bbba431573b0","sha256:79b5eaaa2884efa0acb17456cb2aae97ff2337713d341615ba45d651c98e4f39"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000146","trajectory_id":"vlr-formal-v2-0000146-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:88a15c20d6b67c02001a2172764a5c2305a79e4bec88cbed4d31242fce47292d","candidate_id":"sha256:56331d9d6004b1d93d395058155f0f865affe39cde227049c33a132d316d6f21","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 6, 6, 5, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:72702fbd4a978886f722bb5019688e5bbec498f9df8255d1a87b5dc2c4d86389"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:ff3a078bf913dbff7f846895ad7e8e13fca60a553f9066087ad6d384faea6e45","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 6, 6, 0, 1, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:de6e4a957c49a10b2c10d9da4767ba547e97cefbede69b845f5a57de7ced1832","rejected":{"artifact_digest":"sha256:a322f7d53d6b778ac63cb5376a00c1857df34fd53d6bc67ec302f272014bd28d","candidate_id":"sha256:5cc8cffbf20fbe8f8348ecdf43c56f5695cfee7d7812dad890ef5dc6c198c847","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-6, 6, 7, 0, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:716c1ef881189335f261feee89cfa9887d6ef760223975ad597ee4400b6376bc"},"sample_id":"sha256:62c31f93b58475f978ed298c131aa998ac80b9c1f60e1461c03545f35b4e1f32","source_transition_ids":["sha256:6f90b125668f620373c433d2fa1dd1aa13c4192d41ddc085bb05f5a8a5ad95c0","sha256:8860fc9ae7de556c6902d1ba341efe1270814aedc3a989c2aefdbcd932b728f7"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000146","trajectory_id":"vlr-formal-v2-0000146-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:984bce3e18d076d3f77f90021d04a518c73dbb2321e1dae87c241b65511df843","candidate_id":"sha256:52149cba85e8d7600c8a8031bd1c2de14d4a90ab4c51322f9bd90f24248a86be","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 6, 6, 5, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ebabd6b9dc28b6de2a10d87ee6d159866d2cd3509a4fc61bd6af2ab14250c715"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:56331d9d6004b1d93d395058155f0f865affe39cde227049c33a132d316d6f21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 6, 6, 5, 1, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5fdd62850d292abd415830dedcf46636c945159ee8515f132edafb8b7c2f741c","rejected":{"artifact_digest":"sha256:022c0ea86c668d1838124edffdd7abcdb2267dc7535c5b61e8b7534bdc583a49","candidate_id":"sha256:d4e4e67050da6823a58cb760ac7ba38caaf97e85611961b415aa089316abd305","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-3, 6, 2, 5, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8b92114021f6ceb1fe3af27cee3fb842fb5bc5874b21ebcd6ed6b13a540efa5a"},"sample_id":"sha256:de9d62b61223f330242c8a7d51047fa1a563165f7241cd97596304b66feae6f0","source_transition_ids":["sha256:e015a8aab1f5db54669747a73afe58a5f425cafc0e7d8ba23e3c3bf9d73c5921","sha256:7b515b9d10cc434cd6533b495a319d2d3d949f66246f7e9a9b93c68f49328b68"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000146","trajectory_id":"vlr-formal-v2-0000146-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:89b1cd41f5aa4ac2e6dfcb8c2e9a3b09f0fa2da9aa16d4862dae4c017475d27e","candidate_id":"sha256:417fb09f7a1199d4e6cd8a668bf896bb2e3eae3c36bc943543655d727c8b7594","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 6, 6, 5, 8, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:673fb6d29ef8cd3255c37aea28a0ca3fff5e5255f4f5f36720d9f6a1d957ceee"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:52149cba85e8d7600c8a8031bd1c2de14d4a90ab4c51322f9bd90f24248a86be","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 6, 6, 5, 1, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f24ff37dde49b04a4306c64f4a9749ee040d750fb4a80523dba8e2f2a628bdf4","rejected":{"artifact_digest":"sha256:e283248f4e81c8a5173efd1c8acaf4692f76f5ff27057733e951a6b117c2e2e8","candidate_id":"sha256:177333054e5782b00413fbd3668c2441bd6102605543d7542395419c6ae04d36","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-3, 7, 6, 5, 8, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3bcd00ad8c078074119979c1b56edf7be44628c7158308de01e75d337be51b16"},"sample_id":"sha256:f7082a4494cfcb87c6a9222af8fe19bd6aeac7ab14beaa556c2c26a2f4fef173","source_transition_ids":["sha256:ea46f4975ba3c1694b50da02d01479f12d311780ece0f535adb7bbe98e849b74","sha256:f1fb2aee82fefa1ede8eaadbe4fb936537a4221cab833de64b123129d8dbad03"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000146","trajectory_id":"vlr-formal-v2-0000146-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7b3513b00aa3dec952a86a02a6344e4d02aaa335b2c21984d9a6390830ace254","candidate_id":"sha256:b82fb946d4e6dd8e413749bef699e2fb34c999f8febdf71df8ef59797ecb8dd9","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (4, 2, -7, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:e2c2df4f4710c117ca8cd001eea30d82c8229b96f1280bae5f7c8a0862e38ecb"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:d8885ec3e6dbc8d69a31d8a557a8f48b31a6da8acd5fd73b5f0c1b0bff104b1a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 2, -3, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8dfc8cf159ddefc20bf475b9008619060a4733baf9b575e53bfee328e71d9dde","rejected":{"artifact_digest":"sha256:8e8bdee341a644bd159a74df05135b32704ec384738345b7afead438ef7c923f","candidate_id":"sha256:bd43d6a7131650034f9e4794b3789b54796405fb292883bcba9926c777f6fd32","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-1, 2, -7, 4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:3bd5acac61f65e787c1f460e010d4738cdbaddee3df80d69d7e472d3ca250f3b"},"sample_id":"sha256:0ac66598f6b22726078c53ec97ad7afb95ec92e1c93cd8cab8f7ed4a3869fa43","source_transition_ids":["sha256:63c19a7ebdb4bdbeb851ed86c585fc4ed2c77fccb6bf039e8d17954e4e4a667c","sha256:e8b911d3b2efa4ce42c34e8a13a8c2b1b2136c639ea24de0f386e3dc078c4022"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000150","trajectory_id":"vlr-formal-v2-0000150-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2a13018ee56bde15b98cff9874e00afb7d8cbc7c7fd557af068cb76eb1993e67","candidate_id":"sha256:31d5eee0feaa16b7b85f412125b6b77c9e1d2db30cb39bccbbe46ba39041d247","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-1, 2, -7, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:333a5cacd49599ce0d5e24751abec80124926ca98fe1687a87851d1ad4d8ce9e"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:b82fb946d4e6dd8e413749bef699e2fb34c999f8febdf71df8ef59797ecb8dd9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 2, -7, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2e29084a1b254d733c443c495e9a754ed1a3558a3342da47b36d2e65092b68d6","rejected":{"artifact_digest":"sha256:7d99549149c69a05305c49947d641a9f21243503ed52307b76d712d633320b5e","candidate_id":"sha256:6b6447e0b18ca93445f8a9705b6ed5c5f97124588ad801987765a7ff8508f120","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (4, 2, -7, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:1dbfd264c15a7b018ed9a541854dbe59868a5699fb92e98388015a8859a5ffa7"},"sample_id":"sha256:d238fec29654edfba83eaf46c63a82e7f596c23622dbc7ab26e8c4193e850180","source_transition_ids":["sha256:68e305981c6df8bf12c1b2659de60a37e985b7f14a6639756f1fa9f129e7dec5","sha256:528373f335a3074a584d6645d5101d28fc3140c8e4adb480b6ae5d0e009b63e3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000150","trajectory_id":"vlr-formal-v2-0000150-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7b17ad95de53585193dc548f6bb3a7efd73da64ab1871540ce3d06d823cf95cb","candidate_id":"sha256:b1903f8fae60cfa6acf0e12ad01ad5d1e8fe0d5b0f13fc59131322ef648fafbd","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-1, -4, -7, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:d6cb7628a8bb744e95241f0cd2e8f1662bc714d10cea07b40e5c5fb17f38474d"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:31d5eee0feaa16b7b85f412125b6b77c9e1d2db30cb39bccbbe46ba39041d247","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 2, -7, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b9659e386c545097c9d9f622584e562df2ce262f96fcac28a20bd2a62112e5b7","rejected":{"artifact_digest":"sha256:3e73132eceff65c279b811bba55f7fce39ebb130a6786dceb2057da0128f675b","candidate_id":"sha256:4964feaf973d58ce406227e67db0c3e5bec2ead644d37d9a4509ce4c9ae676a2","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-6, -4, -7, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:1b8b897923a2b46edba762955a12c1d416b4fe1c6ef28487d4009b8d4e95c504"},"sample_id":"sha256:f4f9a74bf6b4f8fdd67d3ad5c3ce906146575ac64313048d269f00760e696e7b","source_transition_ids":["sha256:9c7fa5ba750af6ca86cf13ce178831a82929e4d1623ccd976bc9f366e70e3dbc","sha256:237bf5e2bf7cf90def6b899e281a3375d04d3a5901cda4874aaf44baffbcc548"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000150","trajectory_id":"vlr-formal-v2-0000150-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7212935e2e7ee683b934625e090456bc8cb455151aa619c8975730b2194c7dfb","candidate_id":"sha256:0dee3f614b464726bb44e2a6ed9e1ba3a8bee84f25736dc99e07da59aac44473","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 9, 3, -7, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:1265e72d3019fdf18979baf82bc1bcdcddfe8654c449655a46d017878833c0f8"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:ed21acf63d3ed0eee236f230bdf134cb506105e8f13115ad39f60bcce9348235","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:c8c73fe446d4aad3a84f50c3dc266dfa3f052f18c321951b7fa3d8b4565e7cdd","candidate_id":"sha256:e62a90a16a4b631c6ac6f93e2aecba31cd8c506dac84b8ce3fa9647cad3399dc","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 0, 2, -6, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:6e8ac939bdd5b66d8a2d064acf658e87b23f490d49320ba04acda0f7a82dbb58"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:e12cdfe9a3938460ec368c39abd3a059d891611b471b86145cef509118aff3ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 0, 2, -6, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:22ebe85f47bd7a6bebc2acfbd5719d869004593e5b7e0756be4f7ba4ec3ef781","rejected":{"artifact_digest":"sha256:609644fe67c1fe3db844bc3c41da76dc45fbd2ff9929b4a6a676cd80220c14a3","candidate_id":"sha256:d01cde7b2712bc98f882a6407f2e88a1dfb4f8cecf664257a9e1481debb48015","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (7, 0, 2, 7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:1304c3d82d0ade25cbebbcc61e3715a14e99ead28e63a529e4aac8bcd9d941be"},"sample_id":"sha256:8bebf929f23510162a3a04dfc0ed65af683789979bc4f622fb9c1cafd11ddeb8","source_transition_ids":["sha256:42a8594011240597ba203d94b00e58ea3e4c0effb4475f5a48c97af8fb1ef127","sha256:e20267337eb19dd37e4cd0540a0ef1167dba7ca1cdc9f6b52d1135d2308e3af5"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000152","trajectory_id":"vlr-formal-v2-0000152-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:db92ce9365290bcc45184e247b8a1fc1d21e37a8a19c4f5817bc38f605edfe47","candidate_id":"sha256:774f8c8c3b59ce9e7af1283ca8b8ec68afa365203980eb4f5d6d261433beba7f","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 5, 2, 2, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:05f56a75c24d63503a739faa59e9035d8b5fbcd71e59e9d239eb5993077ff155"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:7d3820f2ecd00e1f8cecf6b08801d4c07e76f043c70c0c7f73be642ce4b6d13c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 5, 4, 2, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2eef66ba8f0ccc62935be408a39f721cba477430775e82002d1da652cd44687e","rejected":{"artifact_digest":"sha256:979d7132ebaacc54c852f448c30c2e49afdf5f08fefa99a33ebc0aaf1fce3bba","candidate_id":"sha256:7b3782c53f23165333dbc8fb6a1781190a084100d8e11c82d53c75e68a28258f","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":6,"phi_candidate":5,"phi_gain":4,"phi_incumbent":9,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (3, 5, 2, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a93b781c9ca5082c406e19ac77d54fdcbeaeeff6984b8ba873d2f1b78ebd03a2"},"sample_id":"sha256:829790ba408aa62eeafe01c13b2a86c9bc93fea7add5e76aeb6cea64d635462e","source_transition_ids":["sha256:b3f36b7e5356f942b712dc271a52e7a57854823dbab5c5f1e24e9f5875efa434","sha256:7fa26c9dc7fcdf4446b3b20b530dcf6cf4a7b3b4ad8a4f41c4ce0e6c7034fad2"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000153","trajectory_id":"vlr-formal-v2-0000153-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dc2ae52317f2781caea58f0dd75f05949ae45d54817c29512f7057f4aece063b","candidate_id":"sha256:eacd7cd4290d86361675eb1a0a0ba7ca14de593acf238967474c5b9d1f3d863c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 5, 2, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0ba3342dc6108e1e84763671e0c601f2909f4f49db3aad7c2a2119d965b4a3dd"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:774f8c8c3b59ce9e7af1283ca8b8ec68afa365203980eb4f5d6d261433beba7f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 5, 2, 2, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:53d900d2dd7b5124423e6aa3ece034a4f3587cae23ff3eb2fcbfe658efbd580f","rejected":{"artifact_digest":"sha256:d1d90e339dcad902a7d3b528f7c3a381b8d95741c352c6225183f243a774c602","candidate_id":"sha256:aeb6d8898bda494d3ab2795c300736254c46c4151cbbbb36f501c20de70e5d93","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (5, 5, 2, 2, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:cbbd9203f3f5f11407965b597770d6b358c4b1a9c10e88343c1bdd9e285e4b3a"},"sample_id":"sha256:45d8a719c21575c991b0c6f5eb9f3b7feb2f77ec196f00e8da9e2bd7c1975959","source_transition_ids":["sha256:2cf917cc098c06e48ef8d76f96507d6a9ecb2238d4b9b267ba5a859effffd44f","sha256:d6d31a653df8c6b9dc9d7437dc0491e84eb7f4133976a9c2da3aa8429b7d999a"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000153","trajectory_id":"vlr-formal-v2-0000153-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:90f1527bdec720306d639e203acf2a5734f0bee7bcfdd3d53c4393c6a5fb7983","candidate_id":"sha256:6bd9ef2bbad8388cd5f60e4521bc33ab3a850ab9d1383f5426802a3eafe25b6f","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 7, 2, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:cc67943db30514c40aea730d8f19264eb7a8c218678becf094e2697ddca5db1b"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:eacd7cd4290d86361675eb1a0a0ba7ca14de593acf238967474c5b9d1f3d863c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 5, 2, 2, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c768d353e27687cdc8757593433817922f1ac476fcf84baee45d0a8728251729","rejected":{"artifact_digest":"sha256:bdd3f9fa37e93f95eb33527d90297dbf9c086ecb87327700f88bc749ac51b5aa","candidate_id":"sha256:6c091d1bda0d9c6268e03a01f8eddda984ad1e71c335470edbd9a2bf238743f0","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (5, 7, 3, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9ce2c6ca7d58708510409563e8c8df18fdd27449b63f631e91f7a876e310ac81"},"sample_id":"sha256:8ec75b8e3bb32e8d5aec2c5f378abeebbe9ae770f8bd0b562aa7cc4778350ca6","source_transition_ids":["sha256:0ef1ed3d47701244c27619032ce8d6c23ec8aaa7c330267bd3065bc58fdd39b1","sha256:67623815259220238f4b51f6a4b0f2bc3f69e5cabce3cf62b80711f50b0d43ee"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000153","trajectory_id":"vlr-formal-v2-0000153-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a48521fba5eda6d285b2fcef308610a0ba69dd2f766eefdfa26d41cda4540165","candidate_id":"sha256:9234746f277a2eaaeb8ee5f7b8b7e70ed9c2ab670c48e30f38c682c412e91b4d","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (8, 4, 14, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:24be81c0c3eca0287f9e84c6e2b977ee20511339b71f89c3c30ce14a9a00376a"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:a835ac16ad6ffdf6e0480aac9f9e3caa9af7d6cac4cc240334d8e20e839889f6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 11, 14, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c04c6d3f35a8c06d3971c793542efa9d75a3e2c2c2bf1edbc7c65f6efd02abb8","rejected":{"artifact_digest":"sha256:424ed431e19529b85826788c5bdb1761ee4e71540397a18474dcbc383f4e48ea","candidate_id":"sha256:f1b8385b3da1aa005611513afdb93085bbad07c4ee6fea5ea518e1ce077f6890","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (8, 4, 2, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:88aa5d9b69fa8b22bb08b3e073a2d41e682edaa2f9f590a6a250f5c567fc470e"},"sample_id":"sha256:4400337aff5e146f10758dbb82f4a4bf9e72b7ca8c5ae375cacc5518f9fdc11d","source_transition_ids":["sha256:dd51048b9bce6c955fd5c959a49f1528744289631927e1e13cb3ab656e722d9b","sha256:2d551d9465e69c456dbe2a532aeafa23f9b1d9dd2e604998801efe8c42a50271"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000154","trajectory_id":"vlr-formal-v2-0000154-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2f48ed84b6994340bacac949cbcff330bfab7ab70cfc889aa1ffdce38389072f","candidate_id":"sha256:8f2f2016d5932ca71836f229d59dabb6ad09b24e46b073893019af8a98673877","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (8, 4, 2, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:820b02cf2205c9870dd33dda85efd1470d4c43be870bbd5915e707e9127c0e93"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:9234746f277a2eaaeb8ee5f7b8b7e70ed9c2ab670c48e30f38c682c412e91b4d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 4, 14, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a559336ed63189e748b407de1a61dc51a8e55ea6c444d130ca93b028d03f614d","rejected":{"artifact_digest":"sha256:a8d4ec7dff31329acbeae5556d14bc388777dfe4a82ad6b413489cd1bcb7768e","candidate_id":"sha256:6205c7026436475c9785b0b1b4dd6212c0b1b774a2b9c436daa24cd97ce96288","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (8, 8, 14, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d3cde0630565679e2147d1c28f6200853f67bfffc87a4845016771b8f61c1539"},"sample_id":"sha256:3ec20a03aea5d16237d8e6b50c363818d6a8dfd025d79771d18c489f0df601c2","source_transition_ids":["sha256:bd48a28123661a486c875e24d01088d616d44db791edf57a7cdca75f0f239832","sha256:55af2f81268e98cc1c8222875dd3bfcf60160f7f88d295c152cd83d7da45fded"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000154","trajectory_id":"vlr-formal-v2-0000154-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c4bd97328dd34d621adfc7595e4298a95d5ac74bb1ee8d828e3d9376240e8491","candidate_id":"sha256:6bf8e9dc2699b594e21818b2990c9c8410f8ad0245ff51172c082e0dfdc960b9","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (1, 4, 2, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b47bfab7c2576c703c69a3bacedea8112dcc1a5f3bf42dea428f7ea5c96ee349"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:8f2f2016d5932ca71836f229d59dabb6ad09b24e46b073893019af8a98673877","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 4, 2, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4e957249bfe9fac706bc7bc1badc028e92a8168538002f4555e682e31abc006c","rejected":{"artifact_digest":"sha256:2727b649b9252b5712b75577132b1d09e82f24742569c2a0f07bf4936448864e","candidate_id":"sha256:2a8ff7d5b05b644229a6bd2e8dfabc62aaad3d498eb0a68b91f8770a1ef9c0c9","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (8, 4, 7, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a027f3a867dabd2429de20734058f4223ba5de1cd0853e59ba828bd45170f2a6"},"sample_id":"sha256:5f7f206dfe8fee1f73b9a996373b7469e27abdf28a6ff4a52612053de6da82a9","source_transition_ids":["sha256:90199b7891889f530a41945e70424f9c2c2650a0ff0b2dfc0ac864a2122308ce","sha256:389f1fe6778513729f54469637f4c9c19aacf5b25367019930dc4bd88a59eeaa"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000154","trajectory_id":"vlr-formal-v2-0000154-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:92b8370015a0c748514f503756da32563fec25bc1583547ca2b3b7dec72a00ce","candidate_id":"sha256:5ee2909eca8ccf8b373e7f757e13e3152892eba84a18c039a0dba1922aa97871","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 3, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:50d5e3ae017858ce6637936c7b52a22a2d8decd2c9864a827fc7272ee9669de3"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:1bd860868ad943f804b1e2791d4557b47119bffe9a0b6a6a80e2a38018204be7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 3, 2, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7b457f6f32c78ad6b78bf6ab29ec46d94ae86a82d3a97f1c3c461d297abfdcff","rejected":{"artifact_digest":"sha256:3e311ca7094363943e9eab34d459c8b2e818919e3636853356a5f38aea1ee413","candidate_id":"sha256:2f47a069df22e18be204c9e376de91a9ee43cde7570835425a0d009bf0b8db73","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (3, 3, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:1c5bcdfe8a88191b1ed5d503c57b0315ac31a7c358db79c5bd903e28104e74de"},"sample_id":"sha256:7204a71805945d7822d3cd379c1bd06cbd51de5c87bbec5b7b27b83f6ff05949","source_transition_ids":["sha256:d317e34ddcc3fdbd5d7b4774ffc66381cc823ec1d0526ac2d03ff631f9cd20e0","sha256:4b496c26b2deb724bd62e55f00ac9ad4e1391b3eeb35c4a38f68248e016321fe"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000155","trajectory_id":"vlr-formal-v2-0000155-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:57380466b62fda981c79ca1a85e074799bd5f5297db53baeedc92462eb62b3bc","candidate_id":"sha256:da4a22275b0aa93a5e1fb689953aa4f335e29e57d8c55ebe9bb59a94a365734a","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 5, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c4bfb77f9c8f7a19b8b60928e5d62a6da73f5d1770e0ef6e0f75a4b62388e78d"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:5ee2909eca8ccf8b373e7f757e13e3152892eba84a18c039a0dba1922aa97871","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 3, 5, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2cc250656c52fb0760ee730071111b2bef2dfb02cd78f34883f0953618c8aea3","rejected":{"artifact_digest":"sha256:e5f253f503b614fd2af6db4b510dbc374df738e0c406be7197e24f1336c4dbaa","candidate_id":"sha256:99947b2b52bb99ca43ca82ba887ede98ced8c55caccbe9f3c05e0603ad5d699f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (3, 2, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:eedec8944a409a6f197ade6ce7a91462e9e79707dd7d5844537c0c71788c8ba3"},"sample_id":"sha256:c09edfdda3d9d8b51850aeaaaeafa1be9732277edd9dce2d8e6396b97cea181a","source_transition_ids":["sha256:a3e28e3008296d33eb011a27c72539f40955b5129bd8cf67f6b226f0e81486fc","sha256:0447611d86c983c27f3130e953f4c719c1ee657e7fb2ee0c33a43d00c9c21335"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000155","trajectory_id":"vlr-formal-v2-0000155-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dca7001649294a09c51fa02fa26ea041081a719f77b8fdf0237ea05a79664008","candidate_id":"sha256:ccbac558968ffce7cc38202f3765030ccabddfb93612f3a78618c9e19cb27743","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 8, 0, -4, -5, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4b3ea9c339ecc57bb81a3e2f96a6d7d94e692c6f329a954146d83781a8e2443e"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:f1a66a87448cc8972facabff35a316c644f624359e26c9e3bd11d1497a03752a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 8, 0, 2, -5, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:422f4d264e8ad398f0066cb954d8b1f345c1f7df8b7890f2ca6940f30cf688ca","rejected":{"artifact_digest":"sha256:8b3f43991ab91c337a4102d9dc9fcd8a423d4f4d0cd89176886b02a578192c98","candidate_id":"sha256:d457488a59981f66a047e5585bcd1c9d55b395a878e1388395a62570ea3521f9","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (7, 8, 0, 2, -5, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7529fd048e63ad8fdc627d6575419665249e3ea87b1e3dcfdf62fdc67181862a"},"sample_id":"sha256:1369f9ab61a2a11588c4e010eac30ec65f85c6195f66a757d8010b348eeed944","source_transition_ids":["sha256:797abea568ce5e1ddfdd9f2ec79363bb5f90ab63d8518da87a81a5fe297b5f24","sha256:8f8f1c9eb9a25e456936cf4cc958d0f0f39e2e8001236a016172f7aedb3379ea"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000156","trajectory_id":"vlr-formal-v2-0000156-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6f6113b54fd817f71ebb625dcbd7914542a807b2ba5daf6acc1bbfba7de40fca","candidate_id":"sha256:026f4ddf56d720649f555b4b95f604fa13f67a033e3e6b53a79d854a7da1bf2e","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (4, 8, 0, -4, -5, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d1a11418ccce79c443fe571e1a15eb765db13f3810e1fba6342c8c3638bb4d9f"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:ccbac558968ffce7cc38202f3765030ccabddfb93612f3a78618c9e19cb27743","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:36e2c455f69e86dcc64c0f292f570a9c837b27170f004391f0306a72700dbf3d","candidate_id":"sha256:515445f1c4a87091b0d4b790f12599baa3e8dc76f0de9c167a0550eb686a684a","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (4, 8, 4, -4, -5, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4486f02f67a415766805e36af563f5ea82617fba104c68b7d8081d3a565b95e9"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:026f4ddf56d720649f555b4b95f604fa13f67a033e3e6b53a79d854a7da1bf2e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:014278d67f2d95539881663f9a1d5a802e734b9e602a96d1d76c30a6e5f532b7","candidate_id":"sha256:f62c55a4748e07087fab202c3c5b55fc71342ca1f0cb12af97f044ed9d04681e","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (4, 8, 4, -4, -4, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:cf7ce9b19ae97fdc8f524183f4936321d726596430d652f22651ddb7a77c0846"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:515445f1c4a87091b0d4b790f12599baa3e8dc76f0de9c167a0550eb686a684a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (4, 8, 4, -4, -5, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:579beef69d21e3de82baf9b75726232d8acfd774b82a19a0803e19396af67ed5","rejected":{"artifact_digest":"sha256:5071232bf44473c93a16bff53adbdc5ed2e67a3aabce68f39fc49ef1c6c2cd56","candidate_id":"sha256:627f6267249b334ec04002a60ad877bc27e630121c024027c6ba1da4ed87c2ec","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (4, 8, 4, -4, -4, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c85affd60e54f193ecaa9af4c3fc469921e5c2f0dc85ce26bbc65f990ca9ee6f"},"sample_id":"sha256:8e4f8777d0b4464e5adc415a853ebce464e6a83715a4e07af4d979dccecfd0eb","source_transition_ids":["sha256:5d439ca945eb6ad27d229fb13eef1a005cfe7c8ddeb8790928267a0d74a7759d","sha256:5b91a7608e70d694bdeebd7ab1d33dd69432c9fc360f8d21eb5990a97c113bca"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000156","trajectory_id":"vlr-formal-v2-0000156-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4236f55c134e4431759bb3d294ec66d1e397aa13f320eefaf5f13a9e463ecf75","candidate_id":"sha256:5ae3bafc7098236e64c27ada2db47fe931ec142b9d0fde649aef5ffdcb62160f","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, 6, -7, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9450ee40f276d973758cdb7c5f2cd88b2be71037a62643b9eaef4a1b83e0d5ba"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:c332967bf9e953a137be1082f934fc57b7e34bc694d0c3fec4b35cc6df38f0f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, 6, -7, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4cdd0dd6ca50781c9706746357edb514e4d3533cce5bdfafb2e69825ae97028f","rejected":{"artifact_digest":"sha256:94c380c787aa6e36f5ac2acf48a2060e46a1b8eaaa2895e5a9118c6e1a73c227","candidate_id":"sha256:68138ce10a45cc37b767f2813c7bfb1d3901888517b33dabe30d785ca66f87ef","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, -5, -7, -3, 5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:41139e3725b2bddae4a49aca54eaa43f6e8b841664a6ac795686a882ffe0690c"},"sample_id":"sha256:5e7c93841e21746ea9e4d1180f2c8610f491f817c26a8fbcf5383c33b093461f","source_transition_ids":["sha256:6b86f2544a996978e6d159b22235fb779cd04aa15b3ff0e167d709e8771f0258","sha256:6b2ecbe6422f98bee74493466881124f70a9142212166d5d8e7679f84ced5d81"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000157","trajectory_id":"vlr-formal-v2-0000157-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1ec5778e64e5050af8c8c7e7000b8f3fa300a5ad7b14b890e2110f235d4ce4a0","candidate_id":"sha256:345eabd2b1381922746a08623994a2620a81d1caf6df10f432559a1ab75d6eef","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, -5, -7, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f31c7434530fdfdcac42a02ef90a084e9b92445482355cc6c35a6c422a86a18e"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:5ae3bafc7098236e64c27ada2db47fe931ec142b9d0fde649aef5ffdcb62160f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 6, -7, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6a7b297b942bc46b04a5dbc4fbde93f8889baa386e627241dea5c108cef075b9","rejected":{"artifact_digest":"sha256:b4dfc58a072ef6a49151a0ac8c4cad7b8c33d6c1f63a990a1c3f32c0e5e940dc","candidate_id":"sha256:26c9e113094d97dbfa19940b243d5f3b35af0eef5f521a17480a52f34a18ce07","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (6, -6, -7, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d6adf83bdb78309950b75a8d8cda7c7eb42e9fe3f3aea77fa40a6a76ade6e28f"},"sample_id":"sha256:63484271d52d4cd1286a0be0c80a49b589a7f517ed426852befda9a5490bd55a","source_transition_ids":["sha256:8e274b2ba6643e38fbbb8ae5742137182cb58672822455393bcb5d289cbe1547","sha256:f441b689ef7d68115a4aa8ef828ad9fc7ede9764fffcc2e1ca916ca181d2adb2"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000157","trajectory_id":"vlr-formal-v2-0000157-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f73b37d0908dc283376720c1e3e7ba8916dfe07886acf19ac6b965d9037ed9d4","candidate_id":"sha256:50725991f4a01fce70962804a10195d89e6ca5931b03bd81958e222c27bc3609","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-8)\n","verification_digest":"sha256:ab8330bdef5485eb00a48f01c3e47ecc451b988ab49989e33f857642db4b33ed"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:83fc21c69523af69e201c6654f899be69d472fc1fbf19b1267195715051fb87d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-6)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2f795631d58c3d4a68c8aa649f54e7e8b480a930d3e70f2a0b3c1c4767bb0d25","rejected":{"artifact_digest":"sha256:fd20a377fc5d4c67cc844c27766357883ad5cc390b9298bc4a65ce1931211fac","candidate_id":"sha256:29d4151305d668f48c60678cd88c614ff6de71d9da69d5abdeea03e4e87cd2a2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (5)\n","verification_digest":"sha256:491cd1091ca6530ff22ccf3cbecd08c5c3ad988a77ba8a8ce656d8b583d01897"},"sample_id":"sha256:8fa701e0969cf741263a29bda6c8a8ee1dafa9dbfe7350f38394dc46157fff8d","source_transition_ids":["sha256:60be2d1aac74a3d1ddc7afe3b28e629ea3d88a5f4885ad839452af0d29264f4a","sha256:92d6cf47b853545053b7b17255354418716d700118e60db51881e826cc92e62f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000160","trajectory_id":"vlr-formal-v2-0000160-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1754c199e58d104df491b4c4019e3c19fdcc329f4906c47fffcb2f524043ac4c","candidate_id":"sha256:617687a4eac900f5b3b3775c08ae4e56c482fd87764af2fcfb585eca8dc86429","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-8)\n","verification_digest":"sha256:934861bc2137705111d8e1c6d5bcdb3e807b05dbcbc62d2f087f993b45a78549"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:50725991f4a01fce70962804a10195d89e6ca5931b03bd81958e222c27bc3609","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:efc7fbcdfb453ff05edc64a51a36fe535536ede3d89ba9d5cb99536f47144d4c","rejected":{"artifact_digest":"sha256:aaf1130c410aafb5221a265317725862a30ecb8890ea41f21fd2577deed7c259","candidate_id":"sha256:3b349b17577eb6ea3d83b9ab5564e208c910f689f293bb10f0b9ab8bc1e9e803","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-8)\n","verification_digest":"sha256:6e3afb07b60087da4e6d398bd8cdd146ec5fcc8b4a0071ce47982d28bde10f0b"},"sample_id":"sha256:d95a4d6e329ff9f300428e969da8b8eab81d8bd6117c9bdde3fd25f8fb5b459d","source_transition_ids":["sha256:e10da54562027c4b27fbc5f5334141e93244e036ad2c832f6495a2d39dc949b6","sha256:0c768e36c3cc03ee58db6dd5251dfaf0bcbf6bc69c8f825a91550a456681da33"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000160","trajectory_id":"vlr-formal-v2-0000160-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2982ccd89e83fd239f29d443b95744ea10332c63840af495dafa27f8639b645c","candidate_id":"sha256:24f0a38fec92c7b036af45e95cb92aba474d92f176cb6193ed802cbd7307613c","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-4)\n    return x + (-8)\n","verification_digest":"sha256:f91fb1fa70f237d551e67d9d98db30d0042a01efcfaa0d2b7f3e6970dda82641"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:617687a4eac900f5b3b3775c08ae4e56c482fd87764af2fcfb585eca8dc86429","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6d1d7306904b805053024ecee92c18203c3fc4ba47f511199048288dbb7f964e","rejected":{"artifact_digest":"sha256:922749a4f28e8e6e3319ef57c5ed8a21e2fd0b6dafeb9cf87d652356685e2de4","candidate_id":"sha256:0e4c07ed4f4c4c3ef3a1722bfdf96b95650d81df375c4e31e4f432ba8cd6acb3","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-5)\n    return x + (2)\n","verification_digest":"sha256:f5e171d7756538d0c4ec090df1e694aed6e7ce6bff40254de842b14bc5af5646"},"sample_id":"sha256:94e5d258679521754ef04517753342c1c8685a0096d478a3341a3be628f468ab","source_transition_ids":["sha256:fd9aa5cd42f4c605163f18dac40b7d2706aff7ed1125f0da7d3181592f239825","sha256:c09b389a2369e04c8bd10de0533cd22ab72fdddb1725e42b44771a0942ad8c44"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000160","trajectory_id":"vlr-formal-v2-0000160-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c59b51f0145085a9a6a125d6a05a873927d509f774a40c8f062abc13adde67cc","candidate_id":"sha256:f6dfbf91b8919af7323c3e8896958576e741bfa62f909d01b02af54fe88e2216","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-5)\n    return x + (-8)\n","verification_digest":"sha256:9976b50ba3240b5ba6b0e7ea956c0011f299b5bc9555cc3b3c1ff2bc38a6e142"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:24f0a38fec92c7b036af45e95cb92aba474d92f176cb6193ed802cbd7307613c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-4)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:20ecaac132779e91978e9a0311065646359f6b75f6a74e7a6968581d67507a69","rejected":{"artifact_digest":"sha256:15b56356e700159f46bf4b5491875d492b9b4ae3d9b28baa0de550c350b13fa3","candidate_id":"sha256:193d067b7eec37da4330e7860d4cc83e8fc0deee84c1a838377ef7998c3a5d55","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-2)\n    return x + (-8)\n","verification_digest":"sha256:a7fd3d6fa2e0035a04ae0a39579638c2c3a352efabcc92db14613111911d4fdf"},"sample_id":"sha256:11cdcf1adb1591b44917c17977047150bd208259fddd1331cdf23dae6466bd69","source_transition_ids":["sha256:a6e37ecd6b04e973068e04073614b91e2145e02d50c9696ed9c057e7c517bf26","sha256:03aa2a92008314a5e2c8a018e4ccaa5e5ba05d66c8ca1f8a59d0dc00b3148637"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000160","trajectory_id":"vlr-formal-v2-0000160-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4115481f0af3e6d3fe1f8f4d88e0ec3077db3fcbcd0a6ea441ec0f5eea2b7a5d","candidate_id":"sha256:e767599ed3c2da0e0e282615dd59f22fc82b0cf08e4fdebab81bb630e8355506","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, -5, 4, -3, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b9148dbf80b1895cf2e80ae0a18d0cc5fbaeb06e83df387d6373a4bdbd99fa0a"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:8dcc4fcbec2bc68a42de3599ce64eae4165a46f0eef85def039116a1bc35ced2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, -5, 4, 9, 6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:04d7f7a2ca563b0d08da6fc3e5e071f3197b4dca8deaf52db557ff51dbfeacc3","rejected":{"artifact_digest":"sha256:b87d7a3dda7890135f384bc922f993634b4792db43a2223e7e52f245fda27426","candidate_id":"sha256:b39af7e9d65e922d04570ee6de13f26540a36af89f1afdf774d8ee6605eac3e1","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, -5, 4, 9, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d2f4e4562f0f0cbff22785aa412e2d9296ef6af7a4b1b3eb2b8399b45653f9ca"},"sample_id":"sha256:42fe5cb3a530b62bced939b0f9d23f1c40f9a50ca04c918fd02a1125b1a0b140","source_transition_ids":["sha256:22ba8a04ade14afc33a10897d94fe09c9a7db1543dd9bc2bb5f6bc02b52faa1b","sha256:967c9841622a80c7c1f0cef7a3e110ee4540c1998ccc891406e4f10eb6e5ca96"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000161","trajectory_id":"vlr-formal-v2-0000161-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8981589bc61f05a7f3e8bca11a9f13b41d6c3c97e0a11d4c1dc3c20d38acc94c","candidate_id":"sha256:665099b57bee1125fda05725a1a79804351c77caf0f7fab06fa6a754f7033ee2","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 4, 4, -3, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3280585aef5c6654e6bf098e7c89b84aea475c218e758936ab7a91fde4696db6"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:e767599ed3c2da0e0e282615dd59f22fc82b0cf08e4fdebab81bb630e8355506","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, -5, 4, -3, 6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1cb6ff77a82ef452b4b35ab060d5aa93f6cf0209cc1a8ebfdf6ed50da9bcf102","rejected":{"artifact_digest":"sha256:082c4e651bda7c1b7be3714f345ead06037c8b49d3701d27ad8442dcda304006","candidate_id":"sha256:3003016ebbebcff3aaa35d8eb6857f4898a0a8cf05fb19b785deb21d09c21770","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-9, -5, 4, -3, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:60b00b96be6aa251288cdecb279c0212b333c6771807c163c8821f7fabcddbd4"},"sample_id":"sha256:e66cc3f03cc527d1767cc92f26020501ee551f9f71b15c34a369ed885e89a365","source_transition_ids":["sha256:ff3e637929f19296c17f1c4f76e0b49ebf064e6358de7b6fe680a629eb2e67c7","sha256:85d1086f89ae1df3e4bea99e1c13ac4945df86d996eb4fd8b3fa0e2be047bf09"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000161","trajectory_id":"vlr-formal-v2-0000161-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c8c6a691d3fbfe9a89f653e3d3cac3861e3c085d5a43d536105c438c69a21146","candidate_id":"sha256:80c90bb573c9626989a3ac231cb27d3f66d2ae8ea3070e040bc50f7a6157f9ea","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 4, 0, -3, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4f83d8498d1dbb9d89f8f7ef2fe70ffd8313b82334cd1784231a700eeef554b5"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:665099b57bee1125fda05725a1a79804351c77caf0f7fab06fa6a754f7033ee2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 4, 4, -3, 6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:02b0d327fc8eeb57c555f737a413fc5a3b7028b22c2c78e26597b77ec476ae29","rejected":{"artifact_digest":"sha256:a6e74bbb2c39ca860977373c89348983aa9c650754ea6b3ab906a70ca3147c17","candidate_id":"sha256:57f2f7a81603a895251ffc2e81a1e696d144dec189edbad48cc6dd68e9b7a973","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (9, 4, 0, -5, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0be4b449208ea34e83f896956ae5b0aa3b054f0750111b44ef63a2395a952345"},"sample_id":"sha256:2595c4cc5736a1f671fcd7ea7b08e8680a65c31b8c12840db00e9b5a89f1ecc2","source_transition_ids":["sha256:8a2f9369cb54e3d2b2ba9108954936ebd3288bed74d6dba48a9dcc49a56d5086","sha256:b5de5ac41c373a1d2eb5f0da41f78ff06ed5d08e1f02a9a23263f68dd495ed00"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000161","trajectory_id":"vlr-formal-v2-0000161-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:effcae8d2878fe6afd1188abd5c6ec493ef2ff52aed69b18d03c103e1b6b6462","candidate_id":"sha256:0e1b19ea1e1f72b66dc1e02918179c16b3a591bb42f4470438080b96be17d61e","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, 7, 4, -6, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:793acefced54f816b8e192e65728fa4bc0303f0699ad5e2ff016dddd12662e0a"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:1291fa16e4dd02528fd9163e3d0d184bf0f135ebf43e012f475d04dac6f62343","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 7, -7, -6, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0ddd20a395d2d2d5659582107955b8d6fd4fe5c22b236c8b8171338d06d0529c","rejected":{"artifact_digest":"sha256:77a83070c665b4f18f00459981d82760dad53140e768373175e60aa55b33e5db","candidate_id":"sha256:0fd495412601962ea453fca059933ec2c012fa2eff94906302c39e62b0fe1d24","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-1, 7, -7, -4, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:85f24125f611ec81c9fb404784b5b02222bf16f9dfc3c6aa10c0f1f1317f9ca5"},"sample_id":"sha256:99cefd73abc8390035caf36dcd25d0d54d77e750b8b2a4a6a682f682bc828249","source_transition_ids":["sha256:d6506f35b25d8b7b129a5a644f36c691f21258f650a7dfc5cd1e697739e8f8fb","sha256:201e48a923b3ea233e9ca8248fa184b4e0e7e5b8e33714d8b898062e1e9bbcdf"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000162","trajectory_id":"vlr-formal-v2-0000162-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5cddb2db42948f746b070d1f90538198592ceaf79933214f239c3c862f415a3e","candidate_id":"sha256:c056c85ef4b90dc92ee1145ab23720b839315081f183e63eea7887d21539d5f9","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, 7, 4, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d332fb62627a8b25ee1e695c3cd4ae023a68f9fb139ac617b9c67b5c3a66becd"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:0e1b19ea1e1f72b66dc1e02918179c16b3a591bb42f4470438080b96be17d61e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 7, 4, -6, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cdfdfc9c68fc8f67f60b1e411d028734402dbd94f0e4335ae9d3382e339df776","rejected":{"artifact_digest":"sha256:2b56722342b7f09ba96d3221a6b82d00bfcbda6915a88327ee6d1c8b69eb3577","candidate_id":"sha256:fac629b7090dfab5580313dd0a5f6794c2cafa782df69efcf75a5d260171589f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-1, 7, 4, 4, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c75ee7011076459e5bdaf34f79f32284d4273a63c8902d4e9eaf0ac3bd5b2abc"},"sample_id":"sha256:e1bc24ed3508c00a2048fbeec54f74d03d896b8831d8bf0c811e0472605252c7","source_transition_ids":["sha256:e8361415afe2bb49d3b4d37877eaf0b5b3e317bd33defbf7497c6744fd5cea33","sha256:68edb3e24ec3fba2033d241650644158f6635c699d179ec4da7ad2d2fc2b12cf"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000162","trajectory_id":"vlr-formal-v2-0000162-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0385fe8fa740460b19e29342db9d705abfa5cb110eb232cb28f29070d4353108","candidate_id":"sha256:029f5429f9d63395d5ec1f2d1716e8ae635d450f4ebdb7e17754b998cfbdc49c","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, -3, 4, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:48e038ffcf3658b9a7c69096aa40efc130a4203ae5ebbc212627896ae3de04d5"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:c056c85ef4b90dc92ee1145ab23720b839315081f183e63eea7887d21539d5f9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 7, 4, -6, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:826ee17a270e7ea883e4b5923c3f90fa1bddacae6346ea3dcdaf84950530cede","rejected":{"artifact_digest":"sha256:ee9f8bb7bb0046c00bff2d85f29c61142ac19a419da24b3eb9aa2148f3450fe3","candidate_id":"sha256:379a181f89461b18e55f00799c7c95fe80c3a46c933c2d6c2fda95253f50c65d","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-1, 7, 4, -6, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:7960336a4c9c64671d57cb88a769dae19188acb5ef03c6e15df6a00173ab41c7"},"sample_id":"sha256:09a59a9e02af6d493e18b1720ed0981820842f817708f6138c63019c2f1d440a","source_transition_ids":["sha256:a22c6a84c9277b6d8c083d620f427ed7b6cde66f6c55ede6e3b866200c1dbae1","sha256:f90e37a223eb157554607826bdac1ce0a16d24d9f3db128e3d15bf05aebab321"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000162","trajectory_id":"vlr-formal-v2-0000162-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d3311edc502a5267aed97fffe098b5515bd28122dde67b3b88df7b5dcfd821ec","candidate_id":"sha256:ae1d2fde22de7b87aea5cb90b032e2f4fae23c7a2bd0bc1e1fa378568a761f72","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-4, -3, 4, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:3436564101a4c35c18804042155615a36e5e9f8e8f7e5f821b0ae2319917c953"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:029f5429f9d63395d5ec1f2d1716e8ae635d450f4ebdb7e17754b998cfbdc49c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, -3, 4, -6, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7553e085be7d289540470b79a0138442f2fc442a6503283c33afc47edc03ad2f","rejected":{"artifact_digest":"sha256:460f0da285f282229015b166ba67512be256afe4c56ff9b11d4648027b4abb3f","candidate_id":"sha256:27dc9812f246b4dfdb68da51163d73bd2d9e36d7b35c21a1acbd4499a5e4587c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (5, -3, 4, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d43fe2882841f85102ad315b528d3336d7546f1709f60c5f395398066f108d66"},"sample_id":"sha256:30ff1afd6b655c12161ce0ebc071e92db09ea01137d0b65402f36b99f1f2caa5","source_transition_ids":["sha256:1b07c7be178971fb6499d537541657ef9a89013bcd46191db4af95c60057e07f","sha256:02e26608da36d854b06e1382d0af417f879862a2b1323af47281da6ac8554ef8"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000162","trajectory_id":"vlr-formal-v2-0000162-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:01af26c750e2a289d4d539308bf4b1650699bb16c10f817a97e474c743f6fc07","candidate_id":"sha256:095db9e222b30fa1bbc3db72b8873f567d8a1dd78401c7fc09327070c0c9a8f8","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 8, 5, 1, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c730c257bcb1f4bc1dd2f6f3f60ca0a138f60a4fa67455b196b58db8269254f1"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:89abfa61895606a02574ef46a560f7b29b91a490eaa42164d28ccf4d1a3e29e4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 8, 5, 1, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cabca467c9749e2eaf2358a4d27e22c9583fc4c57a6e2f02246f381cdbcf4886","rejected":{"artifact_digest":"sha256:0a3367c19ccf7a07af9c1eb9ea0e0227de4c669129337b0bfa36ec29ea74790f","candidate_id":"sha256:d87f699d96d9e1d53860f5a8fa1175bb3a498d0554613cbf5a162347a1cb5ad2","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (2, 1, 7, 1, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8aebf57ce17fd12b1f410433aa1e49b4220a52639efc1bc72ba3808b75452266"},"sample_id":"sha256:3ef5a43dc58b71cce7274002eacc087955fc3a72fc4a66d93d34ea075255a0cc","source_transition_ids":["sha256:731112abc68e46b12f28277a220b1759b2b0fdd9e3431d9acc9a2c76ee0e8da8","sha256:0d1e2ce92b9223f41a4c6d71301a1a848e3c82fc9f53e03842d24986ba2bae82"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000163","trajectory_id":"vlr-formal-v2-0000163-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d8d1cbf136378299234dbc325e6a80b3fded027d945fa4961d3f6ee7d872a170","candidate_id":"sha256:2fde46f7064168fac1ee155459a68006369d0ef60dc473e891155fdf5f4d2fb7","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 8, 7, 1, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:309cd8bc32eb835d0429f0b81945ab2b4ac736cbbf43a91d1f4a3c740b786845"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:095db9e222b30fa1bbc3db72b8873f567d8a1dd78401c7fc09327070c0c9a8f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 8, 5, 1, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2396d83d2846679830c53e960f585d8b3d78cd8b1577a18c944dcba0068d4e2d","rejected":{"artifact_digest":"sha256:d6d69f0b14b0f960b7db6d33ab3d47b8cc06fc700978363d95f2d50e889216ac","candidate_id":"sha256:fb237f7e75de414a98b71c425068a35dcc68261f8dd9c201b258d52f5dcffc0b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (2, 8, 2, 1, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:55bf4ea12ff47fd6db2d05468992baf9b8fe01231420a292369cbe5c85870f59"},"sample_id":"sha256:c57868a392a51b62b720f3138c9ad29750755f6bf427a86dee2afaf39ffa78e2","source_transition_ids":["sha256:873fa2068f87c13a9de4c8dd840ac96794fd438abd4ce7eb9e565211a3b8ea22","sha256:304ee9efeac898847939fd8155c71efb570fe240920073847ba5709875afb8fa"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000163","trajectory_id":"vlr-formal-v2-0000163-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e6389e8e847534276eb7d83657dd5891e98d21a35da5830edfce77189b33e1de","candidate_id":"sha256:5cd9e78ec3e8d2c7683b4a10a60374562977d0248356c9f1c256818b5567b026","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (10, 11, 1, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0952a60c7d3a7dd6c899fc955f95e2c337697e28f86cee3a513f2b8961a70f60"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:fff081f205a5e555b0a7eda2f363a1340b6de4fb9da5a6129eaf1a31bd0d1868","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 9, 1, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:02bf6700f09ef5485bbb5b7c76c5260ce59988f4f962fd080c5209586bb1029e","rejected":{"artifact_digest":"sha256:11f3b34ee466830e185bf347a2f681e895ea696af87b493fa2213d4466b67832","candidate_id":"sha256:eeca03350aec8e94f99e40f32772243048aab087cb1fb1fbded270529a7306a3","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (15, 11, 1, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:73d6a424067f6301519e32f170e0063946f00540dcf03634f054c7e0619ebcbf"},"sample_id":"sha256:d09fdff330d018b2e282796d3073c46fdbd20c1388370385674ea41d18db72ba","source_transition_ids":["sha256:6fa182117565de75739e508a3e9c2b7e63b83c88555d74dd5118158c5d7456f1","sha256:7df7930f6bf12c0cc744bae5dc6fabefbd886bff4ff8a638b8fa9b259ce29d54"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000164","trajectory_id":"vlr-formal-v2-0000164-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e3ad05f9fe715adb409d183fabe69906fe9ae7e1213f93cc071895346e4e0db6","candidate_id":"sha256:e4f3c1e77ca911be08dee657807c51631820de7315e7c249b2f8814cd40497e1","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (10, 11, 10, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f69df279c884cfe618fbb1ce37a8afa6d5cb19ab0126a9ae00037382af1d877b"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:5cd9e78ec3e8d2c7683b4a10a60374562977d0248356c9f1c256818b5567b026","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 11, 1, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3e6431f529f5407ff9532563c63c8c10ea94e26ccfedbeeb5e8421fc764bd132","rejected":{"artifact_digest":"sha256:6919891fa8e64ffd5687e824a25d4a6226fe9dec945a1039b7c6becef0c70145","candidate_id":"sha256:e7bacd4dc72b36be94ebd28f9b191a7c765a51d32744a97b17d6b9ff5fdabc21","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (7, 11, 1, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d2c4ba3491b350d22def504ee91ce377a4cf7916886b1e65adf3f261bfdba46d"},"sample_id":"sha256:0af7ac3ce36f6ca6f8e6b1b7be03a82c721757c3b7b3a4e9e0f64cafe7a4a8c1","source_transition_ids":["sha256:a0d71a56be170d2d157da2a2a05b51aba30ff385238201dd11d31bee429c192a","sha256:57c0841cb6f480a8915329b3f0641134ae2ad9a54b77f9c643af36af4afacd62"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000164","trajectory_id":"vlr-formal-v2-0000164-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1d6e539dbaad22b0ca482e364e7ce897d04f79f4571d87ff30bc1f9e0aec3152","candidate_id":"sha256:e17dec09bedca696bd9796e2bed50f7b9d3b8b0d5fcfcfd18488e631d4449d34","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (10, 11, 10, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4333172c1b32abd1fdbc0fa0ca111f54589ead1b891d10e898748a0d52aeff04"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:e4f3c1e77ca911be08dee657807c51631820de7315e7c249b2f8814cd40497e1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 11, 10, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fe33bb2229ea04ca4c246558ad134e2596c6b6b449cbd4f4d832ef0a02da6f88","rejected":{"artifact_digest":"sha256:43d467a40313c58b669831c68d495d76e3e55d98e5ec9de244a805ba06caaef3","candidate_id":"sha256:8caa410c6025139dd1f68c0e8b6a83afb4b1004fc6d497cedbd3b19a52ff9de4","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (10, 4, 10, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1d29572b5d6443913ce2662dab7c8744b53121335a90844b95886e2f475a6fc6"},"sample_id":"sha256:5d4fb5c6ae728b302d9e9d2bfe2d9c76f71ec2ffaef79c9e30160f718f8eadea","source_transition_ids":["sha256:76fc76e909716b5ba7a9a695b52cc850a014d8d2daaf22972302251e851566c6","sha256:1fa4ddceeb8b3968ab62b2313a632e8f4b13c7016fd6ea06a8773c1c0d8f51c9"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000164","trajectory_id":"vlr-formal-v2-0000164-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d7a210e54813485bff8ac4abf73c3ebd4c163bbaf9d780f160c1d6a41b1a751a","candidate_id":"sha256:378ec0ae5f5bd68d0b2f475c72c4acd3d5934660b38a50de887074b2106131ad","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:929425e1104a625559dffed4b15797e160ea726197f13f724b8d425336ebefd2"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:97bff43fe523693e62c5e6fb90e4a826b06ed2e9864398974d993148b035507f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fc459007438c46ce71f941744c2af6833e7f9c5a3028c5d2eabe48150a3f4095","rejected":{"artifact_digest":"sha256:fa30072f6d549064aae71dad644dfb20588d3f7addcafc3c7b004eab1fce8ad2","candidate_id":"sha256:916ea351b979fd939e06b0013c49425deb6f0e57f8684b922e1304c70cd805ec","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6b09fb23b018216bb9bfbf6b84d6e696da9dfbccbb10059d8c7599377bc82301"},"sample_id":"sha256:e5ac153982f6fe82343286af51b101af6e8b3ba1beed25a8f26541817c43b38b","source_transition_ids":["sha256:4c0efc699e0cdd101280a1ba7412d663755fee7918fdfa6031a885c9b8817f72","sha256:8f3c405a783f46ffabd1552b81d4dc6670a206d4669ac21e3da58c4cfa00927c"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000165","trajectory_id":"vlr-formal-v2-0000165-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c4986e31fdc665a7c3b462744dce33b6e82ad6824f3feb77903c4f3911f7218e","candidate_id":"sha256:52f47aa2c8d49aba76a23c0982e32e569f63773ea34ca0219fc4ecfd4110bd72","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 2, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4900a966c18bdb350a0b39908dfa8a7b3141ff9a1562e8f0184b65bc7e5d63ba"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:378ec0ae5f5bd68d0b2f475c72c4acd3d5934660b38a50de887074b2106131ad","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0b7ab477897423511ae5f466d649b0af2b0f3bdccd2d004014c780ce8ba26e84","rejected":{"artifact_digest":"sha256:0cc66ef1bdce9737dd0a467be39224bc5bd2b7c85f9fb01f688a7e32cb7d8148","candidate_id":"sha256:97bff43fe523693e62c5e6fb90e4a826b06ed2e9864398974d993148b035507f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f35288c40108c711ecde396c1c1daf57d1556c70336e2b08e8ec398e3bfb6bf0"},"sample_id":"sha256:059fda03cd39a021ff618f2b737fed84e6acd8bb3c1d287dbcc781d88c07df2f","source_transition_ids":["sha256:8b1112ca933f135b71a210797510adbf4652f09fb7fca8487e1918692a475806","sha256:d01858913d5618862a54532f97d71d045d31240a9adde6d255597873528653ec"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000165","trajectory_id":"vlr-formal-v2-0000165-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1699030f293d4efe2cc523c9ab74b8c02cb4dd9f62e5ffc2958c8083f4af4755","candidate_id":"sha256:dbe8a4c7be36db2b8780f273026ad0c46fff3aa39aad46ed15353f949a51ab61","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8295a06dd0262eb8beddd506ecd2cffa42c85567de842b1d11a35bb8542e867f"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:52f47aa2c8d49aba76a23c0982e32e569f63773ea34ca0219fc4ecfd4110bd72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 2, 5, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e21da61ab0d3e654e834d1c1af418f2ab8472665d0efe0240d4b77b97ef707c9","rejected":{"artifact_digest":"sha256:413974567a8d9b49d8ae6d0c02d18c3d20a2519ee54a9868041ed0e795966338","candidate_id":"sha256:0e18b0f0117e0f0b91c03a157db1f87b9b2f5aa3fa1a01aa863d1a94096da674","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 2, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b687da8bf17d98bc2a8330f93eab94ace0ff2c5ca13487cb00973accb9005372"},"sample_id":"sha256:7a85c0d36a750edb94e1395482931d2f26b2b31412d540b749930b08f99598fd","source_transition_ids":["sha256:7022e914501a0fb4ffd5f3be7d83e434b809948a83ae480fb7fef97c529f200f","sha256:77bf25b2c8dbdd37346ef44879df4a0da5b5e10b2025259633563fc6b7517e75"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000165","trajectory_id":"vlr-formal-v2-0000165-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c695057dffa3af61bcced23e078566efcf62b9e42a4d401bab560ca747eedece","candidate_id":"sha256:9b752488671f23f6786b3c5acfa74581ed6c338c30924280aa22c1042d3e9124","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 5, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a6780be488887acfdccf76ff19ce1a0822cd1da58a16b70e3a80aeb16dc709db"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:dbe8a4c7be36db2b8780f273026ad0c46fff3aa39aad46ed15353f949a51ab61","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 5, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c8f88c359632894c10768889b7dbc05f4aba48eac4c78eb61d8591a3ac54f690","rejected":{"artifact_digest":"sha256:6126062fd80121b41a08a1bc7b068b297f838142d54608f4277042cac233d961","candidate_id":"sha256:cab68a5898d64b62f8e1d3b92a43339a178e0e9319c7743602a2b0d57f323f85","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (6, 4, 5, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:bf58d3248acbb16563147a1ca77f3f6da3193ac1f8604f36383778856deea25f"},"sample_id":"sha256:b9b704ab2ab50b810b6574d7d0500e60d16b3202957bb6a1359dac97b8d23157","source_transition_ids":["sha256:be04d1ac205217a3b4345ee146b450f980b1209879bebfc565b0100be28bcee6","sha256:c080d2c81df8a4677752836905747ac7f7136e899325b1196a7805de2e920550"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000165","trajectory_id":"vlr-formal-v2-0000165-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:443b9b645877bab54c725aa8f1392896d48f34c301ec12d5b63b3b3cc91b811b","candidate_id":"sha256:a61f8f8e139fa0f445e680467cd7322623ded5844779e83255df7f4b352db06d","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, -1, -5, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ffa0effc65bf1e73fdceae41086a1e9a86d73cf2246f75cf4a97a349a4aaa00a"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:b1fef757785f1006c2ff92db2e6e5d521fea52e94a9e2dea8b1f68679063adae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -1, -1, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:003a0e474765a15361b44db655f782e8cc1498b9e224140aaf2e08ac91c54a3f","rejected":{"artifact_digest":"sha256:60af33553573a94199835ee9ed97872a2d89f66b903f2357fc2d3f9a0969e8c0","candidate_id":"sha256:ffeffd4e8924c2f8f77766408d93dc9971deb4d81b65ed9e569a0de18fc1fd5f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-4, -1, 7, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:80c1bf886ad78880898645b967558cb677b3b74a2f5a2cffb275487b85583ba3"},"sample_id":"sha256:22a77c72eae83bfdae5b8d04f3c5e7a1c510a68ec89401d1fcf07db818d11a6d","source_transition_ids":["sha256:c9d02150b783de31c1c7294191030405ec17e09c2d407f401773e8dcc2d3043f","sha256:76c04b3fa31a9c2d98fe782ea4567b4ba5d61cc865c24efab679aa140adca132"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000167","trajectory_id":"vlr-formal-v2-0000167-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f5c2d6f9a07d74e918742907103d7f51bbd60db7c68149e5b1570baaab8f74ae","candidate_id":"sha256:d621099acecda9ad50fd0e804618822be393a0393ea2d45b83d90a11f9dc8c1f","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (8, -1, -5, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1876bf20531835257f4d7e97bc75dfd382a3cb68dccf6100ee7e352bf6dd6411"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:a61f8f8e139fa0f445e680467cd7322623ded5844779e83255df7f4b352db06d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -1, -5, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b90d6183b59dca7aa91396160238b41d45a4611c59243e610831f899bc80c2d4","rejected":{"artifact_digest":"sha256:4ca29e6e5975f723ab9d84245ac53d273d3cefb8429edabe407fe8cdcf538bda","candidate_id":"sha256:1144c1e8764ae42bc830736878215a4df77e2aa8e2e7f418682616ea52519dde","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-4, -1, -5, 5, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5d41eae9c75c4c8e26c4738833e31eb00fa00904b07ef7fcce72ce25b38fa6fe"},"sample_id":"sha256:9d7ac199ba7457e919f35000e9dbfccfcea7148ca76a7f21bc95435318cc3f21","source_transition_ids":["sha256:3e23c6c7ddadc8106a345c9f15ccc0f29554757ce6b9af171505561e3ea9b3ad","sha256:2e65608908d3efddb665cab494afba4b9185e150980a44bf5f54f7437a54d95a"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000167","trajectory_id":"vlr-formal-v2-0000167-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:680c43bda26bad2aba79ff80f8ac3f58272e2f9df273930e622c6eed8ea61732","candidate_id":"sha256:483f2526e33aac5fcc4aabe58b24a1615bd7fa6c29d63e645193130369b3fcfa","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (8, 3, -5, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0be563901575b4601e130443f2dcd2639ac963832ac9ce29201ebeca5b1ef644"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:d621099acecda9ad50fd0e804618822be393a0393ea2d45b83d90a11f9dc8c1f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, -1, -5, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cd5f425dcbc8f663a51d8d943f767e49595983a0d5eb7caa776115431d816889","rejected":{"artifact_digest":"sha256:4123f80517fbf9825d6742d446226d8a08d132ac617b5e9cd8f8d47634ced7ec","candidate_id":"sha256:5f5f9454a81b54e02b63528c44e5b5f38e8e8dbc6da347decc70d65ea5260604","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (8, 3, -5, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ecd086da25939dc2ec0431f512c27ee69bca29662d4f934b98bdf3e7f6d70da7"},"sample_id":"sha256:5783747dc02d5d6f8767e5b6f49476b25a05bb82defe3f64dd9de1917dfaccb5","source_transition_ids":["sha256:dfd173f87343dc5eb8882225d7c3c687942226393884840484bd9cdde0318c5f","sha256:995f7c83c9a6ed99cf7f5d83a569eb9e4af31b150672f990b25dc6a4528bd95c"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000167","trajectory_id":"vlr-formal-v2-0000167-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:692db4217c714f97cbaac3e955cf2fa3d3d363513fb89cce10d033573933cd70","candidate_id":"sha256:51e1514cc751921130e8beaba8b022b36a3c8cec190ab3d6b5320df6d1b618c7","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-2)\n    return x + (3)\n","verification_digest":"sha256:138e55959f7ba94c7c95a5e20b30b51626756f222c626f23675f8ccbd9f729f5"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:64601e69007e2a38da8070e33f90215cfa0ce279ca4f76ed0e7618b5a2a60e16","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": -10}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-2)\n    return x + (3)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c5bfa403674750eec2387b8feb5020750400a55a24153119f7e3597fbe6ec20c","rejected":{"artifact_digest":"sha256:a8ce541c1d5e1156de92e1f330a26db0d88c0fd61d853da8977695c530f3758d","candidate_id":"sha256:5b4f6f229fe8ca99956b00fbf1f0abc033bee3a1fcc92d6596c2bdf65e6e6c1b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-2)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-2)\n    return x + (3)\n","verification_digest":"sha256:21653f7c9042d9649024a9413d0545e90e9f5beb65de7e4219d7b7575d310f95"},"sample_id":"sha256:8ff3e7088accb1378525bd383e0609ea46dfb31acf294ddf2944d67d8660c3b3","source_transition_ids":["sha256:925076162fd454b1aba9e66edd6a119bcb5b5ee4d80923a1de98c99886973836","sha256:20d2a8a0bd952e3b2a6f56957a344d57d5bde0a501b8d6eb9ba160a7e51d3829"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000170","trajectory_id":"vlr-formal-v2-0000170-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:10880cb7ef098b2b53a9acd8a4de91426fa2a250e90ef7376d6d1f29291a5270","candidate_id":"sha256:f567e44a7e70c5b205828676d5e422db3b9719e15e98d926b4461313064f1b1d","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-6)\n    return x + (3)\n","verification_digest":"sha256:ddb60825752d388ca863c7abb9a65c5c230e582749842ca2b346d5580bb2bb94"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:51e1514cc751921130e8beaba8b022b36a3c8cec190ab3d6b5320df6d1b618c7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": -10}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-2)\n    return x + (3)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c7a0586ba5e9d301141f08bff74120c61f05631893c2b9fbec4344e73c72d59e","rejected":{"artifact_digest":"sha256:d7644dcaf05e87c154e9bca274e034222cea01d122f0fe0a81ee8af8df43feae","candidate_id":"sha256:23a2809898e9c9882945751fd081129313fca31794036aa7981a3baf0d7ca290","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-4)\n    return x + (3)\n","verification_digest":"sha256:d1f90336a6525016d0b865b85c5f52b4eba19fe3cd7a5d98d444e8fe2bb71fd6"},"sample_id":"sha256:0d408d25f2106c46e04be0279ed2d9d9bf8597f3e0d31a83b830991cf9f8d0fd","source_transition_ids":["sha256:20976efdc3ae51f8e90cb55a3ccd66c9a6eaa4020cec369287e6eba67ad0adb3","sha256:8a150fd704c0f62c07ad2214baedd3bb0772b0dbec82a5963fbc8a55ee822135"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000170","trajectory_id":"vlr-formal-v2-0000170-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3f27bf84f82f0a576289b014a9cabfa86d7975251a099bebbe21e83ef393ea36","candidate_id":"sha256:6e64a4050954d5f455a39bfdaef4ce980fb8ecf038519ec92b6ff0db58af1f6f","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (-6)\n    return x + (3)\n","verification_digest":"sha256:2455d7e02c1c281cdbcdfe14004d48d57f0f7d4ec1bac9c1cfb61e4443ab1489"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:f567e44a7e70c5b205828676d5e422db3b9719e15e98d926b4461313064f1b1d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -28}, {\"input\": -3, \"output\": -10}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-6)\n    return x + (3)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7188aef25c0186092f270692ff7d6b7b6222cca3164de444140b05986a8be862","rejected":{"artifact_digest":"sha256:99d3e9d15a645e2f3aaa05c375931027fa1be9607208fda146695ab23684bd47","candidate_id":"sha256:82771aefccd5bb8a44ca6ebe12cc11d2bdde51c67c206263133a787341264db4","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (-5)\n    return x + (3)\n","verification_digest":"sha256:99423eaad8f63a19071bd049525926cb99ed4864e7d38935a46e70927f3390ef"},"sample_id":"sha256:3568cd9d874f7183d4ddc0b7d847f0b15419c1b9b5965e021d9d94b02b16a24c","source_transition_ids":["sha256:922a64a04f332da1b3f858e808f4abecb547bb6f8f0d9cc6de72c3e3f9fa2529","sha256:6c796bac2c9e78775e558c5954d456966898a6d5f634ec6a62551a094eea53bd"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000170","trajectory_id":"vlr-formal-v2-0000170-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1f94f5f14ce8221b483cf47ca06261657b829a59ea4412248ca3f9778dafb877","candidate_id":"sha256:3275f967114e289c1cee5686f53c9540eedbf9402d04de1d03cfeeef52561be9","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 3, -9, -2, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d44d6a83a99d9355476f5374e24a0686ffb2a53986cd712bbf4bdcdd613d6e49"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:a883594443fe6cd49d5015be1c8f6c55e7c4c255549ff2c62a762408e33e962b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:d01763dbcd9c3d66eba40f683d4e7f6b06992b1ed9bab8f62b30d5e984808001","candidate_id":"sha256:5f6aeba6127ea34e2a6a56f9c0143b6956d472a9bd4e4e8ab81c7edcb5207caf","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 3, -9, 1, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:90cf094f9ace6cb7ebf9eac5dc76a9e279a9b90ff09a28c0d9591e8a34a094e2"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:3275f967114e289c1cee5686f53c9540eedbf9402d04de1d03cfeeef52561be9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:fdde7a3d9ccf55f255d8aceeb89b114ecd869fdeae0c2145f1071aa30e3ff2f2","candidate_id":"sha256:98be619d9b0e9b8e57e09325ccea40ccc9950a7633a8a28239fd93c08c8a5be7","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (5, -5, -1, 1, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9d790046409b8bdd4242d3615742376c54d8fb5e192133621a61c6f98f2b1d7f"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:697b76868d942309a697f94b976ca1e2921c1fb8e7405aae9369a705e9ce9d1c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -4}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, -5, -1, 6, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c3ae3617456a348033bdd64bffa2fb1f762b7990ed1193cb96a3b2009eed456f","rejected":{"artifact_digest":"sha256:fd57ccf7bfdc0647bdf6f2c51d37950badf2d8dd0de98d3aa75934c0c5a1e23d","candidate_id":"sha256:f1004483218c871be5e2fc8c26a48649d7f9bb6ff63f5d8e1c051aa4dc84cc27","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (5, -5, -1, -1, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:119cad41f39d8087122e9091a1bc509ab1f5b03f5f5f101dff5f4d006f742a20"},"sample_id":"sha256:7aa93766bde0531936c86eb142b93f782f24dbd82cf31dd2f26ac92d6f34ff27","source_transition_ids":["sha256:460228555fdf5534d01ff6f99a61155a71f44298886cfe5f2713287524bade0f","sha256:422d0a38fb99d7f8831e11671d5d197189c81329f88d49ea8d68488ab5901b5a"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000172","trajectory_id":"vlr-formal-v2-0000172-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:26db8d081ab02a9ca293054b44fbccecdb7affbb10070ec22aa68f58835866cd","candidate_id":"sha256:3a3829d621e41767779429b158c603fa862cc2867b4ffcac7ea96fdef63ef1ce","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 3, 4, 5, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6e6592c057787443491c08e598447d512b52b14d2e317d69cbb00f54be378189"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:7f63a62c74f13ecdf3d50f72dba3a43f543fe5a4611b3cbccdcab84fa5318eb3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 3, 4, 6, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fc818b3eb67b0109160ed3cfd400268f96a9787143a6facacf240e28191a8d7a","rejected":{"artifact_digest":"sha256:5ec2f47399ac39e4895d032c03da8cad122dd70a2c2df8afe51210681017fe27","candidate_id":"sha256:2dad1319de29400e517037c2b9529fc182376281a20a2eba556335c5652b400c","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":5,"phi_gain":0,"phi_incumbent":5,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 3, 8, 5, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b18b81f2838dc764a25bfd4ebe104b9728bd88d860fe4a9ce832d70f0b73ef6f"},"sample_id":"sha256:92924b2b90f9433242556408c70449ec88b459ba95d386b4020b9f97ccdf1f5b","source_transition_ids":["sha256:9f812096292c67b8cef3170974a2866d917fef27b8d2aa6e3fe2515816c23c2b","sha256:f5738bf0b7d1696f8206a0ea6f0ab575f0ae14fc2ef12855ec2f593d59d5351c"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000173","trajectory_id":"vlr-formal-v2-0000173-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:31b742ab1a2bef8cf8daf2fc5dac4b06808e97487326b3f4251589dbc06e4ea1","candidate_id":"sha256:f57b6222526b05c7a3b013139cbcb93ba448826e2a0a9a435e8431123a874f4a","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 3, 4, 5, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:84cf685366bd743460468c61b78d163b5ae1f0fa766f52c225cabb7f46f288d4"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:3a3829d621e41767779429b158c603fa862cc2867b4ffcac7ea96fdef63ef1ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 3, 4, 5, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=13\nfailed_count=2\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4bac2fa7f33e08bbaea74b6d7e681475f11a594720e038d73c3efaf0617684c5","rejected":{"artifact_digest":"sha256:c94c04049883fe48ca5d4d6aa5be04ba0e85497fcd371b00901c21934789a462","candidate_id":"sha256:55e6d5f7c741cf383087a4a526a389bb99b2dda26422f7043cecdf4329a6c36c","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":5,"phi_gain":-3,"phi_incumbent":2,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 1, 4, 5, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:49cd57ffb0763e304a3d75ae602e1c87554ed94b3c30522a0a37f2b75ade9302"},"sample_id":"sha256:020786a50dedc110bb2f75112b67bb39aafb475d005886b9fe7e94d93e5bd3df","source_transition_ids":["sha256:75700139213951e9de2807288ba5244f9545f77a1f69e5173ceab82315772c2c","sha256:36a65c052d98a29995841faaf53122d3519d90992b79fde7362d96f9ce8abbde"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000173","trajectory_id":"vlr-formal-v2-0000173-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:18c440e19902414c1bfd1fdecc16c5782ccd30d30c2825399fb13a8e42732fa8","candidate_id":"sha256:26cf60dad4afd6f904c0e4099930748f82f3eaf17f91d500f134e7ed9ab2c581","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 10, 3, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:7327f731bb620829554548de26ead646ba9311e2f6fd149e3caa14239170f0c0"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:d9dcad972d086c778d7ad6cda351b92bb7f1e812dbab60b8dccbb6f294b6b80d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 10, 3, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e0982cb566319e017ddb38b34b7d5d23e89c20986fe2b30dd85011dc1eae846a","rejected":{"artifact_digest":"sha256:786e72ff48616c631459d2af3e37c4d4dee8b2fa676912c08c338e0536ad1c67","candidate_id":"sha256:8e45debf8e6eb9409c1b9e7a1e55b956d9b244a18f813e250f8ae78d24ae451b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (10, 10, 3, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d186d60e70482f8b5810bd3ef71b6c9a9dae36e8639699641f0c7ec58a860414"},"sample_id":"sha256:43eca98943331520d289d4d04322b4a88c8b53ea3bd8761c0c1a24f387bcf6b5","source_transition_ids":["sha256:885cec525168a4d7a74b861ee0ca6b22f60e064436055cc992c664ef20744dac","sha256:7fa73ea2a51aff461aee62806eba823ce5b1fdafd014a6151762464304b77195"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000174","trajectory_id":"vlr-formal-v2-0000174-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2a3c8658d6faaa96e7ce1cabfad508881cf1400c4f582b1ac5703c51271cad4f","candidate_id":"sha256:fa58b9ba2be7c56d4658d24b858631f2d99a67a643d4fe1f2ae707bf9e9fff89","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 10, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5dba0438662e8628139265c85eeb38a1172fc7cb57525e24e02bea80d23f6139"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:26cf60dad4afd6f904c0e4099930748f82f3eaf17f91d500f134e7ed9ab2c581","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 10, 3, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c77a40843dbdb5e795dc9ee675bed58f2e261a1a224eae6af238159f0b065108","rejected":{"artifact_digest":"sha256:8e0bbb4d70e2195a9af997ffb993c8e8f4c4b764ee18e338fee224945034d541","candidate_id":"sha256:b0105296a8ba9d14145a96f6afd64c361cb5922364a1b9687085b7afe7682b89","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (8, 11, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e040668f31faa421ea22efc5fda35317d2cb1c9de277544751361d99dd01fdc1"},"sample_id":"sha256:f7bb712fd30f6ab735e03b73d57d3be3a219dc34ddec4b74d0e08aa442f48ecf","source_transition_ids":["sha256:d30707cf6a80a6ae41156da7ce12fc37272d72bd33348ce7a77597fd2c09c88b","sha256:092822f7a97522c6adebbb931b94856e60eda14001b6b3e6e9bec0d769937497"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000174","trajectory_id":"vlr-formal-v2-0000174-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9a03fb31bcc58b4e0b3e07bdc9a70d0fdd7b29a8437c86e7024adb18550433da","candidate_id":"sha256:aef1a81384bc864f82d246136bff1a00bd9cebabd24a8ac0fb97a9c0474e680a","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 11, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d9e117adf98b9d8d6c390377a338dcb2385405a616da73f2589624f9de684dea"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:fa58b9ba2be7c56d4658d24b858631f2d99a67a643d4fe1f2ae707bf9e9fff89","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 10, 4, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7dc421631b64555504e82ac5983d2dc2fa064aedd2c9123c2eda6034ef5c0daf","rejected":{"artifact_digest":"sha256:37e004fbc9e62d796df83812d257903e420cb07a4d8e0af1d41321ba4ab7b509","candidate_id":"sha256:7b55d4ca4734168e499754f93b914d79fdbbc3b3fa9ec2432f020e1bfbd74898","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (9, 8, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3862a6a449fd3b6ba2e550115930b9a43ce05f760c3cada21dcbf19af2c1d47c"},"sample_id":"sha256:79c28d9da2aa59207f221efed5603c6cd8966aafc3213796bfb7d44fa60d249b","source_transition_ids":["sha256:8866cc1929275a53ee27494ec9531a5b68c1bdec5f408e2c6c0bef65a0f0723a","sha256:3f88786a653d10d3815126d69498a0de57b91d2af4b89d0859b96bce8f9f94ca"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000174","trajectory_id":"vlr-formal-v2-0000174-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b3ef637391b2d8c5e4fcd66869fe5a1cd6ae87272792dbc986d5e8db542f9481","candidate_id":"sha256:85f4b80f00b2d0089ef32cbaa22a772dfe50850359b3d167af5fe073d9faca0c","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 3, 6, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:57e76ea4f508aba769e3919d72e1ace1639d732872e869adeb36d5996f1fa286"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:1b785f0fbee84f4867b1a707f82a177a50f4521f4dae11e77e0668abe1daece2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 2, 6, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c89de19c405c83d8bacf6fe4e0dee1dad6f6a5c376d0a60e22d79199e72f1f9d","rejected":{"artifact_digest":"sha256:0291f2d3e2f08a752022439614f9252a9c92f8f73b5e7fb8374a8dd83946788f","candidate_id":"sha256:012b66591cdc81b0713e7125a8838bee2cbcfbc1317e7d0e86b422dd54f4bc3f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (2, 4, 6, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5f8aa9f75463d851038729dd7b27e65b38bfcf6b18a163d625ee3fa1f67dd7d2"},"sample_id":"sha256:890bc10858f12a347e5e705cbf10ac47fe9b8dd11ce199d393ef62dd6e261062","source_transition_ids":["sha256:557f58f26a6c8b05f8ac5306e14a3ae34058ba9a557e7a050e8ad9db3d46ec7e","sha256:42df4b01f2e5eba71b778c01c1f571030b95fb9e3028d999631fe8c6d35a2906"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000175","trajectory_id":"vlr-formal-v2-0000175-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:71dc3acef5d19908f705712d91af74aada46753185930422c6addad67c077550","candidate_id":"sha256:4b0705aac5049edfd82e8bb153b84dabedee840d5a14050a6d958d7e61aa1624","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 3, 6, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:86ed312db6d54348c5cb810a5fbce8899e7f67d2ec2448c6e84411d752c7cf97"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:85f4b80f00b2d0089ef32cbaa22a772dfe50850359b3d167af5fe073d9faca0c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 6, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9dadb60a5b9b1997adba78dbaf3008291de392928ebd1a0f2bad0eef58c486ce","rejected":{"artifact_digest":"sha256:479ac8c86aab12f87ff82eb3a2afc134c9cc8814e1f08bdf1f6f456f44ee3698","candidate_id":"sha256:18aa6e9830c7a071158ac1096dc67d1016dbc31865f290dd23ca149eacd320e0","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 1, 6, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:207168bb3f216686316e40b173f969e072407df42d7137e8333a507e20b8b159"},"sample_id":"sha256:5e4defe6f2f0a5de8865683edeba9c52333c6864f152347e9de8db6f1a158ae7","source_transition_ids":["sha256:7c09b3463092558ac86be73016ead24962c0f7bdd57e634c5770ad2dcd31a0cd","sha256:239739b334d3c284b3f2e363110ba698b14dd08b987b68c4d9bae6d3f5e7aecc"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000175","trajectory_id":"vlr-formal-v2-0000175-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7d1012bac2a2a66ee668b7e8819cd59316fdc67d6cb5f6365c85fc4bdc6e2738","candidate_id":"sha256:42c67b45f93f83222106753fbfbdf5a731fd0cb32e874f088ce5f2abcf1d72b2","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 3, 1, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:690392aa20ed5d5dbce9a55f7a00a623056e52893578714040ba4b6273ba63cb"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:4b0705aac5049edfd82e8bb153b84dabedee840d5a14050a6d958d7e61aa1624","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 6, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:432e5c9102eb20c0375d3abcecade57ec98c728b45490e7e56e8be592c9ac899","rejected":{"artifact_digest":"sha256:9a4dac4448228d15b285f3fd646e3fb49bfcb93b62ea139a547ff6787b6c8856","candidate_id":"sha256:4f33bb0c624eea08537ff138cb7b7ab7609dc5fdcc63c2237393ad2b278f3609","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (2, 3, 3, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:cf05bc05d10bddeeaff15b7b53c18c3311823ab9071ff86953f79c7565824686"},"sample_id":"sha256:70dd02de1aa9670b7441ad885875138295375241dbcd4783c75bb8044cc25a8e","source_transition_ids":["sha256:17114ad6116f2d307cbb5ac78ce8b176cf48406a334ec10f172eb4dfc0f6f3b9","sha256:3d8cb266daee0313646d7aa6fb15bd6bc95c6128a2c3a1b10be872d96e8402ef"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000175","trajectory_id":"vlr-formal-v2-0000175-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c9454e363901c02ddc7c5db947e8fdf8732ef3df7de14fef0b9e8a3afa5e7fff","candidate_id":"sha256:3d2f9d50c99f866e1fc5705ff11e882c6c3626c4c65862bd0cf04c58fd31c101","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 1, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3ae4359caf22ec7fc3d5340a62b052a7d6beaded4db5760035a7c5b7d534e487"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:42c67b45f93f83222106753fbfbdf5a731fd0cb32e874f088ce5f2abcf1d72b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 1, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ce81656dafa430f570c4b05568be99027b4c6b63cb4fa38c148b310e03c5b1c8","rejected":{"artifact_digest":"sha256:e836362a83ec7d5db00d79d1a76e7e5ec659f92295815d03f314933e13d4b05e","candidate_id":"sha256:dd2901f044d16a5dced0965945742b0495c1a6f45097641176782d60914dd5d7","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 3, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:0590530ac862669944177e8301859a7b2d93dea6f365f59b614ec09fba4f72ff"},"sample_id":"sha256:cc0f1f3981b772ae30ca87e8b74cc9c4dc52822fd1fd5159c7acce4a430c5e8d","source_transition_ids":["sha256:f7798d2c97dbc7db80dcaf0b4f94e3527a7c8a95859f3c356a5288d040938422","sha256:b4c94e94c04371ae391154fc6dee54fdd2ac29a7ca9453c1c7d6e493cb62be23"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000175","trajectory_id":"vlr-formal-v2-0000175-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e12bbcdb3be6f44c87ddfaad62c9439c4f6293e2a04662976883d841e5aafac9","candidate_id":"sha256:440a58571ad1f0f5329f8efe3d0220a011cf0ceb25e013c3c268dfa1ec229fd3","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-2, 2, -2, -4, -4, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2ce55ab4a874ad2c62821ce9cc62d56ae9c34d920e3f0713899607be3d3142e2"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:b655760f13f460ccdb6941fd62a299f0363eca3c6824ca89ad26337f1e9601c6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, 2, -2, -5, -4, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:45eb473abc50edf5b2cb6c51bbe76e455d06f8d8e42d9562c0d3f91f03f36bb2","rejected":{"artifact_digest":"sha256:3ff118094f0eaadc25fa8caea611aec5741b40c12d73a94fd3b3ad4fbeb84ceb","candidate_id":"sha256:e05b40955cfc6b68d2d11278fca5671e54ca5cbc5891b6a02681f7c4c9c7b451","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":18,"phi_gain":-3,"phi_incumbent":15,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-2, 2, -7, -5, -4, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e94017ea8a153401c58927f705eee9720f16e1ac22957d5d83ec87b1dac6991f"},"sample_id":"sha256:6570e9db51512d9272aaf5160d3e9ae3929a3d0977d6600416e018455ca0222c","source_transition_ids":["sha256:932a013475c3a8c8d75afb0e6c1e06879be019c4e7faa355d3c994fb32af76b3","sha256:c10655843cb090fe0bfe8181c5437b532b8f72efca93ab148e99d45d1a8c2e9f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000176","trajectory_id":"vlr-formal-v2-0000176-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0d4bfce6dbe8a2b4c609d62bfde4abdc2f51a486c041dcc1c5abbf8d40966014","candidate_id":"sha256:b8258ff7b27c0de906c16e2983b3c8b5e6dc32df03b0cc56d22c46df997c7b7e","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, 2, -2, -4, -4, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:6682a5a105c34ff05bc3bebf3a7f1ce3f947c17a5ff35a710cf9ef9abf39a0f9"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:440a58571ad1f0f5329f8efe3d0220a011cf0ceb25e013c3c268dfa1ec229fd3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, 2, -2, -4, -4, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1f652b99a294431287eed59225e24a29fb80529fb4e3014c6f76fc8a8623b441","rejected":{"artifact_digest":"sha256:4ccf03eecb5ddfa28ee3cee5b595a4252d77f09804ddef75d02972879a3d36ad","candidate_id":"sha256:969a190d4a246d3890fd28c59269becc363248a23e63cfe62bdb86515856c216","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-2, 2, -2, 7, -4, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:39ae11b14734cb4a91b7b32fe31ef3cab3c9b7c556e087ba122e2f1a9d04c4ee"},"sample_id":"sha256:be942a81d6be25730a620d25c660e7e10512d442888c6d621241d42ece3cd954","source_transition_ids":["sha256:20311eeefac05690d8356f6c1a2349240d5801a7397018ad17f7c7a80f05ca55","sha256:cd52b1c1de2e5efe0323c2d82fb3ca17bd46f09c2a7af5d0bbd91dee2017fef2"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000176","trajectory_id":"vlr-formal-v2-0000176-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:25c043e4669b822b97f57deac719f94dda69d14e76ef18fd4942e2b52ec2f913","candidate_id":"sha256:3c73dbd7ba26edbf4efbef7904dd3c0831676be4bba27344618077022f5327f8","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, 2, -2, -4, -4, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d88852347ff8e49d85148ce88d2a1b67ae8e2dc53174b5be14cb2a29d267d845"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:b8258ff7b27c0de906c16e2983b3c8b5e6dc32df03b0cc56d22c46df997c7b7e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:e2f572f736863584f56c1a3c7673861ee76b6689908cf52a5c3a5131e2395476","candidate_id":"sha256:b885ddf4fe2f5e86f0216a79cf65841ae5be276f0ae874e9b3ec381350daba2f","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, 2, -2, -4, 3, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:447af7f6537e0fd2cf25669ac31c0d67e5d360eea570ab6b1b565df429aef5cf"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:3c73dbd7ba26edbf4efbef7904dd3c0831676be4bba27344618077022f5327f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:fcd6577c1e101d0c5397e468cb638bd9ba063d406c4e8c2c9e69c2f2cfbc4526","candidate_id":"sha256:b246016c3a376f80d46475895d94dda1ab63cd992be518c832fb6b56d76df86e","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, -6, -2, -4, 3, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0100691f8ab836dbc91eee056a3c1069a440fbb30cee5898c05a42f200c140d7"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:b885ddf4fe2f5e86f0216a79cf65841ae5be276f0ae874e9b3ec381350daba2f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 2, -2, -4, 3, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c336eb0f538f72eeee6e86009dd8c750ba0345fd1f1c2d69f944156b1347e89b","rejected":{"artifact_digest":"sha256:7044f732add7a7c6c05a35f4abf8e02819a15396cb88412877bc41095b143cfa","candidate_id":"sha256:04fc5fd94b7b3a39ab18d8810f9cec6ab83e02557adb33924c396e91b3bcaaad","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (2, 0, -2, -4, 3, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:01c1cc78fef5266ca564fc01fa7b7e06d406a7cf501021dcf76b2176b284a796"},"sample_id":"sha256:98739a8299354e51db0bdd66948c848d5119a34fe8002a8fb72a7b8fb22a7b8b","source_transition_ids":["sha256:c91d3fe1a64dca76b06977920587574b08f92a7be50782878b8129d22a804381","sha256:4c4009320f6cd50cd4574f0724cefc8e4c75579d8506904f836bcab9bb713c8a"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000176","trajectory_id":"vlr-formal-v2-0000176-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b70f287c5c6f9a11c88ff04d7a61fba5de13e6adeb59dbdf41f32925a6e5be14","candidate_id":"sha256:77ecc998d15006d8404f03116d08e1c19f6fa9a5602b29c980e6d910993a8d73","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, 5, -8, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:375213b118ba2ced26f6dbf1156d3689313dece0f921456b17a3573e6cbb2e8a"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:b7c3f334dbd2cb9db786bebecc5e13f6e027737adf4fb1743e2a83903b41bf25","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, 5, 3, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e6ad42fd40a6344cebfdb6a63dc26480d339d17acd99795c86245f7ec21c4174","rejected":{"artifact_digest":"sha256:cfa4ddd9f8be6ca24a6c9e0e5681504d9708fb9ef96f49eba922da8fa3bd3f02","candidate_id":"sha256:f9819f98a0221d66f3c938586250b39671cc460e7fe4025fe67ee6dc882e99f6","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (2, 5, 3, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9d6734ac25fd8785b36aecdd7b71a0fb1563d401f4a09e9d6ddaf9453590b250"},"sample_id":"sha256:575cfed58664fa8977fa6a7356d1d6f98400c46ab4c464f4ffb54aa907ca8d70","source_transition_ids":["sha256:02648b474041150c5a671ca9ba5a0aef605e372629ffdb48ebf77f32dfaf2cb5","sha256:9e82ce6c3da673350a5492ea228282f0c9167e32dcebc2f6569ea1ebf0929d0d"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000177","trajectory_id":"vlr-formal-v2-0000177-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:775d624df5f1b088bb28956eb40894098dbf006e3e9e8e942183491a06f4d671","candidate_id":"sha256:8e6938e71b5d8a88e3379f957a530911d07570e8670f693f1e1639f1d04c02fe","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -7, -8, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:39a42719849591e5a2b35bcf90c93038a28b22f2bdebcd013e86f053d3e82de7"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:77ecc998d15006d8404f03116d08e1c19f6fa9a5602b29c980e6d910993a8d73","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, 5, -8, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dbf45fbee81af460be5a9a1481b1fff26d5ee8683a7a88fa896b6fe309885d30","rejected":{"artifact_digest":"sha256:b2661c8797026b74476e6533b997db09c2fa18fcf56452598f55cd228b1b349a","candidate_id":"sha256:91296cfc1d1d202ad9350d868e42699da673b01fe3fe14788a538bb15653ae17","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-2, 4, -8, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5d356e8d95a1cd7a29e4ab0157c1083c57faf5f216cc785448004edd1d7bb83c"},"sample_id":"sha256:03b3f723fb8c3f2777cf359a4590d32184107bd4ec1d7904ec1b85d4c8267a5a","source_transition_ids":["sha256:dd19a827bbdfaee2196f5c5925b9a9f5268dc5002e5b309213c1b1dab2d3f6cb","sha256:931809a24168c2a321f090e8e8e959d3390c19d5af032960eb9d122235183809"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000177","trajectory_id":"vlr-formal-v2-0000177-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9bb7abbe48e9d1b1bf3fbac7284877f44cfa39f0071274b37fd4923d14dec55b","candidate_id":"sha256:7145b6f5d40b7172098406a00317b18e41ebcfd38e6f59aa6e50bf4de7e10717","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -7, -8, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:995e71bef1d0a3f7e721f4eea72ce5ba47204ee48ec26e1f73d0b4f083db68f4"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:8e6938e71b5d8a88e3379f957a530911d07570e8670f693f1e1639f1d04c02fe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -7, -8, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:317f372035016ef42833edd0890620825ee3de291772ccc30ba1215cb86b9de6","rejected":{"artifact_digest":"sha256:c113fd161405b1db31f9909b00c01778e46a490bfbb02980bf9b58997958a852","candidate_id":"sha256:75cb588e78ebcb4b9a3c241cecc327a8b96d76f771c759e51a83aff372e1fb69","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-2, -7, -3, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:91fc2985bb0e7ef5fa5cc08603bccf99b87cef4b03130901e3050c74cc1e77a3"},"sample_id":"sha256:01abbf670d8bb9cd861de05009865c81be1941c404f7943a92f60e8c7e37b737","source_transition_ids":["sha256:921d1c4e594ff8bb2d18b6bcc3e41f6db7368a9080a2c80f66a5897092532b4d","sha256:a684a789acae9c14eb6d44306aaa31ca815c5416fdf951d0de2f7674ff3d1b62"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000177","trajectory_id":"vlr-formal-v2-0000177-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:54c63a6df4c09bb472fc9cf8ae0152491be446e34046e401dfc23830070ab8c2","candidate_id":"sha256:d592fe86f2fe1c6cde154430e02178f19062eddbd8b678a7f8f04e9ae8163553","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -7, -8, 0, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:11c3686ec5f82630525922c407b999af80a185c8b898b1bdd00e76a3aeb022d2"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:7145b6f5d40b7172098406a00317b18e41ebcfd38e6f59aa6e50bf4de7e10717","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -7, -8, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7d58ae09307252b401f6d550d7f65dbd32fb8c9f2b83bf2ab6af99ba99eea006","rejected":{"artifact_digest":"sha256:97f4554af82d0ca7460e730307c62b83e41b8b923c23cc7f686ac293227b5c21","candidate_id":"sha256:4b566a810f686e890516105ac1d0a388e37273eaa290f5413df273d73f0723c5","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-2, -7, -8, 8, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d4e5a8026df3064a9ecc4cb7c85cee527267fb2f9d6a205ca6653440e8789501"},"sample_id":"sha256:540144426756c339713c35b67e8f7da9a07872d4fddfd58adad3a3fc195542d9","source_transition_ids":["sha256:f2b7253f2ea5644939c1f4c994667f422cca3c44bdc9db69c4d6a2628f2bd6cc","sha256:3edf54edbccfb1c85be493311a7f1ae3313f5baaa86651c9aa6e7ebff84c6860"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000177","trajectory_id":"vlr-formal-v2-0000177-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a9059258f8a7cc46e5c8e275d51d5ddacc7c0b9e7d59a7e8a22150b79858f3d7","candidate_id":"sha256:0bd5d4bcdd8c57698adf574f8ddc21fc45dcb3c1f0c551d63e09db2e35e42d54","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (1)\n    if x < 6: return x + (6)\n    return x + (-4)\n","verification_digest":"sha256:9c24602229d19bc67a27b2fe5a645ac3ad470456f648480a1716b1b153c38691"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:c077ed6ffb546e53ee189dd9047f637b7224e1e07e738b3a2bea652041914c35","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-4)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2675216dd12c711c6bdc04624d531794f9b2c15f2ff28798b09e969a623873ff","rejected":{"artifact_digest":"sha256:48d9225eb45756dfb69caf4bcb4257a94126aac8a57df2573365b998fb88deb8","candidate_id":"sha256:bb0f9bf3d34c2f04a36b83d273e54a6c06bd940efff097952871289c952c0eb2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-4)\n    return x + (-4)\n","verification_digest":"sha256:4ae1f0f22078071e74e977eac79ce3f2dadf6bc6cd0c65847fd751dba8ae8f73"},"sample_id":"sha256:802a2579ac4b42fc5b8f0d011f5dd805fd8c5057ce1488f9ba5809b2c50206d6","source_transition_ids":["sha256:df9cbc90bf77f39b4e36e6c0bd5932d3d83a85677bd857777ba6bfe941b5f30a","sha256:e8a5dfc1c2be3efefaf492e5200ea1c91f42d858e194df23372c259dbdcfd3ee"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000180","trajectory_id":"vlr-formal-v2-0000180-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ece22b787ab7065409f0da2a5acbb3982bff3a5be4317232f1e3b840559d14b6","candidate_id":"sha256:2ab717bf2985dbb8e066f8413e26d8fe2a0694d2e6c660cd332242386ec30dd5","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (1)\n    if x < 6: return x + (6)\n    return x + (5)\n","verification_digest":"sha256:e1c6c3fc6a4d2024c7468af6e80dd3d53fe725b0daf5d60d2b7fbabb54d15ec4"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:0bd5d4bcdd8c57698adf574f8ddc21fc45dcb3c1f0c551d63e09db2e35e42d54","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (1)\n    if x < 6: return x + (6)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:06ec1790c267397d5594df0d427c53f4984421e4b6a2ddd5cd058ac213fc7ee9","rejected":{"artifact_digest":"sha256:65c6c1d4c9216e3c4a07e800dd0b9393fa11fafc1e9aca3d460b28e3bee00ae8","candidate_id":"sha256:8e75337dbcc46fdad3313643a7205760ed2339d2ff0132eea5761c887a3934e5","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (1)\n    if x < 6: return x + (8)\n    return x + (-4)\n","verification_digest":"sha256:b4674de0eaff4a8529c2b5b9b0879869dc25af1089c1a0b1bbb0b198e9fa8b57"},"sample_id":"sha256:d78b0257954c5b37f561f1ef2626ec50d07e637543364ea5ddda2b72e05fee62","source_transition_ids":["sha256:2bc87e6a3c3b979fed6eeeee0e23656b68e06b217c1eeb7767bf1258c69cfcfb","sha256:3fa88449bbaa6e99acb1006cee25c0f82dcb54a699c87af360ccca537e761987"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000180","trajectory_id":"vlr-formal-v2-0000180-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bf228a689ff617272f11489ff46df5db6c67489969c0119963d27df0cfd42151","candidate_id":"sha256:03f960c08234eb56b270ce22607846e89f2c9a79b7eeca4c24afc95cb94ac193","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (2, -8, -6, -8, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c8d32d3cdd0632388705adeefc4fcf1f3414f3eae1d3317428c205f5e130553e"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:e5c86c56519050bcd2716ee06f72f907dfcae6d8c79636e741b31454e26448b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:07dbe361a9649e5c634131837afd84e5dbe6cfd3347f36a1dcd9a374f6722a3c","candidate_id":"sha256:42772ff2133ca5d7f1b1154abb2b61571cd43b05ac0fff05c170c85bd6169f7f","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-5, -8, -6, 1, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:cbaa314c2224627fb462fdd9c3963f4aa1744c64f8a2ca49cf521fcf43aea986"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:524e4c9793c111e8e54e1610d2d585fc8becd03dd4759167d16163d2dea16132","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -8, -6, -8, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b9f4e5427f917fb3ea3f8caa8ad5f5d21dba390d877f0554dce9380ce9c05d3f","rejected":{"artifact_digest":"sha256:2f68fb702c46ce73ee2a368d4ff9e3bccd9dee023ebd535882274f53d9fc0aaa","candidate_id":"sha256:724242683e43fc8d5c55a2afe31fc02f216e804a951710084ed60e824e988c23","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-9, -8, -6, -8, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d03114f5e911d1f46b4bf54abef7582ecd408aabd9b05e1d327f5cf4291cbf15"},"sample_id":"sha256:ad78c929a78b2eb1a5f0a4f93c91197ac5c6c9d607bd891e3cc902f9684784d4","source_transition_ids":["sha256:1afe04d7b5280450053f8c0585e408469bb8ef6b6cd7e05c95ae2c5632ba80fa","sha256:76063766c72bdbe68592065b969fbdf22ed2b43d44d6048da047e175f9a73b07"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000181","trajectory_id":"vlr-formal-v2-0000181-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:96cbd1c9642b9ff2c7dfca264547847519faf4b4211f5b2e058458c956a9b29f","candidate_id":"sha256:96e1fb07f4627eb80a8e0d062e2fa8f96b9889a4ee76c9bd3683847951150dca","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-5, -8, 4, 1, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3e202712264ebafb001ed031eff0222dcc087ce5f407ce42a28e64062581db09"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:42772ff2133ca5d7f1b1154abb2b61571cd43b05ac0fff05c170c85bd6169f7f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -8, -6, 1, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2e08b628e1fbbd50e3c0988bdb4c200635eb804fe2325674204692092b6c6e67","rejected":{"artifact_digest":"sha256:3c01166caa2cf615707d69631f9f4cffe76db05b6f95df44f453e3cc91b07efa","candidate_id":"sha256:e0f6b1543ff2534bd3ccccff3bd5e2088c280d563c4e559f43125986a2b0076a","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (7, 8, 4, 1, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:46ea2210593d625fcbc709d15960eb6c5868fc9da9eab55b622a4d88a7bcc5ce"},"sample_id":"sha256:303b822ccfa25ea98f5ea45a346ffc18c489baa9393ecc354cceb0439e531a26","source_transition_ids":["sha256:8ea9a664bd831ab18e46501078fa4a5d3eafffe8dc2aa0d99446ed778490d77d","sha256:2fcebcea1542eb1162204452ea6f33352d156212ffd1d3721430d0d4d63c31f5"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000181","trajectory_id":"vlr-formal-v2-0000181-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d19e401cf22be766b88f5dc07b1dd41e5142d8be018931b60cfeb73f5f36271b","candidate_id":"sha256:87f71e6e079b81fe6cc273f21281c2110ddb4240cf4d3a6596146034a35b2118","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-5, 8, 4, 1, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ad15163310861ab2a4d1993197d01b2614fc2af279ebb6ab479178a1a91c0f19"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:96e1fb07f4627eb80a8e0d062e2fa8f96b9889a4ee76c9bd3683847951150dca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -8, 4, 1, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:42ea72d3864fd21d855bf9b4022cdc7aa42b4ed14c015ea437189179ec6b868c","rejected":{"artifact_digest":"sha256:0c239fdea3791df07e086bfce872981459fa8bfe12ac39a131aceefb6632b519","candidate_id":"sha256:a3d147822757a2415d91af0eabe2f0a25e214539cabb19e136a0e3256d713bc2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-5, 1, 4, 1, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:34aa4d32e2b3ba79bf7690b37dd774bac922faee837d754e48f53449927119c0"},"sample_id":"sha256:e006926d3706bcdfae6c2ae047b52b0d5a6061983411291c8255c8d2919deb9c","source_transition_ids":["sha256:124a1e60ed0597ef9316f38f581dae2a2fcdf3516a3269705738838b17fa20a9","sha256:ecca3b1d5868c5c9ce3718a2604f04771c2c437cf59b414e70a51cd9e3747fc6"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000181","trajectory_id":"vlr-formal-v2-0000181-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:822dd4a0d16db0e9d588973a059683448966b699ab00b1c5fb2b69acc7c2bda8","candidate_id":"sha256:ee6324d67b0ab6876dfd38117bd35c391110da331bd8331754db35e8316f710d","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 4, 1, 1, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:60b2e2efdc5eb8a0532a19555e4c6d6538198878a345166f3c9ff0cd4875aa36"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:947c5055e1fd8f5d7bfa84ee4e3ad1f79791b61dab866f05ac884eff8cf01ec5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 1, -4, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8f2259f06b0ea429c6e68a4f21cddb0be1c550dace70f3eeb9b00e84193e1d09","rejected":{"artifact_digest":"sha256:bb542b72db86099bd0929be81b65eb25ebfd8e7697748f470410bbcf92314fc4","candidate_id":"sha256:3f4747fb933d2e486d5461fd8b946436bd924458e9b9fb3d6d578e84ceb7e3f3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (1, 4, 1, 7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2a7e242f1c3d211543d6439e5594ac69f218134a5988c6c47c10d6f2c8302da5"},"sample_id":"sha256:2564f9c49301f7d7047f266215744e08b59aa2503dcc0c5d5ee1982c6f74080e","source_transition_ids":["sha256:48c817c9cd7ec9c2d63698eb963fdab02693fa15d70f029d4afdf84f2d7dee9c","sha256:cee109215e87535f12d8fd12b575b9657411532e7b1cb40277f45309c5437910"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000182","trajectory_id":"vlr-formal-v2-0000182-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:96ca35dd8fa959f598eb59e8e73c738a78395b8881ce196b3cb9c43cfc6fad26","candidate_id":"sha256:c10a1134f62f3e38f5b5fb1dd8c6109163774afa755a215a86c85aa4a35e4d21","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 4, 1, 1, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:283bec98aec2cff381dc95cf37ea4c856c5d44b91c1270a696b502c55d38f1e0"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:ee6324d67b0ab6876dfd38117bd35c391110da331bd8331754db35e8316f710d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 1, 1, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a928c1e576b822502ace78e4104ee50829a4447cfbd4ee043ad9ef75e4719595","rejected":{"artifact_digest":"sha256:2baaffdd85f8eca858c4daa5752821a42838b474a0ede4c294cb8e234bb9e87f","candidate_id":"sha256:577447e69f3324d76f1c5236884df96af1d57aa3101e0ad864e2176595c4c759","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (7, 4, 1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8ce11b69b2bcff25028c6849435d289fd112b1e503ffe0d55775e74b15497741"},"sample_id":"sha256:64a81e91666b652b12520ec62a59fbaecd81ed25ea965d76e63ef804411b4cfc","source_transition_ids":["sha256:176b461fcd09f2ecf031908e40cb8a1dc9309b52b2151173cd46fd240c11680d","sha256:6fff178b7b89314648b862d6acde1cc55c20299c737bee4cb993bd08fad23190"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000182","trajectory_id":"vlr-formal-v2-0000182-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:486905776cd2e369f188022f11cd553417995d76e9c0d702232a76fbb7661256","candidate_id":"sha256:bf6bc40906a87d830d27e7910d9dcc64f9d72e77ff6b6465eb548863672ab567","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 4, 1, 1, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5420aa069e8d80b539703b6e729127d4f31a714b3a0bb98ed445cdfcf49b2bae"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:c10a1134f62f3e38f5b5fb1dd8c6109163774afa755a215a86c85aa4a35e4d21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 1, 1, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:36fb5323f6bc2eed7ab4b4e363d0e8a386876da710b41d5a23d0cdc0c9ea8c2a","rejected":{"artifact_digest":"sha256:85f8bb655b01b61788950693bc564f3afa7b93e28c7ea5f6e91c1d251bdfd6c5","candidate_id":"sha256:8c02562a8c36b17dfa217ec255f1efc6ecf3fa4cc165b2ca148f8002c39c78ad","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (7, 1, 1, 1, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8338da9d0069f009db7096e695131527fe422768f2f5faeb4e9e15d88f1f4f1b"},"sample_id":"sha256:419abb28c610f47d5d30e6d0a4799ddebf1c493bfb4c0b9a869aa6c113fae7f4","source_transition_ids":["sha256:c3dc12d11609b51050276058a193efc81e80598ec3ac147028d4eef548a2a345","sha256:5e7144e59ccaaa218f4a15345d21759352d54661c8f962095cb2c6909b4946bb"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000182","trajectory_id":"vlr-formal-v2-0000182-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:88a87871393ef4a17f8f9ee1afa004ac3da502a59971d928165962f1e3e2076b","candidate_id":"sha256:8a5be23dc149b1d7d6788a2479d4c30c4603a39019d522f7fa417a1b2d303a12","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 1, 1, 1, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e87c74dc1aaed05448f4e2f5d864b71c150e5320bb2ba74d19f1ec7b54d32f76"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:bf6bc40906a87d830d27e7910d9dcc64f9d72e77ff6b6465eb548863672ab567","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 4, 1, 1, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a765dd8641f6843f843b399b633bd757307a5556aa72609666ccbcb75539c57b","rejected":{"artifact_digest":"sha256:ca4bfb0fc0786fb532b49020d84236fac510333870dccc15655faaeaf46e02a5","candidate_id":"sha256:4bfa8b411323c302dffe489db037cc4152eeb7cfaa9c6da447cba2d33ead2864","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (7, 1, 1, 1, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5316eab9d4ecc296f4d88f9ed25175bb7806addf7634e4c4fecf00dd9ae6f965"},"sample_id":"sha256:f09d16b706740b5433ed38c2e1bbb977bd5ea4c9ac1bd858fb8ef7b1bdc595f2","source_transition_ids":["sha256:4d242e7bdb54a8029780a838b0153157a88c068e4a36a1cf639a32c2c5933329","sha256:1a1ae5a4b505a83b22f3cd310ba4b48d8e8553fdda6b21a13b431e3cf4ca1d8f"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000182","trajectory_id":"vlr-formal-v2-0000182-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f1af7a67c7672d6a113d4656917ad1cc349352e8722e036d8f867f70018fe5ce","candidate_id":"sha256:995728f1e656f41de6f87714c6b0a2a74cbe79a0b6877e47a1bfbdce04637bfb","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 1, 6, 1, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b9d9c6ec1825756b58e8845301f0fb5e55879a9b05318d54e799da9af446c415"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:8a5be23dc149b1d7d6788a2479d4c30c4603a39019d522f7fa417a1b2d303a12","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 1, 1, 1, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:68ffa6f4dc6a4c1b9ca3d860236cae734326ffe4764ff665064f018dede63c41","rejected":{"artifact_digest":"sha256:b8902aa6fcb33f12b64b575170c2f848dc6e09255025f7cb27772d4e19e65a19","candidate_id":"sha256:e5d70fd909cb5176898b9d5477fa539ae62a48deb2292896fae85d84a8ac0fcc","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (7, 1, -4, 1, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4b6f9985ef025df4de7869da7f169317275971028f4e2273c2cfdd97bfb114e5"},"sample_id":"sha256:577ba36335241b1fa34fd2de43d8eba782cc9c2e5dcb557d836ea6ded3612061","source_transition_ids":["sha256:39f4c7f081ef785663cda4ffbdc9859eb0dda837b076c077c23bc22d21c4acad","sha256:05f07d468b884cb2edb95b3533ebda7284ef10307c3f71121eb4056e74c62596"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000182","trajectory_id":"vlr-formal-v2-0000182-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b097b263169e24761ccea2daa4672374aa85d80d63e9364d30a2d38bb7852867","candidate_id":"sha256:d2158943b4f422f707d990006cc44ad7faae4591f845f9bf7dc259d8b64c0b4e","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 2, 7, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3d71ddec32e7c2b08d71c07508e229586a539c50f2308e2ebc140ce07df8ebf0"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:c65e445d5483a81df45fb99e7f2ca29283c552ad9ceaf427b240bf19c9bc4e3a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:5d9bb2fe3c05f3fb4e0d1047663e4e48107eaf820488886db48db370257645be","candidate_id":"sha256:97a96f8f24dbc231c9a1dbad66715bdb8cffb02709df22df7a3ac6474bb2ba65","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 9, 7, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d628ccb2d00ab39bf2047c5af8df657d7ae0c805be085d9bd7815ef77adbdb45"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:d2158943b4f422f707d990006cc44ad7faae4591f845f9bf7dc259d8b64c0b4e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 7, 8, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a21af16ae0cf36d5050c4c442c587633bebe4497295cd16de0c116178cee08ac","rejected":{"artifact_digest":"sha256:2ef1672048c5b8788ad41c5d778753a39f4bfe8d59583d36c41f70796e097ec5","candidate_id":"sha256:1a384ba985d148466a3a69a066690610bdf5bf0c7ee046adde09212751f4c63a","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":11,"phi_gain":0,"phi_incumbent":11,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (5, 9, 4, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:35b4fd9fef4ec78c500cd83df685e5861beee9c595382785868aa84646406df9"},"sample_id":"sha256:18f1f0c9fc892cbae4cfa5f051252052aae1a1eeb279e5538624af684f3abab4","source_transition_ids":["sha256:2be4ee2510559c0de0bc16fd092bfa94f352068967e56125d98f4ffb38cb8055","sha256:28417c99ac192821f22884290efb7863193cda017ddae0933426d3f7d7ba3e25"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000183","trajectory_id":"vlr-formal-v2-0000183-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:76087423c79f4c8e2b09da29ebba426680ccefa391d3f470f3bf43b519018871","candidate_id":"sha256:ea1f3cad4122eca524fea396eedf543955e974a0cce23d99cbe616e3ba2c0d3f","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 9, 7, 8, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e79fac514be633da2a1028a2f51f1add79da8c121d3f16765a177eb3f7ea08ce"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:97a96f8f24dbc231c9a1dbad66715bdb8cffb02709df22df7a3ac6474bb2ba65","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 9, 7, 8, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:799197134f3044f4284a7778771870513403328df57aba908858c53d704f237c","rejected":{"artifact_digest":"sha256:be84360516402e35bfad4e20f860a622c981696e3c0bd23f36f26c9603e3f6c9","candidate_id":"sha256:75d0aac3f5dcdd5332c36dc62b78a3bea1dd37bfef50cd2f48794937e59aff13","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":11,"phi_gain":-3,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (5, 4, 7, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1379d7f064498f8dbebf85c5deb82bc5652e00767dbf08fb4c46f50a63d38483"},"sample_id":"sha256:861087ec1c00ffabf1d724b279dd13c9e38ee40d43c62dbf641b7920df4883eb","source_transition_ids":["sha256:ecf702886fb91f27b8dfec46cd505c985ee4519416ca7bac16226464b2dd4f3e","sha256:31e44666df1231cc3b1f56e5ef7df6f567d673980f7aac1822102b1342f6624e"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000183","trajectory_id":"vlr-formal-v2-0000183-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c4d29f9f334d8ae9b7e2fcb3b17330c8012aaab5a175640583387a8b2f404e73","candidate_id":"sha256:8c885b2b92bc9060bde56b6713be89690eb42f5b8c6ee6544f700d49c4543320","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 9, 7, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:213d7cc1750c6f1f0bd82a843af875e541a7ffcad4a78343ef64d3e084003207"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:ea1f3cad4122eca524fea396eedf543955e974a0cce23d99cbe616e3ba2c0d3f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 9, 7, 8, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f28e2567ea7bb752f5b7a707fe8ed6fce47e7bd2e377dae0630ceea06e161f55","rejected":{"artifact_digest":"sha256:f21c3b5fe99af899bf2e39c6db35ba9b11a1ceac3ed4695b7470e1479210f86d","candidate_id":"sha256:3eea204c7ab69e5fd149adf5695e6978fb32cd6378505d6903faa1bfb6b8dd49","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":5,"phi_candidate":3,"phi_gain":2,"phi_incumbent":5,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 7, 7, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:cd986bb9f87eea12a07f9c01ce605d637e0f17f30004af46f073f4ace0820b2e"},"sample_id":"sha256:b45158e94a3bcef3647bf9c7110e8f90aea870d455490690ac70286de628d7db","source_transition_ids":["sha256:d5835422eacad781946678e432039bb8b433fe96f6c690870c527b991cd22d73","sha256:57f0cc2417c9c78207b926e14648ce184e3e817f3468585c4368c053889f2a3d"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000183","trajectory_id":"vlr-formal-v2-0000183-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9a2028fb7ae315c265f4ed1135df0970a0521b5a9f81e9f1fbb0f9cde0672661","candidate_id":"sha256:d3a51704b642b8565083236928089625367a3df86fd14e837bfeeba04b632b5f","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 9, 7, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9e3cd4c7a87dd53ca3c65858ddb95c4204659d29cc9ac476fc41a55e9722c6a5"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:8c885b2b92bc9060bde56b6713be89690eb42f5b8c6ee6544f700d49c4543320","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 9, 7, 2, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=13\nfailed_count=2\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:679f6362339a147e0dc0439c8e3b063a48f23db6cbb0c3c01f936f5f977ef898","rejected":{"artifact_digest":"sha256:2dca60f474d33ffb11f5f95e1b2b2b9a7525f2345142311fb38170d2d9b5562e","candidate_id":"sha256:10a5c8b1384ad3a57cccfa56e32d87b3aeafaf5a11d3d6646ce25683584fbc79","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":10,"improved_coordinates":2,"phi_candidate":3,"phi_gain":-1,"phi_incumbent":2,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 1, 7, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c12031607533ce670a5e8b9c6d996e69a57c5409061e51a7b97ee15e7c53812d"},"sample_id":"sha256:5c21f2c430c3539557071c488b20fe78c8c5b3413c7285d75d2a9f2a8592e4a9","source_transition_ids":["sha256:4b1fcd984bc1e7662c88b65dc7c33c05f7f456e5b748f2f19e261232a15a094e","sha256:d5bebdc223220bdc0b0ad617a6bf0d861916afe9d8405148efbfe35a31c20020"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000183","trajectory_id":"vlr-formal-v2-0000183-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c14c98c71c52197e35bd7bcd9898230d75abc8c947b408a2ab7e05ebec9224d6","candidate_id":"sha256:aaa9ee6c3f15b43173611cd754de9f36cca7f7c38638b467128dc9d466c74ecf","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 10, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:90f631d8dbc368489534ab105b41560aed5859d1e5585f5442720648b2fecae7"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:175a7386674e563403b46431054e8d7f13f12b959e9129fb8573fde908f21211","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 10, 11, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:52a8ba13b3a6f4755258f17ac3798c661a93e214794a95632d8255d42cc135b3","rejected":{"artifact_digest":"sha256:376b7f2d2677678c3884c606fd773f8a8d486587e19a9b75f73e18798ccb09ed","candidate_id":"sha256:45bab632b7b51b13a40f533612b738d2b1a11409216adf11cb80194e6a58417b","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (15, 1, 11, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:261a3e98ff2610ff84f60ae1762b85c569104e9b530e081adb893f9df1f0fce5"},"sample_id":"sha256:d61943b2a8287b8af709da6319c69a889517491dff859356314c51228f8d2068","source_transition_ids":["sha256:1a5e440fb2c67ea0ca7d86f643d5bbce9888fb686311c9a6dd630acef69af80f","sha256:b80f20e9485f436ab7584c5c04a513eb3c11d336c0cdfc7acd060e855915ceba"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000184","trajectory_id":"vlr-formal-v2-0000184-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cb581f5bae77c2f154aca0758ed4cf7efa3b83d64fce3f5b0ba9670eb4e68d5b","candidate_id":"sha256:9a6af0e6e6d8869f56229d8be3b1dcef65e4922415bfd8bfafa4e9a8725f3722","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 1, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:dfeaa30368325af9a1841a57ce80e5a63debdbec41f65179a462eaa6ab17a620"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:aaa9ee6c3f15b43173611cd754de9f36cca7f7c38638b467128dc9d466c74ecf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 10, 11, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d9b87979bc40c864fd90d5fad86b94b83437e7cc14a33ef89aef9e08ad5f4ac9","rejected":{"artifact_digest":"sha256:d3093c048c50d873af1cfdd059ed495ffbe0487feb90435b161ea019ac7aa7e4","candidate_id":"sha256:e20ba303955044a6dc6d05d270b3449081ca409aad7a4ca9d714fea0fbb27f6b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (15, 12, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9bc5668b1e8a396bed1ebb54a1da1c0e30d6ef1f82222350d1cdeab68c62bd86"},"sample_id":"sha256:b4752ee3c09dd6a18758597e91791318a1f37a3164e99a056a08c8e86ef09bea","source_transition_ids":["sha256:982f6aa476dce3abecb43782d2a6a459757e342a3a8a60fa854d269253837625","sha256:c2156df7f228b663bdcee0dd457d69c7880f4dd850d88f2dcb3630e8a8a4b0dc"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000184","trajectory_id":"vlr-formal-v2-0000184-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c1ea0ff0b497138e49ef5bbec75c548a129c75ce504d0401ee2aa574b1d9747b","candidate_id":"sha256:0c17f03c05145075412b80884ac276f150ece484fff02fadcae9833e52811523","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 1, 12, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8ec107338e6fb178fef9ebf325f09f993fff7a13a77c3bed78625598e40ab1e7"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:9a6af0e6e6d8869f56229d8be3b1dcef65e4922415bfd8bfafa4e9a8725f3722","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 1, 11, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9af84c1d83533b27c2ae7478456e6c55bf2b3fe02d909d699256c920f94aa492","rejected":{"artifact_digest":"sha256:1f844025a1911df784f1bd4fad6754580f1e563c77ab481d59c25455889bd521","candidate_id":"sha256:c7a175446b33741476cb9ab9f5d7e90e81024c90d2579bec8dc66083c74acac4","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (15, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e0f5a6342faf50559727f4bb0a5f3b72e5656600513fe7de6fce29cac4a06439"},"sample_id":"sha256:241c6a4bbc59d8fbe0541dfed39dc43bcf1942ca32583b9e8b7a6a5d78cbfa59","source_transition_ids":["sha256:20196f1eb4dcf7889fd464ba97bf33f69a1757b5cb4c12d242fe1de9a05d2cc8","sha256:8a23db8fd9b65be07e05471bcb650dc200bb043d7a3693c160806a8fc9300fef"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000184","trajectory_id":"vlr-formal-v2-0000184-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:760d78acf9ea49ef922289df2687561a8017ff663781e8c093b5a3a4e95963c6","candidate_id":"sha256:141b8edd23b3f89e46862c6948fd5b23f6f3f10040db263bfa607ad20858ba0e","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3114519eebcba452a448899f8af1dbf2c7aee428a253f51fc4ebd49697be9c22"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:6d15092eec608c39f2252fc5a18b2b3483c9a6c0575ad6e731c160506ba77ea7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 5, 3, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:92fcac2f98f6cf93cf04dd09025583448f9fc899b64afe62bafb68585c17790b","rejected":{"artifact_digest":"sha256:297e99ed059b640403322df3a8d57879422d3c3ef4fac135b292adaa4515df1b","candidate_id":"sha256:b9d998f7758f9f99d2418e2d4ca0a8f7ad20462578d09d18b68a84713d8951ae","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (3, 1, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e68914023d86f0f4735113acb1c2eac780c8c66eabe8b8b5a1e221159baeb657"},"sample_id":"sha256:766572686cc3eb4078bed30ae862ab4c6247913055bb5f035adcb25add228294","source_transition_ids":["sha256:43b317b2133238e67844f9441e62cfd67372dcf08d0a55d1a9fb8f618118c323","sha256:86865a657907d7d431212a0787ea1ca2ba92faf424ee47bcb5cab92879eb1f63"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000185","trajectory_id":"vlr-formal-v2-0000185-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:355acea99817e5f99e9ac7d0bb73ae33dd16e9f401a67b3e220a345daa01548e","candidate_id":"sha256:38c393c1db949bc605fba067df0c50843fd0ffb3a7eb4009e7fc6356dc08fee0","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 2, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c478aad32e811efc83b1dcf07989a22f3bcbff1da54597a58a2dfae739f0278b"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:141b8edd23b3f89e46862c6948fd5b23f6f3f10040db263bfa607ad20858ba0e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:65298018a10b0c9b246614adca83733563d0c7449ef2bdc8b6f68d2015dcf2e6","rejected":{"artifact_digest":"sha256:80dce2a22e68454806e19e45490bbef3d55866d2ed3a74a8698409bcd1b217e6","candidate_id":"sha256:5c9b375363c65d7138be1f66c2bd1d11d5fce6ef06f782ce6a91ebf2535cc705","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:436bde4e9850876d4de7cf35de496832b8e00f9a6f9dd890f120d1bac1e8d71f"},"sample_id":"sha256:82619dc342f89500528ec2019e2379ba8296e3076d22e68f1efdeaa5ead4b515","source_transition_ids":["sha256:8768c626ca43ff1375e9e5801664191dbd237cacf39e9dc197940875da3b42e3","sha256:d0e9f3fb086261b1a47472046b0c273789d3c634466aaa6c73cd430486643a32"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000185","trajectory_id":"vlr-formal-v2-0000185-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0feb0d5e54a84da550e1c060b7bebd119af107c3bcf66fe762404f1c364e30aa","candidate_id":"sha256:071b5c9a61dc54f4241cba90158bf60c9f9fad43e068e83480d37758a05ce350","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, 6, 8, 5, 7, -2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:092446fafadd4e967c00a37701323e79ae6c3611648e60bb50dba2dc3e4aa481"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:bc2d9c2f3e9f11cc0017a5dccbdd65f08cc078cdd99978991af71905436f0b31","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 6, 8, 5, -4, -2)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f003199b15dabc7653cc7cb1b95cf3d34c1b15b2b580c276a9da4c44483d3874","rejected":{"artifact_digest":"sha256:f8d2eeb0251648fabab5f7e94d2677d172064cc364fbad3501eab11affe89983","candidate_id":"sha256:da4f2de2f64551b3464d1bf09c62cb84ab58b184f2321a356afa97dfbb00b153","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, 6, 8, -5, -4, -2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:804902a06445857d19195037851ba41fe0475237cccae417f7b1dbdec9e4ccc3"},"sample_id":"sha256:e2be7c7b67825c3e614e80a2a1c76b0975b54ff4c144d8f238d7fcfcc75a9876","source_transition_ids":["sha256:ddab25636be56679331c67119e4f8f4aa9c00ab05bd9baa15bbbb6940dbb2661","sha256:7f5975279f8668cc75c3d67f5056893d32df33e412fc0de82623d317dd5f8d00"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000186","trajectory_id":"vlr-formal-v2-0000186-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d1b4ba20a5d19f919f9db18e396f50b143a8203b0de0a70ea8cb5db9e3ed1853","candidate_id":"sha256:c6cd22b4aa54f5bbb710ced7ac7d1800c2d220314076d2d6add016890b1c94be","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (4, 6, 8, 5, 7, -2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3252d2791182e9b28eeb31112d0c8e51e943af184c55579aff7980592c7acb50"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:071b5c9a61dc54f4241cba90158bf60c9f9fad43e068e83480d37758a05ce350","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 6, 8, 5, 7, -2)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:905fb19973bb9734b3f09d5abaf7015bda8906ff2730aa215faef1b6bc0a0a14","rejected":{"artifact_digest":"sha256:3131b5dc77c7d1eed90968793017dbe1d617084456f38c8eb2a7c5d7c6049875","candidate_id":"sha256:6c186f771b874cbc65e0ef08add7f1705844cbee644c04471f7d24ab04e9cbf3","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, 6, 8, 2, 7, -2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:59b0d78ba28954bbb89c7eebe890fe1437a4a10aaaaeecf4288bf5a8777ac970"},"sample_id":"sha256:c4d767376a63d0d64b5d2d8c51538017b697e7c55f699c73f8429d471d49519c","source_transition_ids":["sha256:2bb8a3bc69c256725cf792ca61ddcac8a09698287986d7b02900201da1bdb409","sha256:7f59d25b777ac005ccf615fd0baa440fe727137b518bc541851e677478b3470d"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000186","trajectory_id":"vlr-formal-v2-0000186-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2944ad19a299437fb8f2a3b3c99c35d823ece9dd0dbca670bbfc461e8e299453","candidate_id":"sha256:04b5f7eb110357f3ef1e64b9555ec396bb9e93a4ec28fb51dee83dd29eb909f4","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 6, 1, -8, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2ea3e94da41bf87d22b28dcf48fe596242188ad192e008cce37ed38b60b38605"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:fb3292940e251b713d5ea05fe8099830f89772f0f393747b4c4488a4ca688543","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -4, 1, -8, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cd67a7043165c2f18ef3c7854d6630f8d7af9291f54f9491e564f1126a2fed51","rejected":{"artifact_digest":"sha256:18377c63985d41e07a18ebc4e326129f4524c538ef5da23d71b7236f31dacf1a","candidate_id":"sha256:09a305e95493d08c550dac1d29ca35449d149a6ca00ea7e98d23b009894183bc","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, 6, 1, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1c6d5a6105ea6845bfa05172400e11cbdf622e152c92a26a97f7b278467267c1"},"sample_id":"sha256:53758c67403ad33211f01399be434c95d85489d14db62c5134d131fb0eaed306","source_transition_ids":["sha256:5669435582ed03ee8a0ece1f6969b150291521ebb3943a80ead5868f3f3ac497","sha256:69078534194631282d40ab318fdb5c727a25d036a0e0ea9cfccc47ddff1b3766"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000187","trajectory_id":"vlr-formal-v2-0000187-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6331fd5c5c32af10a024ba5d656def93dd8cf57984156f34afdcdad849e2fe85","candidate_id":"sha256:3750c90d564485c666a44ae8820e9a6ddb22ecd010761d2e589f0f8dbad310a8","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 1, -8, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7a04569608e996bbc37f7680bace7852cebc5e0ee83f2c172a0a5003cab3b332"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:04b5f7eb110357f3ef1e64b9555ec396bb9e93a4ec28fb51dee83dd29eb909f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 6, 1, -8, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e6e60e9c9d46c598e49784acde90f8c9c93aac91d0b4ccf8bec55914cb864bfa","rejected":{"artifact_digest":"sha256:d34a16c60a0e20bb94664fe6ccaf29ddad210aedffd3302f57a27cad4d423d96","candidate_id":"sha256:c39a9797aff1db0c965e0cc4c0f6bfedcefc9750f79c59f0945b0b52f873d1d5","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-3, 6, 1, -8, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:66c496950212ecba6448433d86678b55f06da855d530175cdf3cb5e89612d85e"},"sample_id":"sha256:776ca2172e195a3081348e575b540c7a6853afe5c2f232b956280afe063d8773","source_transition_ids":["sha256:515ff59dbf1f72cc2bd45a6736b42446a4f5d91bff2f2ea4e76d9105d1fe3264","sha256:0c1df759c40f1f6fd9874492277d58a5924509adde019a3a49a064e7c70f1819"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000187","trajectory_id":"vlr-formal-v2-0000187-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8f62606770199c5f11a4aea66a653faca09bfbf53fdf0a159547003d3113e819","candidate_id":"sha256:b0be4348fa009f890a1a091a0a9898d2e394d5c5ae4bd7d4aa88a71946ff6031","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 1, -3, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:557f8bb17054f086c1bcecd70a5bdbd71f0da0a30d5005658d423cf892e1a95d"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:3750c90d564485c666a44ae8820e9a6ddb22ecd010761d2e589f0f8dbad310a8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 1, -8, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8d1eda74153f463490c6b1ce6ddbcef7f72a0ad6e481b87fc923d45a5cd83541","rejected":{"artifact_digest":"sha256:cd28b7e87b4b924da846eeafa72e4614e2c55b15904a32d4dd9d9ba050b3722d","candidate_id":"sha256:84a264ca4d4b12f2bafc8e3257496fb4ecb8b0357ef66edd94a89c4b26242125","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (3, 6, 1, -5, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c2117e7ffe5304df1e2d306cee8e21ac577a2556e2a06a5d8fc697f767288b32"},"sample_id":"sha256:9616021fe6c182809a6fed71cc981b1edb7ee251a57cc4c52a0c79b0ee86d30e","source_transition_ids":["sha256:06ef5f06d119932a6da74053cdb18dab95e115496e46fa25673d45983efe599c","sha256:457c4b3dc59997502b71ccbb207eafdbe6d979e015b4119e6c2c1c78da04362c"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000187","trajectory_id":"vlr-formal-v2-0000187-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:20a0fb899df54d220140254cde6008e2ebafb8942474a56db94bddf825cc50af","candidate_id":"sha256:b0d3b33854cbe6946c35db6295e4c8e2b7448b0102251b883fd48c0143ae9887","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, 5, 8, 4, 8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8560926f62e4abbbcbc361631f9c586d732e425c0d338cce18bed1807aa886ff"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:a04795b15f75498458b81d057312979751a19ef3038ee8dbae3ea137b149baf0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 5, 5, 4, 8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0434967a4bc682d59715e0393e38b561d03f5ed1fb976356dfd531f7b688fbaa","rejected":{"artifact_digest":"sha256:013e8d8a71bd9c00c9f69d4d96ac013aeefb143acfed58c57282481ecfddbbe2","candidate_id":"sha256:13cbac9b8fca40af7f49b22143dcb25a2666702d1d302d6e8867fb0da8a09976","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (0, 5, 5, 4, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fb7854e8b9411199e17b66c44ddb5fb8df7ba290566cc33771498d56b66db565"},"sample_id":"sha256:b04304faf81d630e968ac38ec6655f69128f108e4589166eeda9af6d82667937","source_transition_ids":["sha256:ea60811d51f261429d6d28ff38a2c62675d2411e6119f29c7523061da05627ce","sha256:e6d66809bf824df483023d802100e16fab75763ac3f9dc3013fe28a6061fb892"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000191","trajectory_id":"vlr-formal-v2-0000191-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:575856c58a31dba1bbaafc6d6e51a9988664605a4a97b7faed2ee79ea74ec963","candidate_id":"sha256:ef1c44246abea46153da2c49ce2d4df1b9993910835784acfe9ec5cc0d555f7e","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, 7, 8, 4, 8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ab650b152f48a66acf3960991b76bea300bc409b0097ee994045c519d50fcee8"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:b0d3b33854cbe6946c35db6295e4c8e2b7448b0102251b883fd48c0143ae9887","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 5, 8, 4, 8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1a6e9224aabfa0cc8315f96b826902c516f2c7b80f3d898df797e5602b9240a4","rejected":{"artifact_digest":"sha256:e2a5978b2f4043f817bd9b17563913249e4a9ecc51de8f9c75c408b86c7079a7","candidate_id":"sha256:384245210550b8257612a62235041eb4de9fa56d67a36bd80789690670bb129d","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (0, 7, 8, 7, 8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3b4acce42bcab4ce033e177eb745b937730b838aa6711612906eb6782ab765b9"},"sample_id":"sha256:1291644b9a8de8c9d4916291463a37018db530ef5459f757128a9d7687fe18c1","source_transition_ids":["sha256:8fc2aab4e86c925bb73e81c5a9e149bb404ae4f17a2cbe32f7022e39d5909ea9","sha256:eeec880ef3b439865bb1cf4fdb55c2427a8e7c7689d8a4391441bceab060bbdd"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000191","trajectory_id":"vlr-formal-v2-0000191-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:14231537418e20f3ba9a1bf18625820b4a5daec2d9da53cecc8b4caf3f07d1e7","candidate_id":"sha256:aa9dcafb5585abad8ea2c8124ee2fbc40d96b77af7c7d285618567db8fc7a1f5","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -1, 3, 7, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ad07ae89903c1425b0927cc46d0407f7dbacff1583f89575afd4b54fa038dd72"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:40bd565d6adfb44befbf6df8830a859677096dc2099c1e4f5b71ed1e8020893f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, 3, 7, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0a918d77bf5c60d6256b1119d03b38a233b5f282728fb1b50b5936e6b73cf563","rejected":{"artifact_digest":"sha256:fd61c80f56092049a239487f8afeec9a66ddb142dac36c2ec30d5e830b0b2470","candidate_id":"sha256:df4b0073f29e3fef7b5245b649dde25d585c72baff50c8b7f7dc4983aee2d55f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (4, -1, 3, 7, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ebddd99e32c466c8f497b07f82e7755b715de8ec5c9e973c84020d4fb2dcfe27"},"sample_id":"sha256:a40b0a788d0fa1a9402b3fe180456097573b4ac11ba1283de6a6ddc9b184b96b","source_transition_ids":["sha256:ea2c597c4a7ee6985ac884eb0d17d7943386619b392fc0ccf722cd97c5168e3c","sha256:d52314babd0aa7cdbbb96c37722774dcd806964efdf9a72579aa144e9382a686"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000192","trajectory_id":"vlr-formal-v2-0000192-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a0e111fb2d8122bbe9937ac86578fd06f8ecfdbfdade389f1a9565da163570bf","candidate_id":"sha256:463761fde9796c14f179e1ed7ea227fbc93ecf02ab3c3bad96e3294752ebdad7","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -1, 3, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:947df507d38c4ed3fe0709935d524b13a5fee74ecd35fcdffcc4b5ce3f5d987f"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:aa9dcafb5585abad8ea2c8124ee2fbc40d96b77af7c7d285618567db8fc7a1f5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, 3, 7, 7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:415a4da5616caed8b75bb58ff06ec20c907fc8f59ec9ba157824d1fc075bd98f","rejected":{"artifact_digest":"sha256:847e21ab3df44f353348944ba263292233861d1e97ca44f7abb896acb395e019","candidate_id":"sha256:40bd565d6adfb44befbf6df8830a859677096dc2099c1e4f5b71ed1e8020893f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (4, -1, 3, 7, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:aaba9e6651957fe22d5441b944b5235a1ac57519dd28297b2d86685b849002d7"},"sample_id":"sha256:532a064173f00c0f6fbae74c8f03f1e5e2f2eaf92e68e6b7f08ae31fa64d3bed","source_transition_ids":["sha256:ec5727ee713ae7fe46959a75c49ccc3439769e04318eb6b2b0bc027b816caa8c","sha256:01a0845bb6d6c78637b308052e01b18ac10dffa5c721fbeb948008bf11cdfbc3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000192","trajectory_id":"vlr-formal-v2-0000192-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5990bfbe748856026f594caeff24d92382227e562bb336bab2c5ffb37b90a86a","candidate_id":"sha256:ca0284e743dc1417a2608465e970b9b7e7b7fe889919f33f7e6f47658c51bf61","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -6, 3, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dacc67a80ac346e2f6d3e062eea6b3e99cd52bb22de744d19852eaaaf68fef97"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:463761fde9796c14f179e1ed7ea227fbc93ecf02ab3c3bad96e3294752ebdad7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, 3, -4, 7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:aa28db69164fc040a5c5447a374292d3772b925778582363fa0202e88cd77e4d","rejected":{"artifact_digest":"sha256:8c46ad7413218a736b9672599bdf54481ddc2527ac13738954d5c74e85103a65","candidate_id":"sha256:d006f37954d625f084aee716bc5f7044158953d6afd8da1d16d69238a2c22645","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (4, -6, 3, -4, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:44bce376229477663ebf11bd52ba4c70c08d91e949d61be8d5b4087be6c85cb8"},"sample_id":"sha256:ec3231b87c9d367792a033459b764d40fe8aaaf6c42f325739f65fc3ba63c282","source_transition_ids":["sha256:3689ab6e1f540c02004355b7f75df432716ca4cc919651460ad5d714a791dbdd","sha256:39d9029c8e9b4788c18b1c491af0de74ec54894e61e9416e1d222ccd8dacc0dd"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000192","trajectory_id":"vlr-formal-v2-0000192-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1dd9329beab8550e724003403a95f1f86ff34e656ff0673a7e27c524802fe5c1","candidate_id":"sha256:b1ea145310c1ed398fe7197e5a84b716036208f32a6ec9dc56eecc670fc6ad80","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (5, -6, 3, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b5aa324b0d712d3615603c8108e448ffc4d9fe3b359bb1b9c687ecaf9aa122d9"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:ca0284e743dc1417a2608465e970b9b7e7b7fe889919f33f7e6f47658c51bf61","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -6, 3, -4, 7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f0c47d3850e7dc3cce9920e1188fb79238ac6d0571a6bdc2aa87b55fc939381a","rejected":{"artifact_digest":"sha256:955949c1fc69766eec3b833ff1d3aba3744efc8e45685588ad09cad68a3b4fbe","candidate_id":"sha256:d9c8c5059efc5a611a92670c52d55d18ea06f82ca7ec9c0cb346bdcfcc9cb7f6","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (5, -4, 3, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e37da8c29e6f515d51a865cac7d3e319c0c4e4784e6cf3ffbb17cc47b68bb1c1"},"sample_id":"sha256:af65896ddcaf996d7e12473e259ea5dfb186d8edade78d9fce94dee21ef99f26","source_transition_ids":["sha256:57422517999cab035d4f5a152a9bc98da2213db6da3d3f9fc8c14080a7533817","sha256:3084f7d76726bfdeb56995cab569e85ff40a31c842f416573461a412418f7bc8"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000192","trajectory_id":"vlr-formal-v2-0000192-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:986170e8befb83dbc0dab77d9c8f3eb249357227e0184725e12a68d4c5692e70","candidate_id":"sha256:a178fc799377472d05e536f45f790c7b5b46d0fc968f16e08c234391a778ed89","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (5, -6, 0, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:7c485549d01f16ad67efb784d00ea6a082747a672c903fa06366674eefb22c7e"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:b1ea145310c1ed398fe7197e5a84b716036208f32a6ec9dc56eecc670fc6ad80","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, -6, 3, -4, 7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e8b5b4cb0d3415f5ef4145694725949c908d92dea72b81876627f372a9e1d1f1","rejected":{"artifact_digest":"sha256:29db7a90bb2c3ca08224ee768ec051a5ded85e0b95e808b0e1840915b1861ccb","candidate_id":"sha256:5e410bf75f2b6523c055c2226432d8163bcc7187df8626f19a81d375a316c779","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (5, -6, -6, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d0d9e9a94f872cf61df5352e61abaeeaf2d347348acd9228f689df6fb4ff63f2"},"sample_id":"sha256:fb175263392ee4b5dba0e31bff21abc2629f2520097d161ce3da5e14940d5fca","source_transition_ids":["sha256:93a4c1df913585ff98a9becbbe572ae2b97739ab9933928a36656513e4802216","sha256:c50d5dc30d9528de2facd8560f45051b198f2d44701de878a07bd6bb32fccdb7"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000192","trajectory_id":"vlr-formal-v2-0000192-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cc6c5ee265afef6b1c29ffc190cb4273e199868a642e44cf5e46f4e5b5d8d2e0","candidate_id":"sha256:229d2f74b22d4c3c0d73ce30b6f8233684746c0a55b80956fe892fc74baca2e1","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 1, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:92c6d4403d8e04a9d232f33a222347d64861e881577ea5a5b88884eecddd4d33"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:a7910aa4e98535a8a5a4ab1ebabd809c8d247cf757a42daba7f0cb488ca1f6ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 1, 8, 4, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a4259d2f0043b695171e743bd3021e26cce2406f61648ee7dac8d11dbffc314b","rejected":{"artifact_digest":"sha256:0da3653db3b4ba91eb0b01279926f0e64c3048b2a7ad021ea66f1d84f7ff1434","candidate_id":"sha256:eba6ee496412868f914ca3ef3a19e74782e896f2ce0dbf38330e6e13a1439a4d","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (6, 1, 3, 1, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:742c15af1e8e7754908a6b279d04beffe11482d1549a8a4651847f6f929b494e"},"sample_id":"sha256:9ec0c9ea2f70f62bfc56fb131cce72c95552cbe794723304460a08caa77da18c","source_transition_ids":["sha256:7d11f4e48ab94808f3fc8902b52b3122a5f275a45adf36bf1c05c02861e46ba7","sha256:b3852fd15ed97ee057e62f8ea90b024461885854faa0418fbc0d62cb0dcafac4"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000193","trajectory_id":"vlr-formal-v2-0000193-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:86f2526cf3863d5fa9c96dd131cf507061305e28e1eda4e55d850ed10416fa6d","candidate_id":"sha256:0fbf6d985c0314584a66dff2a6d34cbce7bc705d1c6d4c92b7d7c49e98c4791e","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (13, 5, 2, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e80b64d604519ca79a1e96250d462ed6890f361e72c463e999d547af4b4df21c"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:3994c276aaaa80dd332c93f6bfca2f1f4db7388752cf57325beee3f1f3b95179","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 7, 2, 15)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1a0e60e6562869781d6657421c3fb3b43db6484d1ec8cb09ccf77923144aaa10","rejected":{"artifact_digest":"sha256:30f428d3e7f64728413f53f31a249addb142b30984119f7d105e0aeba9af47a8","candidate_id":"sha256:eff8eb7725a27b437b1c8b546e1fea1e97c16b8ede43f908280f1aef0ad751fb","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (13, 5, 2, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b4e38a08f635aac9411d7910dac388d2aecf43d2bd69c4f5c7e72e86cd98bd51"},"sample_id":"sha256:abc25b04c759e015ba546773e6bac5d3a265fdf3099e6f060704ee7eb8350f91","source_transition_ids":["sha256:74f7adb5e89b0f3bdad81b298d13116e36356b240e0f4bc788f47c73b36b51c1","sha256:4e7e95a4045f64a8234cb920b28eaafedd410705dad1a20243114a6235c74ad3"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000194","trajectory_id":"vlr-formal-v2-0000194-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4dfe68cede83266a1d4c33a56cff8b310a7650e97c3b68bfae2064ff4dc27fd5","candidate_id":"sha256:5fa7b1f02f79a969e50226314f4456ac07b28273db88ef309c3a86bfc500726c","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (13, 5, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d119617e9ad991c312f46f5bc3009bdd14d3e6e3822f3f7a88248c145f212e33"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:0fbf6d985c0314584a66dff2a6d34cbce7bc705d1c6d4c92b7d7c49e98c4791e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 5, 2, 15)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:599e77f8c925c837af4eba67c44833d435051dcf5c224c6d025ad8b4749ecfee","rejected":{"artifact_digest":"sha256:bd3a98c34775f1b2c6b9e5d7e953cbc051442d8a7c2848aebe93984b75ec7fa7","candidate_id":"sha256:345d83d5baef93747dbd8c1a42bb180508915055cf8eb3462f95a2d19505e3f0","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (13, 14, 2, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1a27e387c888ba4ea870c7968442d50e8baad60bd569e55647f9361fc3f37cfa"},"sample_id":"sha256:773dd200906873eb1335909c75acd89937fde06a35e1083a0040b2bb61e3afa8","source_transition_ids":["sha256:5a4b5d7f6a64488554b979e317e91d92ae76e4e194460ec4adf8bbb9e4dbf519","sha256:8c3ced605ff6ca581a6afc7dfd454c32d156a577d840ae39ad59e0e8b886102e"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000194","trajectory_id":"vlr-formal-v2-0000194-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a94244fccbee9d1132de79d45edec3fc1fec7f19bf08d56280baff9df13afe49","candidate_id":"sha256:b7883a48776a1a3d2ad2681132fb0404bd5bdd80a6c3a25275dcc63b664fc772","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (8, 5, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:45211f38b5d6784daae96ece9f071fefb6ac19d5cc789f02f4ced8562a76b8c8"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:5fa7b1f02f79a969e50226314f4456ac07b28273db88ef309c3a86bfc500726c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 5, 7, 15)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cf69738cf0d641be0e85bffff208161c75ffdca02375bcc890b88bc9ae103159","rejected":{"artifact_digest":"sha256:71a371ad02bf476cb526d5f8763b8159b4274dcdea26293b0238b08f01c715eb","candidate_id":"sha256:1ad7761a25832f947e3beeca4955c9af7ea8be31b6dee3bbd17247f8eecf3a45","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (13, 5, 13, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:937d97dee82c4b1af08c2d721138c78058b795b0c2e4943b0c44a26e0eedb441"},"sample_id":"sha256:7d01f70724e1dfd536298aa3b7df98be5b545c2e59be5850af60a2257461e611","source_transition_ids":["sha256:079eb796026565e8b220390908d33227328e6261e3b7cd15f34f10babe30d6c9","sha256:8ae4e2dc3ec6ae00f7e6572257b6bebf5b0b322541f4113e0c1570c2224d567e"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000194","trajectory_id":"vlr-formal-v2-0000194-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8c7bc84a973237e1ce340e44dcb859a5af558554157ddd87f817cc9109c67502","candidate_id":"sha256:21cef0270a6c3a9049490f27570c8d5840f0079a25a41e6807b831562cbb7e8a","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 1, 4, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dc5d36e165648aefb69949b21421e4304be59d545d4236b9fa8fafce4bbee08c"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:0aefe1c2b563cf8e8fdaaf10c6f25d1d47a9b17bca84b9265392d4befaf4171c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 1, 4, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a4652a82ddaff97d78122960e92a2f7f3db293ee6f160f45e553c05ac7b43508","rejected":{"artifact_digest":"sha256:9f256f18c684c5f6e9cdea69b4d845139315233951b5ebf375091af6134a7b9c","candidate_id":"sha256:0c9fda970df8677b1ede67dcbd9fbb0826e20f5d48022688f48e78c7c5af4631","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 3, 4, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:63023e4f35e6da66e0df577abc90a9669007637add185b5b135273d089c30914"},"sample_id":"sha256:a5516a12a20c933292a114607e2cc1814774a36dcff4a23cb246c0694b4232af","source_transition_ids":["sha256:56adadd32104caf399ff8bdcdc4a94e3dc02b0b5dd2f2f8986ce48af8a3610cb","sha256:41bdef779583c78365c6616b80a6c079d07fb49e8492ce3bf70558670e6be0c2"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000195","trajectory_id":"vlr-formal-v2-0000195-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f8839db3ed437e5b3a8934b8359f1ade9935c68a8b126ab34dcf89aca418b850","candidate_id":"sha256:ea5ec90b7417096fa8af79563c5f02db11eab6c1861b5bbbc6ac9d5b99c67934","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 1, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:066383df95fd69fa172e4f812f5ea22d5d0a2b3657bb79d943b755285007803e"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:21cef0270a6c3a9049490f27570c8d5840f0079a25a41e6807b831562cbb7e8a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 1, 4, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:30b2bdb65104d614f817a6cfabbfb62be96401471673e1bec7fd312dcce6be99","rejected":{"artifact_digest":"sha256:efbe7556f1b4517404039c17ffca7e167a82949eab7fae597c0d33c059f09ef9","candidate_id":"sha256:9f1b57bff5d38eadf79ea48c5725eef9673f60c72e4b6029f87b8959b13903b3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (3, 1, 1, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c598e56b52b90e1ea2ea8ac19f5052750d0c9adfa0154b95e00b79d4f28654b8"},"sample_id":"sha256:ac62bc017a23d6fb34802b47a1ee51bbed36fb85e98854f990d0e54d052384f1","source_transition_ids":["sha256:187b7e438d88ccd60bbf4fed6024ccd97697a9b3d9ff988974496968062d608f","sha256:a2b470b00b5ea973eaf106fc14895be9027309456b4ccf03b4ae5629933ada92"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000195","trajectory_id":"vlr-formal-v2-0000195-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cabb21d287932675b40d87a54175a371025fdbe36dbc8110090462c8680d70f1","candidate_id":"sha256:b0fa4924bca2ee35ac23e1acca857275440193976bcb31387a6ac15a3004dfbe","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, -4, -6, 6, -1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:43ab6a78816e26aa03daca1f51f430ab39059dce25dd9c20a4af302f0bcea9e9"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:198ff7c38a48f64a37ee6b2cb63771768bc0b55c0c1151925595a31ad156616e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, -4, -6, 6, -1, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:86ffee66c9104dc0eb427141e0868cf4f5d4344904609dc5b07de5cbd127dd8f","rejected":{"artifact_digest":"sha256:bdf7f4a307f508f909adca0fe62b4bc4d4a5bc90503add37f9e9650c563d08ad","candidate_id":"sha256:5ef7fcbc2323993169d975c315d67412317dcb2d0ec9c01b871f8ff0ba804ceb","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-1, -4, -6, 6, 5, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ea9470d604289d96290c99c7c49eaf40eefb1f1bbeec40b1f58b558007ae639c"},"sample_id":"sha256:42ad6b252240e83ab56510491292123fff0b5a25362487f77aaf7b1b773180fa","source_transition_ids":["sha256:b5adffb5870f509d3bc09941dcf2ea156cf3162ed37a4dea085ef3834634b949","sha256:9c6119124c6433bd39eb35c19e8847c716ac9e38ca75241255ebbb3e1ecf8021"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000196","trajectory_id":"vlr-formal-v2-0000196-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:30b83d44fbd669faed398d6359c456235d67c7daf27b523b55e886d33fa84b7a","candidate_id":"sha256:75ad68afd4cb1321c3dcbde6fc634c943fb8cc820481e241927b346372997ba6","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, -4, -6, -3, -1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ee4ea2e85a9f3d55ac190cb1e2f31a5de11bae5d5dc1ccdf37ced4d868dc07b9"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:b0fa4924bca2ee35ac23e1acca857275440193976bcb31387a6ac15a3004dfbe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, -4, -6, 6, -1, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:de2c87ea38c7118649e054680a2431eede92cb9d0692fd5cda46a6a93367e55c","rejected":{"artifact_digest":"sha256:ba2052952012ef7b0153ed76709adc695ed6613e09d664eb02c65e69aa605a8c","candidate_id":"sha256:4b5fd4cfc559788848f876c7de0d38fdd42081de53466f543fbcb0256424ba14","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-1, -4, -6, 2, -1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:822ac68813384c9afefc02388b3de8bd11e155094cd4a3880d4d61af813bc514"},"sample_id":"sha256:73237fe77697652af375b99110d3af5be492e4d98a0f34c1eeaf017953c4f711","source_transition_ids":["sha256:4e54754a49c8d8e1ef665dec7e52f0fb3b460595bf4754f282a68ed2a436f4fa","sha256:e49f70199d633aefaa8effcd1ab889106024f68cca44b89f91daaf20cfba92ac"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000196","trajectory_id":"vlr-formal-v2-0000196-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:355e27ba054eff42ad88ec81b941a02887a705773dd9d6da376186c39a4f44ea","candidate_id":"sha256:f2d515bfaa3ed7f1d0ee3bde15b6e459a2e2da65be89af3e6532c2f3ebd0d5b7","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, -8, -6, -3, -1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a2af5f2120bfcdd50d968d2dd28ab17f89ca163426494eb914c2b5cb8d5c0c25"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:75ad68afd4cb1321c3dcbde6fc634c943fb8cc820481e241927b346372997ba6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, -4, -6, -3, -1, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ea836f23a2d133293139a960c8e934051fbcf02dfd890af4203faac3c818781c","rejected":{"artifact_digest":"sha256:a173114e3592a519ee6e528fca1e199fcfb35b9b024bbd379f02b534d060f88c","candidate_id":"sha256:5c662d0c9811ab8ee26dc2e29cc5226ad2edaa59bfaa5dec28c943136362f16b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-1, -4, -5, -3, -1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0c7dca99141e81c410431b59725aac9e90bfd48988c1452cf5844a67deba3fb8"},"sample_id":"sha256:2b92ec18cb5aecc0f861198748a28cf74cf6d7bd11b6a8b3628e12982199eb00","source_transition_ids":["sha256:b600a5084f6ecaf8d7afcbc66cf6ea60c73d670cb5b6b77b606f8d6e13c15185","sha256:e330f326b80c40cc7814357d575c41a84093954ade8dcfd70ccdac5453109054"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000196","trajectory_id":"vlr-formal-v2-0000196-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1b8e8f3895999f12b9b2babfeb3e739c04027952179325ba4f51f456f5828452","candidate_id":"sha256:a5e4a8d3b349ddc311e1d1ea30202d664502c7e00a7c3f5c299e8f3c50bf0935","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, 1, -2, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c60df0401d1b990b286e053df7a515ee9d32ea6806b36b5dcc510a08afbbcfc5"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:bf40fa6c8079b5a66def06ac57600a3196d130dd9d40ee8014c93393ff16b40b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 10}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, 1, -2, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b6c897d861c4040f02355d2f7111ffd74e63742b3628e06f373c0094ab3a6d75","rejected":{"artifact_digest":"sha256:269a5bd56c223d2000f00f7329f367f062bf1c7c5bea7e53a9be444903ee66e2","candidate_id":"sha256:967f58f5783148356d56fcd39f974dd7ce77d5620570e665d192c35a44451148","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (8, -3, -2, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:51c73de4a6d5e2ba1bc71b377bbe7aca63e5508f2e1bbc88588e3b6ebe6f6b82"},"sample_id":"sha256:463e663b4072c72adf5ae658bfc745b23f73b602d15d300fa360ffa20939fa8c","source_transition_ids":["sha256:99840c5dbaa5b85e3b4c74aefc69b2816be6fa17ed21a73f6e3f96e829375247","sha256:db04b196c3426cb2891f5724516ae65b7fb8ae1acef2704c02f36c67c4d0b06b"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000197","trajectory_id":"vlr-formal-v2-0000197-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e9392f86fb3694d37b99adbd5645353cce27a3376f2585d370d5db8898f84645","candidate_id":"sha256:bf15d8f358bb46de518b7269b2b79e1b6a9577627e11ac0e46f0afb28b7129eb","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, 1, 6, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:93890474f7ec04e4bdf172335fb937739ea8d216ecea39a9158ad2eb8a4d31e6"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:a5e4a8d3b349ddc311e1d1ea30202d664502c7e00a7c3f5c299e8f3c50bf0935","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 10}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-1, 1, -2, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a136452e5b8852c2be01595ec3408cba3a8b2a7d59c3162f4c01101de56c4a92","rejected":{"artifact_digest":"sha256:bd9f568a25977d7e8b214934a6d89efe9303b58bb32bf59cd27a3b8f65f6a9df","candidate_id":"sha256:fb9aaa801957d10efa5e85f930c8272a628f6f3ee8bc75904976eaf08503e48d","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-1, 1, -5, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8cf5c14814f0cf15fe759287dc6f63dab3d4cb909f8241a36ecc826e8f58d791"},"sample_id":"sha256:320c30eff5d1ea86d873cfa001d8514ec72a846d22cdf31bb12499245ac964b9","source_transition_ids":["sha256:03012979592b73738a3b42f997281ffdc2b0c085c80f87aa67a1a22b44e93df9","sha256:ceba74e7b642ead7ea91e418c4948e5f03f56658127ae57af44f623db3d11a23"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000197","trajectory_id":"vlr-formal-v2-0000197-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:15b04e045f9c058756f4ff29f0ea40871fb2879dea8d1899cc14704811821019","candidate_id":"sha256:f492aa6eec5210b52ab31bf5d2d8b992ee0554bdf2f9ddbf0828d83306407d02","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, 1, 6, -1, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:764375434b4cc43adf5530cdfa51d521031840d080d57fffa8dfeb6712f662ae"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:bf15d8f358bb46de518b7269b2b79e1b6a9577627e11ac0e46f0afb28b7129eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 10}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-1, 1, 6, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:563d29ad10c44db9ca1fb0653849308fb8847d265159edeb1543da6d6abec12e","rejected":{"artifact_digest":"sha256:4107cb65c069e49924f25a6ecb5427ae7f4015f287540eeaabd498ee502b3100","candidate_id":"sha256:2b3af8a2b09682ab1b2691b52fd4fd7b699645016f97b1e863fd337cb9d10718","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (1, 1, 6, -1, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:55283c7fcd5d42496d3e8ef4d87036645695a88ea6fe76c3300dd59aa528b9bc"},"sample_id":"sha256:c5a94e0ccdcf07d5315f85d57fa7aedb37fc3167190b4ac9b91cbfc8dd685769","source_transition_ids":["sha256:cdf4cc1c4478567460833415e2e3d8f55ec8bac241da53cd480d6d9181ee946d","sha256:b2e9bff1cdf10d359ff713069b4c1e9afb64c2e870811a4eb7ce29c89b182c26"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000197","trajectory_id":"vlr-formal-v2-0000197-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5f7b7e2edc9951e41159283f8fe38925aae1663f1cffab84dccaa62bcb881f6b","candidate_id":"sha256:c9e6fc758970375abcef866cc9b7b8a02f3481a314bbc36a6ff8fe1545534b0a","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, 1, 6, -1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2e981c7adfed028c75820784c8aba37628fb3fefd37abe9adb0933fbf8af9937"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:f492aa6eec5210b52ab31bf5d2d8b992ee0554bdf2f9ddbf0828d83306407d02","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 10}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-1, 1, 6, -1, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9751930cdf7560114138b412b40069041bffeeb834c5074a95a02bc8f09481bf","rejected":{"artifact_digest":"sha256:1ff6b67857ec79542ef9278a154d76f443fcfb4d2c3b069c193fee15dca3dcc3","candidate_id":"sha256:9859e2cc49b899f4cca5c4f818b9bbe41086d16025a5998db3e3a3faa7eb8f0d","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-1, 0, 6, -1, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d56ce49f6d37efc423b90cac5b52b224f69be8435ac3e0bd4d984d737bbe4ad6"},"sample_id":"sha256:f809ce1d6d0e09a32ecbf478dfc05bc86df8e2e89ac284dcf97673a30c91e2fa","source_transition_ids":["sha256:9d7e21e9745813ad39e9a959ede3d213329d1b6e887c4cc8c9e9b47f2545f9aa","sha256:9cf4923460242dd5159941b3b0d89b3ec3e6063c7072c47736578a9d75b2f448"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000197","trajectory_id":"vlr-formal-v2-0000197-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:85517f464f7fc38228e385e48c14e3443a391e1a2c754b0cc173ef027738d2f4","candidate_id":"sha256:73ab66cf1eadb4ed285a20484232a4da8f7870d2904edae3d0a278ac08a5eb67","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-3, -8, -4, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:902824209cea175b5790209b6576fe314cbacc38b8483df3f6899d4f98278d8f"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:bc1a440a8131325cd6d47042a0adeee87937665de7bfb56c5553612f5dc67c10","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -26}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, 5, -4, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:30b2d2097ab30d6e0ff407ded55e00c085a6cde06d36acb92c92385dbbefae78","rejected":{"artifact_digest":"sha256:d5288f419d45aba2d533650f650c63d8c78c7049417f56bb7d05ebfe4934566b","candidate_id":"sha256:2f2a32f659d283cd3fe8434767b06ec5d4b5fbdbec2ce0e46c63473d184f94fe","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-3, 3, -4, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:86e35c2b39350dbddcc8a56e220b48fe176455c32024d25b9113aa0552f24a27"},"sample_id":"sha256:7792bdf9303ff438248045d3bfaa162ac5bd99fe6a10d8203a294c8d4b0dcd9e","source_transition_ids":["sha256:ef38456268b58c61b73ed5921c51874e5ff3225cf2e1418e02ee9799d9acfa62","sha256:a33887cc05243ba0c69adc480c81326604c56b30d4e3d0e05e57e72ad542c795"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000200","trajectory_id":"vlr-formal-v2-0000200-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:59aea9b3f5757cc54e645d0620d4accc30b19aa34e640d3b2369af9927c92027","candidate_id":"sha256:f1756b24bdc5cf6d298baba4a71d997f91ad52870739bb115fd3549cea958774","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-3, -8, -4, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:ed8a70572041cf7586f22b42e30f622a0dd9adcacc0aea8797984b6272fac3ef"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:73ab66cf1eadb4ed285a20484232a4da8f7870d2904edae3d0a278ac08a5eb67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -26}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -8, -4, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4a658d18df3a6458d81b4c2dbeca0eb686374fbc306baec0ce2b1292d856737a","rejected":{"artifact_digest":"sha256:ab86a2d8a4d0321d57fef4841973d091f29244be6cb1521691659497816ba1f3","candidate_id":"sha256:f07b3659be43382b341c2cab8d9981af7fd445ee46499a92c7ed04ed675a0be7","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-3, -5, 2, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:f54a62f475ad996197549e9d6dbb1058fd908a1c7b89ebeb1f6f340a72096344"},"sample_id":"sha256:601c362b4af164cde2f29d84107e9cc8699d061695e57f65a5287a54c392df5f","source_transition_ids":["sha256:6451b4147357785713afee54c44b2321ed87ab40fc3dc5ddc5c4cd1a423aed76","sha256:3539c21d4db4c255ab6dc29e7026814d240ffd8b076951ce9be4bf0332f6c1dd"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000200","trajectory_id":"vlr-formal-v2-0000200-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ff264c6d430afe3f282ad1e0ae850aa3825a7c1faaff4573b484aa87aecb1c79","candidate_id":"sha256:4b4297db67377f837d77f084f96a65eedf30201f448fde2a17e5a4ac1811eff4","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-3, -8, 2, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:1da99de6a854edd99d1c45e306ce6f83e33e6dab78ea767aca4ac504010881b1"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:f1756b24bdc5cf6d298baba4a71d997f91ad52870739bb115fd3549cea958774","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -26}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -8, -4, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7c298db7cc861b1d311df6589be1629e2d40531c90b6cc29cf8b2e88e196c625","rejected":{"artifact_digest":"sha256:c31061456b2419ff473022167ad0ec28253b6577e0b9f3216f4eedc03678831d","candidate_id":"sha256:3d946f30365c0f3e4594e0c50903400d4b55221b229f8372ee66309f85a494ac","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-3, -8, -2, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:d740f7eb42c9310c89055d29b38516be1cafc8f379b71f4dde36aa58e2ff31a8"},"sample_id":"sha256:ec020713b062d72988ba9db4b09bac44a33cd54d6cd1e7628735dc100bd463ee","source_transition_ids":["sha256:dfba3029447fa835ed3ec9b6642192f03f900dd3a9c36db30713189ebf02bc1e","sha256:d6e27e28915ede3022a934b0f832fbd44c512242327c7046e918417930573fe9"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000200","trajectory_id":"vlr-formal-v2-0000200-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:28fbfdcdc86ff4d798abc56eddd031dd4ece2a9eaf2e6e09065c99df0c0f0572","candidate_id":"sha256:5a1b7143c87294aaba5ef49ca6bc2d6fd137c59d194dd5d29fdf5fe2d4adbe25","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (1, -8, 2, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:7e07bee53fbfc59dafb01dc5184ff09f398a31e57293f54b6a95906a59a7d445"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:4b4297db67377f837d77f084f96a65eedf30201f448fde2a17e5a4ac1811eff4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -26}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -8, 2, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:80588153b14bf8387bd44f40e4b8945d0484a3737863c16fef3e38bd96a5fc80","rejected":{"artifact_digest":"sha256:00d901f299f4f3d3a58398f0fcca54390f8379d248ea8c88787ae80553be7404","candidate_id":"sha256:ee5fba5d25abcb0ab92e3081d39a618f5060c06d0a9089b9e3c3b62cfafddeb3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (7, -8, 2, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:e1f7fb7b9f28dcb6b8da11d09feb1fc7b0af0cd0b2de85827e375a6b81b3b01f"},"sample_id":"sha256:4ac7a380bf912cb32fbf77a42d800090110a6b221cf7703d16ad6b52c1d4719c","source_transition_ids":["sha256:d4b864d83870976b1df5b60107742360c5756308d25d1594e7a7d98f3a9241ac","sha256:28329d524d06fc54ee81ca53d2184950c9297974f50a02c91c7e4a64460c663b"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000200","trajectory_id":"vlr-formal-v2-0000200-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5782b68b50db780ea92f7347fe5b618d1d3f773f38dd19596c43d8b22ba2045f","candidate_id":"sha256:91606896e4bcc37214498287e7783d1355f9e97efdd750230fc626bf6b54aa29","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, -5, -4, 9, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d4559025c2f2e8908b89b083fbaf305ffa06892e6448f2bbc47d1ef1a933bccf"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:59d0ffac34ec43b0760daa5b569e5344bdf1aa16825130a246ceb39e1ca70df3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -5, -4, 9, 7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f68860f617ced6181f915e374da3ccc081cbc2cac022d71c8b0c0922630d304a","rejected":{"artifact_digest":"sha256:59f59d6a8503ee4ef9190f1a7ed191e0c5f18e42925e9a40081968b1a9eb48f6","candidate_id":"sha256:19d047da6763750b08a4a31d183528255860a2c236b0088a35c18e1eab22f861","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (0, -5, -4, 1, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a17938dfce8ab81458c5affff5db87a000e88c16afcafa505ae527e36c5425c0"},"sample_id":"sha256:6ca5fecd08355dfbc6db5f65ab3bc6d8b57c58de01e556ce92ae759cf0f5d0db","source_transition_ids":["sha256:5038b759ff536f6c1b8f27fcf157700bd269dd8c5a8227f19a8b08a19edbf8e7","sha256:680956bc1e9b5294b60766e2f42a27d9f14cb4b1252c57534a90d3559ccc2974"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000201","trajectory_id":"vlr-formal-v2-0000201-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c86bc34eff8a7f34b5ab7700592974e66d828441a656aa39cb0f6b9290bec942","candidate_id":"sha256:042fbe1a46eb2d45a0f8fb2828d1b6548e48951a51081f6da7d685ff12789ae5","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, 7, -4, 9, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:26c5d0b03824f1a5613a8d8b3dedeb9523e71b3801adf9ecf6e914d2185dc6b5"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:91606896e4bcc37214498287e7783d1355f9e97efdd750230fc626bf6b54aa29","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -5, -4, 9, 2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:70a0c7abd92f4efa14367bcd3deaa69ef79024c249326b7985e4a249118acf98","rejected":{"artifact_digest":"sha256:5da7bd2e18ecc882a1d1ecddb3937d7ff47b0b007d7acbb36c1fdb89483ad29b","candidate_id":"sha256:569a5f6348e6bc5734bc0d454d3c07b7c52d9457c7b54b2668b112f6445c610e","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (9, -5, -4, 9, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:30c9918ad34880ddf7995e0d41a4eaa8257fd98fc256fda8ecfba55276d2ca5e"},"sample_id":"sha256:a02b61779ea862d5c6b503ef444d4309ee78c77d0556e4797e915b1bda6f48b5","source_transition_ids":["sha256:9553c23eef04d3ca70f76535fd1fecb1d3eae5ec11c9443b5d8f1edd4e99df76","sha256:d4dc3f93b7acdae810a0d62cca35f4f0095277d8861e81fa9111208335bd2f1f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000201","trajectory_id":"vlr-formal-v2-0000201-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:c62ad0f5cff87c283ed83caabc581f3e50c1e39d0888b8dfdb4ad46b741a5fc0","candidate_id":"sha256:79637f8e4b8c4b26f13236594d29c2099ecfb2d1b45e3083a6b38164aea534b6","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-3, 5, -4, 5, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a11353d62ebac562c813f8044afa16ef9104ebd34181eaf747ba5e8f88533bae"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:8d6d7788dfa74fc8c382ed733a5b73f87e7b0911695e139986c49b2c2bbb33b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, 5, 5, 5, 7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:073979b7afeeca70aae95f44da831f21d01db5672415088bf978ff32202a576e","rejected":{"artifact_digest":"sha256:0a592bb6e4d856e5281702bdef67aea4aa2c5cb263c1c5e78f1d1d70fe3d2189","candidate_id":"sha256:aa5c773cc3625026aa6f4bf649b1e8e514379ca87780a737b0c555b8bb2356fc","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (2, 5, 5, 5, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d81a6323753a1773e4221f1799f949ec928b53a9cebac51fa6e3bfac1faaa2a4"},"sample_id":"sha256:b5d4222d42359a949563afa7a3bd0a4881bef77df5de3d01f57e31973ada314e","source_transition_ids":["sha256:0098cda89cb7cb14a696f81a980a51aab2a9ba8235e25bcd1b2ea7e88ea4d67d","sha256:5bc160f6f938909a58c83ab0d9b32512b472ef2c68032c2a8de6504d8f342ec4"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000202","trajectory_id":"vlr-formal-v2-0000202-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3ae9adb08608f0f9d36cfd3b7f0938c61fbb0944003bf006d4fab9d2a9b33998","candidate_id":"sha256:fa63a4f3f828e97168c27d720cf67aec11f4e4488abbfd39b086095ad94a57b8","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-3, 5, -4, 5, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d188ce4b9b629c7cd00e3a46fef1a969aaecb2a88d248185ee69f0a2ede0f23d"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:79637f8e4b8c4b26f13236594d29c2099ecfb2d1b45e3083a6b38164aea534b6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, 5, -4, 5, 7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:960952ce0877bd6a162df834b7e7af9561b2547a30d0f1416531b7d049d162ea","rejected":{"artifact_digest":"sha256:15b8da2617d197e350cfaf63b00edbb225cb2f04ad0181a228a14a1bc2371ac0","candidate_id":"sha256:318fc3a9836f6d33a2b3af3cc112eec527c11b14a37892bc7e016bdd256d390c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-3, 5, -4, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:7478a29bde51207f04121df7461937212d8de6673be3e7acc5ba7b36f5262e1c"},"sample_id":"sha256:179ee39de800632f53aa65e7ba410da63ec1191efac380c622f7c74b3682c395","source_transition_ids":["sha256:11bcd2420a281788ce4d8fd19587f94ec999e0a2302cbdaa756405748355728b","sha256:962f658bd4f3e6f578325ca8ac3e1a6c9ab8bfa89a164a57d4a4d49546bd309d"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000202","trajectory_id":"vlr-formal-v2-0000202-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:96879fecc5aa83e8ea33b46da243bcf6419612c3ca333b338a01a27c1c4389c7","candidate_id":"sha256:8e73ea06139333fb6860992260acc3938bfb8b19719e8b187e6d26e57d69d9ce","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 7, 8, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6fe99da2bfb814c62947b6d1688f0d5a86f8fde3abc8ff61e6774318522c552d"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:1b8281b7b0bc16f60e1f18d6ff65e27f4ba228a465c76772e44d9bd515e42dae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:4f05f5edf340bbd14700b4bb5529499cdc06948f3e691718124aedd91baaee54","candidate_id":"sha256:95ea7e06f396230f5af9c4400f318b44fa7f44dc6197c3a2bc33da5ef9638ae9","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 8, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:63350217b69bb581b27289a74ebcb38b179ee993a35f70c090e33b33786e835a"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:9da06bd7058ddeb00f31a42f222aadd06843d4c63df1c045366e02bbb020d833","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 7, 8, 3, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:501e0ea1886999970675fd8f970b590c8d1ad26cd59593ca7a5a13b39425f607","rejected":{"artifact_digest":"sha256:d3e6ea81e43fb41ce6b24ceb4f0973450918a57087e7af56d1f671e888e9ef49","candidate_id":"sha256:7ca21899795984b209bd1bcbc2335dd1dcc9ee4dd3a2d73e7e88e6d61c68ad83","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":5,"phi_candidate":6,"phi_gain":2,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 7, 6, 6, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8f4f59cffe407bf9cd638471050b1df707fe3424ae21becd2c3a1c35b3757af5"},"sample_id":"sha256:d295e3ced2780e88c519a3dd05ba200ddf4c304f81e9ae09444660d5bc4c13ed","source_transition_ids":["sha256:a647da83f863c4217e217b1900f07da6eeccb676f200d6c27465805498966fc0","sha256:233c7a25db28a5aad8fde372207ec7bf12c517a0554d6aa63831523aa3486fb1"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000203","trajectory_id":"vlr-formal-v2-0000203-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ebcb81c330ae6c68a00791c72995d1f51482ddbca8f1df4f2754bf67a309160e","candidate_id":"sha256:e25b6a1b36dbd206470ae34e5f6667e634a3f3c7d52fbd4385d1fc9bcde48a73","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 6, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b485547dafec0989c92daa02caedbd99f198b97662d6f7aafe3c5cc48d5aa142"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:95ea7e06f396230f5af9c4400f318b44fa7f44dc6197c3a2bc33da5ef9638ae9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 8, 3, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:758461c91b106e996153609d73ec4b078e7c4d5de16270d0c2af0c5050086a65","rejected":{"artifact_digest":"sha256:01441e6bcabb9c8241752eb5b0feef26b85d66658cab0ad62fca98b5b0c203a3","candidate_id":"sha256:4b3d241b16df334d2fb9092485f3caa03e9862a04be71cf2421ec9b5aaddf2a1","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":13,"improved_coordinates":0,"phi_candidate":8,"phi_gain":-2,"phi_incumbent":6,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (9, 7, 8, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:00a4340c901b261477d6b174f7331425dbdfa9aa63676e5b611ba70eb6e5e154"},"sample_id":"sha256:adc1e97e910544179c35b7abebaad0cf50fc4280e52e3ded9176299fdff91710","source_transition_ids":["sha256:eb793fc78513f3478b8951acbb549ba94496380f2154559b2516f72d61cfbf0e","sha256:3a3687a776b0a9b21e35c9a14eae9b75cc14586afc80329735c61c025eb3ea77"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000203","trajectory_id":"vlr-formal-v2-0000203-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:276cd04398b7ddc62082a3503a146b26fb63a47c65ace1bbff895cf9968512c4","candidate_id":"sha256:f4c90c76dfe3145b42b84dd6075cffc33f378e117d427e5f65d6f0b8aad039b4","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 6, 6, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:85703f0d97228996a91ecae326f1531ce95c1d8f76e8a83c2438befa87d0f2a4"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:e25b6a1b36dbd206470ae34e5f6667e634a3f3c7d52fbd4385d1fc9bcde48a73","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 6, 3, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b0b1f7cde8257b8ca5ca9b44fc3ffc334278383db500b418af3f52c0c86d3dbe","rejected":{"artifact_digest":"sha256:64b4d748885d91c69b265f8743c39af97ac3fd438545f9764a2a218784204304","candidate_id":"sha256:25ffe85d352eda4c580e602770cacced3b2c3bdbe1a4b6cffc150d43bb232d50","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (4, 2, 6, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c77a9d3fdfb874233c078f33df637038995f31526fa098904fb4df9c435c2980"},"sample_id":"sha256:0367c428770a9dd00d5613c6890cde89b3e6c8e97622b4e0539a065263c42232","source_transition_ids":["sha256:690bd77210d1eb6115114f048f6d41db721d7e9cd5df656d036591a1c86cd55f","sha256:ee6d7d5dee3f8df79d8947fc9ab5d7602a3b99fa187bce77804ee59d5862f1c7"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000203","trajectory_id":"vlr-formal-v2-0000203-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e5cd98b8f5f1d363c6db05f177374e19ae2f1723ebd12fb1a45d669dea4d1fac","candidate_id":"sha256:5fe5e3186049b141e2afdee8472a4d74ca41a2cf943a20970e1f708148fae2be","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (10, 13, 13, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ae84e2ab5c56a9d65c02d650319a999aef19192ea31439c00e0e96912651d4ce"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:5f7b2af2d4855029d93495a62a0e5519ec97e76c735fff9a448aed363a2e1ed7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 13, 13, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d8d00ee7ceaedd2122be780077febf1cd3588622833cf7d3c41c9c4bad3cd9ab","rejected":{"artifact_digest":"sha256:6af82746f86d3ad41924db2f814fea631b0d4322d5e2ca434c42fa66d43907fb","candidate_id":"sha256:d71064cb9c57c3c573d4fd6096215dab9afdc456393fec884e92fe2a25c87766","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (10, 7, 13, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ce8acba5809588bbcfaa6923a4a83cf9b0aefa6978af7936bd0ff7fd93d46132"},"sample_id":"sha256:1a7f1dfd32810caae2dbda806f6346e22016e1d775b6ae8b37a522aa9379dff4","source_transition_ids":["sha256:f6d6024432e129374a17476361d3891179e895b6b2f0a0cf49f54a23c7cf0b1e","sha256:046520ce689f599513dafbc4a5fce0b36a9871d2f1e10599f6ad8c2f8b36793e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000204","trajectory_id":"vlr-formal-v2-0000204-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ca7bb0435ab74d04d454a5e2fcc9502416cfe5114d342be1a787f8e83f3beae8","candidate_id":"sha256:8848705dfeaf89c62ce0b2e4a8292c990980942c32e45f8ca740bb99d8d97c26","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (10, 7, 13, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:25bb76c2c07c88796cbf55065160115b9b9cf63727e903ceda0eeb176ba7f445"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:5fe5e3186049b141e2afdee8472a4d74ca41a2cf943a20970e1f708148fae2be","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 13, 13, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1902d06fa3a9496ba0085e24522ba86a0481ef39df719bc9caed95623f1306f2","rejected":{"artifact_digest":"sha256:5ee8ca4ea013cf59cee21d8c467dad8e26558070863e8893aeeafe329012836f","candidate_id":"sha256:a6df56d5e2ae428cc0284863c27ab90c918b317f11f9d97c339967e16dd44edc","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (10, 2, 13, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1c5ebc2d5498d319243eeac1915d22c9924a147f8e9755afec8d295e9a001515"},"sample_id":"sha256:84e939e214324bcecf4fb3f040ff9f00f2311b0d9fdb8f7fe4886075de06e1b9","source_transition_ids":["sha256:c7aafece56a25013d308eaba4b786d6c6a8c0ed75bfaafcf3e260dc1f9c1257e","sha256:9466645ce81aa3ca9f06a1de21210bdd6af01d4d6967ad9ea28f846c5aa29278"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000204","trajectory_id":"vlr-formal-v2-0000204-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a6f524a99a976c538386ae284928d9287651150b3473ae975fde082851b230d7","candidate_id":"sha256:ce6d59304fbd2d2efce9b0c5d3cbfec9e262311fb5c000cf2237098ad0caa5cb","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:37abc2b79054e8cdde8b6c9a1427a6a27fdda3f0494138c5d62e16ab93730fe2"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:851ddf189a0f8164a829af2ae6159a8a5139c69b3319b61d6b727503854185a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5085e7b9d74e6c5aa60a6725eb7959a31f1d30c6837ae6b2feffca58d35b4093","rejected":{"artifact_digest":"sha256:145b3262f0991c15654cc63f5e5f9095b18063a4f156286a264668e9a8374e54","candidate_id":"sha256:db7411108be66946021eb0a5d133c3fbbdb6e030c8a1347d87bcac97289fe008","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (3, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b5a57e8fc55b303eef97b1ca6cb0ded7333721659e62fdb4234af7a121bdb42b"},"sample_id":"sha256:5e7c6ae92b5cd6bb61728351a2c3e8c7cb5c0fdf9e8dc86ec26bd69a3ebd4dff","source_transition_ids":["sha256:6ad483fa981c0b3184b0c3a5d23776c248e12ffc4311d3817b0086debd4b454d","sha256:3663a84652da7210524f40da7eb9830b0e56be5c2863b49eaff4c507fa72faf4"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000205","trajectory_id":"vlr-formal-v2-0000205-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6a18a53e09074434e1cd1020b7e4c07ca2db4e7bfa4a20ca597f470e96a0148a","candidate_id":"sha256:e44cc377a7deb0ab21cee3c336e7959d447e87d01c4277f42626dd14b290cc42","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 4, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:36a2b7ff157e1cec2c1fe9ee1b82b97d5f0bc3b761fab8de4701bae098fbe8a3"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:ce6d59304fbd2d2efce9b0c5d3cbfec9e262311fb5c000cf2237098ad0caa5cb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f72eccd56d37253bb6422ca652fd7b011220d2a1153f8773739ec06eb0400809","rejected":{"artifact_digest":"sha256:f1b2458cb143d814a64c4d1ee01424e08ef71d8e13097a31698468ef1a57c02a","candidate_id":"sha256:571ec2890c08b5c991419667f28ba6cee10ee1bd7a335d4bb5a8c7f5faf13929","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 4, 5, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a6da14d8be2502a503dc8a815856e4a332e5b12794298e7523f511b0904a2bbc"},"sample_id":"sha256:2e2ebdc1ba52071a89dda740ffb97378d89dc18015482ca3800e68be6486b61e","source_transition_ids":["sha256:0ebf2c93a3b4970a92fb4b8834ad73510249d8be92f3e165fd722760fc0ebb51","sha256:db376dcf7f6c41691e1baca9dadc298b2bcbeb7891eeb782d7ae68da8e08b549"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000205","trajectory_id":"vlr-formal-v2-0000205-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0083df8495f358b0784340685adbb148f9c20460f2fc65d5f258c03e35b53541","candidate_id":"sha256:781886ecc66159c758f56183a35f5d5e8980a4a18c1ada1935250588ea388b24","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 4, 1, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a57c1a8a15d12b4de2d6c713d78aaffe643558656b8b918c97c9e63df7223b5d"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:e44cc377a7deb0ab21cee3c336e7959d447e87d01c4277f42626dd14b290cc42","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 4, 1, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9e9ed8c7f4558f26a2082fa6352b93e2c2c5e691403e2da2ebd5c5b6f36880a1","rejected":{"artifact_digest":"sha256:74a57ba4ae4c8c57d7253812cb9624f1bb21a83beec2d45a15db3e285dda58e0","candidate_id":"sha256:df04a0057a5d24cca608c053592c53775375115c39579ee510d3c1940a48881e","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 4, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:89744b839b34d66b69520b1bf55217b287554219481eb3a8748a4b72211d2440"},"sample_id":"sha256:78b02c764382d73a4e5886533a1c0f377dbbfad3121d78321619e0feb1738757","source_transition_ids":["sha256:e4617e2983a04a20fdd4fdac3c35bf75d64fa7ac8dbfad3e72a91be345b1cea4","sha256:9ad1d47409795d95a80aa9cea21ea7603759107ccba5240e3a6649ad1b6f2cfd"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000205","trajectory_id":"vlr-formal-v2-0000205-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ed3febfc996605f3ff50581cef93b9506beb7dab65118ca76838ccb849b52e8a","candidate_id":"sha256:adfc26c84bfadedfb5bfc7933e9bac49c2b9f92e6ed99409af023997a5521240","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 2, 1, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b9af05360455e65401d92a37eb1a9f63ae16bd728993cddb57d1bc8876f53bd9"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:a356e0e8f1a0e46fdc3a45351dfdba903f6459aa974af4a29d8abccf823dd24c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 2, -7, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7909ac18bf3a4c418f8776a24ad92041201ac6bfd826fbba86d9c648e1a2dead","rejected":{"artifact_digest":"sha256:08d7c06cb92381b1bb285c4d3eae30391f378be8b1cf05a96910b3c69741683d","candidate_id":"sha256:fe0563fde9afaf97a0acec1c936eaa6450965c17004b8ba62e9fe48f1625ca9e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-3, 2, 0, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:910375e48e1db2d6d589dfa71a7812381a74d4af40bd4d78e86379d0a7840436"},"sample_id":"sha256:ae08a980b248c9a922d4a5ba32801d9de7dec46a16b1771020674ac438c19c3a","source_transition_ids":["sha256:87d823946007d998106aa3a36dbab67de39224e323ee4772ce27366c3de0a030","sha256:ea8f5556ec8c56cf7d0004a097a08703669af16c5ff6a442d7650fefea4d4eeb"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000206","trajectory_id":"vlr-formal-v2-0000206-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:007c81043552d1be70993ac77d4edc108badc27ee4b48e0a77f47f92f3ba8280","candidate_id":"sha256:27b76b630a25e35860fe82b7e4f566fbb9c5adc80219cd6aae2322e145d66777","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 1, 1, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:122c63ed9fe68f4c88ed0279d29d0541777985907541149b56e872a5c59984a9"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:adfc26c84bfadedfb5bfc7933e9bac49c2b9f92e6ed99409af023997a5521240","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 2, 1, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:969967103677d22e48e325f66dde2b282be26f703e58e820fe4a523dd2741631","rejected":{"artifact_digest":"sha256:f41d14b28b75067ae4f92dbab38b8bacef873335b23623ed1958f789fe5b573d","candidate_id":"sha256:76e82283c6691cef4e884040b7700a3fa46acbb55edd7e8171aaa0e6243a8d1c","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-3, 1, 1, -7, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4b633efa172425284908981b47e8e92c4937370ce8e6d0394fdbc2687a6bea34"},"sample_id":"sha256:14ed904deee81447feb4527fe780f0889a93a166920cd6c8f40a8eb71c65b06d","source_transition_ids":["sha256:207f428c4129f188a47d890333f8d6a616d0a66c776a485e0372c308bb53b80f","sha256:695c60c2c957a8c33f360651c4512aeb5fb66002062542c9f396d3828709386b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000206","trajectory_id":"vlr-formal-v2-0000206-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6508238c5f7188a8fac2cf436a1ac9244c912ad28b84f9610f5251764e369ba8","candidate_id":"sha256:86a0acf1f8db1a033cc355160eeb886ad17026e47e237bb81e7b97a3d4333630","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (0, 1, 1, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a5b09e1d0dd3d9756de6de3b5d529770928afb08618c3659c7d3068834db3ea9"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:27b76b630a25e35860fe82b7e4f566fbb9c5adc80219cd6aae2322e145d66777","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:61542048f19f2f53afd552af82a7cef34ceca41dfa1100064dad43c470933a6a","candidate_id":"sha256:1f13f0a8bff20185b7c81baf65f68b7d68cecd5b5f7a359e3dd40bdcd74a3a84","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (0, 1, 1, -3, 5, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bd0cecfd4a308e4e5ade638f3d31def37bb3c5143d9671a8c6d8fc8020c9c785"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:86a0acf1f8db1a033cc355160eeb886ad17026e47e237bb81e7b97a3d4333630","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (0, 1, 1, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:41a2c391736fb4187776ba6147b7e4b6a44f4202938856eedfe3fc6f45121083","rejected":{"artifact_digest":"sha256:5296c4607750c7549be9cd0bad599844078dc8b33e8ac3e344e6e3cd5f641948","candidate_id":"sha256:4fb3a3de89a56f857aee094b1ce78223fe74d44103be004c3be1965d415a4cd5","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (0, 1, 1, -3, 0, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c16724671e6880b47f061b5e00c706754f06e734d62e6010bd876493d1d3b726"},"sample_id":"sha256:6912626ab0adc392ebb89dfcb77d1deba6cc846bed5cf67cbb69a1f2cb5df9ce","source_transition_ids":["sha256:39142bd54032cee916bd102ff521b402100ca6297c9bd099819058ce7a17aefa","sha256:fd7ab736cfc9c4e50c362308f794ff96284dd42be27011cf97cbf39331da1418"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000206","trajectory_id":"vlr-formal-v2-0000206-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c14448b603982459606fc52d65bc8db166e758e3c5ebafe618a09b3b3c5b09c6","candidate_id":"sha256:83063da4ffede659d7f986426ba99485c4f6e35315ebdc2746883b7303e95485","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -5, -7, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:631e9c332a11e2bac7e5e65fd258891aaed25007e161048fcf9059613321bc0e"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:798a5d173ccb2916edf1ef1d2383bed40a4ef43d0def3bbea72a1fae94ff7656","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": -2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -5, 0, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c4f6f36d2445d21185c171e87731a55f92cc8ab8193fee237e3c210c9c6e1509","rejected":{"artifact_digest":"sha256:552d8e2bbf7f2dfb70b23db8720e4d8ef4215d3309e9fce8d0c44c8f52cd9702","candidate_id":"sha256:bfd8ff3721c9896de2ea054708015899cc5bb5cb4dd9c5f42987a62d956215a8","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (7, 1, -7, -2, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:805b995cec3b9b04f1a0ff891c240ab425445d529b5fb0413731aa0fce7e5661"},"sample_id":"sha256:4a199239b0d4a3d6af2124281ae453f8d712f947a0c5582836abb8e7e3c54e47","source_transition_ids":["sha256:38da1a7fbd9f1f45180c9c7ccef808f4ea5d0fc14e5c1dcb5eaafe7204b27f40","sha256:f8eb6b7e2f57e1bfd53f53d50f167ee4486ab871686b1260a626f342cc1d8bbf"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000207","trajectory_id":"vlr-formal-v2-0000207-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:485593fb9f08c92267ef5cb8bb907bf3cad7a67522fa8cd69d4ad86f4bd283b3","candidate_id":"sha256:5df5ee5ac5b2c5efe137999ab5f8d4a1d0c2722a5ad60783fd401838437de425","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, 1, -7, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5b47e223e4c1294f0be1e1c12eb76a991d5c0018e8705101907ee9ebfed5d291"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:83063da4ffede659d7f986426ba99485c4f6e35315ebdc2746883b7303e95485","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": -2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -5, -7, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5d60e747dace6a9fd7b37caf9219a87e844d510e1bb6c7ca09c3e4df23cc5cb7","rejected":{"artifact_digest":"sha256:438258c031ecb77b429e213f1be479586fb3f72487c89a9b83e43481f47c0c4d","candidate_id":"sha256:dc393514ac64c22e4e5072458b2f9c0372dc2c1a8b442343082a3770485c31d1","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (7, -5, -7, -3, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2c4c8f217ac3802eb55e1462c26183501e324d5ab30f3da026b28f2ecf1b1e5b"},"sample_id":"sha256:e518d5b85c772114715a87012540d300f0e08d0ac87a5b2ac0cbf3adb268ae97","source_transition_ids":["sha256:6afdb23b70bb90f372cf6d4eb56a5c4aaf0aa4c4acd63430a75327a31c2dcb5b","sha256:e8acafb9789aa003cd31c0421ed1d48b2b2661a6689a763a0eb6d02819c09010"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000207","trajectory_id":"vlr-formal-v2-0000207-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2605e67f27d2d6b824f0324a20a3aabc69dda93336dd70bdf0ffa73ea7c48721","candidate_id":"sha256:4508b49a10d1d84d1a48fca53b76ebbf9b996014ff1f1be1f874836c1b2e86b6","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, 1, -7, -8, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c762b61f33cfb49fbab7ed8dd20cba07502874b0b7373938904379bd5cb90ec4"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:5df5ee5ac5b2c5efe137999ab5f8d4a1d0c2722a5ad60783fd401838437de425","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": -2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, -7, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b02d9435fa6645214b79e1c17386164efa13194ab8106d483275c2ecbdb51565","rejected":{"artifact_digest":"sha256:463a0aabefb449dd4e1796cc0ebe0c8165c92628abead7a61fae8f16fffb4a65","candidate_id":"sha256:6143c263612a5bca529857873c0c15ffdc96382faa17ff7ad3f76a59242004d4","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, 1, -7, -2, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:359652f0bb10c8500f5cfd5d43c8abf739238ac4e986a34180576830a87019d2"},"sample_id":"sha256:a6a217cafcee151fddd99035587668c8f74870d62afe0d04d037a90501973e42","source_transition_ids":["sha256:6359abc9c424b3d468eea668226d6e5629f8f9502abb27b643ad40488514b35b","sha256:3054e038059a42af3df3d6618a0dd5320a84aa9e48794f0cc5c92408cae84e4a"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000207","trajectory_id":"vlr-formal-v2-0000207-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9f5cf357accf385bb0611c75c3ce6624d42e619868c19a6e6af3e3523a115263","candidate_id":"sha256:95097e5a547fa398e9cb11b902620c53d3713ac0e865432c8622bcdced667dec","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 1, -7, -8, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c566af23a228e0ddd71ee551f1f4e36fcd7112f235261dc28850778e953b4ba9"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:4508b49a10d1d84d1a48fca53b76ebbf9b996014ff1f1be1f874836c1b2e86b6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": -2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, -7, -8, 8)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ca08f0fc2b241345cecfd4ceae4df10ee0afab30c7a0b5768708d1d955644f3d","rejected":{"artifact_digest":"sha256:86b00e48c5c057833eeeb91903050e1315b61623a29fabd5a97f31e5ccde7b0c","candidate_id":"sha256:13b6d96e5b3c8c352407f05aab6d62a7f6c82d6701ea645efb60bdacc7b48ee6","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-4, 1, -7, -8, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9f9781f710e5d08d5da3c4daf90955dd805400767ceb8463554c74cf663830b2"},"sample_id":"sha256:c112f61b814b0230f458fec2e754207064b0c809ad9774214ba054ea36fe4f9b","source_transition_ids":["sha256:7762084e5a903347988980e46cfda2e3ea9e9d45b36f1749d099c48853ae7d9e","sha256:8c20ec96ea682d8992e5a4c7a94dcf567e5e15a0ec10071674d704d0406bfce8"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000207","trajectory_id":"vlr-formal-v2-0000207-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9b1bff36f8cc29e6c6884620e40c9bd4417d4b3bcbc19fb656244610010fb113","candidate_id":"sha256:cb65589a34d5c90726dcf8eb69b798e47a682dff6a796cefcceafebe2db064b0","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (0, -1, 6, 9)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:1f0d214cdb8d81183398fa707469c627c7580a40f29b5595d81452376f86b61e"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:e3ff669ec85105a6da68c9fc43f51aab7989049753a4b8d5f87c276860808e6b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -19}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -9, 6, 9)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4ac9b1ec3807dbb943e0254b4c542815ae55c6787b4ac23cda4810a58b39e6a0","rejected":{"artifact_digest":"sha256:4f4cf9c5a64748e0d0619fed55d3b324916f0c6a56fabe304a02c285c0744691","candidate_id":"sha256:159548f49c9bfd07ac95afa35ace6d6d1ab1af4a70f4f935224efe1046ab795d","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (0, 9, 6, 9)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:6f28fae3ec4ee970b387dcd3a908177267dd3b86f03557ea74ed0ccfd2c7998e"},"sample_id":"sha256:fcf0b8b1e2de0bfbd0229ce740b424214b2b1a63e5b446f6db6763b4dc662718","source_transition_ids":["sha256:e32f75ca7f4900eccd46aabdb8bbd5144e92f8dd36127ae9ae8f3d178fd9cbcf","sha256:c72ad5f7e97a1305a29510f49cdb22c2839d5ef4bbe4ddcb926fcf758f74ae0d"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000210","trajectory_id":"vlr-formal-v2-0000210-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b48d16e28d1853d3d35b56a6758426b617cb3f060572e82732551801292f5ec2","candidate_id":"sha256:185d6ee74b0635fcbe5f8e404b38cc11db3f59efa832e0e1db5eada220729297","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (0, -1, 6, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:a1a2ddfed9044ff33ec2d41102d987a12d8dcd6e13e81617a881c4e0befc973a"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:cb65589a34d5c90726dcf8eb69b798e47a682dff6a796cefcceafebe2db064b0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -19}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -1, 6, 9)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7ce72e48bb27cb2733ee460f78e552ad007dcff5fd6ecb39708b611931b794a9","rejected":{"artifact_digest":"sha256:dbe7a76e99f3eeaa0a8bfe2aef310befd325b0f09c5cfb101213052a8522f94f","candidate_id":"sha256:53d958f140c23acec72562ee8c81e97658425d38cc2c2916fd4d6a219abc84da","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (0, -1, 6, 7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:f5927bf6b2d590568ce12707d389cddc87dd19193b9e861cf7d8ccedb80daff8"},"sample_id":"sha256:4f254ae0b7d769deffbbe2273f9b7606547adacac97e5c45db76f533afb72ee5","source_transition_ids":["sha256:57028bc2bc52632d9f0faf24bad36dd078d3d8e6d66e1818687b1e2305603207","sha256:490556d03e6c915410658aa1defadb671f92954712c2b7d84990bfc50947226f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000210","trajectory_id":"vlr-formal-v2-0000210-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4e6529a67f364ab9a93d49cc2df1fd5c2e4d1e442ae61f5db3ec5b53ab050e90","candidate_id":"sha256:1c4b84d4360159dd2dbe31f7a2ccf426970c56fdb20b2891876ea2ebb09f7409","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (8, -1, 6, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:8264320bc70e12dab02435a5610dda340f53923314de4e10d3dbf3ade83d9116"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:185d6ee74b0635fcbe5f8e404b38cc11db3f59efa832e0e1db5eada220729297","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -19}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -1, 6, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a0d61d74d7483e6f12cfb4dcc0efc611303c1ee137b547286e672f8436578987","rejected":{"artifact_digest":"sha256:b5022d0b55f5c4a5bd21d4bf674971f6c7c06623d34caffa29c411056cb0c4fe","candidate_id":"sha256:26eca77334611008d91c3c0355678bc551b936b5c66cd124b436e261e9bd571b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (0, -1, 6, -6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:28795042778340963076b917dc1c5cd1e5e9b4e658100e60ea0db80bfad7fd83"},"sample_id":"sha256:b2737ce484b09f869c098edf26af764a811f27bc7eea8736de5145b5f6cf70dd","source_transition_ids":["sha256:c9f67a19972008d20edec76a5ac35c6644e7a29f3c5e58c1e6fcc19e463b0b59","sha256:e901d512a6ef5420e3398bd9be00ee1db402f9264edcd6714f23b6f0ab8ea88c"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000210","trajectory_id":"vlr-formal-v2-0000210-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bbbb0a76277230afe8ec57249c257a70cc7758dc81913b2964d2e97bb46b3f36","candidate_id":"sha256:202b0d9cd84a18690dc28f3f0698ea17c4e3f943d05e617efddede7c90ca3153","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (8, -1, -3, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:bd1e9aebc4f7b2a4be64e9fc26791591eb53767dfb51b09ad80915bb444860d8"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:1c4b84d4360159dd2dbe31f7a2ccf426970c56fdb20b2891876ea2ebb09f7409","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -19}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -1, 6, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:535d2a66b034776a5a700d0b2e8c87fdb7f5cbe11ddb4e4e48398bc17e8cde60","rejected":{"artifact_digest":"sha256:d1f72d4d21d1663b100f86e4d01f0fbddcf064d74d0d2e35e88e29cd8f1acc73","candidate_id":"sha256:f8c8571cd037387ad8cdc2d569e1789784bd994d556534513f869af7da4f07eb","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (8, -1, 8, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:208ec5fd553d1aca3001e6403047d4f3fb059df750bf1d4b7a2f90d6cfbcaa03"},"sample_id":"sha256:0f1c1d109378f8da2be0e5f9f91b4e1f01009a1b0bd21d484861f345517d824d","source_transition_ids":["sha256:61a92d9982d635c801bf627a88b285b1c15b5bb2d5578b9dea60949ccd1c975b","sha256:b63b88bcd8c322812beb2947274bfe81e3d8708c01407512cc83660164d04b30"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000210","trajectory_id":"vlr-formal-v2-0000210-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f5573a816fefbd0b5f5e3e707b6ff92197479b552a82bff0f49cf80268083da0","candidate_id":"sha256:9d0f7b940f9abaecb60c37bd42c5b6b9a7ee7f2915c72bf4e856ed9253125969","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -5, 3, -6, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:030c1b441e20cc5bcf0f56840a5c00125ff7302af549b031950c69daca9ecd78"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:ac05d4b549e8d9cc91429ffcb86a676aaae1212716fad99e0dc4206c24a3ea8f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -5, -5, -6, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ced627481d2713647a5092a1d1f7c7bfecb191bcf749b697b5cd86054fb46303","rejected":{"artifact_digest":"sha256:8f1b60260311fe39e39fbf6ed1fac776b9fcdf7913474584aac7fcb1462f373d","candidate_id":"sha256:40ca5ae34a1623f5fc3a4245e4cb31bbc1a1674dc470b8336b1482e0e674cd71","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (4, -5, 0, -6, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ba9d6d4d072836c0ea661084eee5583c54c7758fb3717dcd2b2f3218f9733531"},"sample_id":"sha256:31d6dc2125c9e2086fed5f1a9003d2e0e990596b9e672239b5f25099f1013a8f","source_transition_ids":["sha256:14d03eff07611b9155fbeeeefeef9e5fa9490acbdf7210b5e6dd80eff53abff3","sha256:c27ecc0e2efcdc603a23899c83b94fa210eb9f5b4de243c83854d0677cda5998"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000212","trajectory_id":"vlr-formal-v2-0000212-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9b57eb0cecd9a26d7b12bcf1c8f72f3c50796d2c32471bb3757d42d7fb54dcd3","candidate_id":"sha256:48860733addbf37264542323293d8b3d1072935846a17392b4c78d58e8473367","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 3, 3, -6, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:19d95ecaeeeb758d215a2096f936c42c3c45dcc6add606dcc4c568d6d886e729"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:9d0f7b940f9abaecb60c37bd42c5b6b9a7ee7f2915c72bf4e856ed9253125969","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -5, 3, -6, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dfe8429de5ed5379815bff5adae0caf3ba7b57f4e91b1bf0beebc404fc2ddb77","rejected":{"artifact_digest":"sha256:e7bf250c6c22b2046beee2085e1c669f1e0443a4ed8d214660c5b0cbbc84cef7","candidate_id":"sha256:f803dd4412e2c2e331edb4a5fb1639457be81170c865002a1e9fe2fb0cb810a3","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (4, 3, 2, -6, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0b2781b2959d8e392d67f70633e4e26b0fd6241846ac3aae5d7638c8b28278ae"},"sample_id":"sha256:b7098778a4f2c8ea968a7479e1cb4e649cba86f158fd42bbeac4139ff61b4549","source_transition_ids":["sha256:fb90584950809b048bc6875bbaaa7053b7d02115b3c47ee9aa17e79c1558f625","sha256:29de2dba3c19cc8fa1bf8fc9771db8cf0cfd147af17ef7a9a1a011a4dedbedac"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000212","trajectory_id":"vlr-formal-v2-0000212-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:33f535f2c90c9ec1760008a742400587e0481f600cb7f309cc28e0bf55cacbb7","candidate_id":"sha256:a420c79f1836f4db582c0ad45476dce9631423124f3fcb519a3d39487a38c1f4","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 3, 3, -4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ee6952c0587096e426251754f2d14dcf208d052a6242d765b377de765ccb132f"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:48860733addbf37264542323293d8b3d1072935846a17392b4c78d58e8473367","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 3, 3, -6, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5ae39d374b8629740ceb2fbfa2444b4365f7c8f3f83ffc730a05021494b534c6","rejected":{"artifact_digest":"sha256:ea659bd6fa897128760e23de712b565160c3790ac4e26abf4fecbfbe7f0009d7","candidate_id":"sha256:2f67ef495abe82debff6de78e6a78b9078999329972b97893d1308d6bc040c08","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (4, 0, 3, -4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d12cb5aa792c903197c630e0c5f14c4a0612274472cd5a51c0fa11d640923053"},"sample_id":"sha256:1add9ee2a9fb847f9f063d4c3a22d08a9097b14d65adfac0b6fa0b93ab8bfbf5","source_transition_ids":["sha256:7431339c83aa22a2cc14d0ab44b4c415904d1a16e80f59c5d8a860622010b7cf","sha256:0daf1b98e12e3564fadb5768b493b7024a76e8bf5b58400f7df3860a1e83683b"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000212","trajectory_id":"vlr-formal-v2-0000212-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a0a25f5c326687027043b7ef494f212f6c255f45635a8488156e9c2624e0b492","candidate_id":"sha256:8a6b57751f20a8bdfbca365ca6f0c38f9642e6015d5862cca140123c50e198dc","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, 3, 3, -4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e5f5018a3ea0d0056ee338cf0714d387ef5ff9fa7ae31af558a279ea238d55ed"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:a420c79f1836f4db582c0ad45476dce9631423124f3fcb519a3d39487a38c1f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 3, 3, -4, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e7b1c3cc72e9b686892679aaddd67622b6835b7fc5437a69a5d2a3c3c82b65c4","rejected":{"artifact_digest":"sha256:b3949801acd1c6f36aac8eae8174ccc278751954e25e16f8b88183c114609ffe","candidate_id":"sha256:aff8358374fbe389a09905832c37cc6dc21c5ba0fa694c9144245e15754a7b3e","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-1, -6, 3, -4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:01a7ac1250b751ec2fdbd8617d41a58427f6fdedabc91272f1958b6b71e913d2"},"sample_id":"sha256:8ba1a7aaee79ee895045476b2f4a2c73296df0db81ec1f332f96e0a3c454e1e6","source_transition_ids":["sha256:cb52bba9e3391197226da9be2c99419164fb41c17e4f8b43c41be7e7f43c2645","sha256:3da2b4d0e038100201dcc08319951811c8e3c640fe7353dcba1e167e9a19b541"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000212","trajectory_id":"vlr-formal-v2-0000212-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:33b22f6198f9b1cad9bd2fb476a0ec553268911548a45e34b4bee6e84e8b16b2","candidate_id":"sha256:acc7f6b406794cdd6fd5303bc4eab5f1f91f78d685d74b785e7cd3926211446c","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, 3, 3, -4, 0)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:275d9ba6c192e9b91339d20f4a09a8a20192557156ad037b906bd035a9f2b5a9"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:8a6b57751f20a8bdfbca365ca6f0c38f9642e6015d5862cca140123c50e198dc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 3, 3, -4, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:12ca8c2c08a969b02d98a83df61f97e155c817f1328d4dbbaa96fe646d19c41a","rejected":{"artifact_digest":"sha256:d313d56c66f85abfb025c3dc3add7a095ce1b07992b6b6d4383de1e773c59088","candidate_id":"sha256:45e22e39b1205292002a8d97250ce9bf7754a2bf966e91e4cc5329904dfbe358","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-1, 3, 3, -4, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:db80fbe267558e691528f3f41544fc6a280ee46324964cc06a55278fd028849d"},"sample_id":"sha256:6592d3c66aec83e2ca9dcfd0c500c3cb60cbbb9cb798856dc2e5c55d724e4de0","source_transition_ids":["sha256:837d10fe2ed72978b767dc710c6aac4be6277d91c687424c7e225b1689f22b73","sha256:16152492cc5bb7cb245c2e488eeb1262eb8eeceb23877cdb528b480560a5ed9d"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000212","trajectory_id":"vlr-formal-v2-0000212-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9a64e7f0b1b92a90e367b3ae8ba2d4d27951eeb9ef12785141dc233e1a789061","candidate_id":"sha256:c772f1e5b4a1b84a86651e4a7d75609f92a0d5dd0c71ba5b4c6ea8e9e51fd1b0","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 6, 2, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9899359e8fa061bb97e640ee1f98e58eac8a205e779bcf6c561c33511626a198"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:a180997971ec1eeb996913ec5b018083c9aba93ede8c44fb5d764893690f840e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:fda0bb4cc8da49809de821737ea77e4d52ef5c3ce19655d5eb04f440a5281da5","candidate_id":"sha256:405ec4039d798d339baaac2acba04c83e1387cded4e2ced44fe2307d0f79449f","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 6, 5, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:fc55de5992a918ab54392550809a781e7c4fb4e6e4213255e6b5ae701d261f7a"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:dbe8ded1f0defcadfc754e6cf68afefdea0779cb5918b705a68e356be10ba82a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 5, 3, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b37f8e73bc8176061b85ffb9972f2437e8258cbe0950e736e05c69fd07e66c3b","rejected":{"artifact_digest":"sha256:703c8b4fcea6ec1e16bb3b35cf3878563bda6558990051ef6e7c67edd81f6ce6","candidate_id":"sha256:addec362ff47c577e7765ffb7f932130506df5e3c36f89b2712700e6cae44d15","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":5,"phi_candidate":6,"phi_gain":2,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (1, 9, 5, 2, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:947d31ac0a2acdd7592bac687ffdaebae5e294d1929e3162ce7e7bc06db2bd4c"},"sample_id":"sha256:c3144c72575368db1f4cb6de0a8150f222b57485e529bf7e7be67a9be70d3fbc","source_transition_ids":["sha256:80878a4ac42efe9bae3ae235f514b2ce190fba72c4bf53deb2e01d3065dccff3","sha256:490192e478cd654c8d714db3b6f35ecfab7ee05010ad9c72d8b773dadda5e04e"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000213","trajectory_id":"vlr-formal-v2-0000213-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6d6b65ec9f511741167c5149da1ac30ba7120807de5f8c74d7dee379b706c539","candidate_id":"sha256:9960291121c8690c432a3f5d47173410d3d9c27ecd943c759d77e408adc64c89","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 9, 5, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a9bcdae762f0a44767cd2e508022518d88db97a9ba0339cf1c6a31cf70d2d128"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:405ec4039d798d339baaac2acba04c83e1387cded4e2ced44fe2307d0f79449f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 6, 5, 3, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c0151ff8b52ec40b400c488e9d0be3013272128e8bafbd57a33c2c69df3081ba","rejected":{"artifact_digest":"sha256:f5c26ef63cac287a8b28f52ca6b9035155dde4779998341899f287dcef3e1103","candidate_id":"sha256:eabbeb61e4125febba009af94c2769b250e7fda9e5232deeb51a775463a9f4be","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (1, 6, 5, 7, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:568790264a1cf6c7c01a5d45e39043dc19c86e57021fd2efd9b9f64920460822"},"sample_id":"sha256:9b404c3fddf9ce5addb8226ca291f21f8916abe4dd64d7e58d180b4de8d250a8","source_transition_ids":["sha256:429581418d5958ea8da635551bb85119a9b29a113d5c06a3fbf7197d68eabe7a","sha256:4132c40ac6ff9bfa278e78473eab29032d4379b7b60352e05f8ca0f7dedb7531"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000213","trajectory_id":"vlr-formal-v2-0000213-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e4606d1e94321c5e5568fde2d232f84c3e07509e5a0553231318b06ab650597b","candidate_id":"sha256:acfcc399f3a27207f3760e7bae7750f84ce384cf6ca50167f05ba8e59c5cc102","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 9, 5, 3, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f0f66861f9f492c7b335238141d659c4afbe92eb56726bdd5968ac504ee485cc"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:9960291121c8690c432a3f5d47173410d3d9c27ecd943c759d77e408adc64c89","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 9, 5, 3, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0c0e08973b8dfff6a68c439e4f3af76519ec51ca4af1c469843f08b0ffc0d688","rejected":{"artifact_digest":"sha256:0aefcffbc6197fe28ddb035d437efe0cdc99d37ba03287c20a80fd6e4e533aad","candidate_id":"sha256:9f6859cee7dc8f5155c8f48485c595078fd650e62f25d8443fb78d96870e8c57","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (1, 9, 5, 3, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0a0df9b3352e4e78c2a13f539ca90083b64fb12223b8a85ddddd9e8a4fac2fa0"},"sample_id":"sha256:067e1f67ae636c714c7942b13a5bb9f19cbd5747461ee2b3dfa3d5df0dfcc417","source_transition_ids":["sha256:f9a202e8e77f5c385761b3874ad1927deacec89308348d3c61f107fd0bc242c2","sha256:b61978d978c7857e5909dcddad142a91d10410bb6bde66c606d8c66f031f8913"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000213","trajectory_id":"vlr-formal-v2-0000213-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f825a389f0d3f958f4b44f2d3fe957a48311ee29e3c8ae2d862f032cc2250dd2","candidate_id":"sha256:076cfd10e187f03311d290b95019eca69aa0990cc01fa5d4413f8ba4d83cef02","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 2, 3, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c6130b9bc84350241c98324fb92f17f398a8cfc53e9348dc0c4c46e2329f33f9"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:d3cb60ba0c9e13930649a613dafa2f273f852cc6c4d79825e5446045a6ec9b01","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 3, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:65acc55e2981c98446a82c8bbee67e8c1e1a21c9efb7c2df559a250abea81866","rejected":{"artifact_digest":"sha256:e55ff51e6de4ebb54cd41f78ecccff284f1ee1148361bc20b0de1c1c14b09f72","candidate_id":"sha256:17d949ef7d3ce7ae0febb25f6c20db92ed2b8014c0066f5ad22334e20df4fc0e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (12, 1, 3, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:28a11f2d759ac0e598002d1cf34de737c256e311c9ac6d5ace3ca10edf270c96"},"sample_id":"sha256:303cdb6f387559a1c65f79d28b3bb17a0bb361ed6f3b1de3172fa8180697b152","source_transition_ids":["sha256:8edbb88dfb63cd398d095b91aee073d122701fb2ef599f06abc6c493e53d003b","sha256:288df156ac566fbce294236d6ba131a558bcbb27e393605ce512855567f123ae"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000214","trajectory_id":"vlr-formal-v2-0000214-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a1c95d3b747fa1c0db2e217de6d0d924f61e9cd0f29fa7c3bd2dec1e0051e9a9","candidate_id":"sha256:77c0b45cdf247371fa765ad355fba056074d40890441881f1da21f70850c4203","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 2, 13, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9e59c74cb52a70773dd49a6a88a03c69b56bf057f8c935a65a49fd96e73cd74d"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:076cfd10e187f03311d290b95019eca69aa0990cc01fa5d4413f8ba4d83cef02","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 2, 3, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4bcde0cc5dc0c9932c0790be0fc4a66c52c714eb1635e861aee53e4d5056a323","rejected":{"artifact_digest":"sha256:7f5f00f4a8ce78ba0885e9da7d2b3ea467c2958c75b95d31f2fa12a1b3ded254","candidate_id":"sha256:bb18e6be7cb181f71896f8bdae855ec38a1db3f73ce57a5caf444b71fbfd6e4c","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (11, 1, 13, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:bc0b98c852839f4c1f0ae0b49248e86a68f236d1b7f0fe900c2c37051f01cd18"},"sample_id":"sha256:e2ef4d4b8cf16ea6dda4586725075c736c204c26430e8b0aa63b0908e77fcf56","source_transition_ids":["sha256:76311bcb1240838f220204418ade83922a777a3aec4c854540f241e67e3a78e7","sha256:33f9460b8010dd5dcb1f60e9b4beac5a536b06d8e2cad17c17afd5c7413103d8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000214","trajectory_id":"vlr-formal-v2-0000214-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9cab97e21699e0c288b302cd11dfd53aab0837a4d9e1a74759803124febd35df","candidate_id":"sha256:de6da4325fc09dec5d9783fef6ae4c93d0f7f2a374bb81d29b6dbd9cf2ea89b4","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 2, 13, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:7b0bd82824f41adbc0674a0c50fadc22ed456cbfa3e4685cca8b895bac9bd1f5"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:77c0b45cdf247371fa765ad355fba056074d40890441881f1da21f70850c4203","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 2, 13, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:810bea65acb3535c0ee0338f904223bd9584f57a5b79a5c9586903d7ea701442","rejected":{"artifact_digest":"sha256:f732cf61bb2c1ee8481d2a7dead91078312173f3a8150ce3e1057ce9a9a9aa4f","candidate_id":"sha256:81f4e29d2c452f6470c456537806104dc3ea52b44cb18e56e87ed7b56bb75bde","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (11, 2, 7, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:41c684410573baff412224d3d0f884cdd89606a102196e135877b171bc498b06"},"sample_id":"sha256:56e1f94ad0d6e60194843770021bf636fe3846487d202311394ebd60dde8a0c4","source_transition_ids":["sha256:2e8bedde91f4840cd5fba452fe495eb3c2937b676e414c6cc64cdbbeb0c30abd","sha256:5883a5d080a4dc46494ccdfab38292154ea766e79bd8bc6f6a3a37aba5a8d23f"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000214","trajectory_id":"vlr-formal-v2-0000214-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fbb35e623be5ef98a146053b12d23f3a4c7f8b2e7af7d14d0a9b7fa511f01615","candidate_id":"sha256:098318b6039ca4b22639345d739f061ec20037435b1284151804641dd5c96072","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 2, 13, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:273b651cfdc207aa4c0987ebb9664b68f988f058a5bc079954067cb82483f70d"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:de6da4325fc09dec5d9783fef6ae4c93d0f7f2a374bb81d29b6dbd9cf2ea89b4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 2, 13, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6f32dae698d277f9ac23176a6637dfe63d28fb71db06a1b54ea5400861da9907","rejected":{"artifact_digest":"sha256:e9b4fc3d54680a9eb6bc7f09a46b483feb0f310b7d450fe9ec89e8a1b1dab30c","candidate_id":"sha256:bb36c6f67deb093305ff2961be3a3de4bf9d9a2eba09ea0aefc2426e2e315dc4","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (11, 2, 6, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b0a0de8d0faf92cd287a72433dbcf19e9e3676b9a4ca4b04c9c3e8d053106589"},"sample_id":"sha256:8b40608c68e5e29de4ab1b84d29a6f42cc3dc8c94bbf17af5acad67fff262eb2","source_transition_ids":["sha256:0842fb817c352a06f6f08323783e4867e81dbd7f9a1723a6e7e9b791e757b9c4","sha256:28e1ed2b671ff8bcd75c54022954e1dd00a64dbaee19de52aae427b1f4ea2cdd"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000214","trajectory_id":"vlr-formal-v2-0000214-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:854967e75d7b378a073f45a894499c3f0f610a4077c646416b483d50fa6c3325","candidate_id":"sha256:3b09db29faa42209ac22d989cb325125c3c94c9d13b09da0a3c76bd83d0364aa","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:93f9ce1211bbcac7a5d99fbf6e72b4b0d4321f87e31d306e73bcb89a3926898a"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:fa9cc090fd55322193be8b497d71b83d5d44bb2aaaf99efa2531daf9de72135f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9e44b68411d062bd32026eb46c032a5741bba7b70ccf8ddcffeacfd09fde1c74","rejected":{"artifact_digest":"sha256:e3d15fe78978f36464c374b481588bc319ea2d37ebf6507a0d8433c26fe30c99","candidate_id":"sha256:5bc8daaef41bd777af471dd2fa7a9511e74d1284cc52b5203857eb37c1dfbb08","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (4, 6, 2, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:1236966a2b8b728758f0a2b1fb23250a3557cdcd61ace337006c14097e1be1cb"},"sample_id":"sha256:e0c0ec8ccbf52f6a3092de3362d57660d354720cc257ef1b24d0d1c5a1b01811","source_transition_ids":["sha256:62fb9adc056f4a85b61d714b7c0a601efaf9d37fdf041456262f3e5ea841f591","sha256:f055c5dae1e2c4835777b422cf00d8c8049c3b9882a9f76586c615d3925d6350"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000215","trajectory_id":"vlr-formal-v2-0000215-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c4d21fa4d248a239483127be2e81cbafac28c0b8f24c4ae6bebc4a35ac10cf70","candidate_id":"sha256:12a78277cd8312e620b5a8b6672060ca3898f7650ab3d6bbb9c7be292bf655d6","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:87647175be2a4f7023807daa72f8ca247eeb3c5428fd87bd4458d3b25930b801"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:3b09db29faa42209ac22d989cb325125c3c94c9d13b09da0a3c76bd83d0364aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f1a341ac63cc5d6ec5a1b9da2cffd246f2f21fcebab48736b2024298880184af","rejected":{"artifact_digest":"sha256:28c171034222a21d7269a43a9b707797e5fe9976df476ffd1ac2e661fbcccb6d","candidate_id":"sha256:f4bc36aa7250b20e1f37392d661a6332b05613fb4b52d75401fbe66e8925e9b2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (2, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:785722ece7d6f8094c63554e7bd3fceb975bd81b4a89db7457997047fbe3718b"},"sample_id":"sha256:66c073cb252b044cff7adee4580f67fd568af9fa6729ccc10cfd02d67cdf80da","source_transition_ids":["sha256:aa3f4ac070aa4a1ce78af290e77f69700639abcfb5bde402fbd063985723bcf0","sha256:95e1702b089a513fd7685db37c36cdc5fb4b575fde8b61c0a27e5296c51f4160"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000215","trajectory_id":"vlr-formal-v2-0000215-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:55c7a351883516016161fa769edb8416bcec53bc33aeb0d966a611c95067d085","candidate_id":"sha256:bd2163f2ad3a22f847278baa136b0823989479ca334480e3b40c8e8933fe1ae0","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c0b9df6c6b24ad580777b1d601fd26462d8a3d9e42efeb6625ddf7d6364c4443"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:12a78277cd8312e620b5a8b6672060ca3898f7650ab3d6bbb9c7be292bf655d6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e105e08f6f23c3a279ed5f6ffa14cd34ed482ffd61572d753d0d15275c9a6fc6","rejected":{"artifact_digest":"sha256:e322d391673f05f8a542a95b6e6906603f49b751692b7d18d2997183adb8928e","candidate_id":"sha256:95d06bbb0c593655fdb2bc6f95c935e1373c9555f47979d309d884dfb30ce085","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 6, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ef12ba8699b26ce8212e6b98a638ae4e695a2f432c9e4a2ce5d9dfe6d55e9771"},"sample_id":"sha256:fda47b48eda097c39ce8d2b05801590d97a81260716b795560129bc449ba83fc","source_transition_ids":["sha256:07dd4f769f1ab5e5ec943d9258848dd764b776de8619537df6cdda12cd5e9538","sha256:acd327e50f9528d19a9bbf36d3fa66ebe85b8f42aeeb528633e53e4b5e2ce439"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000215","trajectory_id":"vlr-formal-v2-0000215-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:92f1577ebf3b68309a2d36b6bd4199f9e2be0039b9e45e545dd8fbab51e75528","candidate_id":"sha256:4e48e98718b0c7028f8501a06abcc8b663313ca0f2f66029ba4719fc36129ec8","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-8, -6, 7, -3, 5, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1c1047fceccf246ef56d2d496e0a189fd5b32c62771a06dca2f4a812b1ecb514"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:0b530a61b63017895eeabe47f3bb9f39be7f0d197894db2eb7e043d3f22cab58","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -8}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, -6, 7, 6, 5, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:73f280b8ba1aebed12d5e6a63b6a40f4c69ead806afbe710c9938906f96f21be","rejected":{"artifact_digest":"sha256:0f1b347ad1287b1f92771257b7fe0e66c8a1612a47f83af37c8438a29f6a140e","candidate_id":"sha256:32a4552a8f796f55a124795f9d72e6e4a037fc6920d6e30bab0b74d25e7df355","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-8, -6, 7, 8, 5, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0adb0cd89bd837456dba748256832859481864a4d0fd50734aacf0a21301a63a"},"sample_id":"sha256:3f993847ebfbb1ac0ae8848a36f3045795d353fa35ca4a7cd2aaeb5551dcaff0","source_transition_ids":["sha256:636f142abc285ad0a4e61852c589f8a95d7922d48df93eb0edeef701857d816a","sha256:b5d456208c27540435456c47cfc04d67f8d7ea1eb7cf696a9bf71d8e81555b80"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000216","trajectory_id":"vlr-formal-v2-0000216-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f0f536f393ebfe2df3956d94e5e92620cb8056f150145d277583c25f0f249cd1","candidate_id":"sha256:e07cc71f29a2dd20b7cc5e75ea2ef0a5c0c595dfc40e1044e8458e8871ee5f31","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-8, -6, 7, -3, 5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7666518d2ae07f81fd320d7edc040a111380e3e648c10844abe8d5e573e73f6b"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:4e48e98718b0c7028f8501a06abcc8b663313ca0f2f66029ba4719fc36129ec8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -8}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, -6, 7, -3, 5, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:69e645af7c1629cddd999a802d04310efe4396b29a2d576291a7fc3fd5fc761c","rejected":{"artifact_digest":"sha256:785332209dfb25ee9af32a3046cb55f7894b5c30144b5fe1a68c21fbe02a0ff6","candidate_id":"sha256:647eddda06599160db7b2ad906c0f822483dacf4f3bc26cd68823b7a92c8216b","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-8, -3, 7, -3, 5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:87b1176743950a9f5fddf71480c2dfb69d1915bc99431e0cb39b120a0f8f4835"},"sample_id":"sha256:1f0cde852450f513e304c74fd9cfc9fb19378242e71bd4fcd28667bd4cab7411","source_transition_ids":["sha256:f5e7c3e83ce7c0553019a82d7db27bdbf4b779ef26a37c44b3119782ae89e019","sha256:c73d19685593cd5e83f63bb0312614856161f8e51280f8315d1cfdf1fed630f2"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000216","trajectory_id":"vlr-formal-v2-0000216-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b717a5cfbe69bbc384ca957aec8cfb165897f6317c862ca1dca97f52f0f3fa9e","candidate_id":"sha256:862a490a89125e4e780fe83a0e2824676ae67832cb7c7742e220d3a9e3a5ee1b","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (8, -7, -6, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0927ab74f9ed67e3c061707edab3a60d3245eb4cbb6ef601cdeaed5fa178a4f9"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:22bc8776f545e86c7a3b92820958fcf320b3f1d35dc823ac5cc9f069c70909df","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, 7, -6, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5c777f48ed5dcc81a19ecb057f7b488010e3045ff5eb62d5563c6e44b3088cd7","rejected":{"artifact_digest":"sha256:3a130c2ff8c0b8cb85f6ca85ec6a816e814c864a917fc7ba99263f7a218c0f7d","candidate_id":"sha256:d70270994e5e4579e66433575843ca0bf8712a282427c3c60a81ee41ba007444","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (8, -7, -7, 1, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1dc3c94ee24bf8517a51c95e29adca190b29540769c26b941f7e50b97b52316a"},"sample_id":"sha256:8eeb9d9ee23e8cba38d70c823dcbfe1aa94982d597fdf986bb0bfa196bf56059","source_transition_ids":["sha256:17f0ed9f26c971cc890dc099b9989c01922ec0afe62d95af2ed8ffa142d38639","sha256:a4a4a2469293d4cc4f5d5d6a018233789609e3df181067013d9ff96479554f23"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000217","trajectory_id":"vlr-formal-v2-0000217-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e73d63eb49d40566bb092d9fb4134c9dc2ea4e85e421f283afc5494f2c3357b2","candidate_id":"sha256:751f94e44f14d7108a1b6508d7ea7b91dd1bdbe71a732407033261c846c1f90c","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (8, -7, -7, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:98121eda105bc6c0c1f7dee8f5823d449b232481bcffc65be7f280435503f812"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:862a490a89125e4e780fe83a0e2824676ae67832cb7c7742e220d3a9e3a5ee1b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, -7, -6, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:354005e147f4b8fe58484efc625600bb879c3c995ec19d89e6b2c3acb3922c9f","rejected":{"artifact_digest":"sha256:40da7a03fc66c3ccda5e35413f813720a834e7692fbc915077287048c424bbbe","candidate_id":"sha256:35d7a85c1e98452922eff9b42631fef0d67200e1697255f8ccc173bd0a7ecc45","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    table = (8, -7, 7, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f111d180074e89d5a7507fa4ff2da11b3f14f3c97239f50fc44ec54f15993766"},"sample_id":"sha256:26be676bf4c8df04302ff70b580e19f43b5153139d7ed31db6253148f2c2e98d","source_transition_ids":["sha256:517db98f0567d3a0e81976df3b5dd697e25d8556b3a568045b5f61a7e1de7b2b","sha256:9d739d655012878a9e99c4b40a6b923925f7aa1d4d576f67481b4cda6d4ed600"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000217","trajectory_id":"vlr-formal-v2-0000217-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dac4b8a7a1f12e0788e32c135e4929a3a4ae33bec1f8b534175b58dba276bdee","candidate_id":"sha256:6cc68b1e44d52b2991991fd10d9f18ae7215296987bb7f3c4644583d8ed500f4","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, -7, -7, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:3343b4315de5acb81d1eef437bd019f3b1dfbc2409b24b59a2419d1e14b397b2"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:751f94e44f14d7108a1b6508d7ea7b91dd1bdbe71a732407033261c846c1f90c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 2, \"output\": -5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, -7, -7, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ce09aa8724ed85ee728c288f81a1faab2b775e8fb3adcbfd3a3d6eeb9ec43ac6","rejected":{"artifact_digest":"sha256:e3039ec3254e8936e991c30b866a068139ad2cda75e3c91ec65eccbd80acf8bc","candidate_id":"sha256:913d24b86f31b4786ec4cbf4bbe949f22b416557dfc3a050c8ccd37038847018","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (6, -7, -7, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5b68b97d529dcd1d4f7e5f8d387d525cc9977a1420a88e0e0ca86ba72cce3942"},"sample_id":"sha256:5a9496572227208c81a7a22c2985a2451f2e13138cd2c189fa7b79ed1cdccc64","source_transition_ids":["sha256:a91db1bf29750c03e1d506faac35660f9aeff462d4e9f2bab86525f854ccfb65","sha256:9e6e1005400e0336c3c9dc823075dd42b7daf3992d695385d95e03fc87fe87a6"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000217","trajectory_id":"vlr-formal-v2-0000217-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d66c940c110e875c5e7322cf49a5eedab734e024832573af2fa8c08753c3649e","candidate_id":"sha256:2e80738323ca9ec46192a73b4df0142e50c2af4f0d8319cd7e7e08e04fbac4cb","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-6, -6, 3, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:5744e84dd9d8b3c7369d1d0e4a6ac931abfa3726b617619df1ba2ac036efc9ff"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:492e801c4c83decf1665e3d9334da3590f0e3db58b6fa38954e2b71f5c16bd0d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -33}, {\"input\": -3, \"output\": -9}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, 7, 3, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8277f8948cc1dc20c228520207f403f45c85b154eaa52eaaa17d81726f7d31e4","rejected":{"artifact_digest":"sha256:61d2dea6024e6828ec2095b2ef0c19843c3103b4bb56a43d98d1605fe6349b61","candidate_id":"sha256:79fc727784719fcc50f91c1459ea2256d96a1f119dc319a79d66792290d7c657","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-6, 8, 3, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:959a44cb428d77991ddb05a1fdd58095cf2d8f765a6ee787a90961d3f5192dfc"},"sample_id":"sha256:5e3049e2251c5d488b8576cddb20307ef764bd5569f35bc7d1217747c5ae78b0","source_transition_ids":["sha256:99dbce1493956ed33a883c2ea9bec0313e3e7a970d0797803eaff26885d0fdd4","sha256:35ac8f21249ab3bca94564abd7a4e01a4de6b7016ef2e9229c089d579a1a6724"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000220","trajectory_id":"vlr-formal-v2-0000220-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dd40093a754723d6c3b85b0185a3a15c6216d57f5ec2a1b5a8d2896fe172dcb6","candidate_id":"sha256:467960f4e09ccc3fc4c52658eac8cef71e53871f607d931e271b3f0fb798f16e","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-6, -6, 3, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:fb954bf5f02e958e35dd7c68edc787b9db4e5845b92803512d3ff0d078485f99"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:2e80738323ca9ec46192a73b4df0142e50c2af4f0d8319cd7e7e08e04fbac4cb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -33}, {\"input\": -3, \"output\": -9}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, -6, 3, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:535c79b60e4bafd510055e9723268e64fc0963947f5036a7e2ab77e60377b872","rejected":{"artifact_digest":"sha256:0dbdf454d21a157102b5e8779c53ca0b3d778dcaf6ec9149ebf905e384dde811","candidate_id":"sha256:7d04991663f538436f0a05a4d0df4eab76ed60e74a5c57fc99b91fd0990ff8a1","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-6, -6, -4, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:a4d3a11fd6cfecc591e54dc23c9e4d1d3a7c5525a7efe5ee161e8585019a1593"},"sample_id":"sha256:8bd806454d4b507b2b16779dc868b47cfe92691fb22e01f2ce259ad41d258791","source_transition_ids":["sha256:f5a8295614781aab5dd0b11966b75caed279764e51c038ab4f545ded763b8019","sha256:e29aca1eb18d96d0a0a78702612bc8b064598c8cc8c831e3b0f4f4c78d70e50d"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000220","trajectory_id":"vlr-formal-v2-0000220-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7ad128284345c650e0bbbd7dc2bd4ce8376de4d21f049d48447ebd81da51ea06","candidate_id":"sha256:4d50278b03ac032086b87305df0922a8a8adc8fc65fcbbabe3890073e486295d","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, -5, 1, -7, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:56d460e95e54defd3424c38c9f73f6d2c82c0d5b916fb8531bef78f962f81256"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:125d04cf56dd4200cc817ae9892dfe667380bdf28020bb844fb420b6317cb955","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -5, 1, -7, 2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6f81ce350405ee7aaf960e639e16fbd38846c5b4fe0f5cc070dd053a3941d680","rejected":{"artifact_digest":"sha256:17500869cd2c3f664bfeff1e810c751e8a3dbd787f1e6347f21aca1bebeabb30","candidate_id":"sha256:760ea6a401352d9d3b8ab3a3c99d5fcdd3a1d89900dbe7a722653fc38cf80f85","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-6, -5, 1, -7, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c50dc2e5a343dee054c3252d77827bbd12047aca9238cd175962c290eb34baa2"},"sample_id":"sha256:85039928ed887e15928b1a9c307c789f7d98bcfc1d6e605e1115153033b944d5","source_transition_ids":["sha256:87c9b4185f2af4d96918067f74bdeb0a07cb69369dc62a09f13e1e47493965dc","sha256:0b1d7b8e9c803e12331dbc65c068bfdf181aae13f7748934270a4909bf4bf2b9"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000221","trajectory_id":"vlr-formal-v2-0000221-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, -1, -4, 1, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:705c086eda38e5429ddcaa50046c72ab17b93339771d0f6e5b82bf0fc9a6498d","rejected":{"artifact_digest":"sha256:609a8776333af00821547a8565f4509533763f25c3ea7f98286ff3fde0971792","candidate_id":"sha256:3611bfa5a3b6c9f9161de7382bb4b2188b49976eb420d6f14d70942d0ffdf3cf","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-6, -1, 1, 4, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8fad7b3ecd77e5e052397e2d5de24a18dacd6c2cdb2fb5a5526e480e0583a020"},"sample_id":"sha256:2bdd92a651c89193d0b02bf88e509033846ca38599b21d42ed76794be3d2aac8","source_transition_ids":["sha256:fad667511cedba047d8c4efb1f2bdf3ac9c58c44680355a709212232f0f94ff3","sha256:2644f7cae30ab74206cd3535bdcbf304cbf6c46cd73a693dfcc03fe70c13c82a"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000222","trajectory_id":"vlr-formal-v2-0000222-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cbee67e1822951935f173f9b57b9278cf76a0425cc0511b45d6dda82d0a165e9","candidate_id":"sha256:66b796b4387091ecb27909a657d47c7cda025f0cb88dc3bc47e03a9f315479d9","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -1, -4, 4, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4a527e5232235f7fd2617d2329eb5c57527d9e07064089bec057e84bcd1657bb"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:74615833b81d1419dec423ebfd22c97ca06695d8d4d9a5b06cfdc6f598e3aac4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -1, -4, 1, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ae757dc016a0b5621750389ba10004987575207e30baa8ad084d605d94a1470b","rejected":{"artifact_digest":"sha256:76c2bf7a26fadd50ce6d5c484ae33aff18955ff03a4564c239f9d45c985216c5","candidate_id":"sha256:a33635b0d428a4ece3597c8cfa937058034655208856004f1f63026b990efc58","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-6, -1, -2, 4, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8e459411d7dec158f4e092a4675a9f17d046d5e5ad737f9d55b6b88a35749dbf"},"sample_id":"sha256:1df1ed4744cfdb036fe9e3890ada36632b7b39336ade4053cd16e4bc8d98bcd3","source_transition_ids":["sha256:eeea530692c6959cd30265443b862e8273a5140f2b242344702fdd6c63c203b0","sha256:7919ebefa7a628eb90ea9e618817c471e30601f90b95dd51daca432ffdea5f5c"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000222","trajectory_id":"vlr-formal-v2-0000222-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cb96cf33762854fbb39d334fb2488043896a3b88e82360ec98b2fe3a5c210407","candidate_id":"sha256:b31127effd85019aacf088b20697b142050ecd191cfafff4f06168869f1d646e","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -1, -4, 4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:53528560df927c9a7d7bbee0123c7fd1de9e16d9bf60de1cbf445f2f218683ad"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:66b796b4387091ecb27909a657d47c7cda025f0cb88dc3bc47e03a9f315479d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -1, -4, 4, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d4689aeccea256c9330c712b8cc7a62b9945f9277d2570554d2eb6e3f2cbbd77","rejected":{"artifact_digest":"sha256:6de4a8242f280327f86b2aedc05f6f16b4c7eb333899f294bb7ae908900826fa","candidate_id":"sha256:a6f69c9f12b59f63031ba0a1070627dedcbb98a5211244538852ba95f217077e","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (1, 7, -4, 4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:649149c3a5155663a2883aa51793f40e7eb4f1c46fbbb8cd1880bba8c089a4fe"},"sample_id":"sha256:ab87e34fbfb6591942330ecd161be49ceba6fa9c277258074d1120b6c42fc82d","source_transition_ids":["sha256:05e92a43054f4cd32d095cd1a3b10910da9423de8ea508ec3eb16cf06199535d","sha256:7de9de7be674451fb4c53896f538319f55a335dea276a5fdf1cbac35b1d5391c"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000222","trajectory_id":"vlr-formal-v2-0000222-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5d9fcee3dc495aec3651e9f74ca16a469e0e20bf6e6437e76d7068b5a9398405","candidate_id":"sha256:a05f881ff798e6dde79690ed341c4fab96a0a26812f64665a4e9acd3e16d492f","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, 7, -4, 4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:02313b4f05b49e5e51f2d366fbae9a34b3d8d695807702c4587503e76ea9a6ea"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:b31127effd85019aacf088b20697b142050ecd191cfafff4f06168869f1d646e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -1, -4, 4, 7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:da7c0c0bd979f9b33f6e84be3359fbb8e482f2c4467c917d81bac2c5156780da","rejected":{"artifact_digest":"sha256:f21e52d094ceecb47d8bcdfbcd6eeb1dd03079aa37c1f22430e9cba0aabcb599","candidate_id":"sha256:8956bbd2f0c5badb824dc61e8050b20c46768f44190ec1015c238428128cfa97","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-6, 7, -4, -1, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:79a23cc6c252431ebef00450417bf171fec8fac0e58f50d793be46c716b62482"},"sample_id":"sha256:c0aabd22cb8f0fe11b36a20bfe28d784c1db23b1764caedeb5002c2522a5128c","source_transition_ids":["sha256:8f76e8106369d99250cbf08f16246bca8a402bcbaf717a803d384d3c3849d482","sha256:45fe7b90862d3ae6883b0b0ba45abbd0ed4ef0044e3d91b9af2bc1a9fb0ed78c"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000222","trajectory_id":"vlr-formal-v2-0000222-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:36203fdc2ce761cb93c71d5a5e8d4601e633dd38044bd0b945ef33e462c26f58","candidate_id":"sha256:cb771f2afbdc4add6edfd4f5bee3ec114e903fa1308abccc2ca3c3c84fda0312","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 8, 7, 3, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:883bce4e653b67110961de1aae12791a4e154a395dc63b8e3c828744297e0257"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:886e312a072a3a9771df6860ae0b7aa21002afdb3222c5687fc7a7b90fbb5701","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 8, 7, 2, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:709249821faffc159d40127ede816a26a4ee57de7aef4bccb6d044398e13d5cb","rejected":{"artifact_digest":"sha256:54cbb4442efcce884961bcbe31ada53784ed22ee2cc4fa0254bff45b3555b676","candidate_id":"sha256:fa5bf94aaa059bfd4b80a910726e3fb3b5db26f6f02c74417e00316076f24c0c","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":5,"phi_candidate":3,"phi_gain":2,"phi_incumbent":5,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (3, 1, 7, 3, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b64a55f7ffe57e00ca46cadd7b675ca125b7b41e39400726f7c5d8bc0e4a4b4e"},"sample_id":"sha256:f30d09f84e7d60a6088fb97bedd4fd0f917b64c80b248aafde229ff251c116a2","source_transition_ids":["sha256:59c289ca2d3c883c29e86f4d6a6a13ff73601f235c5fd00e3bb8908366df2c9e","sha256:29a718e3f141b3a6d4a1da7e03090448ba715f21dcdc50ac37d2075d612a5a1d"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000223","trajectory_id":"vlr-formal-v2-0000223-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:734293a26c159a6c00048dd0c48d30573b08b6656bd0f3faeea4696a3a384b08","candidate_id":"sha256:a6a95cdd9b3c5130f7c63c5454d04952b66e889721de785ec72781c8556d8754","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 1, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4fd56625395f7ca3e6ab43105ce1d3ce89ad796518c0a0b2f626846832dfc839"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:e82dae5f2ad7f703d3eb965d359461b0f93df4c8ca0b5618af951a13442e39dd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 1, 3, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:799b225477a62222af7572d7136b7aba7d16cbf2c0d24203636f5326193e10be","rejected":{"artifact_digest":"sha256:5687368f9557a0aa09ae45a5386bb7fccc73195538a5a04c0ed4c495f539bf55","candidate_id":"sha256:71959c8d93e55911d963824fb3f7f53cd7d4523cd8a13ad89cd78f59d97e6ceb","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 1, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5e2cc3cde8f9a6918cf55ba568a1f436c33e802408e2c6990274762e36f751f9"},"sample_id":"sha256:269613b109ccff575615bda3de28f69886eea4a0749914f6036c6e3365ec9b0a","source_transition_ids":["sha256:af6db5af5c0ff726768b6761f47df0f6b8781ecf0499fd5b5df3c72533ac9260","sha256:1fdeea5c84b3fb8fd4aff6f6b35d9c2c590d0391f7d4ac213e68a8786e33c033"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000225","trajectory_id":"vlr-formal-v2-0000225-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0f3317d4e343089cba24bd015ce061734641018c9156006085b77a345cbcb937","candidate_id":"sha256:74c36255571fe4b4431d880e0eaf36c8b87574eca501ad8a37e0814014751f77","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 1, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:44674cfc841b1c464aede54b9c7a0ee2d7f47b45d398170f10ae86bb940f81e9"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:a6a95cdd9b3c5130f7c63c5454d04952b66e889721de785ec72781c8556d8754","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 1, 3, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8b21b92a8967b29198defdaa72a0eb0004a251da1b60e7ae40469d7d8f725f44","rejected":{"artifact_digest":"sha256:437425a2730821c3169f6a2581e22ca1438ec6d206550471a5b7940e48e16ea8","candidate_id":"sha256:56fb883383eabe7962123ba0f597395939205724c97dcf464132c5c3d88309b5","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 1, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:7c6b0c468aabb8d491f44b17200630ed9df62c8c8c959bb434a4c9cd58ac5a62"},"sample_id":"sha256:2991edd95b233ef5d8b3e2daa2c9c0e0e5591eb21dc5c5f698168666245bc5c8","source_transition_ids":["sha256:b82b1e7eeca14bb97ebb1a4b308787a8370f1f40a21529d17b0b31229cc245fb","sha256:a333f580f30692dae8bdee548eab478e87638ba05b6c6c98a4b690b5b4203fce"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000225","trajectory_id":"vlr-formal-v2-0000225-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9d455a53403c97790e9b0668d106f9fd9c1783159128f5855870da5155460c79","candidate_id":"sha256:ed1db736ca6e5bb4c98c9e5391a675037b6221da3d6db1212e10351bde9730b5","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 5, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:26069f50ba15b013754cc11739f05277a3f37e89651a7d0325fb48dc8e232533"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:74c36255571fe4b4431d880e0eaf36c8b87574eca501ad8a37e0814014751f77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 1, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:af641db8bb9c82682837e06671387902ea24fdf241a67abed99ef0d60f776bc6","rejected":{"artifact_digest":"sha256:7cbcd4bef3cbf51ae782bbaa798d56186da567a5e719afcad2f6a0a0bebf27ad","candidate_id":"sha256:75ff0bad800bbe60e6f958d1b4e6450632eb4cdd2e0f579f36e7a79136bda889","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 1, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4474d8c4c765efac06066a10482c0ca56508b981a904a8ef6c43296c952ac7e8"},"sample_id":"sha256:7aa0db9d234900cf1fe7f09feeea28e4bee32b0c798bdf2e216ce85a3aabc152","source_transition_ids":["sha256:f7285202d2799694a51a626323acf647de5f30fc25d101b189f5a6730d6ab6af","sha256:794b8eb5b7d98517e4d9b4eef966b34057a852ace85311ff38d57aa3d08456cc"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000225","trajectory_id":"vlr-formal-v2-0000225-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:beb353b45382f96b9aabb6a66a7fc89280268e4bced9c78f8b559cb9f3272e9d","candidate_id":"sha256:c6e8737147f4d4d9b0dc99919f1c47baa3c4cdbe86530ca6bbbed77c9f5e793b","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 5, 4, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dc234921ecf099ae86e28e5e5681039ca7ed8be1119b3601b0872e90d9bb06d4"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:ed1db736ca6e5bb4c98c9e5391a675037b6221da3d6db1212e10351bde9730b5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 5, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3d49c88625ce204442b0c3ef278dca756c177106d122af0219c32256f8ac419b","rejected":{"artifact_digest":"sha256:9d455a53403c97790e9b0668d106f9fd9c1783159128f5855870da5155460c79","candidate_id":"sha256:ed1db736ca6e5bb4c98c9e5391a675037b6221da3d6db1212e10351bde9730b5","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (6, 5, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:26069f50ba15b013754cc11739f05277a3f37e89651a7d0325fb48dc8e232533"},"sample_id":"sha256:1bc459caa0380d38fc3672ed3a8506fa43b9889befda08652c8fb82a107a7c4a","source_transition_ids":["sha256:1ce290c9f6f1722f97475721cc18803dd460ee43a4a9b566c0ace65325a87f99","sha256:d811294d2addd3b625ed4caafe71e5ed531e30e604a82239c455bddfdcacbe99"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000225","trajectory_id":"vlr-formal-v2-0000225-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bb9b2b8a2d1e2b334f06e02742890cc4a8e849dd24a4cfe882a907a9a6614a80","candidate_id":"sha256:bd75ff16860c1d80f45de49429387af6393cd4b354d0521a1b964c484b4cf6cf","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -4, 8, -3, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1cac81dd9225254fd6f66c67368d333a10d274ad52d9d346a112673d86451803"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:85288038214e4619a54e43e89c837aed33610bd777469f9962d882e576171fd9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, 8, -3, -3, 3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8ed51a7c662def6c68790b0b5a22208a273f953d21afcf91935e521dfac7857d","rejected":{"artifact_digest":"sha256:dee3da07927aeaa977686d6c07e9f55122ecb43eb3b22fb310ba7b3ad1e95203","candidate_id":"sha256:1232b355dff701f7a887d1b3991175fcc3f5d6c4a0f4c911d304f290bdf99c43","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (3, -4, 8, -3, -2, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f60ecd781d6e4f600079f86b600ee83799e18d5b9bbd4d72383a7962fa92af4a"},"sample_id":"sha256:45cf32bc7fedb9f135bdb36e05d5ae723a319f780ab0a40d8d5c75c66d9ca04f","source_transition_ids":["sha256:8f1ba74ecfc3e2f4a2830673d7c23613bcb4b6a73cddf731fca57c038d5c924c","sha256:f519b67cfcbb94969872d4093420b79ab6873de22f84b2c81f226cb6c9c6a744"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000226","trajectory_id":"vlr-formal-v2-0000226-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6a49599f1ffe638a113c4e0610ea21b032660a8dd71bfad08f15016a02644a43","candidate_id":"sha256:19d5c271490d580119c22fb1aa8fdcc25fdcd3664a5c214a8d3d210d91030f04","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -4, 8, 4, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:23e2d0b19a02b6c1dcafe18b028f3ce65455f9fa2157c36812d1561cd5471001"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:bd75ff16860c1d80f45de49429387af6393cd4b354d0521a1b964c484b4cf6cf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, 8, -3, -5, 3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d3d241f7ec73ed60ef1e542fa983a39a83845c58caadf00857cb5ec91c2758e5","rejected":{"artifact_digest":"sha256:bc0034288dedf33f9b9ef47ed3a4db871a61e2ea5922a2fba74b904b47918e95","candidate_id":"sha256:60a84cc2e4777f3e9f0a41ff0c785e85f1c117fb28447e4c7972e79e991b8261","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (3, -4, 8, 2, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bd5f471412f75e155074982991e4d97017219592ce9f1a9048d8991339a38157"},"sample_id":"sha256:58bdb812d8985059931b8c062695936fa15b847715acd06f1a4a6c22e805afba","source_transition_ids":["sha256:770c487e22027711a9b7d7b9267257d5c9fe5467e71076f2dced5a670daafdf0","sha256:03446f64a3dbb948752b26d5b8762425d24ac031a6710b13bcb13b9c75457435"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000226","trajectory_id":"vlr-formal-v2-0000226-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:86b54b1f593a5673dad5f95951764a81968f49ab7bcbb228e7eb77a52c3ce959","candidate_id":"sha256:16951abdb516f177d3e3141005c5a16b760cb84217e46035ed146f344f5ccfd6","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, 4, 2, -2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8fc4905ec0a653a4b9cc5fbea64f42e578344df7e7be62b3cdb1ef1f19439f86"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:0df22e9207ad130c5f9d849bf66d7cf5c5ae8627fd92c52a8b2b7a0d768462da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 2, \"output\": 10}, {\"input\": 4, \"output\": 6}, {\"input\": 6, \"output\": 4}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (5, 4, 2, -2, -5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:03cbbbdc54bc1abe32f592b1af87c618de8d72d4efe82c18458fecc664789170","rejected":{"artifact_digest":"sha256:a36d61eea52d347975b2e32a76cf040d51683732521175ea3c202d3bcbca409a","candidate_id":"sha256:59fea9f45d9682ce3ab8f3385c944658095818326316af4a7e34012fad3c5a29","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-1, 8, 2, -2, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ff31e7aa8b4ea0055fb9774b9d900d45c53b214afc3726e97a63b8e01027f291"},"sample_id":"sha256:86054b4a02e215977a2b55afd160a4aebb6a7feb3d0d20e8d5e864d6691002c6","source_transition_ids":["sha256:aa9b9b93cda5d3f374df03e13a9338a9f870a59bdf5dd7521b3c749773e9c113","sha256:0e39c61d0105d178d9903ad324bbbcfc3d7f6e202471700ae9457942f64051ea"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000227","trajectory_id":"vlr-formal-v2-0000227-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b0b43c1a72f818cdc900c256391645284c55eb2bbe5d6fd6879243f4757720bb","candidate_id":"sha256:4573c8efa608700be5a135d0193a693b5ed9da493f6a45f63aef66fa0aaf86e6","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, 8, 2, -2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e046cb27eb5b5583775abaff26c5af6c3281d72d4853efea03985905b40b5f81"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:16951abdb516f177d3e3141005c5a16b760cb84217e46035ed146f344f5ccfd6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 2, \"output\": 10}, {\"input\": 4, \"output\": 6}, {\"input\": 6, \"output\": 4}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-1, 4, 2, -2, -5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c90a95c2f220efba3870593f4cb45af3ee4a5675be0c295d962a6b0158845493","rejected":{"artifact_digest":"sha256:0659f5354fd3b99002fbec8553fda8cdd06fa12f1dc4539e874a189f9a60369a","candidate_id":"sha256:651156867e1ffe2e6a478fa8060cc766c75f666edcccd4cccdc9867804ab9538","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-1, -6, 2, -2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1fcacf2d466e5a6474a106236a094b19a2edfddf4d86db9fcdf4c6e3b2fb4b18"},"sample_id":"sha256:e90739f7c09272c4bef7d2229f11b9b15c6f44ee585881a5ff09c044ddd794d5","source_transition_ids":["sha256:93ee6e07e48dec9f7d901890b6aca7343f161bac7700372b64c6321e731e5b5d","sha256:a2b91bca1cccd16d4397a12fed83dbc47c55fe77770e84d67a1d0c451e6aa81b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000227","trajectory_id":"vlr-formal-v2-0000227-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:07ada8a74c4cbac2a14c18bbc42c1bbe4b7a03d27ae16d4d004074009d3f2def","candidate_id":"sha256:95bcb042891a82666596bd51640318ab657a60a06465c1665509b149eaa5e1f8","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-8)\n    return x + (5)\n","verification_digest":"sha256:fc0cbf3c66d7dce7ec97bf23d6f27685ee15bc67bdfbcfcfbe1f1e1d3ccd3ee2"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:4d51362c1a3d40b972c48f1c079453521d40582ef9aa515925b2134351216ffe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-8)\n    return x + (5)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cc937a6b2d78f9ee2326c91b997aa42dc63e0b4cf2910f504cdb8ecf12b2c0ea","rejected":{"artifact_digest":"sha256:83d1d509f8265c7ea883e967c7a91b02174a25be763f88910e1888126c6471bf","candidate_id":"sha256:d184a1902d77744f4098fa621393eaea62dfb8cab1dd55a66c8e3281a961af43","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (8)\n    if x < 6: return x + (-8)\n    return x + (5)\n","verification_digest":"sha256:303ab26e0e912a79cf3f07a206ba5e0de425b85858be3b22fbaf4af1d08fed32"},"sample_id":"sha256:e61369aa79c2cca4b01f6a7d061ef36a6942090e7220c6c296ce97eed25908bb","source_transition_ids":["sha256:931a807f1254d8a08fa4d6e56c649d1de13d4bb016853b9bee5a4037a5b0d511","sha256:e95212822ae8d24a6e1ed617d2d7bfef97bc5681be7a35c3aa571f432467e44f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000230","trajectory_id":"vlr-formal-v2-0000230-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:af6b3ade0631154a8dfecee807cb71e255d2ce7b89b5b9970ae2d1f0e8d693ec","candidate_id":"sha256:a4be1ad3de44ef52de1ebfcf6c8cd65d21908a528121f28ebc1df669854970e7","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-8)\n    return x + (-9)\n","verification_digest":"sha256:6e1e9c72504a7ea0c2882e5ce15847f5b83a1eaaaed020754c4212c2eb852e89"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:95bcb042891a82666596bd51640318ab657a60a06465c1665509b149eaa5e1f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-8)\n    return x + (5)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7b35491ebdbf6aaaa5a36d6cfc4bdae56a5b7eb71b5db429196c34da7995dfa6","rejected":{"artifact_digest":"sha256:18dfa4c0f38ae4a8854d602f4c05ceb1559c61a2f537734ee4655896990ded7e","candidate_id":"sha256:7543ce9215fc8d6161e83ee266e65de5f8b1c5ba059f8d70a0e7f1ef5982bd02","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-8)\n    return x + (-4)\n","verification_digest":"sha256:efad33fe6d546258be6fdf90fe6d9a3ac32b03f6a660b6ed299a6110fc7d10ab"},"sample_id":"sha256:51698061afdd69bc8c94e483b7ad7afb6fb133dfcafbb8b23894f1c65493da7e","source_transition_ids":["sha256:488958bba0e6efe0d9bd774593d61cc1ca83824c36f302052dd389a3330f45bd","sha256:9fdd6ad1f6895f1f876b9fd91b8d0c383c0f90a5d55f529c461cbf4968440f62"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000230","trajectory_id":"vlr-formal-v2-0000230-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3e1c5a9b2602c6716b5a299b819093554c4e49e750049baa1e9e106f288925a7","candidate_id":"sha256:4bd3af33f0105478a9f54e78d07a5914fbe50081334974c93a528fd38202991b","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-2)\n    return x + (-9)\n","verification_digest":"sha256:adc1b7471ce8d255253c2015d65919ed567111d4e71784f20d625c03863ff5d5"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:a4be1ad3de44ef52de1ebfcf6c8cd65d21908a528121f28ebc1df669854970e7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-8)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cda06c831a3f93bd498927f59c4a2119562560079462119ce1ac12a7358e3174","rejected":{"artifact_digest":"sha256:bf2dc2494ffac53cd18fe4d8e0f66beb05fd3a37cbd77356ce0f576ed849254d","candidate_id":"sha256:ef127ca446706e816d7425ce3bde83ed3b9aab4f7c559687a65af97ee7936b10","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (-8)\n    return x + (-9)\n","verification_digest":"sha256:c4037bede923e50fd0ce76588e847b1a065b831bf1b8fdf7280ef0e4da583202"},"sample_id":"sha256:3f8faa26dee96162eadcd2c5c65f59cddf54a9591fbf6f0a1d1ca6235aa1caf5","source_transition_ids":["sha256:85f42a5b0aa1f67293989d289accab72b1165c96a6c491a9573dc6db733a5409","sha256:c208c88e52c2c44096fed8dbb2a32fc427501e69886ce3cbaf433a1299371561"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000230","trajectory_id":"vlr-formal-v2-0000230-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3d1cafaa424af07a3eac0ba0c273cb0be2f3cb2f551562384b903b70999fd28f","candidate_id":"sha256:b4d23a61ed59a74e26f3d8c2f07a272d23ea9aae729ba15ca9f0e2c2e1c84e75","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-2)\n    return x + (-9)\n","verification_digest":"sha256:0e0635ac37ae150b61e81b641a87276e5f466a457e05a6d2eea2f7152bed6df2"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:4bd3af33f0105478a9f54e78d07a5914fbe50081334974c93a528fd38202991b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-2)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:63887df3e01cd4265fcd17eb95585fdf0fd8461a3b4a2dbc24e6252c57f99c5c","rejected":{"artifact_digest":"sha256:3de2c8a0c4fe9bbe4ad850ab4e4738fbfd7c00c7afc9b9134b0b060964811bce","candidate_id":"sha256:9cdc098b7778b154875f6cee9b0c4f68d8ceeade777db77ee7a22888b47b0e50","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-2)\n    return x + (8)\n","verification_digest":"sha256:c601985af8ffadd0df976dceae218355b2358b4292d4a02ff385cf682e77594b"},"sample_id":"sha256:016300d7baa68497deb364d8cd6da065382032c73ab06b0999571ceece41bac8","source_transition_ids":["sha256:8e263301b30e1e01c2bd537d3be1912ac46832e740686c345bc4e39157e86af7","sha256:3d4efd93f8a1561e452c1bc35e4dcf3fb3b9ee6b982af5e422c3967ac0e7a0c0"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000230","trajectory_id":"vlr-formal-v2-0000230-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2bcfe0a2b2450b53f762a2152caa65cca89f55863309d336bca61525a4c6c2d1","candidate_id":"sha256:45bd81edc3509bbf95542e55b964c8c2812fd17117215e7b85a8b470f719080a","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, -1, -2, -3, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4c83ae47420e4d30024911814c0227456a5afc30f74024a52e91a894537caa70"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:3e81339d48c6357cac0d5e59e4385c88b080b3186ceac5efa62b374bd083fea0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, -6, 5, 6, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:51a2c6d46f622b001606c01a1fd5f3aa435dac22b4a3bd83c0f4f236660a1126","rejected":{"artifact_digest":"sha256:6833ad091e0de6025659a17efaee3508e2079de466e410ba09c9ddecb9ce8e9a","candidate_id":"sha256:710ee0aeae0b25f3274131ec7f570619bfc7e181801a6f839c37b5260fb494ad","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (5, -6, 5, -7, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:72d80f6ee05e8e894068cc43779d78d0c8e8547d0387501da703ec20a7d6294c"},"sample_id":"sha256:863710503523f60abf6a0c07699ad75487f528e1056bfd672b0284e97049a4b6","source_transition_ids":["sha256:8e5298ca86826bc8e25645bb951290fba803dd04480380689410c2bf5b2f063b","sha256:c8d46a91c8fc95b35515c27775d3fd38928ea406ce1492e66c709ddf6e66cacb"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000232","trajectory_id":"vlr-formal-v2-0000232-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e6471f2aac3eecec35cf108f45e0ce89dd05aa03ece6f011d97c8215713274fb","candidate_id":"sha256:2f22075a6cb15e8c59f6548af79d076e97cbd153f4212d0313ee61a9f26a2c95","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, -6, 5, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a2a163af0ac277059b32d18cff9b6c5ac8ecd868e1c27a02ef60a7e26221be54"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:ef1a034d6c722b26bf69c5c91a3c5b51ab1742a9b4eeeb4eb44b99bb46d4a654","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, -6, 5, -7, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:91a1e0f95361e7658e388d97a61e567b1ac4f388c0e8c488f08192771e956065","rejected":{"artifact_digest":"sha256:fd6e4ec527cdcf9ecfc6e745d4ce9870b160aa38a72a56596a4bfd250f664798","candidate_id":"sha256:4d3eb0f9f776eab5670f12f7da65b9c9e23678afae8d90487c6077f23941fa67","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-6, -6, 5, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:41f1a10030200dc5c1a8692782a5587c07a4c87b787fecf7177aa936fa069ffa"},"sample_id":"sha256:c1eaaa0efbe4f69bbdcb70340a4063b97eae9f4d4db719cdb289bce80cfa64c6","source_transition_ids":["sha256:848bf44bf13faede3836ae5c5a9771b4500e4a8127fe278af243829c3b4de5e6","sha256:1b8572872be2e0725189ada52a78a8b35920bf70e6ac87327ae3c64f3872461f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000232","trajectory_id":"vlr-formal-v2-0000232-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1b036fcb59324459bad924d4cd7615b266d7e52b03d13b9ceabd72d157263720","candidate_id":"sha256:7e6a856dc7faad6e8ef85e2c0ace3379f8118067d33083bbcf9ff3559e56aae9","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, -6, 2, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4e44bb5c71d24468c17acf2d152d05c32ca3376a09fcae728c1d99e42bc669fe"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:2f22075a6cb15e8c59f6548af79d076e97cbd153f4212d0313ee61a9f26a2c95","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, 5, -7, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e123d99618a259514e5439a268b099ae4ddf2a7e43564abc107c15b851b9ef52","rejected":{"artifact_digest":"sha256:342649bcb89d1f199846b49e7cd0994582e5ef1ed7227f03baa74a5cc687246c","candidate_id":"sha256:bbf0fd24a186a29f2455cee6c823d3deb3bb5c9aab65d414a2a1d864ff5052b1","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-5, -6, -4, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8294dfd921e077c115a7d173a881c3cd3a56fe0d5bc98783525036a31b60e01a"},"sample_id":"sha256:b20e8710b6e8593538a6ccdb56315d9c69f745305990e41a4190ca93a2886e56","source_transition_ids":["sha256:b083c4aef1506d1484c3f8197d44095c6ec98e5010c576296c8dd0ac2a96f25b","sha256:25fe23e25411a63af68638170bc3bb7e52769c22201f6bab28a8d413938a1c5d"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000232","trajectory_id":"vlr-formal-v2-0000232-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f706bb2a022e914a435f424eff317eb5f5571828e8b68422c3420962047ca252","candidate_id":"sha256:725f45ef93d8ebb3ca435014ad090bfbfe322d35a6333e0ae192fb4c9e9f728f","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, -1, 2, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:01fdb73259cdae5c52ae32a69962e91c459671fa6d5160c97f8074cd30d48bcb"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:7e6a856dc7faad6e8ef85e2c0ace3379f8118067d33083bbcf9ff3559e56aae9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, 2, -7, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bf6d23e31b8a3e8daf1293370fff703b4fccf386e183a8ebf39e5b40a680af45","rejected":{"artifact_digest":"sha256:01252798f112af82eedb21dd6c09486de2512570a2f041a7c2e79c2a65189a66","candidate_id":"sha256:a9036f595398b9ccdd746947f324ba0b8178585ad86a0b10f6b28797ffbb64a9","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (3, -6, 2, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:36fc781e207aa3535919c9b353b57015ec036f532b1f750ca2debbfcb5c715c7"},"sample_id":"sha256:14fd67b691481254c88af9ca4b0cbab7c7e254c7be72c7a67e09417b26c4b19e","source_transition_ids":["sha256:31c2c388ffa9cb5ead9adcc7dc7e3fc8d357df190122239e922dcfc0deffc269","sha256:092b255d0f83e58714b02b746f2e9993df0644be60797457c61eb10cec24f827"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000232","trajectory_id":"vlr-formal-v2-0000232-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fb1f337cdbff44478d1ffe9dfc673e24645167e348cb7a520d5f006ecf578f90","candidate_id":"sha256:de1e8c7a6c14dc0cf7db342d7b16d2bc4b030b1a11ac99ea23e2f8dcece657fb","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 4, 8, 9, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7736485565dc3862b1a0cd56df17b7bef4951d5b4416662dcd3e68a1fb48bb25"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:3ede3794f0f151a7c3322e9c49d9c5ebcff58f3805542596ac80d459605b9206","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 4, 8, 2, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6b38fe497e8aaf73093c63d91f63f5a46372a7d91a29e11b3389f20659395245","rejected":{"artifact_digest":"sha256:451c2016a4c8b50c61126b054d4dd173e4c71f542bd425750ea84cee32bcaca7","candidate_id":"sha256:23842036fc047c534bf7930f23cf9460c738bc256135a088f7dded0b0b8b176c","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (2, 4, 2, 9, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:31d8eda69cd6263045f1e2fd39727434d430bd09d164e43f6b2a70ecaaf4581e"},"sample_id":"sha256:75f66d4025741fd975049fe0026ea149d5b5b6125ab8909a490d66e35f928a12","source_transition_ids":["sha256:cb85b2da62ee0f0e7884c161423a9dcaaa244c6f653dca092a47241bd0618f44","sha256:7ab24be7e75878d1d66481302e5f561a12f36e9dda314380a7998bce4565b8e5"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000233","trajectory_id":"vlr-formal-v2-0000233-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f3404f9f4d37aa75bb92282d019e09d0f8b68c90f280d2fe8ab25dfbd9a11104","candidate_id":"sha256:7cb90cce2e096490616d4a51e9deacad89ce236353c9f29190f383d4b219576b","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 2, 8, 9, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0ffe99314bd6853e24810dce422360c08dd742707c19147aa8b6a1320e8b3d0a"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:de1e8c7a6c14dc0cf7db342d7b16d2bc4b030b1a11ac99ea23e2f8dcece657fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 4, 8, 9, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ebcdbccc9293805888ccd39e744faf2e81a4a003db891f061ed1330aaf1b120a","rejected":{"artifact_digest":"sha256:b1b21491f87f97507165557ef79e4cbf5309b74c13a84fa9fa555b7231949b6f","candidate_id":"sha256:6f441b81f83e7fd5d0c308e973af1b3bf074667ac9074e994bb7387ef27f3da2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (2, 9, 8, 9, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2eff4a83168e8db1dcd67cf4cf46ba4a974c73c6283070f38610e704b96cc1f5"},"sample_id":"sha256:596ff71a9707e14679d580eb91cce94613739296783f9922e8e9735388d472ea","source_transition_ids":["sha256:df3927273940465888ab96f6c289d6ad9addc8a9107bc8d928b39a26f17fd4fc","sha256:623ea5819d9897c9d6297b5777a2f754eebb18cf388c2c568462cdd44a19fbeb"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000233","trajectory_id":"vlr-formal-v2-0000233-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:72f1da807bd023f50c9c87c4e796bdf93231ef0a9cca7fd2959147ce0b144630","candidate_id":"sha256:852db747feeae6dfd856ccc10c36d0066d3a633c5e5bc0ba6f3fe32efce955f1","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 9, 4, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1723772af0d922b5bfd7afdb0ea0bbdbba2ed9929f7e1f7f58a6397793858929"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:80cabb77020616bc28450d11c4334ff1d03c3ff69711c5d9e64638fc1282e77e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 9, 4, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4c2af01c9bec3b0ffc3236a19d0f283b11c8978a6935dbf592fb3c2520445a38","rejected":{"artifact_digest":"sha256:1795909300a69fc5f00e81329e02e9fd838d1baa2deb260d1f8c035962e0f298","candidate_id":"sha256:4ad21346233ce3fe13b2ed08509a07a92cbcecd043cfdf395ccfbf064e1778c8","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (1, 9, 4, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9653157fcd7205f3d6458c8fd5e32f98a86d32de5d6f901de0d9bfe8ffc76fe0"},"sample_id":"sha256:20186d17dd1a59f825c6e351879e9c96ce762f046fb80a723470d7efa098ec15","source_transition_ids":["sha256:56d6ddf1ab14859e0eab83e5372554ecb92608df277bcd5dde20f61131d5e960","sha256:8f29063468985668b972a40bb74456b6e3d09406940211df76270eacd03f6449"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000234","trajectory_id":"vlr-formal-v2-0000234-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0e4251a12922792e717c2a134dcd61273078e4a2515ff19c6fa36e769da4177b","candidate_id":"sha256:8b47e41e1ea98b37b8e18d9a87ccfadd25f5c4ae111261e0fc1796133df69244","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 9, 4, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1d2e3e110ced8ad8c63bd4ef3390e978e6df74389f6417334d2c2846eafdabd4"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:852db747feeae6dfd856ccc10c36d0066d3a633c5e5bc0ba6f3fe32efce955f1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 4, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:26f79039849d11a848915f42ce8fd60d48f8b97c289ed2dd25084041eba55b67","rejected":{"artifact_digest":"sha256:edb8ef3815bb848316f5aaca3f0b30eaaaccaa78484ea1daf6cd5fdf11286492","candidate_id":"sha256:628e321332c57510a59182a1ec93b9530975c745f0a2e5ea16d3e06f94ea91c7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (12, 9, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2989c8bae8691b8a0de70ea7e83ea42a1826773b26337918116911a53f6ec240"},"sample_id":"sha256:a8834a66b90efe484f3a3b81121469fba25aa848e9ae32546a0941095b7608e6","source_transition_ids":["sha256:1db73be3a0b8ab54c56d27645c9c8d681730d511ba40ebb0aa26f9b44bcb1c90","sha256:04bf226049d6fdebcdd55e32a9d5343dac1c350abdcdb2925692ece214cd74b9"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000234","trajectory_id":"vlr-formal-v2-0000234-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d23f22100ed6607003c940a291d3ca999a4aecdc3b3729edbe6b31716e986a29","candidate_id":"sha256:5e1532633e37c31126b0ddd4f574299b8d100b66159e7242ab747b7ccafe01cc","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 9, 14, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c4c5714b6e156891f5ae5eb9400379eb045939cf1966fa7a5a73d8fdca336db6"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:8b47e41e1ea98b37b8e18d9a87ccfadd25f5c4ae111261e0fc1796133df69244","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 4, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5e3988642946cb6180143c7015723c2c162541243337d0f1fc03028ec5dbd780","rejected":{"artifact_digest":"sha256:11fa503813e7959e8650e658912bd3ed6bfcde2b0c45f3765cebebb5eb36c0ec","candidate_id":"sha256:923dfa0700d25883264e8aa37d0bff97fccafd3de294124ce121a6b256559e06","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (5, 9, 14, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f3dc4ebab319900b87b206f72cf156042990b2a9eb2c589c53f16a6d6a238d70"},"sample_id":"sha256:0dce5d88c8da1b5e01c3e376de1eac3376cc9fea4768adce149398811020ab64","source_transition_ids":["sha256:dba13a1198c3c57840012c48b94c3b48b8a08031faecc0a22b994b96a04f378d","sha256:177047b29524f7575aec9bcb3ce96eb363d243fb2ce5be827587be35cd8f3f91"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000234","trajectory_id":"vlr-formal-v2-0000234-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a5a4ed4eb8854c0b269c1bb517410cf224acccb5ffb30efba8f2a1201fee6c08","candidate_id":"sha256:297531a99986847af54066a7cfd7739d37cfa3a7e3ee30dcf744bf2de1679e12","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 1, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b00738c21ecfc573b76c7e08a8aa92a95bfeb6ad946b922b79272a108ac45149"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:f87a5b6b25828a0555f6cd3a89933f1aa4c189022102b83eb396ad88e97d6f99","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 1, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e3a25d9e74d63c47640bdfef63307bc17268d8ad0ce01592b6401e861e782117","rejected":{"artifact_digest":"sha256:f165ba7588a559dedfac3d0ffcef81e7ba32ce85cdab3fabcfcbcaeeab174cf9","candidate_id":"sha256:eb3bd60141bcf0dc30822ecd450df470c78d50773d4aa06f81fe9cd1a8d03b7d","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 1, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:9a2d8a5a2012afb702cd0ed570a64e113e7b64b2a850fc33b584ef34a778ffac"},"sample_id":"sha256:559338fc28ee2868078b415bbaf4cd9ed625c8e83cadd990f684eab76037b873","source_transition_ids":["sha256:cec4cdd0b992e47d238ff6d543b72eb66dba9120ab0565246cecade1f5584e30","sha256:c7071737f5aad55adb941bedcc0e86a8aba43608e88e7b0e73e368bc91dbe064"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000235","trajectory_id":"vlr-formal-v2-0000235-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a83cb70701a19cec6688a56ca8b57c4ec976b4e52fb93234ea4a1a6472a3a196","candidate_id":"sha256:497b822d9536dc74c8df15d7a42de408bd624e3d87b7c1e62c3a29dcf9350316","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 1, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ffd6eb478fe33198caaf388fd32802b2a7a9538dcd7ad22d1f75ef644b1e06ed"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:297531a99986847af54066a7cfd7739d37cfa3a7e3ee30dcf744bf2de1679e12","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 6, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c325fb0d7ebd2fe415f8c803934661e3e652bc6e754ba079bf9cd2f37e08341f","rejected":{"artifact_digest":"sha256:36abcfdd1ef85183ca4d22b38bed625f27789889652481e2fb20e7c54a598d1f","candidate_id":"sha256:76112031f78e2182aff5cbce45ae5103ac956c176e32474e88658004ebfe7f47","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (3, 6, 6, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e1432e77c6454086179bf2ebff0f3a81d71987500e8383644273d68f255c5200"},"sample_id":"sha256:e8b2473072c2bf1dce42fd2f07bfe227cbbbf8970bbcf537ef50d08bb948e5f0","source_transition_ids":["sha256:fd8b2000027f7d54e4129bf78fe90e2f3960ad8bba3fc81ae5439bbdea1ea8b0","sha256:2660ebb807658b578bc6761daceaeb6b4b328de94d201612fa11bcb4e50c26b6"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000235","trajectory_id":"vlr-formal-v2-0000235-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c28b3fc395d63152342fbde61af752ecb8740e17ede7d0cebb62eadd82b534cd","candidate_id":"sha256:4fea09a4e2f9f7d536276e5d7b610cf46484d38e19bb3cd94eff0b7df83b4559","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 1, 6, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:0daa8bd06e902e841be1e5979578b06a2bbaa40316193fda750b46231955f9df"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:497b822d9536dc74c8df15d7a42de408bd624e3d87b7c1e62c3a29dcf9350316","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 1, 6, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:828f0f59149b70590f118c81b49cd1860cb016f0c267fa2d5ffbbbe8b75a98b3","rejected":{"artifact_digest":"sha256:8adfe94a3cec50d704cfacbc1ec820ddab35f9040e1c437e25f64f2069398d7e","candidate_id":"sha256:87cb1202b6a519f1e5bd08c09cffdea4b3f263a66d80b31d5079f55f3d5b124d","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (3, 1, 6, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a02547da5269c660d397abc8d1c01891654bb76bb1c591d8211ab55df380ab9b"},"sample_id":"sha256:b60c1df69190d1a43bd00099b3949ffad698727fede38d8475f4ab3bc9b32f37","source_transition_ids":["sha256:fec09cb53e653dbf2071a852029a83b3f1fecd5a2ce9a64fcfe0fdce1fb59b66","sha256:cf9a369fa32b47797454f949812bcb264704211e4dcd5c18c25e1bce86d78cf8"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000235","trajectory_id":"vlr-formal-v2-0000235-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:33053798865dbb820f86521bcfd3d358e1aa5ef9151dec43e879aa28b6aec346","candidate_id":"sha256:7e461301064f1ee2ad7fc608f98efc3686dad3d3f1058c09a9130f40531f91cd","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, 5, 7, 7, -6, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bd9e2904987d49424f8b89e113127fd4834d25160f28473b1ba7870faf2ec803"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:72f22b0ea72ad8fa21f8248e9b67221a9d7d2895fb8c91c15268928e3273fd92","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": -4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, 5, 7, -1, -6, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7b78cc5f681322cc69ab2d50a34463c2ae197920c9a7100790592a683bb8587c","rejected":{"artifact_digest":"sha256:c189df074e76cafb27110b731f5072a7b02a6d8d13b86d199cf5f77edccb58a4","candidate_id":"sha256:8e234207f9adc1952576d63d7fae7459f775fa8950a31c1ac03a321df16bdd4b","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, 5, 7, 7, -6, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5dd80f23072614f699f71dd9356a86b1f02a5d816338855b97986f03f70043b1"},"sample_id":"sha256:459cbc1fb6e80a7ce52a02694da3a0b652fddf4ba489ded073b3c9e57ae3389a","source_transition_ids":["sha256:ebc9303004afc719718a55d9d1d335ea0d26532b95723ff073826a991377adcf","sha256:db3ec0856061bd35936ae8aa7b35829fda52ce2b96e48185e3c4b228a9c3c624"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000236","trajectory_id":"vlr-formal-v2-0000236-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9355adfc21a7d9a11c914c34d57d836a8595a6d6f6c7e1cc0e796e9f0ef9e4dc","candidate_id":"sha256:838e853af8c8bb46ba8b4b0f83c5d4503561376f30702e4139accdbeddcaea7f","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, 5, 7, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:22c6f21577fd54a48a8f2f2e1b1e526d134ca7bf6b98882ea2ba2b115dc3012d"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:7e461301064f1ee2ad7fc608f98efc3686dad3d3f1058c09a9130f40531f91cd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": -4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, 5, 7, 7, -6, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ad14589620d6ad4daa624f5b585580c4c8b6f93cb0ce23c61e6d8860ed54dfa2","rejected":{"artifact_digest":"sha256:5a4867432954d53b4dae1028f539446901fd4cb8fcba27f3bea5acf32156317a","candidate_id":"sha256:4399c88646a75744fadf2a8626943b5a9a0408109f5ed921451a2a8e3ae25c26","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-5, -5, 7, 6, 8, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ad1b91a07163c3fe6db1bc47ebdf4c1485b5831be7aacc28920b514927f55771"},"sample_id":"sha256:43e30e589347859e59bfebacbbafbc5e19e17b0486c5f2c7dece12ab03f6b821","source_transition_ids":["sha256:c059e72f12158382f72b3bacc17f478ddd122db70cbc20ab3f099ad382cba5e8","sha256:ae6147173c4dfaefc6cc727f04529390d9dace1991c9dc6c0d0e547080c43df1"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000236","trajectory_id":"vlr-formal-v2-0000236-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0959f959e6a383e36ec76b5aff5e9ba3bf8c083c582c37eee1414b883e2b63e7","candidate_id":"sha256:f674ed2f4e784dc92fcfa40efe52b66ccd002d48f1c5340c803dc2b9f3d028ab","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -5, 7, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:421424ee5e3b7dc389537287c43e155aba1fb6ac128477bd1340a5a7008a231a"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:838e853af8c8bb46ba8b4b0f83c5d4503561376f30702e4139accdbeddcaea7f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": -4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, 5, 7, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cf1ebf48ac31f79d26664af2f3f09f612ebea86566a7fc0e304f22b10f933557","rejected":{"artifact_digest":"sha256:869bf57d6118249af2580fab29ac1039e8cff88e405ca36a3be24f9b30e5ee98","candidate_id":"sha256:d661715fffecaf06dd94b2bff399422b99e41c498a34f073e36a538b808e2716","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-5, 5, 7, 7, 8, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:95955aea243870e2710bbea2efdcbc5239416858fb55f48344764e75ee151881"},"sample_id":"sha256:9e37751a855d74b91d2e462caa550703cf83be1e6124b6e28ff2330a3b99e38b","source_transition_ids":["sha256:3a8a057358f6d982626a48b0f77f51e531d745bf57f317f536dd33a373cb5419","sha256:a47287f77a371449d235f70661e0561b475563b89783582729f8a9b6b534845a"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000236","trajectory_id":"vlr-formal-v2-0000236-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:76c95ffada8c07e32ae52cf20432abbb37c10f3a2e0eaed9501d1db205024001","candidate_id":"sha256:78f8a14a8eb46321fd8a84815991924ffca6ec2bcce7ff82ffae4418fa47e33a","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -5, 2, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1ed08254adb5acc9b567d730c6c92be0ae47e938b61bd549ec91122395b9501a"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:f674ed2f4e784dc92fcfa40efe52b66ccd002d48f1c5340c803dc2b9f3d028ab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": -4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -5, 7, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6030a9582d888ff90cf56f402a681c7e705a36ba6db59709e443935e9d3dcb40","rejected":{"artifact_digest":"sha256:320f6001fdb51e55eebbf3dec4b85939a7bd4bd2bd92f2a0463119daa4bc3171","candidate_id":"sha256:af68c6f4ec2a0f93248f93418db6d08bc2136f1e35d85651bc18d8439c9fab82","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-5, -5, 7, 7, 8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:60f8f0dc4481a70196764c4ccab1a9fec2ee6975d9a762f5a31e68e377e8cfc9"},"sample_id":"sha256:75b4dc3b2ff341e6ec188ba2ecd06f65021d2a93d651507d7b135de32f67c89e","source_transition_ids":["sha256:31213225a3273bcb7d972556a71d81b43d3f7bf6d060089527bcfc5c1e8ce361","sha256:3db8c0ae8ddd815324f8faf8126c71050b9ab7ee0d8579de39630f3e39c7a66b"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000236","trajectory_id":"vlr-formal-v2-0000236-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ef7ca923043c61ec49ab1f44b7d02a95d409c46faeaee45c65d29c31a08728c0","candidate_id":"sha256:41851875b60c4c866fa68349a730dd9b7e8eac255c184ccbec57be24a079f75f","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, 7, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:640d2c46d282c4b53c6aaf00cc0c6f5a212a3443ea970f677d294cba845a4cce"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:412ef30a1ca07426460e5f2a4ebd7643210f86e9973f9194a177a6598f034f74","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 9}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -8, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:40feea6dee1fc006d31c21d4145147bdea07d920011809c4e986116447593aab","rejected":{"artifact_digest":"sha256:4bd8cd9bc6df816565f17fcbd1dfc69e2144c385d5f14a22faa89957c55cc32c","candidate_id":"sha256:6c9d836c94ccbed66c24801476d281dedf859d774b4b9a9f2313e7be7a5b5d09","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    table = (7, 4, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:86ee39bb479b1de0bdba6e7c9d471dba6c09d8ec898982f107e44eba88c64791"},"sample_id":"sha256:fb9d94c04f47910ea9cf78552292b6755c4ae12b17d3e864152d86a8873c1abc","source_transition_ids":["sha256:31b5e7bd20bbacf3d39b4b34a9e02e9852e1ab5d646af52bf27096dedbe8a56b","sha256:cb537a7d621c7a5543a7e19213e5cad115aaacbbcee28ae303585bbbe717dcb8"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000237","trajectory_id":"vlr-formal-v2-0000237-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:440ec74c3d5360e71bdb4d10b9f08604f07721bf702b6fb9475bb84335533a78","candidate_id":"sha256:513613b666a1b4090e8de3070ac0d67b9b16ba36e551a6d5babf6256cca50f07","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 7, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ca9b06d060cfc84049394e09ea0a20cd541a83c3cc59793d1999820617bb7c72"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:41851875b60c4c866fa68349a730dd9b7e8eac255c184ccbec57be24a079f75f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 9}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 7, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ecc6efe5368c3c8682f99efa468b295fff9fbdd1c0d0113904d1d984a8a031ec","rejected":{"artifact_digest":"sha256:23120fe80f7bf2ee5536c7a0a8f727afb9c553045b5ed461a7a340b0b5c16ff5","candidate_id":"sha256:44412bf0123ab7d0e1283893e6db2c96f8313e647b9b9e7c9d83b616f35d3ca7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-6, 7, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f78ab779b3144efe4e7a91122e0bfcb2ed6ee89b0b2e789b62c13d286c6e68b3"},"sample_id":"sha256:698aab961754ae5d2202f8754b55a2be04d80b952fd50654c430eab1b7d77884","source_transition_ids":["sha256:89e5efc9a6429d42fb65307d2de48abc5bab69584048779e1288a793ca3d8147","sha256:c77b1b8c5113919f5b8595a3af1381b0977a4d332dcfd833a8896c032413d57c"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000237","trajectory_id":"vlr-formal-v2-0000237-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:83ceafa6b50ee887722b3b3687291b86edb290ebf0b77d161c01d21224c4e3f9","candidate_id":"sha256:bbe6baa4ea395f4252ed1e27fb1a5238de80b8fd56d8c6f8baf23a77b5797d96","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 7, -7, -1, -8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f8b493f29dd0be592f0f864cf628d17e711414d985385f567fefc6944a190653"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:513613b666a1b4090e8de3070ac0d67b9b16ba36e551a6d5babf6256cca50f07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 9}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 7, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a0333b79b5ab74a2e89ceef11c2d514ddf2bca543538ad6e9b192329e7e59760","rejected":{"artifact_digest":"sha256:765094adf0e1b6f1cf83b6ca162ae21279e4302ef6ee2a5a8f0fd2760de57491","candidate_id":"sha256:b787f04d1aebe66ac851f4d4776f9d61535e61d4904c0a08394c77aaea48170f","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-5, 7, -8, -1, -8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:fd3ee77941de637d002b1892e229a6a582450d2fcc20f063e98a38802f1c5429"},"sample_id":"sha256:7e7d614f20c31c8ee7aaafdf4b1d1617ee01884db477cd693a73e2f10e28a4ac","source_transition_ids":["sha256:399ce04ebbfab2de1871c6e96ef6420aec16973aead86a68e04a9125136ed2e7","sha256:38ef0f46fea6e7f28729865213745eba0b8fe8c4ad3c1f569e1bf73ff947fc72"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000237","trajectory_id":"vlr-formal-v2-0000237-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a91585ec5035a0bf3cb7f58469a1ce2e31c6f58683420d78645b25404e967480","candidate_id":"sha256:c50dda8f497e37a3130153b6b6448b72dc9a6c8aa1bc2aae8cc31f3004be7843","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 7, -7, 2, -8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:27d443f0daa06896b82f7ecc4b3630d1141baadcdf02c939902d6983ceb7b8e3"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:bbe6baa4ea395f4252ed1e27fb1a5238de80b8fd56d8c6f8baf23a77b5797d96","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 9}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 7, -7, -1, -8)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2df594021095b8ceac2a79e26d1d2d1ad18ba0b1e5163414daceec26f6e572c5","rejected":{"artifact_digest":"sha256:8f528c42c62ace538438fa99b0e6bd6c90e95acbd12820cf0e95e9bc8750657e","candidate_id":"sha256:cac20ee050da13b097228cf9c4ebbcb6887599d8f6302a90bafe914795bb0d8c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-5, 7, -7, 1, -8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:de0f87a5758c52223a68ebbcc0ffc332d42f6d9390c37dfa81e4620b6c8d4c99"},"sample_id":"sha256:abb2c54ac9247601205445998b30464becd22538cfbb645b0144d2c116f3e98a","source_transition_ids":["sha256:52ef2fd5ee369499166f056c94ec9d91983e76347a6735323b6e51a206a5e73a","sha256:f525de8eca92e0cb0a7a61beaf3c065f73ddf5d6a4e5daa21036b4b7606206c3"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000237","trajectory_id":"vlr-formal-v2-0000237-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:311286ce1194eb10f728bb3d46f3d63f81a4bc9d1c7ffa720a2c1ea14e5bebc7","candidate_id":"sha256:f9c64e81e76873c63209f3c70efbdfa9722c3daa23dd5ee4d8860fa94484b2ee","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (4, 4, -2, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:1e0fc51a889bb6ade602d831c426fc5e255272ac6c044bed31d17651b5aceb44"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:9c2f8e646c0aba4530e0b2d89c15c7d822c15d9e76df204bd479de380e9614b1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 4, -2, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:42d7722c7fca839cc3fc943f316bfd7b6b1459fdbc4cd853bbd4a262331a2943","rejected":{"artifact_digest":"sha256:9de94ef5f1f2d80c15e7250d11d6fcf69ae00e903ee21c04423e6fb2d0d97415","candidate_id":"sha256:0bcca9aa328ae5f9812b1ff2d36f317c6e3489ef7c64d0d666519981cf8e7654","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (4, 4, -6, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:ae1d95d93747558f630d3f7b7e2ddce4d2ffa3751ec5d3293b2605354966c1c7"},"sample_id":"sha256:ec624fe6435432c89cf19ddc806416ecec532d1290f4bbce1dd34ca1992dc5c0","source_transition_ids":["sha256:80d880c8dde5e87c39ca64974828c053c4e79635ea2c274bd04e2aa393fe48b0","sha256:4036cba103e750c476fbdbd53cfe6dedb83b8c272ed989744c1d736419821277"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000240","trajectory_id":"vlr-formal-v2-0000240-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d5d00a65f9f05b64149e4cfc358373f8eb50eac17d6ef6e3e4e0fb225c2cb2dc","candidate_id":"sha256:ad7de562213bbf3995e2f32e743849f5edba15db7050fe1ea70b58cb793880ea","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (4, 4, -6, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:65714c01684da30f0c20cfe4bf2ab3972e9e542d36f26bf4525c729c7a15e4e6"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:f9c64e81e76873c63209f3c70efbdfa9722c3daa23dd5ee4d8860fa94484b2ee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 4, -2, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:38b8ff5285fa2bb720fe1b7b569f3b244fa5d49e44fe2083019fad47a15de425","rejected":{"artifact_digest":"sha256:39679d9f802f331ccf74d0a643fd9089f6c1f393410c3517b7fa0b3153e924c8","candidate_id":"sha256:7bcb0e674b1adb4b724fd14d1783cf424afc7745f1021f53a7d95fa6be0db7a9","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (4, 4, -6, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:73db66d83df36ce4b9c76475387ed813343382526ec1610e6c62f3e08e7a9c34"},"sample_id":"sha256:9438ff068b5b01790eb1fbe6b5f8c4a97dbe604673bed10256b27bed0cb4408d","source_transition_ids":["sha256:bd773dcfcf942ce4aca6c82c482996f2f61014b41f7a4c94773c625b79cdc687","sha256:494c0f1375e2533172e4a87987836d42216b54781a28e20d43f093cb37b79e97"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000240","trajectory_id":"vlr-formal-v2-0000240-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:304b6c38fea6ed2f2cbbdfebfe059be4c12bb4cdf27e803473955e68136c4827","candidate_id":"sha256:e4f3696cd2ba2eb87af2e8266d827bec6879dbaf8103321719e12eb58cabbf17","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (4, 7, -6, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:71c515b63a0e5a3c0da6f0a57f1943a8034cd83025d988fdaac1357302c41702"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:ad7de562213bbf3995e2f32e743849f5edba15db7050fe1ea70b58cb793880ea","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -23}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 4, -6, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:27b4ebf6a264395cdb5633fc679935834ad0427755913ba555a02bafd7d4c90c","rejected":{"artifact_digest":"sha256:661054030b44716150f6886dbcf09c39a631b63045288dafefc83d62c081d5c6","candidate_id":"sha256:eef66dfec70c0d28753b2e12a812a346a5a28ef4e0a7593d3805881a9e7bcb9e","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-8, 7, -6, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:f15d45b0e608c2610ec54fcd4f3b11470c0297df88d6be5be0639e6a00d4b201"},"sample_id":"sha256:b37cc5480f07ff55fdf1e415ad424e37957c54654787bc12ddb264518a2481c4","source_transition_ids":["sha256:fe31afe8229d8d22a21eb679d75be861c8a98be99cdbb36a234c910c1d892933","sha256:86a8316a0691596c3c01eec0dcbee849f5a4307076a1165c73aa970f1890b853"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000240","trajectory_id":"vlr-formal-v2-0000240-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b3139f79ebae463b617cb48b332913f62038842591b9e54e83e7bcaf463abc9b","candidate_id":"sha256:353abed0a48cde7e5036b5611211f4279f29825f310474ab228632a77f21b0ca","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-2, 0, 7, 0, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:14adff1379c645c2bd9370526777e183682a60a804a12006d1dd9a5a87714fd1"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:281af651d4f69c54a69803561669f8089d7cb1f95fea087f06009ee85a842f84","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 0, 7, 3, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cee1aa19692ebeca6db0aa0377d6fa8b46d97362fc1807ebddcb352b0b3af1d1","rejected":{"artifact_digest":"sha256:13ff9a3e1911688ac0660d38117c3e4cd86e85e181efbab85e9a89a896fc1073","candidate_id":"sha256:a642fad9a41286cb572f926474233830e157871ed8a975794f155a49a29380c5","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-2, 0, -6, 3, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:630dd11bc1cd32646971520098b6ac7925843710f76711f14376e88939766d31"},"sample_id":"sha256:a2449fcda40bd2ed2d17e7627dc3d97087d8e914504349bbd260203d35080a5c","source_transition_ids":["sha256:88d0c1168c885c84281f2f29e7bf712a6834a249d94ce14cc668f8bd47985d07","sha256:9c82b823bf6dc4d8222887215ee582ec8831beb4374f00468027bcd5701102b9"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000242","trajectory_id":"vlr-formal-v2-0000242-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:323be372244120f7491c67ab08659b5f124e92e5e7ae99e9eebf50da763f127b","candidate_id":"sha256:ae5e8500a4a025733a7fd2c61792f22f055641ea934d29714f109327cebf36f7","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-2, 0, 7, 0, 0)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:6d2af72431f50c2a423b37004d8046753589b281e8a29faa8a4c8582148d9bfe"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:353abed0a48cde7e5036b5611211f4279f29825f310474ab228632a77f21b0ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 0, 7, 0, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:99ba810e4bf58063b8fa1b29aae577c3e107b503886abfaf5caea71d8995013b","rejected":{"artifact_digest":"sha256:37fccf7664681dc6b592e7a7c4ff60935b8ec1cd4d563b79c3d634b0b28131f8","candidate_id":"sha256:2089807ecabb5e970d00c95d6063b91d1b9cd1602138b14aa28c226195f99684","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-2, 0, 7, 0, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:da0064c6c90e1ef42c68fd6e568f8c668299c2078fbce0fffcc859ca0eec2212"},"sample_id":"sha256:1e536b8ab072bde8a8892c51aa0a97f9e3b7b78edeb42cfc700d4030027ec57d","source_transition_ids":["sha256:043831bd9c24e6969e7ddab3c69ed1b449ccf252b125ab2a84406918fedad788","sha256:e077d324a5fb98f991352213d1460d48f6970be9b6da58d3eab3246142bae4dc"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000242","trajectory_id":"vlr-formal-v2-0000242-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:100d06fc1ca1a3e739081604b3ed158b551bb60208c3595b2612b4ecc60ea5a2","candidate_id":"sha256:564383003ad6f1e800617fde1f84430aaeb64075c487f69c3e10f031955910e2","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 7, 2, 9, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e18ba97622b4c66bd098233580b8a81718214bbb5534809ca05e82a3c9af8e90"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:c8d6aad0242a0bb97ce6a139864569e95641aeb948f1561bb875089fea7f5903","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:c7a36d2b0ba68427421b0a6ac913c44f409484277e07849653b2b09ddd853dd6","candidate_id":"sha256:01ac2098da4f56c17dbccc29fce23f442b409f096ac75e20ceac375a7661a92c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 7, 2, 5, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7803887c9ca1c21a4731975166362960496984ff868efe2a1bd0050d41962356"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:4fbac8ae7156c9b6a6160694b12b0b853ac433ceb8fc135929d89f0046517f66","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 2, 9, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5d2fc02d900c99286e884ee0ebbe9aa292e3fe5590cf4d03c769b3516c42278d","rejected":{"artifact_digest":"sha256:c28d4490bce1b08c67a0f2c70878a4052df08a056266c9f0deaaf1e0628375f2","candidate_id":"sha256:d33751f853b275afc2cb4c3c83b959ab53728cba36fc33b63fa23a234c019e15","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (8, 7, 2, 7, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c978a7149b98158a80f149f73ab57383a994a45091e1ab827a1d7383280d5a88"},"sample_id":"sha256:770b896d52159dca737814927eb313d027b817182573dd2c83c01eee64bd2ff6","source_transition_ids":["sha256:eace3ee521711ee9debd9fa9f06545f1a3153317bd84125eb84e6c7b028d84c2","sha256:e9de19a3ad4bbbd4a526527865a4353fc6229ba18df376b018dc0353c37b3cea"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000243","trajectory_id":"vlr-formal-v2-0000243-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c796777b4bdb414648dc11f478c5f3ca93faec1fe77a6f3d1e762ff55f1ca2da","candidate_id":"sha256:7b987e9c057bca12194ba67ca747cae45725bc8332f460005f4e2608c31e4253","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 2, 2, 5, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f86c92662c2f61c76be017e385a225cfb37aeeed0079148eb848ac83e68ed90a"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:01ac2098da4f56c17dbccc29fce23f442b409f096ac75e20ceac375a7661a92c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 2, 5, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bf341104eb9db1d432a242536acb076e822a3fb1f18f16d2ef7077baf036842e","rejected":{"artifact_digest":"sha256:c5992f5a98ce930ddc3286545da2bd9dd07b2574e10a638f2327c25d89a44a58","candidate_id":"sha256:10b682e155e56ada500e878788af18b5433bc1061904c7ef7a393fd609d587ea","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (8, 3, 2, 5, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e549e31e3f794a6c6e44aadf11b1dd44d5182b68fad3a3ee8253fd8eaff2dd5a"},"sample_id":"sha256:1d41ab11b4a48b6669deabf27551521e4d1897f410fd2e3e7270794b74373270","source_transition_ids":["sha256:6189933d9b3213c0151d6b3d3a5240448e01fd6460c3fabf1ebec4850029a529","sha256:2615a53e52ff8dcf8106e2c78fbcf6c8ee04854a6ae5d1b98400abc42c3da27f"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000243","trajectory_id":"vlr-formal-v2-0000243-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:82266dc85fda8ce7c3d241d942dfba9b23a06508e314f695ba0aefe268ad696f","candidate_id":"sha256:2860a7a1ca632663f41dc0c7bb52954d4981e7dde1787b4a398b8ab6869a7a3e","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (8, 12, 1, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f88ba3550dbd419809992a0b7919a40ca6bafb30d26141863bcec6bfd0b25489"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:ef2a32e646f4ad27a556f5a85bd2eca6d559f0054ad49eca456d2733c3cdcbe3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 11}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 12, 1, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dbfff0a2db12d7a97a4fdcdaa2b20c298851402f361f0b7239b4f243ac9644b1","rejected":{"artifact_digest":"sha256:a28ca829ba0074f4a9e4b35981d1002687e1fb1f9a629aae042066ddf456f88f","candidate_id":"sha256:995e0e2f0f68bcf8176652f4e14e01280b8580fc50de4c099e1dfaa230a7b68a","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (8, 12, 1, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2d0fa3b441316d1fc8c1b51d3108793e76df7cce2fc321b349917a2038f1b8b8"},"sample_id":"sha256:0af552587d61de05ae9700927437c73bf7eb9b315a1954aab599737d0653af6d","source_transition_ids":["sha256:8105c8199eb776c86ee10f808e684968d52fc962084bed37c4b9ffd2a159a537","sha256:9623f5077939bd1c8681f817d99e50ccbc0e26b0b18b3516dde9f9aa7c04ab9d"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000244","trajectory_id":"vlr-formal-v2-0000244-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:38b63d1afe7dd9e962e857dfdb2263da8900a9f7c71a699a073c11ab0e3fb78a","candidate_id":"sha256:7e0b12b10b9dfc589deb3a3da68e0cc91547e674d77c4c0dcec0670080383cc0","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (8, 12, 12, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e14197bdd62ab1e987d70db35e8479efd20fe128fe704fbe349b43a794be75a8"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:2860a7a1ca632663f41dc0c7bb52954d4981e7dde1787b4a398b8ab6869a7a3e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 11}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 12, 1, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dae65309273755e93df2419b06fa8df91d0be4e0ff63e22351b7197931bfbfe9","rejected":{"artifact_digest":"sha256:60f274ddff09a5e6474a3ebaeff8bad081dee80b16b84b20919b711a23c357dd","candidate_id":"sha256:9acfdf70b74187a1844ee0e58f6a0175919c5aa5379366f82cc1c2bfbb4f4c44","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (8, 12, 1, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1a1e079b60b5c69db914bb0986251fe1a327387589f472a576f80aa48b273d64"},"sample_id":"sha256:a85e57f5f79bbd10c965d35d3ace91821c0dec4308ee102aed163e5add1c638a","source_transition_ids":["sha256:9231097daa80474f6e0ace56864e11b9e2c6075aadc17524d835080751514608","sha256:468949bb45e2e4b74db9af52fe310979347c386bea609e98589cbaf71aba4169"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000244","trajectory_id":"vlr-formal-v2-0000244-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8b4ccb25407efa011965875ecfe4de2866ae4b4d5fcd39eb365c73ec7c7f0bcc","candidate_id":"sha256:4b400d8a8afc67d41410a9498d0282273f6eeac734d3d891484511a979572537","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 12, 12, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0719d7e2d08b70a5a52581343f37bb9f7c91dde736c44c36eff3f2ffad11e2e3"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:7e0b12b10b9dfc589deb3a3da68e0cc91547e674d77c4c0dcec0670080383cc0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 11}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 12, 12, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3f3da9ef7e5589a5a8296a5ecd9afaad29dedec93d8b4df56c1651547615b0b9","rejected":{"artifact_digest":"sha256:e8d946b4f7bb43d82b3bc7c11a23b0df15f67d1ae823001827097e099c065810","candidate_id":"sha256:0c13bbe541043292119ab3b7e68718f9aa1ee72c99dedb8b1574138edd61ed1e","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (12, 10, 6, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ed8ecc7b881a053d69422d913561d80a03ac51783019702f1fb0e2b7bae6bc67"},"sample_id":"sha256:f628aa35853146811b81da08ff46294a2c48e7e6c4ef8a84ac663d4fd7a46eca","source_transition_ids":["sha256:8f2940255feb282f4756774952b0971e121f6d648fa1f0b7c3e7d46015834179","sha256:91d76f039e88ef56e42b8a58c643cb88d4ff5ff2f52236b10301150b72e59d54"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000244","trajectory_id":"vlr-formal-v2-0000244-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c41a69c1f53b69d3c40c524c2e88148a85348dea13b2e3d4541d014d920f959a","candidate_id":"sha256:1d526ee4bdf9a2babf5dc338b777849f53c2945a76ae3ec1710104fcd4b99f6c","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 10, 12, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e752c94c1c721aa172199bdb8507f8f723ce0dcc1e2af74d0d9a85a8c4177f10"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:4b400d8a8afc67d41410a9498d0282273f6eeac734d3d891484511a979572537","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 11}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 12, 12, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1ef8845c267e62ad81e9264469338af96e036598e98d6e33dd964b2fb4a948cf","rejected":{"artifact_digest":"sha256:c02a3c654be246360674097fd149ce7148b6fa6755c242d5905a68e6dc12b83b","candidate_id":"sha256:f490f507c13d967381f9d797f62eb3b8fd741530445fd26643268989e599e94a","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (12, 1, 12, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1ad7e57c49990f64d846922a912efa4c1f55da182c8492e9e8e6b06988b5a1fb"},"sample_id":"sha256:8e0c5ba22fe14d9884d241ee5756e4c4fac7b0c2815b4ac7b04e47f888aba70f","source_transition_ids":["sha256:b8ec942750c56a6749a0fa005be97c771d1b5b10f8cde0864890294316ccd413","sha256:f520df214ed67d8e4b1a26ec2a984ff1c2b6648f605378d6978cb540a82ad3ad"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000244","trajectory_id":"vlr-formal-v2-0000244-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:30cdcf97c3fc071a443e83ef1df3e31ea11a79da4a3dc6a8c08a5307677425b5","candidate_id":"sha256:34c7317e72388583b6f4aa7b8c4d5e8aa795f214a216e731e33320337fb6fb82","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 4, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:76cd3d7f7d6ae441f4d760c3dfebdb98caefabdf86fce2d34335e7886f63449e"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:09c0e0c042b4d5d6148bcb72acd149d3f105d153110c80dc2d581f25395ddecf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 1, 4, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4ad0c0ed5d0b9102ef93321a54561ab2e081d4bf5fe69f1b72c209482d2e8c21","rejected":{"artifact_digest":"sha256:158086b00859cf27c11eb99a34fb84347e7936851f20b29db4b35a8baff6b4ff","candidate_id":"sha256:c2295118d867c8d2eb00f88b336ecce1233261d1c36c80f6be3a929dcfb1378e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 6, 4, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:fce105574c80acfd66a8bc2ff27fdb00e0c5c33e282e64a3cad5cdca024bf870"},"sample_id":"sha256:aeae88b0c7d499b34fa6e36836d0e6daca71c92dcaa9754cba9004e056429f48","source_transition_ids":["sha256:30c095e72c3e5ed686a3ee9667f46127e83b2713e8cde0c5e37f803bbd009626","sha256:a64397ca9afcbb3831c1dbc0e3a58f1a703204c4b90a0245ee0218844b52b681"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000245","trajectory_id":"vlr-formal-v2-0000245-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2ba9c80988f9dc447bc5d08800ff54ac244f077b18ed42c9116c59baee8b0d55","candidate_id":"sha256:0ed805932c94230b00093162f7497a90d1753efed525456b21d8286261ae970b","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a47fe820b061c0e79f1ff9f959eb33e4517880e8ed8b15a279a7f29759b583bb"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:34c7317e72388583b6f4aa7b8c4d5e8aa795f214a216e731e33320337fb6fb82","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 4, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:466f20b8972a78c2ba3b1f83f17ed877748c363dddfc9902df2c7244cd3e5c98","rejected":{"artifact_digest":"sha256:12d6c276520144655c1e2b80944f509633a3bec40e2fe4136fa0685ad1408a80","candidate_id":"sha256:df2782a51ae8c70bbb17e5e33f5fb93d6c941eae23d516edcc8e0b1528d4658a","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 6, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c1148dabe7fb528ab5beb2e57cd41d0d8ea055115666406d3f80dfa00587b432"},"sample_id":"sha256:8af896f248762dd9dff5291422a2412d35497022fe91015ee464d0e5e0cf4edd","source_transition_ids":["sha256:33fc7b26fc64c3dea2868dc5a133c6d96157c38f1edfca87242c69c667843dec","sha256:ca58e0f2a37dd03ff282a8355d10fdfd47913bccaf24b53b1f4e668792d2a835"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000245","trajectory_id":"vlr-formal-v2-0000245-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:287dcf24b2836d0cb13debb553582b179d68464252912e1de8884bbe1cb31152","candidate_id":"sha256:79240aac10bf59c2e92c2d55fb0e0fb8ada462cc114c768e349ce4f8c9620039","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 3, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e7da0663351f49a794a2fcc230f10e7ba4aaa47e3268a5afd5c0ed8357fea12f"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:0ed805932c94230b00093162f7497a90d1753efed525456b21d8286261ae970b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 6, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7b8ba6e2a59ea7aef04b2d439a27ec28cc17649269d4938621d265b2e00ddcf3","rejected":{"artifact_digest":"sha256:1c5831341b33ee7b9728c42db52843014ce63e2a5bf7d0739979b47740c9d402","candidate_id":"sha256:23a1aefbdb677e00ebd7ba90fe9635bed927c384f484b9710dbaa0bffeb557ec","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (3, 3, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f6a7f8d463a962831a7eb6c6dca8a5650973d4c19ae67e7c85a9a50ae706ea02"},"sample_id":"sha256:eb301b8d52b399075ec1e86e9f66c83aaf30e019d40835630e8a1f01b361294e","source_transition_ids":["sha256:ec153fcb06c46dc33feef03d28e85f826690ae203f4ccdb874d31a8651f9e3df","sha256:95f50e37e9427ff53c92487c6f66ee97ff86cf6876cc03475573c30ee8108791"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000245","trajectory_id":"vlr-formal-v2-0000245-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2064109b39a17abdfdef629dff7e2272c6ca00fd1c968677200389e636578365","candidate_id":"sha256:eb210761111bfeb6a50546b68a7306193534102d65c8e3cd6e898001ac7ed317","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 3, 6, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c21c4df53a1539480fa75f20d5476154be5ebf45d972a88f6b9b0ece617e5fa0"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:79240aac10bf59c2e92c2d55fb0e0fb8ada462cc114c768e349ce4f8c9620039","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 6, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:719c01a0d1ca8d08376a97072fb8abbfc9222160e811f03c8b4f77ef2141927c","rejected":{"artifact_digest":"sha256:1c5831341b33ee7b9728c42db52843014ce63e2a5bf7d0739979b47740c9d402","candidate_id":"sha256:23a1aefbdb677e00ebd7ba90fe9635bed927c384f484b9710dbaa0bffeb557ec","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (3, 3, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f6a7f8d463a962831a7eb6c6dca8a5650973d4c19ae67e7c85a9a50ae706ea02"},"sample_id":"sha256:0c371b7ce5a91026b6a3cfe8a6c7d8e89ebbd6246677d451900d71812be6a454","source_transition_ids":["sha256:5b31b1c900f227db798062e04a2a0d1b089281b8d548a5e2eef3cfa3263155b6","sha256:278a8a8926df8fd0eeae79e898cf627f7da805c46335c24ac4049e2941ee0990"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000245","trajectory_id":"vlr-formal-v2-0000245-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e23732a3d902f05ace3e005997ca814a72c803287f2ea314b785fabc50dbf6c8","candidate_id":"sha256:f6a996a4c48c55bf4da9a71de6b8fec4eacc1fdd414bdff198e154185e2de2cc","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 3, -5, -4, 2, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:be01a3919a37bea19df022ff8a9a487be9ec429110de304ed5846902ba988913"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:da77e644229514174b22890716a2f9a76ace27498142f6e75d16148f03680223","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 3, 2, -4, 2, -8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e14aed083f2094b44cd1f6db36f9d5085f1c86d47889b6392d885e2a48330e48","rejected":{"artifact_digest":"sha256:d270fe20cc143ec28596b6171bcb57486ea003aa5c451d6db4f73936845a4f97","candidate_id":"sha256:aaa80204e5c114056fc3316bbeedf3c6cc39669542101f646bc8aac91de1a343","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-3, 3, 8, -4, 2, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a32fc3872694a31c05f0229766fcef846250331b5a94e0d2c0e7554aa53a94cf"},"sample_id":"sha256:4a4ea646d97a26d00294f693da27412a9544c8a1388c76ca12036a974bae98f8","source_transition_ids":["sha256:dbab358c03c34d8833532b11101b82d41e0dedcd0fc9568a2e5245353fd390a1","sha256:f1e7c2cf1bad30804d11907bb43d6398dbfbe1a1185dfa060fa28e2873d3e04c"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000246","trajectory_id":"vlr-formal-v2-0000246-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d92bdd13bfc002a4d8d7f7927234d53b8b492fc038eae15aaff0f0b250c2e8f8","candidate_id":"sha256:005f055f22d545c8366d6e8b00c0b1232ec4986921cd2316c871edac4556dc8b","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 3, -5, -4, 2, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c0c694718401c64b911ae6deca9d1ddb7ac0e6f67c20e810bca4c04bfd0a3ca5"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:f6a996a4c48c55bf4da9a71de6b8fec4eacc1fdd414bdff198e154185e2de2cc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 3, -5, -4, 2, -8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:36d0f6e0c2d06d5e997fd3cb81656fa4707c305ff3a94f1d00699ca9c509a41d","rejected":{"artifact_digest":"sha256:52640143ef1ec1048351ed78ebde04170980bdebb65a3c1dbad8e20b7ccdc6a9","candidate_id":"sha256:7634673ed3be140275359f4ed6ed504783319852c64b341b265f30d4229204ca","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (0, 3, -5, -4, 2, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3bdadebe6c67fe7d2c2943029bc3f3f1df9a3ce8e08f492697b3d2099ec4c6ff"},"sample_id":"sha256:56748a20d1e92b2ad7fd9ebd934bb051dd79f54350a8c7dffb413c20b23a742a","source_transition_ids":["sha256:cc96e3623a83803636153f18a40d4664a85c7e8682adf8e08aedc111af450cc7","sha256:45c295374d5cb71e9908f850288d5c89522724e0bb240c434b9c9959b76d194e"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000246","trajectory_id":"vlr-formal-v2-0000246-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c35c7a92d261d17eafb4ff76e5e670fc739472eca256cbbf2b6ebfeaa9874ff9","candidate_id":"sha256:fd3cd4f1fc7b7584061ba3b7b9a757ce4840a9d8f236c0ad286ca37564f63509","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 2, 2, -4, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4c9b4357512d6cdc290aed2f04a36c050e47f910e30573f5cae63637e031c906"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:158c2372323bad25220753f9b32371d4d2de9cf8617a0b1a100b96e2b5b947e0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 4}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, 2, 2, -4, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:edc00e18c0ad4bad7566b53371363ae6ef0c0aa1324d3ea370ab4c6dc67dccfa","rejected":{"artifact_digest":"sha256:dd6835205873b7aa916f2e39ab59851e0a3c43775a8d4ca729b0f860d7619a15","candidate_id":"sha256:d60c1f727e7cdb99344c6fa46403cf740914430b31bee41b525f20fed201d98e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-3, 2, 2, -4, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ab15fed74741184b96de4022412dbb449df77c37aef4caa571783fa44d37fd34"},"sample_id":"sha256:97b87beb32a6859958653133a3d557d8e2645245d580617ba35c090838f94a27","source_transition_ids":["sha256:8ce81c0522624512541ec7e0a3d5ae708029c5c46e7f62fb43e369be699761b2","sha256:1fb168404809c618778af796ed88efa6930a43ffdf0f3c402d1b2d63ffda7c71"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000247","trajectory_id":"vlr-formal-v2-0000247-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9b5de070fff12f427be594ae4ae075982d706c8931ace482516dfcff935bca09","candidate_id":"sha256:afa122dcd909a8e5aedc05fc553543d809f9f749626878eda386652d31c18f67","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 2, -7, -4, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8fe6446f5d75fdf6ada0059785413497eaa686737c06fd6e3016cbefc54f564c"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:fd3cd4f1fc7b7584061ba3b7b9a757ce4840a9d8f236c0ad286ca37564f63509","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 4}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 2, 2, -4, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3335ffaebaf9b2cf1157e75a3c5a6f3cbca9f07c77872b3f3d5a004a18613174","rejected":{"artifact_digest":"sha256:45ba2ccc29c10c396ac941baa48f7537055af9e450759023c91555548618b7d7","candidate_id":"sha256:0bffbe5dadb2f252420520ffa07845a57713521b04daeb6e3b8c70a0fa0de5e3","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-6, -5, -7, -4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2e633020ee09c15972bfa7aa45d21601296bfa8d59d4f6d01db8a8899f96bc43"},"sample_id":"sha256:83dd8e8bc3a3ff0ea1c05cf734bd27d3534313e955228d44e2021b534741468d","source_transition_ids":["sha256:fd442e3ce8433eebb45dd081369e788796e7c4ad10fcbe87e36a04438a6399c1","sha256:b33920a1804172fbfde8af69ba0fcda772e4d4df60a4020e39f8f2434c2a4200"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000247","trajectory_id":"vlr-formal-v2-0000247-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e74f67609c4653b29e4a0cb0255bd309ab4a0a54ec21937890b3f5a994d90fec","candidate_id":"sha256:088ecc7a6793dd3120dc05fa11cb8a1803810bd71cddb565d59bd399fc707dc8","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 2, -7, -4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c2b65ea88df94115d428dd0ee3c825d2f78cfd9bd66a7c14831a3b7baabf7539"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:afa122dcd909a8e5aedc05fc553543d809f9f749626878eda386652d31c18f67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 4}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 2, -7, -4, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:537501043afaaec2d576ac9b40573891adb5de7cd9a3f995452e8e0f758a08bd","rejected":{"artifact_digest":"sha256:b09355948b5af39742ab4302ade1ba11d85768a95c73c9096ee5edcbb5fea2a7","candidate_id":"sha256:212b2faea084a882b3368444bda1f83bc2d5197dca73503ec43de36a298a62fd","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-6, 2, -7, -4, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2832ef3d1ddc072a7a764d955573d7002fb0c7b0d0e74cc852cb9863fb4bfe18"},"sample_id":"sha256:af54be42534768d1f89f361618ba02d73e95f6e5daadc6f168f0adb6443e6dd4","source_transition_ids":["sha256:ca79ca990badb08864174b7e12ebc22cfc2e1784c803a39b695de1cdef05e0e7","sha256:f80da4c91010272773591ed539c8e25b73c867ee7926c67b1df598eb9306b88a"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000247","trajectory_id":"vlr-formal-v2-0000247-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8519da90227630d2184bb077de6db3289c5ca96d3cdf01f5d51a2796669d3c27","candidate_id":"sha256:b6fb42e853817c828820bd9e2e092aaf4cdcbe91c2c129cbdd1e0dd6fc55f389","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (-5)\n    return x + (-1)\n","verification_digest":"sha256:4440b2881deac78f5c764f2d1aafefadc982a92e2d6a58b673b7d2981d6b301f"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:5711ef1f3ab97f78ee1842364696113b82fa45ffe8b457d6b60ed92d9392f4c2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (-5)\n    return x + (8)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b3893655a1b59e32e69d70e47e887b06a7b8f4bc5bfb9104cd62a3581c557726","rejected":{"artifact_digest":"sha256:83370f5aa88b58a03c220ab2839233f510e27a47e91d877697185637e86de883","candidate_id":"sha256:6b3243476c76b0d2608f45acc49332df9cf0b974429a9ea81652aaf462785c18","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (-5)\n    return x + (1)\n","verification_digest":"sha256:22b93085b240222e3a9662e4d663073d7b5b15a28076ff51c191baaa69f816d5"},"sample_id":"sha256:6e01dd12935819946273028fd80abd3711c8851860cb4600c6509a0aec94a06b","source_transition_ids":["sha256:480160a03f72e96c8f18b346adbec2e80fecc6cda12c1e7721a3eba29c09a7c0","sha256:ff5136dfb3fc72c229a5552eb2801a5df296e1d21b9f074d3bd4d575b3cebb19"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000250","trajectory_id":"vlr-formal-v2-0000250-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9978bdabadc2403b7982f09fb802e434454448da7492953cba5185354f2d37ed","candidate_id":"sha256:e9218d3d89245a715cf2017535528645dc81a11c5f8ae8eb6f35af5e5b83b112","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (9)\n    return x + (-1)\n","verification_digest":"sha256:df1527a057f54c14da9ce9fd0f42a5073d6c22bd89dae06d97a7cdf872c60e2f"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:b6fb42e853817c828820bd9e2e092aaf4cdcbe91c2c129cbdd1e0dd6fc55f389","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (-5)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eb30a3ae23214307d30f39dcf502211e75d1767a8786eca4fb38f3ebb858e740","rejected":{"artifact_digest":"sha256:b4ae6c3cf81fa102ce5fa98b88a888e41c34c789aeedb7a3d46a90aef83a936a","candidate_id":"sha256:2d798792bc000c4915280e7f3474b404245efd0b04e0237ed4939f7a3d390ef2","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (9)\n    return x + (3)\n","verification_digest":"sha256:904549db6cdf0ef38264599ac1aec68e2f876fc98daa1902a9887f6702b5cb7c"},"sample_id":"sha256:209a13cf6d70296e373c8ca8d4c2941a3c2038144aa3c83825a1a5ee4adf5703","source_transition_ids":["sha256:e5ec3737ebb6933a380e8d1c471f557fc697fb20d8feac5c395e1b58e07d347d","sha256:13cf925720d3a9a0c4bbe531df2b04be829220a97fd3a353bbf47237374939d1"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000250","trajectory_id":"vlr-formal-v2-0000250-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7900bb9a0f523ed75656ce312e7824ebf69cd704a1559d8841a5de66cfa9a71c","candidate_id":"sha256:52e138c61788cf4feef4ec3f6136937081636bf77cd2f52987a2aa4ea04b3942","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (9)\n    return x + (-1)\n","verification_digest":"sha256:2ca74ff02af622c88f7beee026420f466a49bddb180dad3067c7fbf3bb9471e0"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:e9218d3d89245a715cf2017535528645dc81a11c5f8ae8eb6f35af5e5b83b112","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (9)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b6ff6df8822b0d0f4bcf0e1eba091b6bc3edbe75ef36527edd7dd586cfef3eaf","rejected":{"artifact_digest":"sha256:a4126587058c4fad78c36911d9dcbdd9b01f48fdd1b8ea546864b87dbc96666d","candidate_id":"sha256:3d96a84d6353b805d3620a5d2ae4a2f0dec55817b2e088df5b61ea6f407a8550","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (4)\n    if x < 6: return x + (9)\n    return x + (-9)\n","verification_digest":"sha256:a50de1e46136386a6a933de7f2edb08fc35243a05c4fc7d695a90bf197f72be5"},"sample_id":"sha256:913eb62d657b493e908ea83d651b9b6325153a9fcbbc4e0afc946d7cbf4c84bf","source_transition_ids":["sha256:b29b451c13145e1f2514a108740e60fb5bf507db3baf5a9a8c4f5971133e184b","sha256:31c3c8517a7068ca2e0932d273b72f0220452977a011762446c1c2510d60d2e7"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000250","trajectory_id":"vlr-formal-v2-0000250-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:309beca606a31851a70a04045ff575fc30a6317ae66909250f5ff7dff5a736c2","candidate_id":"sha256:7ed04114bacdbb4565a625b7e0b7f5020bbdd3a56f0db9bc043f23201dd8ce79","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (4)\n    if x < 6: return x + (9)\n    return x + (-1)\n","verification_digest":"sha256:32016c7720d7c4099219e070be66bbdb1ce8da6f1267898a80fbe5a310cb04f6"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:52e138c61788cf4feef4ec3f6136937081636bf77cd2f52987a2aa4ea04b3942","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (9)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:43f110ff88b098527f421f3d2ce163c364736bdf2ba16d07e4478889a567dc31","rejected":{"artifact_digest":"sha256:23dac8700756cf837812a7d988af289c3a143cdcdd575c87bdcdaa53a26bbf15","candidate_id":"sha256:d11f918e860c82727bbbe6e43ab800c192d0ddb9031a5e6883cff86d75f58ea3","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (-8)\n    return x + (-1)\n","verification_digest":"sha256:9496320767a1d70e86ee69eaeccf488a7fef744625e20d85eb03a9e4d651460d"},"sample_id":"sha256:f409689c73d6a63bc82e36f31515abffcdfa19c0efbd2cca34b382dd72b498d6","source_transition_ids":["sha256:0493451c15d0435c7e7b2f7894617d2275d94080e033887395cba9cd187eb427","sha256:01f6ee20c3edfbe5cff1e30047d431d6daaad3ad5d176b75750bc9a458f372dd"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000250","trajectory_id":"vlr-formal-v2-0000250-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fa5e6b9952e8eaea8474c085ad168c1b98d1304bf337058958277a1691727c93","candidate_id":"sha256:8af080fdddc29d13baa46ca819c20307f0cb1fb8cbe4924992bceb2a4c3ba8ce","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, -5, -6, 8, 1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e3bfdbadfb791047fd4158b6247ab6e4665e85aa8e3014df1a821c49004d70da"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:9c5c8917b9bc2b7e7040fac40270ff104fd7302f3ec4db6d72ad9738eb032f75","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:316a23404d1a3d611ccad19be537b482174ac2b5fdb7fd0a4a948e78b6749ae6","candidate_id":"sha256:611690d4946d928c278976345fe022a328cd16d30f05a542b83ca073e8d33855","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-7, 5, 0, 2, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:df8a2d2fb8ad69135c436ed5776f3b090952574b0438fdda0c2d9bba03a00bfd"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:2b2d6aa05306f816949ad449ca6cdbc034e28c99d68797411d33777a88c3bb95","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, 5, 0, 2, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:16066d3b4c0ad75be92b8e184fa44fde95ec9627080d5bf5e9aae0325f6c9fcd","rejected":{"artifact_digest":"sha256:2eed0ba1b5c7e27c507d833a14b27422160d619c4c595946d6401ffc4acb3b14","candidate_id":"sha256:2f78942379e82fab48cbb849abcd23f10e83049f2430ea76001cba989b070bdf","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-7, 5, 0, 6, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a1568491a9798b14f819f814afb1b1a044adbe303c8cbeda69f8e34ffc36d8d2"},"sample_id":"sha256:de6b84cff40d7b2da9edccaa5ff5c31ccb7936321eae08ca7d7d67a0f851bb48","source_transition_ids":["sha256:1d545370a692733f75e3a21db4cf5d68e787d026a864137e7dc8ddbdfd966de4","sha256:7fa95d203aacfe3e6a389b81f5f8ae93c99fe5bb791129837526cb7277270e05"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000252","trajectory_id":"vlr-formal-v2-0000252-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:aa1e87306ef8c24dc71e2a738802eb10d5c568c38219cf5ce34914e29a255c10","candidate_id":"sha256:e33bcfffa38c119ddd6062077f3ba619dd7dbdec41fb37edcb93e97830590f3c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 1, 5, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:28dad2482c11cdca5d77669310254ea6c5fef07d145756f20d17690a574697fe"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:fbe088cf732e0dd8849d3b5b37b70bc2662410c0c5808f81813159db5611d442","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 18}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 1, 5, 7, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:539894fd65ab2e1d40d61fd4fb8cc5b062db4e16f51ab3243b99efdcd3a7b899","rejected":{"artifact_digest":"sha256:78b40cf49d36fec8ff045e8960d271bea1e0a9d4fa6b1dd33ce69cf5aafb7482","candidate_id":"sha256:2a3b6cbc215369234b52e8a2469785f1f21d9cb6a4206da768d7a3d47731199f","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":6,"phi_candidate":2,"phi_gain":4,"phi_incumbent":6,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (9, 1, 9, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:08a031c99ce8d9770fcae867faabbcff058a51227c325e9ea2c6b06895e8a2c8"},"sample_id":"sha256:f17bc7ae90e0b7bf4146499c968bd4d38c54d4620387572437d3d4a64b9f5446","source_transition_ids":["sha256:978780075c7236839a445ebe32c89de81bf186636ecf07174bca15073c6cf9ab","sha256:ecce6ac43c4696023766a5f98ff0e9ab9d1f94c979977a04635a3e7a3af80270"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000253","trajectory_id":"vlr-formal-v2-0000253-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e7902434771b5ac32994941146a9506ddea3c48b568d9151b0414047ccbbc8ac","candidate_id":"sha256:9487bc036bb61e626b7ad389c4d9d7dda148d32345c9282abb4d6f7bd8d9814e","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 1, 9, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:ee28ce3f36309b1687046b0eda500f5ea77e735712de5f17793d5fd5093df4fb"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:e33bcfffa38c119ddd6062077f3ba619dd7dbdec41fb37edcb93e97830590f3c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 18}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 1, 5, 6, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:20be83c08fdf143bb3d4d85e6a1c50f24a2fb359df099376e0cbfd1d34850d4d","rejected":{"artifact_digest":"sha256:67b2d333db02b914202e113d3a7979bc5175ab822c033b8edf3f5e8797ab9ab4","candidate_id":"sha256:e899bdc1b1c4f6b0611707dd9bbdcd8ae4b33d23b2981e95fe85ba10847cc5b2","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (3, 9, 9, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:008e388a3684b001e08e6a816f45e60c8db8b07d869ad2ef318a28e027591671"},"sample_id":"sha256:00ab98133baae68789ef1571bd7ddbf565c53d64f7b2e5644c7e20c4331ff3af","source_transition_ids":["sha256:8711e29ea28955cbe6d07104eb41d23cc8d7812870b84db2999a9058a11a9ac9","sha256:510f05d4d1f5bc66bffff2e9c362d28a4dc8a5ab2492bfe288a84b9918f3e2ce"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000253","trajectory_id":"vlr-formal-v2-0000253-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5b72b01304d0adb6ae921d051b21c6b02ea99b7431d69507c0530c27cafa2d8b","candidate_id":"sha256:37acc3f79692d2ae53ee8785aba907a14ad60465d63717a4d5b3ef09247b23ee","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 13, 10, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a60ea6b5f06aa2328439f9ec604a1de3a68b1b58764d1b7adea47e10cb9a2aac"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:bc8e6c60bca272b28ff65351d548c20653c8eed89f8eca75b9087e5e60624826","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 12}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 13, 1, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e61be21cbe91056cf4d4ca57a53cab3560fc882bf4a9d7a4a7892565415a59c3","rejected":{"artifact_digest":"sha256:ecf4d1da3eee85bada7d44c9f456b28c37a94a33bff467f46035bfbefd5355f5","candidate_id":"sha256:307405a50ce87a9841f0aeb0b6eeb9acd0d195c176399b40a040d4ee9d9802a3","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (11, 14, 1, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b6f47bad2703892615fece516839e52a5e7499a8a5bdd9e8bc7f93b9647894c2"},"sample_id":"sha256:084019ed7d2cf969059ffc3fa5274dec4118bc48b8422509aeb4fc34ddeaca4a","source_transition_ids":["sha256:6bbae8b1fa318d8a4a1a0aea9506395a5ab2d68c72f6834db6e55945fc10e226","sha256:8da4fe7507831d0bea2a99884abc178b35174ede5b7e83f38a26fdfae6753701"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000254","trajectory_id":"vlr-formal-v2-0000254-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:34a382293cdd2b0ff5e421321b3ba3d0f40f4d8f16a20558c9319669526c25cc","candidate_id":"sha256:0475708f9a7f102d8e9a01f131d1a166c74f74416bacaa4ede8b9ad9e2002357","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 13, 10, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1b3939b8acc5219670687c9cc34b754bb55aab6ec43030455d4b14a70a10dd36"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:37acc3f79692d2ae53ee8785aba907a14ad60465d63717a4d5b3ef09247b23ee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 12}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 13, 10, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:382002b891b284f1a31e90afc4a3d26bce31bea5b9f07c721988629db31be47c","rejected":{"artifact_digest":"sha256:aa0990aae4e82a2fc6531c7de58da659980d94fdb0c8bbc65a2159c31300a9cb","candidate_id":"sha256:66b49bab015280a6c6b6394c9664ade2df82d157ce2c0b4e35faeee5eeffcc71","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (11, 13, 10, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b993fc0ea510678290820d91220abd68b96c86db667afc384986f3841c0087fb"},"sample_id":"sha256:5dec6e072066343a57aba089ad8be27b5229727fd8e94603700caee9cebf4745","source_transition_ids":["sha256:b6726a7b37be26325e40f74f8f05c970be3ff8bb6f3f8babc6492614912244d0","sha256:718e16a1b8f2ca8c33fd309d20add355178b33b8bb407774cc3fd11ae4d869f3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000254","trajectory_id":"vlr-formal-v2-0000254-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:07247170f31d41a8ea979db35e8645752ca09b6bbdec99f9457e52f6e349aeb3","candidate_id":"sha256:abf70a87e7aede6d3a4af755dc619d2829589fa25a6d846459bf5be57683bb83","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2cdb72500e0fc0905ddbe60046fcec07798513861e24078d5d8ffdda9baf8f26"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:272697ad93cb7c57db54f5dc1f97ff99d375e58091bb2d3299232a338f0d88e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 2, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0a4b545e54300b39658da88f47d8997f3c52c9f9952ade8b6410bbf4bfb3de25","rejected":{"artifact_digest":"sha256:fbe48402ce313fcc934db3286e1b0a8073da66e22f210bc59375c11cf36a8681","candidate_id":"sha256:3c6a374b987fdaf42c26c771aa3d3014adaaf44e16f8ba5b05655543d837221a","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (4, 2, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:9889f0d889b422b134d8630e33f482a63132333ef87831ed6637e62c890958c8"},"sample_id":"sha256:49fd00c998505e25d71038b9cd6e1877c50f18e25b816c221a873a07275e49a8","source_transition_ids":["sha256:badc785a8cd1f799c57109182fc6222199870730f02b403496259a2fc15e5258","sha256:dadde7aa313d82c21ac9c5dc800df658d5252483677503a88aca1fe80cc5ed54"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000255","trajectory_id":"vlr-formal-v2-0000255-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:117dfda87c27d11d869d434aeac640343123a196f3d61f63a6e9ccef207248c4","candidate_id":"sha256:63e4d24153fd2beba4ec81a8f643391be8321ce5c2c7f278fc4624a85f6dd69d","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ac354332f5e5f36e898e0dbf9024efc35f8c38767ce746e77c12311ece3bc790"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:abf70a87e7aede6d3a4af755dc619d2829589fa25a6d846459bf5be57683bb83","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 4, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1071172117214188d9a52b5f2a8f77f1281cd7941897367fe0b38e203cb0a3a2","rejected":{"artifact_digest":"sha256:e543996ddbd1b8cfd490cea33f73df5b570f2a3ff9d080fb103fb8ce0e575108","candidate_id":"sha256:c1ed8a9a6c36b56b867d516b4c5202e16cfaa58d98c056e24dcf803af31a4e65","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 2, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2e364d5f6098cbdcd620ca6bf6edc56677957e81d0f36f79f1be80dfd5356390"},"sample_id":"sha256:169a381205dd46d9f99753494824ee0bbb753c8b901beb88d8e09ca6e04c1120","source_transition_ids":["sha256:34c8c196c0efefea26a26d691c44e56b53658a86da309e60e82d01c382d88622","sha256:e35019f8e8e6dc087aa68110c1b22acb53a1114153b50497a899a9e2574e0aa1"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000255","trajectory_id":"vlr-formal-v2-0000255-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cc2adc01616168ddac6c0d270de5eb4dcc6e34257c22d6d32b69e2e277197812","candidate_id":"sha256:cdbd93f7fbc3f07be834b4807e8257fda824461c6f9fa139cb087bdf2e6a8f57","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a5508d4ffab47de3b706ae19b75e6a2edf8ea888437be9b535efd9b61c863b73"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:63e4d24153fd2beba4ec81a8f643391be8321ce5c2c7f278fc4624a85f6dd69d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:735d795031ec160e1406d5727eaae72720ec64513baa1b68409aa3b3a7e917f2","rejected":{"artifact_digest":"sha256:9d3953391e9469890d4fc42127dbdbde121a10ddd23cdaa5d171cb0a23b4d332","candidate_id":"sha256:f7f3dcecedced52a39210349cec696dd8fd81af04d1ea38ea1bf3947d5949383","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 2, 4, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:7a5a68322e8e1d03367e9b30314d553a127e5c4e38b45727898bbf43afb55d2f"},"sample_id":"sha256:158bdea78d4f208fcc13026c68ccffd3f802499036b9f1318eae918926348327","source_transition_ids":["sha256:4d477021dc0cfce2ea7d38bf5a543f102e2a78011d564c52dc752ade840d83f1","sha256:2f556c1724887cdfed7bc69e36f8d59179379b488306f3d86675f5923afa835b"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000255","trajectory_id":"vlr-formal-v2-0000255-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0bb5c530b39149b33cc3e07ad08023668a09ddf112eb63738b9ddd9abeecb235","candidate_id":"sha256:4c3f40c15a9a69a71e87eedcad583e4298b89b049d247cedb44742d3d6195edb","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c3dade0ed28be91040e6c007bc127b3ead0ffe927c7e94edd929ebffa2288047"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:cdbd93f7fbc3f07be834b4807e8257fda824461c6f9fa139cb087bdf2e6a8f57","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e6c98e1c2b8e3ef7b677e429ad9ffd06cefc83e70ecc2a78370a26e500164a4b","rejected":{"artifact_digest":"sha256:d7a525ceb25d21391672aeb6ac38dea145b47996fa6fe6023c07752c847c7e90","candidate_id":"sha256:bc0ab7fef4768eb3e8dfc0f271e063dcfdfbfd481866ac9db0957b4efda93214","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4a41fa8138977ae8c42811d4d9d055a8804d96c7fb3b3544861666e5b28cd5b1"},"sample_id":"sha256:35dac312e4eb5f9227e0ff9e188c88f151ccbc3c3cf0b1f820641061488079db","source_transition_ids":["sha256:76a74e2744d719013eefc62051622d1377e9837579902bd8a96e559d044fb201","sha256:add7695c5ca8cdf0ce695ebb7eacd10de9d459a0e222968f65621db972723727"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000255","trajectory_id":"vlr-formal-v2-0000255-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3b9c8e070ef9ab96363e7bd157c0a7a782faf001d9b47f3aa3db75d0a4bcf920","candidate_id":"sha256:0486cfa0715d1efa0ff7cf3ece180de242e951f3d0b7772efc7a5fc69f595a05","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-7, -8, 5, -4, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:38a38b33db40f58afb49ce190f76b01f18e3c6a7b5be0d88a3cf31214cde95f4"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:07f24f462bb228405cea6228f0d537ee1d8f6fc084529d379e4a53eba9c51e04","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:7be9e8453a4aef78c86782b13ebb2b3b0ad59589719f576e437162e57c3c47c9","candidate_id":"sha256:98b1185b43612c3b84a4fd1c5868193d7631757187c64e19f7034ed237a3a1d9","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-7, -8, 5, -4, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0ba9e42a5e9b63ae77296a2d394cbb7cfc2304f7ac669d3602cccac6b71108d2"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:0486cfa0715d1efa0ff7cf3ece180de242e951f3d0b7772efc7a5fc69f595a05","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": -6}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-7, -8, 5, -4, 2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:29afdb70fb7cf5ef9b3d1bcb7180a906dc76eea85e6e91d485c13c4249adbf6a","rejected":{"artifact_digest":"sha256:c1e25c58671e686ebf25e1c385a37bdb93011f51378d52fdf6497a8414ad4297","candidate_id":"sha256:666e9a167e72c97050f15f126d3b5b8f4c0452b87bd52d3689ed26c22a11d066","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, -8, 5, 5, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e7680f74d69cdadb62aa6954594d64d961c687696042babed4a22b6d1e591397"},"sample_id":"sha256:8f7685399294ddc8314df22af37c9349264ddeb3a07e38473eef63b6315b88b4","source_transition_ids":["sha256:a8370ce910b8a77640dac8cc9ffd724f87522407ce21b0a3e89c31edb3de1d2e","sha256:c36634b6e6d6c59734674f4ff8fe46a1bcb14558dd65de3c58625d67d3970ffa"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000257","trajectory_id":"vlr-formal-v2-0000257-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:71778dca9080de03d1ae2b70ae8982e9e012fd2e6d0528573232327ac0d3854b","candidate_id":"sha256:2fbae559afcdd4c9aa22e91d57a991e44dbbe478d05d0c0688d61c958d56f187","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -8, 5, -4, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7a3e5c96b61e7576fed45f68a25face9976d78b9275c71dccc23e37aa5b77b6c"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:98b1185b43612c3b84a4fd1c5868193d7631757187c64e19f7034ed237a3a1d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": -6}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-7, -8, 5, -4, 8)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6f5dae68cfe4600d7379a99e038640dd18c0e1995868baadd41b4cf6efbb3510","rejected":{"artifact_digest":"sha256:834f9a4fa56aa4403fdab226ae9c35405e4f75d84dd17ad64910e3409e11a682","candidate_id":"sha256:e418e96ef9400f6096a1073b57d985065be20bad1391e676875660b27d5b4e93","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, -8, 5, -4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:847fadada9828ccfce153d002faf9d62597fb11fb7f71a9ef72989fde3e439ec"},"sample_id":"sha256:41d48d57f047f3fac78cceccc0c2aad9228e04cdf914e402ca3855b1e5753aa4","source_transition_ids":["sha256:2af931d4122013a46a2d11ea92804857368fb4a644451e98c0c09f234c0ca577","sha256:88b41106e1c5fc09c65137d12982e86bce7e8a52c54cea6d547faad937a82ec1"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000257","trajectory_id":"vlr-formal-v2-0000257-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:746b86bd119fb0852119d2916816a2b3eeda9114bcfa54df7c86458df972ea50","candidate_id":"sha256:8fb59443ebb735f86cf6fabca8123e44e78b1aaf16d57cd4f016a4ad59a36704","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (3, -3, -5, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:8bfb3b818c98819ce614b66dcb91eeb206aedfe0a08d45b1bf79c5590eba2162"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:d7d9a094b90f46ceb150146e748254c56073031d12b74401f288e1af12fc8b09","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -32}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, 8, -5, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f5473c258db1517313db6076b09f245942119ab5798900429c1716553ab1f219","rejected":{"artifact_digest":"sha256:889d7dba89427cd151fd4fe8d6d3f0cbb73a6bac560b8c69a1e62f9af20bfb72","candidate_id":"sha256:e1f1958dc048b0ce76b87104778c56fe789e0196752ed69990b844e141242429","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (3, 3, -5, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:bce5b29b001dc9ef131d38504bc10e5405abba2a326001e5a2eb4bc87a463850"},"sample_id":"sha256:ed925f95d8110471461ac0c402c20581a25b102f061c581d6e07dc00857f6569","source_transition_ids":["sha256:e09fdb8fc0579da273046ae0ba556fd04f856cc4af6145283504aefb36f44abe","sha256:5d2ea17f8430228a4106dab96ff5e8965249c3725da626d34c7edad971dfd38e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000260","trajectory_id":"vlr-formal-v2-0000260-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f45615f2e607675389251a3482d09ce98ece4a5a53599de5ba5dc8c705039640","candidate_id":"sha256:effae67fa773622bb0f8e944b3281332b73eb0c540baaca825356c671f5ffed0","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-5, -3, -5, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:f46765bf3971333a4895fa39135a984aaf7deeb56791aeeac8d982cc56e1f435"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:8fb59443ebb735f86cf6fabca8123e44e78b1aaf16d57cd4f016a4ad59a36704","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -32}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -3, -5, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4d83b02d6602564db59c2a11d167f84cfc85c774210e6725c22b1669822c20e4","rejected":{"artifact_digest":"sha256:ac0508c7bb4fdb3fee2917710b0da98b81c8193f6651a7bfcf78fef4757108a2","candidate_id":"sha256:d03c70f29ca08ea259559ec7f3fd2e31ab46613dd6696b8bc0ee9a8ab2617330","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, -5, -5, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:263cb442d506168ac34a87daa1755997bbcee570256558c0f42e577792bd015e"},"sample_id":"sha256:bfd2a76b1b8bd842f70c332d84730f4721d9905a549b9c331c3c1952a602cd0a","source_transition_ids":["sha256:ae45bfc1399b900f037b00ca3f62d37ad67ec5aa5730431b7c69089abe742718","sha256:f491b4a9eb61c4edc1ee69367bec048024425071c480f54ca7429e54d49024c7"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000260","trajectory_id":"vlr-formal-v2-0000260-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0e334a0d3c00eb835875c32d3f57cce4dab7d030e5328c27a193e69a26ebf9df","candidate_id":"sha256:e052837813247c558e4416def7a19411fc68451c478cc0a9ce17194140c697d3","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-5, -3, -5, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:b6875a99c4e4ad819ee29842384b6fb9bba6f1475321cb6c6b695787d11022ff"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:effae67fa773622bb0f8e944b3281332b73eb0c540baaca825356c671f5ffed0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -32}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -3, -5, 2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:aaaa843a6e5009e6e94af7c1a98dbb215f2a289987804f358a0aeaa986377fa5","rejected":{"artifact_digest":"sha256:c0dd1ab0f23d4f2a924ffd9a002c4880be7ca3ac6e2eb64a8c31e255d798be52","candidate_id":"sha256:dc7ea351a1675929bd60d9cddb9bfec909a4c8e76cf92694477e0530208a3460","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, 4, -3, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:6308bd76abe163f370cbb2e42c8e64d49a94bd9eb73e34ba885fb54ae4e21469"},"sample_id":"sha256:82389a9a25b43a16ecab6626938fead7b6524cf3355b03c1e8605dcbfe17d131","source_transition_ids":["sha256:0c0ddb9903a02116ce22a1e9a3cd6bd20e216330f9eb5b0971b8da34448e7067","sha256:5d270611b1fe676920aba7de6c77765a8f1bcb494f953f728fece65753532d93"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000260","trajectory_id":"vlr-formal-v2-0000260-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:abe35272c55deee447381f55e4926f81d21c6083e48b197b3607e3bdb38eaccf","candidate_id":"sha256:a54599d96ab53a6171626dcd39fbe44137055e29d4429ddede27013880c2bcfe","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-5, -3, -3, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:0468a1e696bd4396f3d1e130504066a9fd823e659ed0e829d54cb18367044b60"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:e052837813247c558e4416def7a19411fc68451c478cc0a9ce17194140c697d3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -32}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -3, -5, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:411844e5b53ef6ff83452e75606f26a21d018f15f162df72377fc1fa2180510e","rejected":{"artifact_digest":"sha256:c0dd1ab0f23d4f2a924ffd9a002c4880be7ca3ac6e2eb64a8c31e255d798be52","candidate_id":"sha256:dc7ea351a1675929bd60d9cddb9bfec909a4c8e76cf92694477e0530208a3460","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-5, 4, -3, -3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:6308bd76abe163f370cbb2e42c8e64d49a94bd9eb73e34ba885fb54ae4e21469"},"sample_id":"sha256:c55ce50253b2bab5ebd2f466b8629bf60bf8154cbf89a158edd523e2b2e4996a","source_transition_ids":["sha256:1c178427e7ce04f436b48d1ef14a2ed6511558a9c9261ad62782886547505f5a","sha256:dba8aeaba4403319d1c71ea510fe469069d5a8d1010007cdce10e7521b92e516"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000260","trajectory_id":"vlr-formal-v2-0000260-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:059318ecdbf9e8c99b4398d29cfd25b4d1ae79ee449cef39fc9474ce9349768f","candidate_id":"sha256:2ed91665cc9c3b0333b791e117fcd183271d94e52180af8158f3177485074a54","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, -3, 2, 2, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e2980a91226c10bd7b29a00d906878544be1ac82fb83b495a018fba9d0217b23"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:793ba185a5fb63321c1d138e93ba3d2f6bc90656de03288df4a8f215c1875ae6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -3, 2, 2, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8f6664f997ee3be3dc85fe641e92e13c856163c6584a40b5781047d6e03129d1","rejected":{"artifact_digest":"sha256:41d1619d5b81a5a303d9116daf232a5be8ca9bea91d9759c80bc7722823a5709","candidate_id":"sha256:6240997b814a55c23930a46c2849c0637e5b7a01b09a24949f8c8a4b19460687","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (2, -3, 5, 2, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b8ee001d7f4cabb873b2cff60c1cf99aa4c5f1e864cb5182d55c42d2008c2619"},"sample_id":"sha256:3806e86123190a781b462aeb0f479a094330009540b365f6c5958b697345412d","source_transition_ids":["sha256:874ee8c2a3c0e9d3390ce9da999f6b810e94779526d437e5baa999c6758e0dc6","sha256:b10abd37cd134560d4dd0b600c0ecb0938c3c499c874363e43566f2d6e934858"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000261","trajectory_id":"vlr-formal-v2-0000261-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bfc386da01cb0fe0009d14c1f466f5a87d0fe4a68312dcd556bcc0f2defefff2","candidate_id":"sha256:ccf7a6c426dfae2f93c9d65265f474a8b045e04c2ddf0593da557ce26c483c0b","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, -3, 5, 2, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2d1a274c56c24238da3cce39b7731d20f7245c989cd98523d24ec35052e504cb"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:2ed91665cc9c3b0333b791e117fcd183271d94e52180af8158f3177485074a54","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -3, 2, 2, 5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ae410a32f27afbc31de2a1fb0412c236c31560f8d9f93106f13d825e11c5e34e","rejected":{"artifact_digest":"sha256:27550d5896f85d53ad7150d0c0ddccfca34747c58653846a657759cd75c65a5c","candidate_id":"sha256:f9814882cc6099b760598d792b70efad1af85e924d1ea1897ee21ec26f029a60","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (5, -3, 5, -5, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:47fcda11a4f9943ef2dec47102ec8df2891ede152c0fc6c578a2a448dc22e1b2"},"sample_id":"sha256:9166003336ae8e10a99bac66b78884853c5bc98f88617709849572515dafd975","source_transition_ids":["sha256:b19a252a6c458c1207bc680e6619ff62c4d4e4273624c33b593638bd358dd3ea","sha256:cdd0e2db226974f139ca6582ae27dfb950d6720edd7769a7891f50dff31f91fb"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000261","trajectory_id":"vlr-formal-v2-0000261-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0c4262f71a5e87e91feb58756dafbf14382549fcb091fcea0eeecc7ac1c87448","candidate_id":"sha256:13bff6bd60ea1fb1a49794f30e5c8bdc8e598d992e5c606ee876bac8c6a818b1","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 7, -3, 0, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:50a56180882854ab7f5f418919c7e055a0e89b2ccea4d39a4a10497d69475bff"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:0715d4b863cbc35a5dd35f726676c348e3dadfe1645185c46f514e56ab0fcba9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 7, -3, 0, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ccfe8aa82d89a1f453a8b31530feae28f705b39e88b9eb8f7cda20cfb82d6666","rejected":{"artifact_digest":"sha256:b4b2f31af42d23323e9f436c07c35ef5014d6bf6e44001418a8687e6d348341c","candidate_id":"sha256:d5b9031d804eadd0b6fe92bcfc77a0f79ae0e8946623a1e604e3b6b7cc57c179","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-5, 7, -3, 0, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f83190a4f4911eb8cd689aa42b5881bbda42dded46d3286adcaa05f6743955ed"},"sample_id":"sha256:44eec5648fee302f0a920a798ff6e480ba968e1a01fa6cfdae43965c5db36dbf","source_transition_ids":["sha256:fbb90c28f93926c5dcec3603a7a605d599cb5c41f70ecc6f9b53493b287b803e","sha256:a6ca09a8a1b72f8f046223eccd2a3c82dac7c42866767942f24dbab398e35580"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000262","trajectory_id":"vlr-formal-v2-0000262-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9461c20f817aac124c0f5105faa6d3ca14370ec2b3e85620dc8ade64d9095f28","candidate_id":"sha256:df59bc0c6256bb0dd61bb1f3d1cc6db1b7c60b6b8023cd7033c1a91ef4fd968b","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 7, -3, 5, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:21d8f75e15d4699dceb33809490a4f976dddee63c378a7d6028fccd01950f92b"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:13bff6bd60ea1fb1a49794f30e5c8bdc8e598d992e5c606ee876bac8c6a818b1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 7, -3, 0, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6b2b140e7b106bf415e9894197abba83bde0103a40e405f7d386cadefdc94244","rejected":{"artifact_digest":"sha256:d2ad9f31ce0db5605da053d8b7d2d0a92dcf339fed0b33b67f2db65ad520b097","candidate_id":"sha256:5d6f9f54397b934ba871c1ab77e3a232646a3f254715922ef9a8789aa01d60d0","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (7, 7, -1, 0, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:de2cd4309a1343916c4809697a62b2a7729b6ab599104c99ff50d95601124217"},"sample_id":"sha256:2c900f50cc3e9120fca463177db56e980d7dc5da89feef315383bdc134e69cb3","source_transition_ids":["sha256:786872ff2050ad9c12ec6b3837a24eabe2d2bb13be5b23a2a4c103b508e8c100","sha256:7db1795af39f7d6987a33d818503b5a1cdf11ed9d329715d5d05d8a008451205"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000262","trajectory_id":"vlr-formal-v2-0000262-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8fd081c4383563ca351bf69cb3c95ef6dcd9b430fb9d6ec422e9458f9b9af71d","candidate_id":"sha256:6c5da72d01b941710444a1062c47905eccae77fbaab534d09bfc4ed0bbbc6817","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, -7, -3, 5, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:492eefd13487edfd179a50d32a468121fccdf97f2cd74fd6f43ef4c09ca00c1e"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:df59bc0c6256bb0dd61bb1f3d1cc6db1b7c60b6b8023cd7033c1a91ef4fd968b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 7, -3, 5, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f25648707ba1f8f8435e00a96a7715f25f97a8cf31e9cf53cf6b5c6ac142f38e","rejected":{"artifact_digest":"sha256:f9df1cd7b7fbdb16ceceaeadfe3cccc5da2ec895f13ac962baede0671aee4eef","candidate_id":"sha256:1b0e8f096a6498e23775454661380388ccf1e99be1d9396ce54eaff875d6a64e","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (1, 7, -3, 5, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:cb11190ce8abd8fe47c8b95355e1ff25307519fe13ac7ea98f570d3a16bcc524"},"sample_id":"sha256:8413ee20fba63a42eddd26e812f2031db88901efc825f08792ff790bc128076e","source_transition_ids":["sha256:7ec8123d2376544aaeca1df2c4b498d32ce2974d60b559f4ee33e36c48d20d9d","sha256:0b9ad8a3d63dc9a7c596c6f649cf6715d5ed03df3ba0d29759a716dcfd306a1c"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000262","trajectory_id":"vlr-formal-v2-0000262-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:56ad61ada6c39c2299fe713487512e99f66cba56de04855e307e944c89009e23","candidate_id":"sha256:3e4ca7150b28cb688187a10ee144c39df1eebc47c365931d33aaf73343e91e60","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, -7, -3, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d1b3ce5994d21b897ed6c4e4ea591939ffa4e51ee2fc3865f0e7cc346924fa38"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:6c5da72d01b941710444a1062c47905eccae77fbaab534d09bfc4ed0bbbc6817","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, -7, -3, 5, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6b2334d8f5daa5294edf664788d3f363321f7409c6f1df42c39444614a4a1092","rejected":{"artifact_digest":"sha256:9c25e421607e73e60c42d5eb9b1942d031ad50c6fe9d75d82f2f1ed1afebb165","candidate_id":"sha256:56c954432cf803853ba85219cefa50aac1f1bb428243ea4c00f7b2bceee70932","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (3, -7, -3, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:1d570623dcf60e1936ad1861a7cc23938bf145652fbeb30ae63b7b6aceef7efc"},"sample_id":"sha256:427668cfe363798ef7bf640e98a0b672a7b7621e4edca9cec72bad3a8784b952","source_transition_ids":["sha256:62a3bc2a0a976ebbd49b1490cc3f7b2283cc365fa34c659e4190eaca728fccd4","sha256:18b3cf1c3d5a458e25ba9c865e9f2a33c5f0ff598fe4c22efd30b1a54377efa7"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000262","trajectory_id":"vlr-formal-v2-0000262-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ed19397d273ee9f6f74b73d334f0f1100bcef1f7cf8a2bd774496544672a396a","candidate_id":"sha256:d18c5fcb46012c52cd60906ca16ba60cf24440c34360ae6a06ac7f3b520623b1","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 3, 8, 7, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8a605e7e8c9fc0c0548286e61884a9eb368bbe93174cd4dc9fea323ca68ab94"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:d22088029ac197d78080efbfdfdce95a79b123b90dc74fdd74ead02ad10c0e58","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 3, 8, 7, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a037d9478c763200dba07f1fd474a5bb23cdb57ba00f92ef52a091a85072f9a2","rejected":{"artifact_digest":"sha256:d5a63ec7fec0d4bc588f2127b82299453bdc3ed9b8df447d5348a0b3e40641fa","candidate_id":"sha256:ee42339fbf7edd62427e14d86fc2c4f74913e48cb5aca120d94077c7da4bb2c8","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":10,"improved_coordinates":2,"phi_candidate":12,"phi_gain":-1,"phi_incumbent":11,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (2, 3, 8, 9, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2a3bb260ab8ee3994683e107641552b3a008241124654006d3cd35906db3ed07"},"sample_id":"sha256:90decab6e302b2fdff2a6dcc04ade8aa55e605b1e20a6e809ea48220af4cf734","source_transition_ids":["sha256:8668e608e5e559a6df35699a9154b559b7b20d5320131f620e45d47be97799b3","sha256:d102c905354a47b05380106f1fca5201fef4c9f4e808141612bafae5e8740191"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000263","trajectory_id":"vlr-formal-v2-0000263-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:edb96ca31bd0743e69bca67087494e9f12c3ccb0ded37234e487c438f234dac1","candidate_id":"sha256:480d36740cab7e4a088b32798fa6864fa2f062bcbdab70f36b1b5551f4726125","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 3, 3, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bdbc1903eea0c2fd11456801c435bcea092af7ad1d994ac251bbd56135b94391"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:f97a928fe79979a6ea2607330f117befbbd12d8c205c725038e6614f7af90a4f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 3, 3, 7, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4f20437dfc8248db1d06b6585a3eacaa66879c18cb287a2ac3c6dc9cc0cc6b9a","rejected":{"artifact_digest":"sha256:34063e2bf60d7e519a40419dfd3c16dabd9ed5063733c0b3f3c369b872634c6e","candidate_id":"sha256:aa4350cbd0d1f449d2bdd7a2a23a5d4138a2e7fbae6eb54fd10168e123e277de","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (2, 3, 5, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:dede784c6046c8c2f94d710ac7aa0153119157d838917204ba7a9b0a4e7a39f6"},"sample_id":"sha256:d4de07f9c3c226bb1c93eb1586961d12d85d1de57c2e631d97c7af8eb87a9ce5","source_transition_ids":["sha256:c9ca6e0b0676145ccfc0ea5db68fdac68f0df6736761ffa121cd0c80f7956e40","sha256:c9ef09a376b5f01b0733ad14221e96079dd54bf34763a24553b2c3c111a5c4db"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000263","trajectory_id":"vlr-formal-v2-0000263-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5983f7216d2f52be500c992685cfca5a88438d885baab2cb22669af8f40b7768","candidate_id":"sha256:2eae509aefaf342dd62fe0f01021a87086e7d19c9896072578c24567b14ed1c9","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 6, 3, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2730d1ef58422994fc8e333a5c196e8aad3a2d47ec5e3e620fe9af0dbf43191c"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:480d36740cab7e4a088b32798fa6864fa2f062bcbdab70f36b1b5551f4726125","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 3, 3, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8ed0c22ece7bdbedc1ed815246e3b46514edb91c3a9a35823ee2689ec316ea22","rejected":{"artifact_digest":"sha256:41a6af85fabda8f84626211ff183b73c3cb6522c9c47dbc0bdee62ff54d8271a","candidate_id":"sha256:6bbddd4cf2c81ac2d78319d6b104c33225e9a2b4f9b834a06e99a4c14c9e67c1","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":10,"improved_coordinates":3,"phi_candidate":2,"phi_gain":1,"phi_incumbent":3,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (8, 6, 3, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:36e1a8ad4e89c297c4838e8e2aa9bd39b18918d653ef88644da2c38e88feb350"},"sample_id":"sha256:3f6735cf416aea7e8a62d80733b90b041b19d31224700f5af830b218dbab3b93","source_transition_ids":["sha256:01671353fc1d07dbcb7dbb432876dbfbb4465c3cc52f8c68aeb66559d98facba","sha256:1160ec7f0189474c152a0de4fc781ae923a4ddd5f35c7bd942f4ba747a741da7"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000263","trajectory_id":"vlr-formal-v2-0000263-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9886e3ad0729a6e57556df2e1c16b9344882bb466ad70ab02920b65d8ac5a675","candidate_id":"sha256:8f5227813022f1976d760a4344dc9e15367f36cf66f79ef88929beda85738543","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (14, 4, 3, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b1000ca4a886397fbfce63c12c9388722f494faafa7651d85b897c31b0285ff5"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:eb4541e139b3d7456274715139ce54bf00e1d56e2c6f983f8631931c0d5c705e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 3, 3, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:66d49145ac26b3121488b2f24f46df7a4923aa8c9c288bc502659d2689550320","rejected":{"artifact_digest":"sha256:bfa5d40a146ad2c5ef4a17430c83350123977e6417413b4d7bb992ba2ec9bb40","candidate_id":"sha256:914f780ba8eedf96e21df7eaaba225378b3abe4328aabb25609bf4fe67476578","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (14, 10, 3, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:88b56de79d45f624141cb3d50268e23947e53cfb30ef9b6b4ff53716cec101b8"},"sample_id":"sha256:32530da81294ae4c3bdefab384b22fe3f869617e8d9a84cb8e2f6afa0215d623","source_transition_ids":["sha256:cd50eb44ae52bf19d6c13d507cdc6243b2a5fcb8f09d70bdded053dc4577ba5b","sha256:a435faaffe1a70984b56c3ddfb953872bc1ed6694cb078b567f682056296cc27"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000264","trajectory_id":"vlr-formal-v2-0000264-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0c01350b37891f07e69833325b391bd0cf9d98d4208e40686460834de36dd94f","candidate_id":"sha256:92d6ee02505f906527ca1a61255bd41b9f5298b8d357e536be511e446e3012a5","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (14, 4, 3, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3c70655e9096bc148c8a98439b1410b5f70253a3b3bdf59a49be87e9c0cc8fc9"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:8f5227813022f1976d760a4344dc9e15367f36cf66f79ef88929beda85738543","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 4, 3, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7923eabadc253fee2c63cfc6a9401665930bf453e863201b7f754c8ba2364f79","rejected":{"artifact_digest":"sha256:3224729716e4b1074a80565bf4a972e60ce1d61859120cf85ebd47e2eba43628","candidate_id":"sha256:4bb0078be8727d57c6e0707c1778ed7161d1cbf7780a6f8917ba472db0e55052","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (14, 8, 3, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9bce764a87849e309e6fe86097da81d7ad33f51f8cf7674e17f66884f9fca2ca"},"sample_id":"sha256:9cca69500e5fd0fe4a0f82833dc09782040da161bf755ffd413a2c4924c3e24a","source_transition_ids":["sha256:ae9fd6a0856e070730053ddbb3764d7d79c4062e4b00b8d4491ee1155d3e6968","sha256:5a232457ad88b68f38d27ba2555994607f1f49f52b3bc98b1046658003abcf60"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000264","trajectory_id":"vlr-formal-v2-0000264-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:89fab31e9f89a3dc23cdd69a2642e7bf11d25d79929d5c0f15ded5b84e792cbe","candidate_id":"sha256:48ee270f30917262e6b43f00fea603e069bfd327dc15e944d81cb3eb225f9de6","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 4, 3, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:fe77c0547efc2d53310b089dd5c74e37f34511585a142fe7ee247fd54217efcb"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:92d6ee02505f906527ca1a61255bd41b9f5298b8d357e536be511e446e3012a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 4, 3, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8425f75d9561f9dda4921c5cd9ccd64a15144a7bb78809e14d214aba9a7db249","rejected":{"artifact_digest":"sha256:4012de1691a95e37a7b86809adc7bd1e6892fb6569f4d27308f74f1c0cb8ffe5","candidate_id":"sha256:1bc3c3b8195c7b00f43a789ad5c9bbb1f244ef04b845133ed59a13639bd12e10","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (14, 4, 3, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:67bef5b10c4d9d09968cbfc66e01a22b741d54522e6920a9c751f0f93522729c"},"sample_id":"sha256:d7f71bba5424d50b2f0248e603b19d80733f0b67c104ecbb865cbce81876f1e9","source_transition_ids":["sha256:843db1d38233ba4683f5d6b0526cf30a3b21327e4bd8664d3f0831d40357e478","sha256:3fbecba50d5f9c189db7a86090ee168c82d1e561497a21a639209d38c1d81643"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000264","trajectory_id":"vlr-formal-v2-0000264-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9c9659e77e6494be247beea7ae9faa98c9a93e8c24549011f1c70833a092aced","candidate_id":"sha256:782b65376d4f94d0259d75fc794f47321f3245fb37862a6019f53e18f36a51c9","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 4, 13, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f90a4e70972feb98f37a0ae770135213d6bae669a98f93a02f22ba256e387c05"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:48ee270f30917262e6b43f00fea603e069bfd327dc15e944d81cb3eb225f9de6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 4, 3, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d0abd065a4957ee7767f0e34cf1cfc12173268dc37ade23f48c13767c549d9e3","rejected":{"artifact_digest":"sha256:c0ee2e7cfae6be9aa2fdd2e9b3a5a503a1f116f238d9125a54d7b7f6d53396b1","candidate_id":"sha256:3bf5144455be725fbefb9a67d1956be79aa94c1fce58f663b3e96ba3dfb3bf38","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (12, 4, 13, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:34b0963baea1ee93269bf16083a1e0dc6273f73fc4741ab81acdcca71e41667e"},"sample_id":"sha256:4cf088df89894d33e7da59093d46cfa9df7d49881f671ce76fb155024c925908","source_transition_ids":["sha256:f3b506e1c18768f339baa27516429977dd4cf3282e2d61c73dcbcb2f4c2288e5","sha256:0ae5abda5b72f276e5223d034583cec3bea8a7ec713430d64f228c9199f546e3"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000264","trajectory_id":"vlr-formal-v2-0000264-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:da043a3f3732ed3c568b8e327d372c98522172b4a8a878bbad9bf2b905f1b8f5","candidate_id":"sha256:fbaae99c2669acde0462690ca1a7fc5ccab19fc5213fe925fa8de02fd0baf5a4","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 5, -1, 0, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7e623bf10fd3cf205938e323ec135a6cd0bf46eea8bf500f48acfa937ea9a20c"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:54d3725917911e948bc19635843dc5a38956d25d2a33852877c37da19a3a793e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 5, 7, 0, 1, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:72b0e7930ff6084fc2e0e3287bb04d5536627cf4a63a9c3c76724e98a117f740","rejected":{"artifact_digest":"sha256:c09269541270541cd9481b62122fca2d03fdc582b4131872584aede7d165a7cf","candidate_id":"sha256:c1a48db8f60e1dc6b031e18b9dde65023ab743701dd78ddc40a27d46f9764fc1","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-6, 5, 2, 0, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a5786561ad33a1e8866ea2b0f5e1719853c28eebd9f4cbe75a91e6d02b89fc61"},"sample_id":"sha256:f1bd43d99de253d99e32a2fa11980ec5d6c0b0b150572a06ea36bd6be93fa9fe","source_transition_ids":["sha256:46828634a30c2061626141cc792a5317387b8b6fb5bc2983369a483a42c6d0ae","sha256:b8e0e49a40ecc8826551317b6ee73da0c68e1057adae77621e8eb2ef95c1475b"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000266","trajectory_id":"vlr-formal-v2-0000266-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:65923099ad353c8f1f7a829271716b979eedc8d566cb772a12366bae0459acd7","candidate_id":"sha256:d8b702849c581e707b24f9c3ec04b7dd5655cc608e434b54b8f142c3a295217b","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 5, -1, 0, -6, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a745e91a69827ed5227f997c67fd9a8328af3f00e08187b86538095514274f31"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:fbaae99c2669acde0462690ca1a7fc5ccab19fc5213fe925fa8de02fd0baf5a4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:c20282eea8a593f6541a2db450dd3ba0158a90af07b45c0dcce8bbaac2f69002","candidate_id":"sha256:e64c13df55501f7e5f95e0ca0090a04c2acf3ddf50803b704b9763769efa6b1d","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 5, -1, 0, -6, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:9e6af53a52167562fbfd3b2a22760d498035ece00e9ce855a1db5a091f36c029"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:d8b702849c581e707b24f9c3ec04b7dd5655cc608e434b54b8f142c3a295217b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:54c2f559443a35cc681e70d235ff823f405b3ed4cef56eacf70fdac7b417b2d0","candidate_id":"sha256:5e9b40246317335c9149b55d9612c7846241fde5803364af0627a7a2a3d2516c","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 8, -1, 0, -6, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d11962f200feac2b0665704f1f6944066ab63f511bf67436b14da1442286cf4e"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:e64c13df55501f7e5f95e0ca0090a04c2acf3ddf50803b704b9763769efa6b1d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 5, -1, 0, -6, 3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f0af7c60ec6e8e8c4c4584c54d0e245fc12216e48bd2d32e8017c730be0e6b61","rejected":{"artifact_digest":"sha256:54967271943f8d58be6105fb1cdf92b5123f180ecf0fdead48377618a8131f24","candidate_id":"sha256:2056f838235b90d390ade6b973fa6925ff4d4fe12248e7690d3dafcc82d1434f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-6, -2, -1, 0, -6, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:83ba35fd09be43803d2b2b295bc24a1e83867d97a33c36dd5751b276a5fe32df"},"sample_id":"sha256:b835d11891a87a6b0e9d633ffa883633820bc2ea0020fc997c6f8b487a6ff6d7","source_transition_ids":["sha256:8bf8519a9d32e0e055b037c4eac4214ec3646ff60941d63437eaa8c4007dcbf0","sha256:4ea13eefa58da4f89ebc2d64137452085bc12a7ff5a95abd7231f633e932cf40"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000266","trajectory_id":"vlr-formal-v2-0000266-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:121b04a070067f054ac530ce5fb4d6ff1c13d77f32acf723da908a3f0d91f962","candidate_id":"sha256:9e023103640779548531785f058d508c01217d3a45e5b0719733977489bd0c9e","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (4, 8, -3, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a7124c5c0a0879beb25728449b589abe37d031ca287069f1c26b8477c480012d"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:2f3e4993401882af10a42e2712cad614dcd44369b477dd3929a6d03d76471b33","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 2, \"output\": 0}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 8, -3, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2a42c218260dc11bcbce11e3049cddaa0c0b2e3ae3d690de0a512aa752059c31","rejected":{"artifact_digest":"sha256:604170c95bfbbcd85eb909384439c3b5b0c7e619be03d3364b749407bebd9335","candidate_id":"sha256:ccb41c22976952081436fce45190d9d86efff86e9ab475efe5593d0973896cc9","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (4, 8, -3, 0, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:78ede0acabbecbad1bd5d20a7353cd3696fea296de7ed1267c9ec2ad8c7f34e1"},"sample_id":"sha256:82b24474a03acb47ffb93eaa32e5b00c1fe1f56fb26406f65da5283615610e28","source_transition_ids":["sha256:460e0d51aeb4aac0659e4a795bd1b5f5e3c7017ca0c92e04051b77912f9538c6","sha256:d829850f7531ad7ee89c88dc9d79ef3810e00d798646527e558864b19f2febee"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000267","trajectory_id":"vlr-formal-v2-0000267-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8d953a4369ede02c978518da60000a5540e2b246b03e058c65374807c00159a0","candidate_id":"sha256:68f1bad9ca4c451d09f585e951d553fc73d49e64260ef3a421ebed0fe4b6520f","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (4, 8, -3, 5, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ee32a069a74fa10b953fece1a9fe5b6412c5ea9cf7327203dd65cc7eb14c2faa"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:9e023103640779548531785f058d508c01217d3a45e5b0719733977489bd0c9e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 2, \"output\": 0}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (4, 8, -3, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:86a49ae0194fa1f1ad7c0622ecd746d2911c2d2a2b0482f049eda4dd5a68b648","rejected":{"artifact_digest":"sha256:13f65c58be4ff4d7b277a099510fb39dc0f67d55fc2dd575bf91df4ec3868d8e","candidate_id":"sha256:dd35359360fbd2339c1038a9a9db0007de8225c25059bf1430f553fb55e6a6a2","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, 8, 8, 5, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a50dd7ac97a28ac4044423bbca1102a638af40d3c7b46b5c91336443ced33d12"},"sample_id":"sha256:3379e89d4eb6b2b8b9b816d19b47c02622f3bf60a50cf00009728f4172902b9d","source_transition_ids":["sha256:6e61a6e3613914e88194169323c4f122c9c186948f1110d4a7283a4fed0b8ea8","sha256:90dcb91deb28fff7159716d9abed26560539eff1832e910abdee0f6d5508dd07"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000267","trajectory_id":"vlr-formal-v2-0000267-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:04791746272319853dee9359a95b2ed2f05f75d7f33c70cdf5380a8366384592","candidate_id":"sha256:3063fea0b94d032efcf16b41d415bda097e9f4b7e6a717066a6059eb658b6ac7","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (4, 8, 8, 5, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:70c3a2551bb3424a16cf89ff9e8232a2a1426185ed4ec6a7e4244e4a8634f65a"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:68f1bad9ca4c451d09f585e951d553fc73d49e64260ef3a421ebed0fe4b6520f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 2, \"output\": 0}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (4, 8, -3, 5, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d9529d23775db27856600dbba7c9206b65a17343332258726ee0225e2b94fcb1","rejected":{"artifact_digest":"sha256:c07e082691807f78515f0d6f772ff05df0f8edf4c30647b02e80c0c410bdaf15","candidate_id":"sha256:9a6807eea46014670e5ccc6ed5d5741b885051fe4d4cbe87a8ca00174cb626df","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (4, -2, 8, 2, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:20f4f957351ce7e61998e75b84b2cff8a3100ece8f923de834152376a1e6a084"},"sample_id":"sha256:9198bfa7ccd5f63a4009d232cfa0adcc273b0fb521a53eb70340e3a871582f52","source_transition_ids":["sha256:0bb43b86c3ac9020590b0b80c123713484620bcc040eb14b1af10bedebf0892f","sha256:fb780726b0722fd377dc8770ec576429400f965b7924c1ea42fa51a4e65bfde8"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000267","trajectory_id":"vlr-formal-v2-0000267-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:916467e5434a0108195929bc47e34c26b0cecc184cdb6d656847833b8cf62bbe","candidate_id":"sha256:2ca556c781c2f4534a19fa40931945f762baed09475567e93cadddcfc74e88db","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (7)\n    return x + (-1)\n","verification_digest":"sha256:abe40cda3957925dc68ae15f1a78e4638357e57bfaed31baf78d7e56b7f2e639"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:ddcc52c21871557e029d8b45298f3ee59120d00e13e8be50bf413e3f4a8bda15","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -31}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (7)\n    return x + (6)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8afc5b66dfdcd0f3b348dc6d62ffeb2843233db5300cf5e86b86d77e7ab98b09","rejected":{"artifact_digest":"sha256:eb3b57c3a990714a29e301d57342177a64c0166fae92a52c5e18df9e25b9555e","candidate_id":"sha256:3bc8c38b975faf9112d1b8588fb59de1bc82248d9cfbd31e9c70718419bb6974","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (7)\n    return x + (0)\n","verification_digest":"sha256:27c099861b8ce27b9efaceda7ea7f4858ad859747a61b6158762a0c311cb1aa4"},"sample_id":"sha256:bb26ac3ad8f6bb716e86842cb1bfb9d50ea8c46395dff81ab4b718add666820f","source_transition_ids":["sha256:7add07524ee3009c37b71e0387d641b42d1e94ce5853dcab11d82e1457f9c801","sha256:6d04b81f3fa941c878d51602e80cb862f0fbf992cb8304824fca64104a74db9e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000270","trajectory_id":"vlr-formal-v2-0000270-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f2b8fa34fca96d8468b064a78782151bdfa353f6a2e720554e39fbaf6f88e9f2","candidate_id":"sha256:8af49ae95119bbb1c474b1609e7fa8fd7d483e210468fdc08b579ed5c799ea0f","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-1)\n    return x + (-1)\n","verification_digest":"sha256:96ce81f68f9782dd346323e27a23b7b592ec4c46df0e714f8d5f32e35cf17c91"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:2ca556c781c2f4534a19fa40931945f762baed09475567e93cadddcfc74e88db","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -31}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (7)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:13bdef4a36455c91d4dbd8e2469f52a375fb8826bfaf7f8bba26971e76596c62","rejected":{"artifact_digest":"sha256:ac45df3b28d18068fdba85af956bbcdb03ae4c6c132fe7c3f4078096b2db7ab3","candidate_id":"sha256:6c91dac770194f10bec56c33d90c31337c44522bda190fbcb3b44e08876606d7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-4)\n    return x + (-1)\n","verification_digest":"sha256:c2c724f7a90b4068189353b22207eb37463ac001aa1025c3d8ba835025977c61"},"sample_id":"sha256:3ef41fcd867122c69b397174f8434a83812f98611369b298f119567d8ce0dd63","source_transition_ids":["sha256:c150515ffe805be46d4095669e32b544e8440047e6230681b659afd82cb66f44","sha256:261765d77e8e5988a674bcae9c729fc872dc3a9b64772bf385371b216640bffd"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000270","trajectory_id":"vlr-formal-v2-0000270-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e37e7b8fc840dd3a6c24e73d53571c16ece2bc8cc67fc412932adbd1e9a283c0","candidate_id":"sha256:959649656387e87fb0d4471476ee43b58f562537a0f019a8976b7d1908994897","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (-1)\n    return x + (-1)\n","verification_digest":"sha256:395bc4eda1df8f92d6328faf5695065a3019bcab36cb55d64882ce3b36c35b81"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:8af49ae95119bbb1c474b1609e7fa8fd7d483e210468fdc08b579ed5c799ea0f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -31}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-1)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fe5d722f2f3178a7a648fe9333cf2a29b4ad7a5d3b3f46413b15e3ca9c2240d3","rejected":{"artifact_digest":"sha256:81156f85710db9efa5811813cd9d594d6db93e56b54d91ab40bd915cbea4e1e2","candidate_id":"sha256:821b7f0abcf619caf99c8bacac4de7f05dd8e1bd1bc5ec17b13c91b0b67d5627","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (-1)\n    return x + (-9)\n","verification_digest":"sha256:184cb063210efe9d3cff0794848c83e9ed69a559dedf262a512c66c4fbed1e14"},"sample_id":"sha256:707f2cbff86f6996dfca872302c20568a42693d3a0b333777e3d8e96fdd109ac","source_transition_ids":["sha256:e20e52f9c47ab893f61e65a9551863bf9f86a5687cf652d7a4b812dcb9197780","sha256:d24748b8f2c09a280fd2637d793a0d89cd21c43d369756ef83ea2f30629bb5bb"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000270","trajectory_id":"vlr-formal-v2-0000270-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dc33dd89288313b298421434f2318db227d2895e5b560d7f465ae39a9524894e","candidate_id":"sha256:d91ff253e778cba64092625e4f70eeaa402870d712b6560dfa2d4e1574508ba4","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-4)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (-1)\n    return x + (-1)\n","verification_digest":"sha256:5f2ebb9457a1db4bd8ecb85fcbba9e77066ffc97ab38d46f0df52d6959fd5ea3"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:959649656387e87fb0d4471476ee43b58f562537a0f019a8976b7d1908994897","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -31}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (-1)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:123b68ef82f8b5fd49208357748e223cf8c2981cfe8a04302fcbca3da0b86782","rejected":{"artifact_digest":"sha256:639cf9fa6fafcfd156f95409629f7293debeb8ae25bef5648c0d442a7d52e83a","candidate_id":"sha256:cff084e280098f5699cbd96036cd2b16d0caa57785fd426f0e686392ac06eb27","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-4)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (-1)\n    return x + (-7)\n","verification_digest":"sha256:c72f0f3937dbc1d3d9a159867eeeab88e9ffa50c9d38fdee6cc750ad157a683d"},"sample_id":"sha256:787d0198a1fe11b144c1960568a24175d4f715b863d3d9442c5bf37306b1e2ea","source_transition_ids":["sha256:610ca6a21a7f849f1d4280cdbf267ae6b28429c7e09e490844750387d8d8c8fd","sha256:22b698d216eb5bc997d38e8b484ee92b0e822c56d19150c0e50360451063edd9"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000270","trajectory_id":"vlr-formal-v2-0000270-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ef0389b1842422d0f5afbed45b4dfceb9603a363e5989fd101a6446fe6fb6b02","candidate_id":"sha256:47c1a82c62263c7bf57ef89182d2d53b896d1418c81941132f324b4f20f5064d","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-7, 7, 3, -4, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:66bebcd9a9fa8cdca33249dc67fa6c534293878e72327f906c1991a1642b035f"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:fcbb0df8d86182cc149c49897584b25a3bb5b003b322fc6f35cf5e631d162ce3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:b254e1a4e1d0e551290a31b50dac9322418e466203422c2b585283f1543bf260","candidate_id":"sha256:2746baad7880b83fb45f8dedf6690a7ba8d6121baac0df163cf1fd7cb8580d3f","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 8, 2, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7d38b5622bfd1e30510e2c0571070e7d9d5bc9b6550e8fc3c26ffe83245adcd0"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:e7f5294627702df5b88eaa69fca5d9cc4e95d8ec8b971d84d3dc4abf6a15fa72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 8, 2, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:daeaea40e9c5a2bd1978fd244326a0475860fb088d3290374e88fe502f13c010","rejected":{"artifact_digest":"sha256:5cc46986494108f3fd27284c4723c821419b01ef020d900d8610808e26a81a81","candidate_id":"sha256:e261f2728873771fb717a7260fb0edf73f43e17e0bd4ec022351b24abfb64ec9","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":5,"phi_candidate":6,"phi_gain":2,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (1, 8, 2, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:834dd17c9050424a2bce9279ec5fa722fbec86973aecf8c5ab1e727e9de0724f"},"sample_id":"sha256:b0c2acf3d286d9ff42ff866242c8f0e2be17f8ac0352f4713826505917cfceaa","source_transition_ids":["sha256:acfc22462184e73fc67ae763f30ae456b01617001effbcbd99611671ea220303","sha256:5ff23dcc2a0f9396683e44fb35274df6777c82566d73d6673c9b378ee3321db6"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000273","trajectory_id":"vlr-formal-v2-0000273-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:41cb7272d12e639563a78aa73a73f1e041f5cfd017426fa8d7786275a5f077f7","candidate_id":"sha256:9575b7ee8dc2e833ba8c3074fe98569b01f746a8ef3121aa011c6c11504c26fb","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 8, 2, 7, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d0e915340f6fda15cb62eb12cc00caee39524efce6001153452768a174e84d6f"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:2746baad7880b83fb45f8dedf6690a7ba8d6121baac0df163cf1fd7cb8580d3f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 8, 2, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:63b944c50e9901bc5a3cdb689334972eb5b6caa170e4a2eab34f48c7ecd2d829","rejected":{"artifact_digest":"sha256:693cef4f6ebb78318dfeee0fa6814e901fbb53a5e601c51034aa4ebcdf08035d","candidate_id":"sha256:7fee0e5393a8e5d378fe50641de57f5fc30a0a98b19588d78453a18b1815bd79","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (1, 1, 2, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1a7dc84e7e541d68b634cc900bd81df0741a658e30549d5b5b4dcb2b3b992c81"},"sample_id":"sha256:a49f9c0bffd6da1c9de0ef8dc9f9a9ff31dfaf138f1f40ee27727f246cb48bcf","source_transition_ids":["sha256:d922cd9dbb088f452a509a1d06bf14765aeba399c6cdf8f816604ef54343dbf5","sha256:1870b0126078f96c33c94d3f07f50f75189c515dc348518dfa385df3884ebbb8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000273","trajectory_id":"vlr-formal-v2-0000273-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:137e8823a52a323c73d9e7ba11680334383a44d38d6f5aececee1a11a1ea7ea4","candidate_id":"sha256:3a2ca25830ee5ba4a65448ae3a7065edc9b97cbb3b7f8aa751fcdb3ef2e19c8b","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 8, 6, 7, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8a847895b905171627b1da9ae1a99f654eed1a0d86fed97e5fd29bfe4e4ac55f"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:9575b7ee8dc2e833ba8c3074fe98569b01f746a8ef3121aa011c6c11504c26fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 8, 2, 7, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:aaa8f9a3bc8b65b2fb95e64390fda78fd9c4189c2100eed6da867a9869abb05b","rejected":{"artifact_digest":"sha256:41cb7272d12e639563a78aa73a73f1e041f5cfd017426fa8d7786275a5f077f7","candidate_id":"sha256:9575b7ee8dc2e833ba8c3074fe98569b01f746a8ef3121aa011c6c11504c26fb","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (1, 8, 2, 7, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d0e915340f6fda15cb62eb12cc00caee39524efce6001153452768a174e84d6f"},"sample_id":"sha256:543cca8f1e683135cff756d3530513c90232a3b79569cdd1c92d3ec5ebd86d36","source_transition_ids":["sha256:62bffe86abdd99078efd89e128bcee6564d6a50631e3e17174aedd179d72c23f","sha256:cce9ab1004ffaa7cfd7c71ee3901a5ea6b0088226c0b1d40376dccd1baa3444a"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000273","trajectory_id":"vlr-formal-v2-0000273-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4a321a31c8c1f957f6818c593b754db3b5d2249278377ae96fc4fed34287667e","candidate_id":"sha256:4d44d44ef981ed06ec090a2e9ec90e7229d7745aaf5a7e915933f12895afd5eb","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (4, 10, 2, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:21a7c7bc5e8ddc3d82941336e8ebf04da60aebd6009d11bc6e0f3238f4184165"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:0e6ef5748ff5e747a6e76f928a46e6d251e1d55a444389ccb2e817ce8571bceb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 10, 2, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c1514a28b6264f276ae45196489d1784d887668dd088be734afb799f88331a30","rejected":{"artifact_digest":"sha256:208e08cb94ebc07de8beb805c99b96748cab4281f8a5715e4f34efe6576065dc","candidate_id":"sha256:9f40842532481322951ee775a927b335c3d5684b9491558d715810b1ed9d0500","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (4, 10, 2, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0bb8c2ceadb86048e51dffe560311814382b55b29687d5acf11b73695642a4e3"},"sample_id":"sha256:36ebb24522d5b00aa0a44b8be021922313d18d63a4e1748c0b3e662c092d5ba3","source_transition_ids":["sha256:18ddb8a27c16633232637a8d95d2c092543924bdd4af4c285739d32abfe02202","sha256:94fb958049744f702d1113d09343bab33d3ee34482bbc477777a3bfadb36de05"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000274","trajectory_id":"vlr-formal-v2-0000274-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f79495cbb8b0bf0c403682fa7e554fa5913115408876860288be7eb05fa995bb","candidate_id":"sha256:09d28436eb23bae4d4ef95eab66b65d353b007e84c8dee7050d3bdb52577938a","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 10, 2, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:353f7da447ddcd2acc3259b29100e96672e0bcdf0197d0e370dd94482d068d24"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:4d44d44ef981ed06ec090a2e9ec90e7229d7745aaf5a7e915933f12895afd5eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 10, 2, 11)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c08edc26400ee67d4d9443f4ee7dc87dc8ff10d6af2390c009b927b28d44c629","rejected":{"artifact_digest":"sha256:208e08cb94ebc07de8beb805c99b96748cab4281f8a5715e4f34efe6576065dc","candidate_id":"sha256:9f40842532481322951ee775a927b335c3d5684b9491558d715810b1ed9d0500","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (4, 10, 2, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0bb8c2ceadb86048e51dffe560311814382b55b29687d5acf11b73695642a4e3"},"sample_id":"sha256:1eb42cb600bc0c61c0844c4ef4dea4d97a0fbb88833a35479037408bcd1ce066","source_transition_ids":["sha256:e78293c3627c9b98e7088af1e983206ec305a900481e94d50d36282483a3041f","sha256:75161d133519d0fb1c5bd43d9d411c386b294027cc639709726a5186daa2781f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000274","trajectory_id":"vlr-formal-v2-0000274-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a53e998daec4ec1bf210be414ccd992963b025d570d3a53769e247eaaa8acd78","candidate_id":"sha256:927562aad8b8a2c3dc4c73df954be551f69c30a26556da1d31842e60643c55af","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 1, 2, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9a8d0cd0cf11321665081158797e268a104c8e2dac11b281b6d2beeb6915320d"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:09d28436eb23bae4d4ef95eab66b65d353b007e84c8dee7050d3bdb52577938a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 10, 2, 11)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:37df1d63529e928317d71b05d67c3132d937eb39d564d675774907b2dc8a6692","rejected":{"artifact_digest":"sha256:9ae24edde846d506ee361938d8ed4cf99cac91fd34b7ce616bef09371d1bf941","candidate_id":"sha256:e37c796659cd8df7a9362d6ec510063940b8cf3707f3d7994e755b950331a0c0","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 1, 13, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9770ac6f2b42c0516509cc41a0273d27349c0b61d3cb9716a482b8fe609215cb"},"sample_id":"sha256:d040c9a6b18edd0037ec604e8aaeb83cd16b57f4e3972ee05ad30f6d5b2f3744","source_transition_ids":["sha256:87b557de51f2a1775474eef134e29c55e688953c05427e16a9719c3b84effa5c","sha256:9467f01840a18a08abe0924bc8667ae461c2726fed7bb09b04ca3ac1b6a251fa"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000274","trajectory_id":"vlr-formal-v2-0000274-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:86899520d635bb6f7d92e622c8cd5891c3a45a2b6aad2ff1497a9bf0e7cd07ae","candidate_id":"sha256:9e5613c7f41cde9911aad477ea3cb52759901ec82a9bad47279e1c6a2365b1d5","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 1, 13, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8b8138f822030a6c8b53dcd2f88882ffa1a0ddf78ccc6e2104b6b03383caf511"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:927562aad8b8a2c3dc4c73df954be551f69c30a26556da1d31842e60643c55af","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 1, 2, 11)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a73a2963fa52fb26b5ef018800edd398fd725af1428bcc43ee6338b0a755a6a6","rejected":{"artifact_digest":"sha256:0f647857a7aca7a8a0d9317443e2c3785640ea98c1e86924cc094fc260432f23","candidate_id":"sha256:e8071266884ef4e3b29cb1cceb0cc8daeb77dbd96ab28ae2d2ef1bf272dbf123","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 1, 13, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2f7cb43e59b77282c02ae8284fef7f7b7f215c31aed89f15df10ff4fb5c74aa1"},"sample_id":"sha256:4045df396759408af447e53c0cd3460585bd05097f6b99df2ac98364d42b612e","source_transition_ids":["sha256:858cbcc13b45797d90639e01cbccfade993f8d879e995ca5749726518063fe63","sha256:53fd44b218f34ead699bf1a659931f80ba5ebd7e4439f9ea6c399e32e94c6a49"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000274","trajectory_id":"vlr-formal-v2-0000274-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:db558d52b2c0b57dbd52d6a2de30205a8955ca1b6bea1274d0768f4a02a88f94","candidate_id":"sha256:255ab3d21e8583451972e60226735edba61d57261b7f98955cc8dd1ca90f9fcc","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:0fec9cd53ee46a0a548cc55c40b28dc792cab416c6e20c5b3f320d3507908e60"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:4c8da89b8c9c972e71af7f79691ad8696a035ec91248159a5e61eb60b5f7a48c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6e2a55acdcb33476d103059d6eb7142913780ac77c266b3260745f66a48e0212","rejected":{"artifact_digest":"sha256:9b4eba248c4646bba1e0624babe8f97d2c1f8cc9702a30fd4cee08d273465f47","candidate_id":"sha256:1781da8b74ce4e2b91085f6008fe9fc9e0d263a74d30cca0dd797536fff43a30","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8d9d7977494cf3ae4653871213e8ae1e07bb9fddcd20f4552c4a1f3d048e8de3"},"sample_id":"sha256:4e7412a76446d052ecdd9396152bf6e7f2b4103e444a72059e47b033cc69487d","source_transition_ids":["sha256:f1116022daf540cb8924b610ffce7aa259fd8b237bdb593eee8d2de30d621461","sha256:9b218b375de59570ec190954e736d57b659f347f9b4ac9d249a920c177cdf08d"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000275","trajectory_id":"vlr-formal-v2-0000275-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8823ecd7b66315ca4b409e8f655903b16ef2a8a399b25b66a50f19f06ea2d06b","candidate_id":"sha256:2080a853a64a4baf22bd7e3255add919a1a9d2ae651c74bda828dd82429e68dc","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 6, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:26c49c28182cbc5c0aa7e2ed2d1ac8c33dec0dc789fd2780bd050fc8dff11cb1"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:255ab3d21e8583451972e60226735edba61d57261b7f98955cc8dd1ca90f9fcc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0edd9dab9fa3d1cca2951770764eae7822e4e8f15beae729d655939b666df075","rejected":{"artifact_digest":"sha256:393d4e037ea67e3c36df30cf98323fb8898f12bbcf3c58f3edf439c4827e0640","candidate_id":"sha256:c9b8db4f40c1cd5e41cd744fc98a7cbccb9607114ede0ffb68bbbc20ba461955","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 6, 6, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c4c8010f3c4368f493fef8054ab36cd71728ea695d05da6b0bd99012f4432328"},"sample_id":"sha256:cdcb8dc41588ca5229cd4655012264300840cdfb6f3f1fc4f4a6988629b7b5ab","source_transition_ids":["sha256:4b2551735032d78c0b3be924c206d9205a080f873afc865945d12f21fff568f0","sha256:21842b6e5aeeaa38cfa83766efa7a04bc6f01e4ea5bd202c49982e2df81d1869"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000275","trajectory_id":"vlr-formal-v2-0000275-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4d56a95e48351de3910387e09996e5f9ef17f4ffec212c68812c7ff2d0c46ac3","candidate_id":"sha256:07183283a5a201d6201032f525f0781a595c1d5263743716389c2f568c7bfe24","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (0, -2, -6, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0fd449a36f4d1ce7d56df731f6145dc4e0633f9c4a8086e8bbeb570350720286"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:b2f230605f1625642afa8009bf0eacfc2d5234bb25167228952f98a7f0842189","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -8}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (0, -2, -6, -1, 7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:05c6a7ee0f7684e279c7cda57705e39c7df7c6966b9457d77edf45ebf7f8183d","rejected":{"artifact_digest":"sha256:70af3fd8f3f8582b8d6bd929a345bc97800d91539847cf66b07b4d3dee0932a8","candidate_id":"sha256:7b2e4df4fd7f75e3196dc4c32a69d1cf47a218f452a50fc41f371f947a7e7cd1","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (0, 5, -6, -1, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ed5f58debb03e1c386e164d80a4506c6acabc823974df462a72b7475e8786cbb"},"sample_id":"sha256:15c65959f6362095032f489b11b76c9975f61efa250ded8fbaa46311c98a9399","source_transition_ids":["sha256:d5015bb984009d4ff1a4142ebbaa334025ee0066b018d7c68f5a0f328961a7d8","sha256:ea049d8714270d190f1ad8f91cf063da42e1cbf7353c96280878315dd0670cda"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000276","trajectory_id":"vlr-formal-v2-0000276-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ec16db8726a41a5525fc7b82ecaab9df5d5a8be13bc13a7c3c0e5d86ce0dc63a","candidate_id":"sha256:4b35696384c674be3a7ed90685dfe2f3bd4e98ba462b50079c8fbd34789f9bb1","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (0, -2, 5, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5593b1ed95c6e7ace631e9b405accbcaed58269d9067c133c6f5eac31a24b40b"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:07183283a5a201d6201032f525f0781a595c1d5263743716389c2f568c7bfe24","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:6e377c8aab3cd023e2d386f0216acf9107d079d847438706c4e539e8162d97ba","candidate_id":"sha256:b6b73e70ec411f87394283735d98ec12da5098a4a10130fc77283ffc23687145","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-8, -2, 5, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:99de69f9ed40af0d1ad5cb2b9fc6bf5df5f46c3b2023c9f2d050d5cab9b32f8f"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:4b35696384c674be3a7ed90685dfe2f3bd4e98ba462b50079c8fbd34789f9bb1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -8}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (0, -2, 5, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b8defb182af25b4421dea076d8d1884c0124230ee369498dba06f64ab44f47d3","rejected":{"artifact_digest":"sha256:2d92d349aa1f45184af5bf2be8827f2a4d28333e6b57d588474fbeaaa5589dc0","candidate_id":"sha256:2c307fb1c42aa951ae53a4c4e036bdad39b61242a9553a68f737687ad9e6751d","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-4, -2, 5, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4b447f7b38939fdd29a23cd73deddf9901539e90394bd8d1a65ba57a8ad8867e"},"sample_id":"sha256:b2e9cc4cd3a50f443a46bf5fd7abfc76f6ac4be861189cb8ecf6586535d9cad0","source_transition_ids":["sha256:0acc8f9cd9b5cefd4b0437c7014dbb5b199aafd68b4ab4aa2a721fb93016c4c3","sha256:4cb7e800dc9adf5b45cc1eb5a01195ebd01a5633ad140d1c0e7e8dc243d43d2c"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000276","trajectory_id":"vlr-formal-v2-0000276-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7e59583ac485934a1f37b9fac395c8ee5bbb92e3973ab22edb50bff4deffebe2","candidate_id":"sha256:bc16b4cea20401cacee3c4d7278e07c700459dae0e5a32a6c941e4c1c85d78a6","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, 3, 8, -4, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:6be56e029ec7fd53324c6447fa3f4436b814b153dcae8958e660f627f5d3c1fd"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:823f6b369f71ce5293881a631ae1b1dfc26d1bde0a5207e8a5086186ad58881a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 3, -4, -4, -3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ee0dc9aa3b9fa21611f9b17073569f33b8880fe8a0d86bef49e5304b142aa354","rejected":{"artifact_digest":"sha256:5975550b8dd5df89bbc77745ea6e42b168afc643c448f61d846547d4e9db9ef5","candidate_id":"sha256:5d1d40724ef0fb79864fb2ae7e38c595b4ea4977034ca78891e278499ec7d452","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, 3, -4, -4, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:09c4802454f5239fe89e3463746d42274eea0c8ff46083f3123875840de0ed99"},"sample_id":"sha256:c92faac139a1bb8e32879126568a7f106a577c03fff25ade87cfcfc6709e9160","source_transition_ids":["sha256:24eff93d1e7d2915d9baaf557717a738980389fb2c6a9ac35bd29526fa216ede","sha256:40ed4bdaa91f9a8ee77b3b15184ed1abdd6c792c4cc25ea479f6308ba97d6e36"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000277","trajectory_id":"vlr-formal-v2-0000277-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5e28f36603812660b23e77caef3f0b7fcb4bbca38b97b509e34ec3dba1b21172","candidate_id":"sha256:5e388f8e829dd3e84ed9ce84128abcd88a9fa32915585dbf9a63e257fda76705","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, 3, 8, 5, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:16836c940d6e703865392bcc9724942067ddaa869a2197358f44554798d3c6a4"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:bc16b4cea20401cacee3c4d7278e07c700459dae0e5a32a6c941e4c1c85d78a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 2, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 3, 8, -4, -3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f1efd1e7b034d47b9f2ea052f1794751c3b6bbe702c45e7d44b74c7cc0837143","rejected":{"artifact_digest":"sha256:42df8e3cd62e9f7890d7f72e19e4e54ffd28a1eb9913466daafce8423fe31e46","candidate_id":"sha256:f1388647e942ee53f14226a1aa945812710588effa1fe4ff4b2edc6caedb7b4d","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, 3, 8, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:62b26c8752eec550daff1acaf52345db0341f2be990b95db7aa9d2c00648578a"},"sample_id":"sha256:4ef98116c9520f38eeed307ad56121788348412cd27940bb5a64190892f6e0fa","source_transition_ids":["sha256:cbd155f9d728625fe5dd946136bf9904bb41d1140503cd610abcec53bad3bce8","sha256:65ae6b39840477948d634ce82e471eaaf58be267a1670ba442b2fe4a0735eff9"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000277","trajectory_id":"vlr-formal-v2-0000277-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d5b6bd90f549a051bfaf0fe8642f07d917afa270761acf9414fc4e894b145ff4","candidate_id":"sha256:191a76eb5b1934340ef4d762db370fabc260c1d8c5823104c31c88e603cae869","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-8)\n    return x + (0)\n","verification_digest":"sha256:6f9d98985dc92e135023cc280d71881d3773f143a61c455a5e757b264e36837c"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:f4704d46d1a1568da6f6345ba66c1b5f5bac05a7c2b96d32c4cb4b0a9b6a59d4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -36}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (3)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-8)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3d9703b2d66791fb6ccb6c7f0bdf80830d9fe21cedd58e29281a12060d29d6d7","rejected":{"artifact_digest":"sha256:68ed35503026304e4e635b54ce7b073c699ff6ef161daa4ea738d8e9183a57a1","candidate_id":"sha256:a305cfb5f191f01820c51c384ff699ab140b5025271fdeeb0cd44c6d132f6c04","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (-8)\n    return x + (0)\n","verification_digest":"sha256:fa4292cd09df3e01b4be66ad107b73a6446c9b5e23978ccf9d63389e1e9d3b02"},"sample_id":"sha256:50fa65bbcbabc0b95ee3e8f75a3f18449ee61d8feec9b7a8fd19cbc2bda7eba6","source_transition_ids":["sha256:a5c267d479b9cbbeb4e29ff8ee6824bdc9276a16d794883135ddc076102df855","sha256:a6f8f144b4bd763d9227134ae924b1474a8f01c76056b6f26a5fb2668c4ad7e2"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000280","trajectory_id":"vlr-formal-v2-0000280-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3d90af620a139af5c5e9c79c1a14b757a7e049314b3b445443ad9a00a899c560","candidate_id":"sha256:553cd42f16109c1558aeddd5ad25263eb9f71bf084ded75c4fe8dde1e44f7ba3","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-3)\n    return x + (0)\n","verification_digest":"sha256:559aa3d041736fe74db73af197ed21683e8c908985bd67359d043cde40ad3621"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:191a76eb5b1934340ef4d762db370fabc260c1d8c5823104c31c88e603cae869","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -36}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-8)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:42d8ea48b121c8a62603a9ddf5c376997447cb5326b53aca8384c9bcd646a5af","rejected":{"artifact_digest":"sha256:586f2e24fe490148405b4a33e078535836464ec601788062efb6791a0f432693","candidate_id":"sha256:ad312f06e6b9663a21f40507c0005773c06b5fec12499db0d6cee179a34dd9cb","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-3)\n    return x + (1)\n","verification_digest":"sha256:f810419f6eb05ca46c48a50240fc915b39b3ba1bd74b9e28e2ac5be8149744dd"},"sample_id":"sha256:1af6bdf0447e90eaf3074e9898c942be5d8458e203e368a824e6b8332dce0129","source_transition_ids":["sha256:dc9b342f637b5b2b45be0a7537b320407782e19299cbd5bc4022cdcf66725bbf","sha256:b6b3556ae46217799e56be4403576fbe56d1bae4391239e34feec81057e718c0"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000280","trajectory_id":"vlr-formal-v2-0000280-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5868030df166873f44a3d3253a7d3073dab308836adc72f0b24b1d0cd549bb2a","candidate_id":"sha256:9d6dd9433852877fb35e9a37bb61a153605d4ee20bb25cd13495bfc705387695","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-3)\n    return x + (1)\n","verification_digest":"sha256:8e6ee7c9a1fdb4d3aaf5856530f73a8d4d2b62be849557783016b276b34dfbb8"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:553cd42f16109c1558aeddd5ad25263eb9f71bf084ded75c4fe8dde1e44f7ba3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -36}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-3)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b8c2abddfda27e68760960da459bfcf4ec855fc60535466767b5f8f910b85cab","rejected":{"artifact_digest":"sha256:2ddfbe8b125423464cfa7f1d819d626e3d434a1b889b0fc89a43873517af4df3","candidate_id":"sha256:f79c4a00e1d277bd9533df31342d39522bc6cabd54fabcd77b9c5942c9ac6467","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-3)\n    return x + (-4)\n","verification_digest":"sha256:7e0684562f1bf01fa2a252f43c90971d2812f704e6a7f6555c390134b9d473cc"},"sample_id":"sha256:0034f8202f36813b741a20d54176e9c7587e039799bb0720833e10b1a9760bd1","source_transition_ids":["sha256:2d25bcd554743fd5e9a0542183a37bb01d575a2c9725c777fd9aa7f1d68d580d","sha256:acba778a9abc21fccbe701e3330f7af322a9163925e422e822d2ec5cbb810f0f"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000280","trajectory_id":"vlr-formal-v2-0000280-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cf2865a2e1693b7ee3eb1cdd52785387f48b554fa89250e6dc7bdaad9216612c","candidate_id":"sha256:dc3565a555e5370ecef0d995b4cbbc447ae86e1a6ca8d4c5ea938e1571023573","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, -7, 8, -9, 0)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3bf202eb2cd2cfebbedcde7db59917ae47ee7a55e700354df449ff56b5d10357"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:b4c86d525028975fadf9e5d820ffb4e84a9f7cc3eb6af1ce6a40e8a4ba55cfa4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -6}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, -4, 8, -9, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:22be5aa0f1347122373c7bf02608c25347f7d5ebad05579bbb503193c9399dca","rejected":{"artifact_digest":"sha256:7f3f0b0d300536af6cbc3241fe79d2e60afa9754a55ee61590b578dc924df506","candidate_id":"sha256:80d0a21d93dea33fca43223ed483a840763ce71a25e6fd175904b3b95c8a06b6","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (1, -7, -6, -9, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8f01f1da37b9697065f53d439e99f9403d6df7ce588c72b82c4d8bffdcf804da"},"sample_id":"sha256:fa1a17d01893df927600fc24351f361b1f573a13462b4533c5c3e733372b3568","source_transition_ids":["sha256:551689286d7dee520afa6794be7b7546ef3793ec0bf83f725a459f604196920c","sha256:d96bace079c2601252da5cb819627d85f11c7badf07cef6183fd72c8599bdbe0"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000281","trajectory_id":"vlr-formal-v2-0000281-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1971d3b0a7a6ffb57806e77173a68a84f61d8e6ebb4f8f33c6a31c54edfaee79","candidate_id":"sha256:136a176b68e18819c7af940c7b3d51c462a85724ec85223dabadd8726bc5c80c","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, -7, 8, -9, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:452ac4f20c52fd64e43f4515ba92c92ada367663a650dcb648fe081811d7952b"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:dc3565a555e5370ecef0d995b4cbbc447ae86e1a6ca8d4c5ea938e1571023573","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -6}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, -7, 8, -9, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9c973ed4874eb019d64b06f969bcaa4da52d610750f606275ca6043ad7fdf227","rejected":{"artifact_digest":"sha256:d4d72054a38769a2384d82d9df6cf6424269e8777edfb71f4bffeab619ef21f3","candidate_id":"sha256:1164e3f1ca8cbb2282a5f724ce1de20acdcc83abf88cd6869713d50eef34b66d","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (1, -1, 8, -9, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b8e8506d6613b48c830890a9e715806ee082e69bbe9c752573990e8a539e12d8"},"sample_id":"sha256:3ffba075f03044485a2db38745d49c3d252d579ababf7e8b39a098f5e8cc76a5","source_transition_ids":["sha256:c67bec91361030051568394fdf7f8692d2c4c405c9fe3f700a773466fa42a675","sha256:42be31dba97983a0e6429de6f7ec8308f3987275a280342f5b692b2c958a41a6"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000281","trajectory_id":"vlr-formal-v2-0000281-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:705d1545d8b124e9214246cc0240544dae2df2eee12fbb7b7c649fe37eccacc8","candidate_id":"sha256:468f3ab44496a97d704e8c4455b1a2e03eec8d6d64c2cd6ecc022a74231b0b01","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 5, 0, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:610144007cd473762a2dbbaa91a44b83b1d2ee80b0b18db6df9ce9e489d7fb4f"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:7cebce4625017cfb095c87c1d5212af11ca6bd48af867acb4edf28e1106971c5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 5, 0, 6, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3b0d749e5940d5e4214ca2647cb0c9f15b3cffbca04b9f60bfde5b1805b7c21a","rejected":{"artifact_digest":"sha256:9625554a766958e66985a80f0111afcc5be53085322e1c4ee69d5d8c7dcd0c5a","candidate_id":"sha256:39177e5e1fe568386b0c63f055a0694e3a1efd82b545fba139011c135cbde07c","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-5, 2, 2, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:264c30f062a8e289b7d7cf1043e5be0f9649875d720eb8ef036b91499caa26f9"},"sample_id":"sha256:9865a171e2567a89618ea1ca20311bd28d9a19cbba86408d3021a8c541cb0eac","source_transition_ids":["sha256:83696879c44ee6d31d59ff9da65bb2428089e87789a4edb558dd6a0d9df0e314","sha256:b06f915afc2594ab7fbeab362c24a8e61221c477ae0814a53cbe035a47548f6c"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000282","trajectory_id":"vlr-formal-v2-0000282-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3c5fc00e377fbbbd24b8062e1fbfc4cf0fc2d599bc71e64aac12a4a12a55d37f","candidate_id":"sha256:19e811617a1875732a10a7a4558602df2ddfce2eb8fc6d6454ff33224067699f","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 5, 2, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:985f7ba57cc66fa058955003799dabac0b663e5580aa55d26fced7ebab5dba87"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:468f3ab44496a97d704e8c4455b1a2e03eec8d6d64c2cd6ecc022a74231b0b01","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 5, 0, 4, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1a78397ee9944a53d4d51fbf5b95c02a924e3734aa667965f240d83b409a2c79","rejected":{"artifact_digest":"sha256:6a74e5d78ed08bdfc82db65a1a88de4c00fcc35c142e707f32d68420954c5d81","candidate_id":"sha256:3e89ee02bea23b443d21c48df6d7378f0a2c0dc92611da0e6cdbad9e71d66f01","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-5, 5, 6, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:613199ac32a4a6668309c7bf12222b21d7e39b860d3a0f895a13f202c45b4b63"},"sample_id":"sha256:4726128133ccbbaf8d048f6b02bc7c307229025d76bac3f68f940b4481e66da9","source_transition_ids":["sha256:7f085532cfbd95afa3578bb986c9e5bcc84cebc995801a3799b2af39a50c6f98","sha256:5c2221380698622bec48570d6effad6d7dbeae373147bcdd6dd6b882d15fd3b5"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000282","trajectory_id":"vlr-formal-v2-0000282-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c652808bf0374fa749a47537c8c13fa7ec10aa6f42694856a55d3312db4820e9","candidate_id":"sha256:4640f0f69fde6c3ce9fa070ee9b548d510a1a5cf50c6838c72fc0c523c383f29","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, 5, 2, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:36aa03001f8c87ea4ec12be7b02ea11966f7daf0833e7211d4622158797b8ce9"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:19e811617a1875732a10a7a4558602df2ddfce2eb8fc6d6454ff33224067699f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 5, 2, 4, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7c575b0697d1b9442483423003a51d226399f1891fd97dedd76adf839a190ea9","rejected":{"artifact_digest":"sha256:b0532b788abf7ab9ec5da93527e6f1137294a0197bb293293237b694f613ef42","candidate_id":"sha256:51f5376d54c217376e81a82ef4db7c4f86d9709690e1ca815e14ffda634a1daf","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-1, 5, 2, -3, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a136f370b962ed2b79f06ca2a69d6470a44dced5c9e396ddbc027cc0088e508c"},"sample_id":"sha256:7d2d51cf2fad10f0a7a93747d13811c31262a32231af6d1c48b9b9617be43728","source_transition_ids":["sha256:c02f5595a74f2aa2865dd96f4ef3e6494d4446b2a79ff923211082a918482b02","sha256:8c71608c08ca0f67371c4906fa558620e2a39408173f19b58fc50a9f3840f81c"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000282","trajectory_id":"vlr-formal-v2-0000282-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:028733ade05c544a39da0e1876835714d45a0178bf21fcc845ee494e3c125c7b","candidate_id":"sha256:3b6aed64fe1fd7826cf4ba10f47bf0d2ae299f0e0e3cf9d44e3c8ac47ab2852e","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, 5, 2, 4, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:cd57649bd2f7d37384ee37843570e280e2d0d9766941bfc2c1947f626f5a490e"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:4640f0f69fde6c3ce9fa070ee9b548d510a1a5cf50c6838c72fc0c523c383f29","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 5, 2, 4, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:76876ac094d5848f46d2cb4ebfdb214a17719607b8e836c96b5fcf2571bda10b","rejected":{"artifact_digest":"sha256:757aa8198586ed3a69ef973c817215c4dc381bab80b2ef802193f17579cbf94a","candidate_id":"sha256:720fab874690d8c3cf5d46e2557dabc0f43205c1180e427e9338ca62d205c44b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-1, 5, 2, 4, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a86e29e8d1c1b1d035409f0d5d592009675290091228c214007ab11226725f1a"},"sample_id":"sha256:fe95ec50919a6a4cca59c0d71771df4275c197ac3b1f33d9c12cc7da08d2706b","source_transition_ids":["sha256:3e0589c04540abcb8701838a236b11221daeabc24bf7bfe0689e4c5a2771021d","sha256:d3a46ca54da414b23c51961ebab1b77535898003458ee54b06c94a48ee0dbf81"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000282","trajectory_id":"vlr-formal-v2-0000282-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:74d37e6a8a870ff6633ff87f41169130b3f1b70adfb1b0b9b9029ce03647191b","candidate_id":"sha256:50fcb11a53b595f4a1e76e028acd8e14cf84388203f5af6534c218ba1e2d4cd2","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 6, 9, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a3dc4d4a111b7fa393c8ad18dfcfad44826453a171c4d3401f9c64115aeb3a1f"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:44a18463f6c4d41c273d573a5ffc3f26242f64290b9160f0504d130604c266ba","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 9, 1, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:acea84f935fe6375cd78e5ca2ab9a2d54db1803f01138bc0b43f1316098cddbb","rejected":{"artifact_digest":"sha256:3159a4bfa78bb1b60919e86d669b61cd3247ed2829e8e1c3174d24d02dfbaada","candidate_id":"sha256:021aef531ad83f294e61d2e2212a4ef5fd8ad77136be131bb31a2f0a64660fd1","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":6,"phi_candidate":2,"phi_gain":4,"phi_incumbent":6,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (4, 2, 9, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:482bef3ff5d48d089d5f1bb378606d108c571adeb6ef9021c93267d5ded50dac"},"sample_id":"sha256:cf256de3569779d1187650574edaaa02215bbc504942164eec14ee313cae5879","source_transition_ids":["sha256:fedac201efb0cc7acefdd3c80647e6001e5b9d7b75029b57418d085702b30de0","sha256:c6d7b09874bd4cf3bc08b17b1c299bd9e0fafc4ceb697f1af20de36c7c949877"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000283","trajectory_id":"vlr-formal-v2-0000283-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:ef21aff7e613b007210530683a089917ab38522125e7f6f88e6deb078a1269bd","candidate_id":"sha256:e85970aa813cb5f3faa919c4ae211ecb9b5319911625ed0f32ce5a9dc5994fee","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:45474b88762d47cdd483b73242638669d3968197b7275edf45823c99894ee14a"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:30cc2751435804e5ac837a10459b7b0245af524018ac3da69e2b3b84cf7ce3f5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 4, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:35071b949ed4d6088f0eead0c78ffefe57d4bb364abcc5ddfdf50f221d85f62c","rejected":{"artifact_digest":"sha256:85e6b708f003de4e159b1f3e44510d04335a49e710211856659ae98b8fa90f4b","candidate_id":"sha256:a4f416b2c8db81717aac84cded66d9fb71c803b6544e45e5d31d84761a27152f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (6, 4, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2a66212d5eeff384105d2bb64fe4dc1a5a6e7386e1b6e08467aa0e1861f3cc0f"},"sample_id":"sha256:34d1bc3f34275631cd53778b73addcd5e921ffbfb36ab4464b2a0cefee3a07c0","source_transition_ids":["sha256:a3efbdfeffc45b7e4ea9989b770801b64c1c248d3325d8d700d04bf51b9e4bb5","sha256:b3b15058bd126b21c275f900cad6aba314ba86596ee51cbbd65b092d4767b0f2"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000285","trajectory_id":"vlr-formal-v2-0000285-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1366dba3dcb90f7f2300fc6143382ecf51a0bf469d7315f4fb0ac7591043d811","candidate_id":"sha256:f9302ba9ea3a4518a05a6af47f052a42c8326fae7765d1e4ae41437436a72a62","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e0d810cefa7c2bc01319c950c6d69eb28a8a32ee778d737ed2a2ad6d3b0596ce"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:e85970aa813cb5f3faa919c4ae211ecb9b5319911625ed0f32ce5a9dc5994fee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 4, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3fd1a9c3d12458471d20e517a40ecca070cb0e170d9d0fd8663c27bbd85fa231","rejected":{"artifact_digest":"sha256:beaca3d4c9a3b5ab507fbd0445c25844e83d8671d644616e6fdd61320a93d7fa","candidate_id":"sha256:f6884320b99d28e336cb0362e2b21cf5bf34dc75d11b802ab68d6703373d5495","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 4, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dfc0b35397c14a0f3eb476116c3e8c3497f9de9c9a7b92e309aa52947acee3ac"},"sample_id":"sha256:ec12b5b0d718ec05b10a9692a4fc294c724f45c6764729e8821bd98e02382e13","source_transition_ids":["sha256:2b6117bf0b45cbf2ea5a4a02afef514c907b39599b5dff5dcaf9c65b43862fbd","sha256:b3b69a0165a67d319b9c50a05a830e687f1d49995e808080464eaf71febbf179"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000285","trajectory_id":"vlr-formal-v2-0000285-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:68c042bcbfbc2c9c71dcab376745d7b6e5712b0d1c5342a0182e142eff7c54dd","candidate_id":"sha256:5bf075cc4345dd95dba6fd62185cf48977373324a7e0359426d1bb7fb1338176","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f7a80acc5aded88a21b02dfa7cb28cd709d9e83bf670f347eafd6cebd57f2cc3"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:f9302ba9ea3a4518a05a6af47f052a42c8326fae7765d1e4ae41437436a72a62","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e7c668593783d7ea73dacf13efbc60b716701e3a3d06effb74fcf906dfbc9751","rejected":{"artifact_digest":"sha256:fb16a1dc56d4fe773f1bc13398a3edd6a9ddfe9c1068cb4bac18b9acb8cfee4b","candidate_id":"sha256:46f3c77eeca4f9078a5cf98a7cc844984a272477c5021049a4e93c374eb3dd12","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (6, 1, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:38a701d4c83aab188761360324e2ab774bfabeae919e2cdeef9696278de1dd84"},"sample_id":"sha256:c0ef125cc1c67693d60855fa4f508d30587054181d85aef42b11df85a712562b","source_transition_ids":["sha256:95f2e9b92d2e427fa970cebc72c4183ce536ffdff42995cdeb58edbb4934e781","sha256:ea396829492243e29caee0482695c3062d5680b26892adcb779370b0a79c76e0"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000285","trajectory_id":"vlr-formal-v2-0000285-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:58f9adabd57b2c15c36bd9a32c88af9d773aeb38c7c7205bfb6f36b37ccbbd31","candidate_id":"sha256:134d3aa0df0d989db193d53b7c0fca3a781d0b252ef5aa4a2f70f9fc0c1db7e2","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8519c8ebcf25e1d8446a04e71f1a809404c64354c9fc8141ae70b30f5c8e6e19"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:5bf075cc4345dd95dba6fd62185cf48977373324a7e0359426d1bb7fb1338176","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:04ab99b6fe825c7639b1865a9bb687b99c86fd75e9f2a573635a0ef5523c43d3","rejected":{"artifact_digest":"sha256:fb16a1dc56d4fe773f1bc13398a3edd6a9ddfe9c1068cb4bac18b9acb8cfee4b","candidate_id":"sha256:46f3c77eeca4f9078a5cf98a7cc844984a272477c5021049a4e93c374eb3dd12","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 1, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:38a701d4c83aab188761360324e2ab774bfabeae919e2cdeef9696278de1dd84"},"sample_id":"sha256:041fc29b9af7d55ab70bb67e9d61b891921f043b112642c083d52617b070c96f","source_transition_ids":["sha256:a31e9bec154de02234e3748dfd25a85df7216bf0c0a5b0cf42ee960571a61642","sha256:f0e04ec06e2c373cb157cb09f80bb359b65d57b5c121045f13c7a9db8b9f787c"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000285","trajectory_id":"vlr-formal-v2-0000285-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6c718df0d1452fab4fdd31f6908056ff16ee953ee47087c42ee30d97db655db8","candidate_id":"sha256:8366df585750f5890085520c5c0daa9335a51eec2e04f814356a8ee37ee96063","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 4, 1, -6, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:57124c5b54b3d85e4babc4d4465ac69f849c9d7e16fb5e259a61d6dd78712ac8"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:48a62235aa1dad0bfafeb0d63851fa84a5c48083c8177c0141f78fe595fc3892","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:0948d54cb7a73bb32876427e987473c20ba90f44625020fe4934ed33088236ff","candidate_id":"sha256:403de5c667b4d75c99987a9e5aa599f634ed917ff7e660b67c6c914b7ada62f2","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-7, 4, 1, -6, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f1a5d9ac115fd6726baffee4d9e1c74a8943e3beb74e3cdb2df78f54965bb553"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:8366df585750f5890085520c5c0daa9335a51eec2e04f814356a8ee37ee96063","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 1}, {\"input\": 8, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 4, 1, -6, -7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8ad0f00b7b6b5fd7a254320e55798fe8dfb4dda0f6c8f39b1b23ff3d5c56c07e","rejected":{"artifact_digest":"sha256:1b755a7bd2db18aabba00864e6dc7b1c72814026b0071d047ff316f01cc2174d","candidate_id":"sha256:205e457956c2ece4343ec8b1063fcd1b8fa90349f57a7f06d3ce3af7f14ba440","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-7, -1, 1, -6, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cced85104ce8318402e55a671979942986f26d714b0ed53c858f7a751cdea21f"},"sample_id":"sha256:ea40d4cb116a10b414ae2800224f75a5e3ecadb019fdc4e17cec250c712ade2c","source_transition_ids":["sha256:db5e0f3b4675fa13a2558a76677979707b53dc64635df6dd3da53d1facf6eff9","sha256:5f480d8cda3a8c657a1ed21685998ee6820f25dd94f513870fb1838a843f3c75"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000287","trajectory_id":"vlr-formal-v2-0000287-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2702106a1a41e814a60284786667cfab8743d9e0fa7bc36a668add3753779cf0","candidate_id":"sha256:421a6f54e2e23283cd5228ea79fc385ff839e6b3c847fa5361bb1bab2ca53e12","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-7, 4, 1, -5, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9321b5002adeb2d7b9d0661ae4fa1a2e4e2446a2ad36b88492bced6d8be447c7"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:403de5c667b4d75c99987a9e5aa599f634ed917ff7e660b67c6c914b7ada62f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 1}, {\"input\": 8, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-7, 4, 1, -6, -7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:288348545129ac9ea85ad89f268345e5859617063aacd0d8c6d43b8a83b7785f","rejected":{"artifact_digest":"sha256:512580a6c80bb924f0b1b93156103f895b301f69973b78f2c0000a1410bd67ab","candidate_id":"sha256:331702a541c2dd180bb87cde39868ebc4bb6d51abfcdaff63e4125d9f7977a2a","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-7, 4, 1, 0, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d58376ba344a0290b5f958fb727a7ed457ff6382137c2e0ba6f8eb66b7720bf6"},"sample_id":"sha256:cb20ee438195973aad46fa95e9f5e0e2be357a3035ab5e600a0b19767813554e","source_transition_ids":["sha256:3168434c676158ea158594f10116bafd19b88c70e84818b2b15863b506fb2b68","sha256:4ea1486a1212cdca9e77b138efb2ff77d23e59f6c14d824c81da90b251c02a0f"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000287","trajectory_id":"vlr-formal-v2-0000287-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7de359926741850e8bd2c99b1824126cbbda5f922139ee343fba05c58bdc0bb3","candidate_id":"sha256:3f5b396f8a7091dcf84e513f017e90697508c859df6443cd3d94684c70dcd118","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-4)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-7)\n    return x + (-5)\n","verification_digest":"sha256:80e9a5bc1ea870fcabc787c33cf37719b02975a1287eb80c9aec5c778add29e7"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:7501899158b7ef5f211d9ce431b43a96bd1fc6744bec7675ef06236cacc45ef3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -25}, {\"input\": -3, \"output\": -2}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-4)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-3)\n    return x + (-5)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7068073f789b7d89b7ff30430e5d8f2fee7d9dab2d58569083e91d93a4c97980","rejected":{"artifact_digest":"sha256:91cc2005ee457b89fd1e9a391cea81e7ebc07ac727f885a923d2a48309d7f360","candidate_id":"sha256:8a32791323b01e1ea8a057edd12706985eb5ef2fcf6bd5000da1542bdefd2793","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-4)\n    if x < 0: return x + (1)\n    if x < 6: return x + (2)\n    return x + (-5)\n","verification_digest":"sha256:ab0a12829ac3045069e0e85a7e6cc981348818d8e15d8db6a1089c586ca8e9b4"},"sample_id":"sha256:2bedb7d9668e47f46c905bcf686b8f685cfbe1b2d8e8a5e07ccbb55806cca994","source_transition_ids":["sha256:4411502ba791962d1ecb9bfadb3e2bc539b7cae825eb36f7c521e08e3678e8aa","sha256:55f10abb8eb654c73161d4ad06172b67b7c74dc78f4118091207946fc6e1f829"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000290","trajectory_id":"vlr-formal-v2-0000290-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d3e9fe9380e202c5107b5d7d74d421b944fff171ca98f4605b82bd8fb008b7cf","candidate_id":"sha256:3534c57b34fecb31511c764f43e88b705f7504712f9d9bf3cc2139e81a54f257","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-7)\n    return x + (-5)\n","verification_digest":"sha256:fb18badcb72b2bb669e93be079f40c4de984e34c4a9322a60b29ad9a3c549f7b"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:3f5b396f8a7091dcf84e513f017e90697508c859df6443cd3d94684c70dcd118","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -25}, {\"input\": -3, \"output\": -2}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-4)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-7)\n    return x + (-5)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d8d231efa2a49e8538c5d18ced9753f41dca7e8feb4d9efde8c46aabe27f328f","rejected":{"artifact_digest":"sha256:2dcadef7464b62bb3735d8c0851a817d7595759264ffcdc457ed145246765599","candidate_id":"sha256:b8f9a9fc7d285db433f652f7f76b3c77a6330f13a12ef6c6afbb3f275f251e62","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (1)\n    if x < 6: return x + (2)\n    return x + (-5)\n","verification_digest":"sha256:0167a864f80438954ca82f924b5ec358054d0d90f459a55e67318a2ba9727f8d"},"sample_id":"sha256:6079d507d4109bfe6fe207259c669943dac2f346d4e812ef656fd19a4a1da44d","source_transition_ids":["sha256:158f69b2bae89e50677db7ef7e3badc4def061042dc18016fd5a6c835359af82","sha256:d59b60b5728d5309512df21976b0998cf2e861d0041c74fa6f296f78d1111d12"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000290","trajectory_id":"vlr-formal-v2-0000290-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1b1f6bc2e979717ce4ff1e1fc122c391c22101c58345dd067dcd5287b8a88b13","candidate_id":"sha256:40d73b3a7e5bacd00ca5735e8cebcdc59eef54ec5f82be2a2949646189e1f819","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (2, 9, 1, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:188c66f23798387c614458d20b549127ea1869d2483787066141e098ad6894c7"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:15117540959f6138852f4ae62ed6ff08e25e20aa8768dc7393de2f334e2ad5ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, 9, 1, -8, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2727a5b4c309223fa985f3e18f2f0173cae8416bcce26b47b49a3a5ea79cd7a2","rejected":{"artifact_digest":"sha256:4ff227a3bdce51581b1fb0403114775df5f15d1121acc1bdb4a22e9ed1053e6b","candidate_id":"sha256:5d740ccd0b534b587555f514d5805315bc1e6a3fcf4f90d3be875339e3c4b8a6","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-4, 9, 1, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b1cde047f1b6c5d3a611101e6ff311ceb603837a01f6f0266cc658985e656631"},"sample_id":"sha256:70fb5166131fb61d021294eb6da8fba033f5e835e0f3c568389f68072a7d8fa8","source_transition_ids":["sha256:ae90fda591fa3d64ad56989df7ee387130376ecead3a1cade0b4bcfd49ab96a8","sha256:5d1c83811a19def8c6267f7a53597d950cdc306ea91915918e70195f63524489"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000291","trajectory_id":"vlr-formal-v2-0000291-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ae4f0bb481d906c6a601d69bf70c87446c1ce43d9692f1112df50a12b5a80ec3","candidate_id":"sha256:a813dfd9d81e4a9d12fe09b5fb7d25d3fc9b0d54868bba6a0e71d17ab5aec52e","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (2, -4, 1, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:adfd8b23d85f109c284f75229e1081eb1414a5a84e609793e17007e10425265b"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:40d73b3a7e5bacd00ca5735e8cebcdc59eef54ec5f82be2a2949646189e1f819","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, 9, 1, 2, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:20aed1791d834dd8a97b7aa6d6360688b3ad2052869254e4492238cb90223672","rejected":{"artifact_digest":"sha256:725736e02978ef7688d118a02f0461a0d12757268a161522cd0cf847bb2598c3","candidate_id":"sha256:879b98999383eea49f18a1e9ac9de72cf82e1c20e3d5e05fb9e8acdc85366e28","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-3, -4, 0, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f55513186ceb77bec94a343f4da7ffb6c103ebb2ed78424c7d4ff28c43f0801a"},"sample_id":"sha256:d4aa7230b771e97a49da72a23e2e956196105f9fee3027d1a736cda2e1b1d024","source_transition_ids":["sha256:ad002f4d5756104ef52ace9ae925679f4b74d5e013e72a223cb26a17c6b9e037","sha256:e9a0f141c5e46563af5ef341847ba2f89bd1acffecf62a35bd93536235ef91fe"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000291","trajectory_id":"vlr-formal-v2-0000291-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:58934d7336a608e876c942904319ab0cb2b587c0ec84491220cbc9de35f18dd3","candidate_id":"sha256:3cccdd8eb61825164521ce6aa13d2660f5271cbb00146f6a7535e27ca08dba96","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (2, -4, 0, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:034894d39f2c09b48354914c6493d71b16ec13e1bc6f07dfafdc052354bed8c1"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:a813dfd9d81e4a9d12fe09b5fb7d25d3fc9b0d54868bba6a0e71d17ab5aec52e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -4, 1, 2, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:20be23a1dcf46f265904e68cfdfad0eaa5dfc9e730de3f06e62aab9f44efe0de","rejected":{"artifact_digest":"sha256:136f0fc5e7691f9221f5eed9b5a8f7303136f3b5ba73917f2fcc30b6f1fc11c5","candidate_id":"sha256:34c7a226d8bf0c7eb0cbcce90449925e9eef9cd8f83fd3067ee9756984086846","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (2, -4, 2, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:de4edda5e5f84a515410991970a4f25bea9c9ac17edc2ca76de4b995dc5f325b"},"sample_id":"sha256:8009cdf421e9d1859381f9a0ec63ebec507b21253b08a2ed4e996cb4de6e2467","source_transition_ids":["sha256:2e025525d9808bff96ab4037a5aefb24aeae332518e702f11a6700ca19b96647","sha256:92608835b494ae815210bd32c4aef4f09a7630475af9ec95e426d023c51e210f"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000291","trajectory_id":"vlr-formal-v2-0000291-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:13cc0f8f39602f0bbdb52f2e4048c5f6f3a95816f5378c4be540ef643d5cbc8e","candidate_id":"sha256:ce8e0d03b6e8e652fd0717db336d26b9c1cdff3bae11ef5a16af7f23e50e7b6d","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-4, -4, -3, 3, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:7ef49f909a3b9a2ea102a79befcb1ed0a45b417804c5ab01f26f51b38b34b2e6"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:7b37e9681c4ac202f227f224ebeac011ef02a8b2f1cfb24b1fc071f7bd79c501","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, -4, -3, -6, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fa79eed25623cbb9aa6429d1cab2e73fd7a306c5f03ea01d0b1e617820c0cb0a","rejected":{"artifact_digest":"sha256:25362dcdebeb5f7a83b0c7883061291205a4624cb5ac6e3c551fad42c4089ba9","candidate_id":"sha256:8eec10bc1b26d932cf196f9903daec3ae063acebad0c8c5117057ef7789f170e","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-4, -4, -3, 3, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b00a06cac70deba164e3d8d1965a3ddb77a601f9b128d38655d1771e177953dd"},"sample_id":"sha256:d2f475a81bcd39d91ce308d38a99ae58c8626dc51bfea42aa876cc771f6a8fe9","source_transition_ids":["sha256:8667094de7b5552ba9314bfeeab38436c02ba75ef91ab20341fcd0cb4a764ce2","sha256:d35505e4e1455ce6602f7e90b2c86b255b9fe7f31dd4d15d39f456077eeb6b1e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000292","trajectory_id":"vlr-formal-v2-0000292-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0e88062dcfe0e9819731aae02783994a15be88b6ab771bc60a5712d8da9e898f","candidate_id":"sha256:30d23f053265ad945d278f69e51eee2b361743f7cad18424e38e0903a22afbd6","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-4, -4, -5, 3, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:591d0d12ac42a9afc15f046bbe80334ecdcfb895297a65433a5f23cbd78e58dc"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:ce8e0d03b6e8e652fd0717db336d26b9c1cdff3bae11ef5a16af7f23e50e7b6d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, -4, -3, 3, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b32e44179e60cf2711ce71101e7dd9739d2084638d5b3fb652db460a24a7cb30","rejected":{"artifact_digest":"sha256:7de25e9cd14322719b8ecdbd494b252a68543a963704b699a89871abcde32c3b","candidate_id":"sha256:437ebd87cfa4594df42739ebfccba400cee268080e78aa3568b137b29080d85e","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-4, -4, -5, 2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f7ba6825d74ea3a2aa3ea9920d12723e7904a7154436500405ac065bcc659800"},"sample_id":"sha256:b9fdd20b4c3eefccb69cb952a2f7979ca840250ddf508c6c5627981ae599e1a1","source_transition_ids":["sha256:7ea9a80e41eda3b1411bb66bf7b546cbc94da54ea971d5f65d962de5552f67c3","sha256:cb2222e5f317aeb907c3f033f7d3b8715b501af7a2aba03c3476523bbe67af76"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000292","trajectory_id":"vlr-formal-v2-0000292-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1c5f5dff5759b8bb407059565c9486d304a8b20bae9a0406c37fbd0ba05d5a5b","candidate_id":"sha256:296e702dff64568bd0a045940a779343cec23d8abb70c97a3cd1e80dd1fe8426","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-4, -2, -5, 3, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f195168b18609f4b69472da5807aa29bfdbc3be7896404d0d3814d32d0981077"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:30d23f053265ad945d278f69e51eee2b361743f7cad18424e38e0903a22afbd6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, -4, -5, 3, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5caba8dd30dc2c0373da1361e0ef8c81f4155c5843e56049dd3ef9deb5c53576","rejected":{"artifact_digest":"sha256:cc6d2f06af9e52551360d190db23c9ccbf4f77e9fbc02ac045d7f58e7ecdc274","candidate_id":"sha256:5493b5faf265cd1752021d7a5a27422caca6cf1788db987ea187363087fb1db8","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-4, -4, -5, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:482a03cee2948338bc5ab413ec13b5a308cb579eeff9a226b1152db5b84bbca1"},"sample_id":"sha256:79ee285ef8f5d88cd17b3f2b1c2609dcac91046c9cb28ca03697b3b93262e656","source_transition_ids":["sha256:436e18430cdf886abc387da41b5c51ae43be5b63c5c47f731a58ece96eb69667","sha256:92478d19615011ff1c00d9d1215ac2589e1f8966d32cfd58ce5ac3fe2b6e1033"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000292","trajectory_id":"vlr-formal-v2-0000292-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5c8debeb8588d5c4766f57dfa20a5209d33ae5c38fd44fb1d5e5088c06f82027","candidate_id":"sha256:b91e13b57899ce24a8a2aa97856da8bde2b4b87e12911a1c429fe2040b7ca15e","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 6, 3, 8, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:497321a7974b1b0ab363ae2e2b52a9d7416529301698cc35937a91c86cb3612c"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:fa64a623835da0feccf10281c010ee2475768f8091c5bff00afa857d4bd437b3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 1, 3, 8, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f7824a6736c5406db219a84622b73bf489e10e4fb70109896547f0bc0c6b4311","rejected":{"artifact_digest":"sha256:e0f02e4dfcd8fc038a2d4a11d446f66e7e142d1161784011b51ebb00f8477087","candidate_id":"sha256:7bc85e6e2965ed4057a7596dab2f488b250a9e09de98402ca12fdd7199eee74e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":14,"phi_gain":0,"phi_incumbent":14,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (2, 7, 3, 8, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:18074511b2c10540b7532f7fa6c4b885a9727b031ad6f9c110689461eb32ebe2"},"sample_id":"sha256:73bd04070a0e69a8b316695160b7bcb9edfbfaedb7c16b3bda48e75e3767d34d","source_transition_ids":["sha256:f1372101f121cb2441b6e784fe48e9cb8ba29ab7c1f2bc6689a72041ba2a3521","sha256:dbd0956e3e9fa2783295718202c0bce5ede14f8ce803ebd9f59a4f6f86c0d6cf"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000293","trajectory_id":"vlr-formal-v2-0000293-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:af60b224401f40781801452037c35d1bc62102ad01ef2ebd2051889504e7956c","candidate_id":"sha256:2e89e00d5fa06e9c5f2d7234b75f61f09526db6206423d968695477d5b3d238f","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 6, 3, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:ff75626f5c57dfe6bfc0a985b28a561e34a3437d1f96d10732d290a59b52a581"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:b91e13b57899ce24a8a2aa97856da8bde2b4b87e12911a1c429fe2040b7ca15e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 6, 3, 8, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e198d7b7dd662502400af4a74b688d90ba1b30f0bdcfdd33cd1b160b4b09e39b","rejected":{"artifact_digest":"sha256:a122c964162b470b3fdcc59c50c7b10519e950d5e65ff787963791976007ffe9","candidate_id":"sha256:5cc1051f09d167dbc23977baabc56936609b447cf48ca29a3ad8c85083e7ce69","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":5,"phi_candidate":9,"phi_gain":2,"phi_incumbent":11,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 3, 3, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1ca98223303ff7439dd58d2dbf9d0dcf3675da3849c59c0a0aea99bcd98803e6"},"sample_id":"sha256:5309d7494cb46530c5308da7d0d9769fb483dde9677df5601f5f788a5ba1b83d","source_transition_ids":["sha256:44f8f678faf8a7df39ea891031f83f1723fe185a6914d11da606f3692d74fb6a","sha256:23b303441abc0de8c4fa3f007c1313aa610717d4467ea21b43bac78bd184c208"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000293","trajectory_id":"vlr-formal-v2-0000293-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7680e11fd3f0bbfbe378a7c81889ddd8f70eca9906b4cf98963231a3db757ef5","candidate_id":"sha256:1a1a1b65abae774e482b94f4cd10b1b6f087964aeb543b14c4e62dbc42e0e5eb","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 6, 3, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a6d8c77d68c1011ffaa43ae97ed537d35d14a6968516ed77e9c1299ac59c239f"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:2e89e00d5fa06e9c5f2d7234b75f61f09526db6206423d968695477d5b3d238f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 6, 3, 3, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1e843b8964016009a1d23efdb8fbcf3e16c74428c171c2fc2fc51ac3dc43103f","rejected":{"artifact_digest":"sha256:266696b0622f75f0f908b995aec0c92a17ac0cf1a6af46b52836704db45f6d7e","candidate_id":"sha256:97c988a2ab67e632f0798fd6325891a8b1fc89db2dd0d0439594ed1bfecb63b5","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":10,"improved_coordinates":2,"phi_candidate":9,"phi_gain":-1,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 8, 3, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:5106f7fcffd938b311575546f099ac8bd0240feb9b8e187b9ba1a1ba11ca70f6"},"sample_id":"sha256:a486949542d3140745b9abf42d63b08a49e4c58e7986fce50acfc82ec867beed","source_transition_ids":["sha256:20334b1665c0af205a39be268a01b6c223bbc9bf8c57895e33fc27d9e2e7dca9","sha256:28f5ad90fa8fe7db1279e335ff733210d6aeccba1f1c0caed8e2f707a5c93436"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000293","trajectory_id":"vlr-formal-v2-0000293-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:86397d1e4e7e30c0dbe80a5576caf36d2e1a451d5030bd045f45f4c6a8aba013","candidate_id":"sha256:3716a65363eadca25e213bbff09142818f2fe3373bd1ce3a5055ba26257d119c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 6, 3, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:63e1eac0d2641201bdb690ff7c8a98c0b2e9e6f264a46c412b95095ca57b48b6"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:1a1a1b65abae774e482b94f4cd10b1b6f087964aeb543b14c4e62dbc42e0e5eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 6, 3, 3, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:53008b82afc0e17d98895d3bec4e7dc701439ded2c200c13f9b71b69ccf67dc2","rejected":{"artifact_digest":"sha256:549b9eb05352a38af2c0bb54e276e5c7954e681e80927d6f80fd15fa62862ba1","candidate_id":"sha256:a4acd48c283ae08d6521eb0547289c6a916ed8887637c31d56a38729b9a6f6d1","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 6, 3, 6, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a1f331f668b2b1c30410fdad2bbd01d99223f96528c0cf50a708ca72c52ea1ca"},"sample_id":"sha256:5b44fde78bc34584165d117a245f23987529cc761dfacd27fa3794b465210da4","source_transition_ids":["sha256:1af87e15a10787efa2c9c2636b69eaf7405e0d99fc5e50efd4c110a97e5606ca","sha256:185c3558f01b1213c768412ac331c46be7174e612c576f5c100a6f7bc8ce03a1"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000293","trajectory_id":"vlr-formal-v2-0000293-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:40a39eb0c793bc44f06b36c3d5c3724f17c4fbb52dff9d058280b3838a44ed46","candidate_id":"sha256:903752b20e773be6f2f8ea47a9bb0d04275c7f644e0b69a882e1ef22fb27b071","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 6, 4, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:afb6dd80dd650f444bb17ba94b8b1fd7a55f0b10adaa90695b7d9978e2baab5e"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:3716a65363eadca25e213bbff09142818f2fe3373bd1ce3a5055ba26257d119c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 6, 3, 3, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8ed273927a065922f8bac44154ed05a4413a743288f86f13964376696ac1c5a1","rejected":{"artifact_digest":"sha256:ba2efb84bbc09fc65c6d93911db09d59aa7d89b200745fdd0d32680b6d396523","candidate_id":"sha256:e0619b4fb89057788a5a5541ee61697386a8e35a21f70447855ff623a161c60f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (7, 6, 5, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3c22d454dec6052ce12362e81bf0938556fb0aca10654d8d843535c57dba3d1c"},"sample_id":"sha256:fdee0ac16e827e8ca1408b00f5366d686ebf60a11031c13d8c1066c2a492a093","source_transition_ids":["sha256:f3c0318547f64eff4e874ac241989989411113d7b294d9990837c43631d9ae23","sha256:0cccb9e20f3863b506a88a69b44fd9c2733e2e4db791d118e683a6cf7df2cc88"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000293","trajectory_id":"vlr-formal-v2-0000293-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dc8ae843313c8989650738ca44177a4e6ee9342f60f314a72062816dc8b80b21","candidate_id":"sha256:74efc98b9895c968b5cb1e663519eb73270531acba7476b6f1b91801df3284fb","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 8, 4, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:154cce3b9d1a5e9eb62d0b0ec04896d8defc1b35eba2d09bdaf6a4d12a3d9807"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b58652b20d2b11b051bcd42e92d96e64244a0741fd3e5cd48c9fa60513590b60","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 4, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a701ca0701bd714c7c601e6391a2504fa20f2435fab2dd296a67f841646b02f2","rejected":{"artifact_digest":"sha256:7f63eccbb94e8362f7e2472d21ca66d6bed4baae31d5e71f3408d40653ac0fb8","candidate_id":"sha256:77c1b38e81d6e6b7f5fef3f46d647c81617968c8db7bbf9aa87c02b486bb39e3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (14, 8, 4, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5545afb5180d55da5a238f4f4c50b7b9b8253e063bea07b2f158f34e92c6ca5e"},"sample_id":"sha256:edc6f31c654ea49d021e38248dc8771e416930729d5a2e0b95915b9813f06e45","source_transition_ids":["sha256:3d801bbf6516504be0992d86f593591c63b59065f593ab61eff44cdea365c7a9","sha256:ba5b55f1a8513a625bd1cb40011abfb8fe1e6799783d6331b2032ebd1dc96973"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000294","trajectory_id":"vlr-formal-v2-0000294-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:17df0f69d5fb8c518a6f4fcc93eb8c701f0d7367311bc85fb40908d883821b78","candidate_id":"sha256:5348af7bd4ae6d8d712794e94ef8473d92ba9f727399f6eb50d2659576b22b11","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 2, 4, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5296850acfc13292b4413926ff0fbfcbc4270be12fbae17588522b92c7bf82b7"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:74efc98b9895c968b5cb1e663519eb73270531acba7476b6f1b91801df3284fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 8, 4, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a3e2a253eae26cf6f3271ceeed443346d73a1390306c4e8bb7b87adbb6dbf4b8","rejected":{"artifact_digest":"sha256:6bde4ffbedf75b84a5f360ee410bd655da4b5b03dc8cf6fda7629bcf8e034016","candidate_id":"sha256:38f361264c75897517375e3e5faa1a055bf4dadb512976ad7e7fc69ba410ff54","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (4, 2, 11, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:32e4fd0031bb1b99584305338169a617a6477fbecb5fd7d492c4a1cbc7f37d2f"},"sample_id":"sha256:88b886193c6127db30a0510e48c9ade0e6bac3deb97380f1d1ba1a3c25de81a3","source_transition_ids":["sha256:34250ee44bdea845c62ef7ba9e158448759203ea286899f1d4bf53d2a4a86687","sha256:8e5ebb6e9c9b9b75edced4c5464e5230ccb291636bf4e4a804721b682d02cabc"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000294","trajectory_id":"vlr-formal-v2-0000294-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7f77e5b1e460d131acdfa280fa57d57a68f61b1396dabfcecb9c9a69dc1d4910","candidate_id":"sha256:bb3b60e31631ad4490d8f27c8d1a6fb55a3ce686540c1a7761f5bb2854988259","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 2, 11, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:6c26d18972876f8931e2cd4e1dd89e8b5910b73f7ab5039fd07ebc9383a8cdb1"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:5348af7bd4ae6d8d712794e94ef8473d92ba9f727399f6eb50d2659576b22b11","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 2, 4, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e5cc1f929a2ab615dfa41333a19c385e4ad80e479bef18767493534e9d91cb3c","rejected":{"artifact_digest":"sha256:7f60b1e817bd46a98132dae0c0a21e0c87afed8c4d287fe9c25bd3937865c236","candidate_id":"sha256:27b0ab774b508930ff7cacab8b578d08f3c502523c2b738c3b50ecad5a5f4616","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (9, 2, 12, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4fc77d7e7fd4c4cb8aa9826c79c0406d964dd488dda314f8369680c66d6ab735"},"sample_id":"sha256:2b8daa9e297c92cc569f31d2ffc1cc0f0b800cd1575a010e23bdc628181b4e76","source_transition_ids":["sha256:9c1e2389496c0b835fca2119f8c0e6af7849ebad3cc5a4b47570220136ac902b","sha256:88bb5324abcf240aef3c22156e6820dcc95ec0c40cacef265d7e14dc09cef934"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000294","trajectory_id":"vlr-formal-v2-0000294-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:803114953f6569cff1fed18768f61620c744921a8c06f14e1d2412386bf9079d","candidate_id":"sha256:e627f3a2b644f6f60fab59ad20613af938ef4906a43a569351288e87ce5848c2","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 2, 11, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c2f75740102f576c7c8ae34e8bc956cf1682fe69bafc3d4cc330c4f80d48ad38"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:bb3b60e31631ad4490d8f27c8d1a6fb55a3ce686540c1a7761f5bb2854988259","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 2, 11, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:32731567a53290ca1dd6bda078c32bfd175187c5bdbcc02600dc5ab061e3c965","rejected":{"artifact_digest":"sha256:31254172764292ca07cad24f0ca6e4eb0909392facc2bd25814e316baa90eb45","candidate_id":"sha256:4535ae1fa058c75a82746cca1759b52ef701da8b78b6b5b7a0ccfd034458617a","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (9, 2, 11, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:53dceff7042ced859af510e4671b7f860ce2967118cfd9c94945c81034c70b05"},"sample_id":"sha256:8e77a4c34e2e2bef8996a3551fc9d87ebff12dc80c813d5274f4b17c2cf0eac9","source_transition_ids":["sha256:ebd260b0898dc8de6d571609fba9c2380ad744bb44b2165a31ea922a01a8152c","sha256:7a13ad3d53b659d06c207e485999cbc6c333f28f082699245875aa2eb75a97a5"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000294","trajectory_id":"vlr-formal-v2-0000294-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c695057dffa3af61bcced23e078566efcf62b9e42a4d401bab560ca747eedece","candidate_id":"sha256:e0ac0fa6cb27d73d2d173c2de1fac8a6954b8bc600529ef43399d8003fb6b4f7","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 5, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6f5b1411ff369f840d2091bd0709ae18935746d12d79ab6909021f06280d34a9"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:b37200f19a5047de6b46cd3f5bcad378db667cea2f17f8cd5b3e831a91284835","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 5, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:12785ba71fa18742a9f0af4223650eb860a9816545ff1f1011c08477646626bb","rejected":{"artifact_digest":"sha256:6b161cfc4138efdd7580ece720f1ad1ec400c02332b19b2679363d79dfbc4a5c","candidate_id":"sha256:ba9546e5d157dff16394d3e7890958e22f199841e2125d55eec50718e5c2cc91","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 2, 5, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a92aeecd7e1f3fef304205d41f3981355a798047fdfd53790bb82b7ca88146de"},"sample_id":"sha256:f84a943822e885af1ac91df2a171ade03316f7337568f370454287c088450910","source_transition_ids":["sha256:011db24b0aca861c31de4ad00e07e1c88521d96d4f7b2e5c0dd795eed6e5f0af","sha256:685245aac591f71e4dc3419336958ead9e4cf1d088ea278af72a3a9d7ba58867"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000295","trajectory_id":"vlr-formal-v2-0000295-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2ed84b0d87f8ba0751f1705f345b89fb847b2d774e94c4359ee3895ee86b5e77","candidate_id":"sha256:98648fab41746346eff376ee54a6aae236e9409f1eed25640a12bf043bafda7b","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:67bfc1a89c0d81abfac0be87404c71119c606463577347224821c17b3bc3e615"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:e0ac0fa6cb27d73d2d173c2de1fac8a6954b8bc600529ef43399d8003fb6b4f7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 5, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0eab78f315db8b742dd653ca57067286b4d8fa648fb88a629a85f8a1519d996d","rejected":{"artifact_digest":"sha256:7aed194f1cac8b4ba7455e8ab96d29c0a2c5f77b334bdd7d5e47a1ef63ce24ec","candidate_id":"sha256:9ca5c47303c30b9a26ef4e6932bdf1974f32f21badf537c5c5c5ef1e481995a2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (6, 4, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:777b012943df566fc065ea4509412d162a771469fa84690af83ef8b710b02da2"},"sample_id":"sha256:77c833b5fc398f31cceff67d9b16ef5f27d77aa98250f24187a0bb57845254c4","source_transition_ids":["sha256:67ff837e20d33500c031912929308ecf3de64b2811d15b8425f7423ce14833e7","sha256:ec54737f7287b53ba2114163a2e2392b97967c19233ba86ea6874342ea72dd6d"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000295","trajectory_id":"vlr-formal-v2-0000295-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4ac492ff00b09c5e7c0d2765595edef58e180de1d08c1e4008dff216f7fda707","candidate_id":"sha256:bd17d6ba62006c5bc97454bd758735b4f45330d5c1dc4020bde2bd2228d236b0","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 3, 5, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a8b237eaaa3bb11f89c82f59f09c4d946aff7b4e53c847575eb6a91482adc567"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:3e883aaa369783783e4d7e4e867cc82ad139860f0075d47867aecbea8766b38a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 3, 5, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:615307ed35dae361e57fea99c536ad8174eeb162ddb09087c65397322f7bec48","rejected":{"artifact_digest":"sha256:3d773e6f0e0eb8b43c1b73cf1c9a8702f569a14eddf82314499c40141890b391","candidate_id":"sha256:b620cc8ab126e46121b44eb9ed015a2a2208a69a67f826b0e544e7673aa39afb","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-4, 3, 5, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5770acf8bb6e9950872cde02c27c7547996ce12a2fbc532996f4b60c44dced19"},"sample_id":"sha256:95a65d4c2fe94175eb3fd1fb165089e024ed69fefec2271f2b58cd77f9b5be9f","source_transition_ids":["sha256:8661a31651fbeb5a1a3be4149954a5b69beec5868fed37b9a40dc4e4b0c63d5b","sha256:2bb9f5923fafd7c1ba1de50d430e99d57ce7a00ae6477e6592959fee43f45027"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000296","trajectory_id":"vlr-formal-v2-0000296-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a166e0c2c15d619590e029bc7d809bd74d0986a6ed18480f3aea1b7585d2d939","candidate_id":"sha256:941fec26fc470d4ea5aa133365db7f1d564b6be04a82f7bcc3148f515cb05bb3","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 3, -3, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:133f48bdc6939bbd970be87db089fae445d81ab8b613a75fa8a99b9d56cba875"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:bd17d6ba62006c5bc97454bd758735b4f45330d5c1dc4020bde2bd2228d236b0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 3, 5, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:55245eb331c4998864390c2bdbf170faa8ab07aebef683c32752457d3943788b","rejected":{"artifact_digest":"sha256:174a30357325ee6cad82114825bcbf19bce4793be3c621474184bae560f77862","candidate_id":"sha256:e0e04a67c977bef9944b54ce4b78a2cdb2da9b7942b6864ed88ba6e6f85e3562","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (7, 8, -3, 2, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c1c4e2c6a2aab8d090501c2487f3b546fbedcc0145dffc7079193fa3d0580573"},"sample_id":"sha256:861dc0408c3f14ff9c0f22dfde1cb93b4e47d8934373aa0a8307daad67a31c03","source_transition_ids":["sha256:5e3238448ee00986fb737450626747af7d5a4afd7c48b0fb2f578a31920af3ae","sha256:b69ab1a36f941e54cdb706a31ae0964f93d24b15b68038904b6ba78984363121"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000296","trajectory_id":"vlr-formal-v2-0000296-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4f9d641ca671e998664ddd4ef1edf9cbd3cd47c06eac7ba2875d4d34e5041b35","candidate_id":"sha256:6b800b5a58431a9e555914a74e2771339a26cc05f2325c53e771d2062f020d9a","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 8, -3, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a13f29e1d252a1b38635de2a99f2d4636cc71595fef65d9cbcd48f99d585e68c"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:941fec26fc470d4ea5aa133365db7f1d564b6be04a82f7bcc3148f515cb05bb3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 3, -3, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4be9e26b27f22eaf94fdb217517d4017a16fe38f8f6c1b7421a111c48414068d","rejected":{"artifact_digest":"sha256:3ba88b8450f847ceb0a773a3dee8f35489baac3b08533bed9a28b959d6c1bea3","candidate_id":"sha256:11d2770fd8c8b1dcd5e7269c75ca9c3d6dd7502fb14f39e9b5b1f7f2e293ff7f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (7, 3, -3, 5, 1, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ad9a276fe3866e73755d7ca81dc2c5081ccb1b23817ccd23a7e2e90ba46f5dc7"},"sample_id":"sha256:57c051a9244fef3244e58737b5a4c2461d707b00d5a7d3ca4a969804239898d3","source_transition_ids":["sha256:55b2ce6a4512263fcecfb9ef0073e3972af32f70453b1f94bfc7196b5d00078b","sha256:8132120cd2135de5f37149d0b1791fd107f67e50ac8b3ea5482d2bfcad0de22a"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000296","trajectory_id":"vlr-formal-v2-0000296-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b31759424777fa83b2fb7a6460d287ba9429d2dc5159b5e79c3eef240da234f6","candidate_id":"sha256:19951a094f1e0fb83491923e6b5a4c72667044f9c528ca884b88abb8b1c219c2","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 8, -3, 5, -2, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:83eaee7b77c4f45fa9e6cc0ed915568e78f103b374965a0915912bf7a9712a2f"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:6b800b5a58431a9e555914a74e2771339a26cc05f2325c53e771d2062f020d9a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 8, -3, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ec5b67f5db4c8c84a130d7c072f792a49102ce83c9554fcd6297ad97619c36ba","rejected":{"artifact_digest":"sha256:8269eeba85882a0521ddaa53bd89a804e6353d3ecbbb4fcfd4360309665384c9","candidate_id":"sha256:bb31b87d3050bfc6d17a68567600834930ec5ce629df5e15d1e7241bb0cdc233","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (7, 8, -3, 5, -2, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:70a0a544a8ce0e22045c2bae39a3098df5f7ee456644d389e743270dea5633d2"},"sample_id":"sha256:e9ae69c7897e92df0a245779dcfb06a0572fa0f81773231ec4d7133aaab0c99b","source_transition_ids":["sha256:9f39c14bad16e32faf2375758d4fde4933dbda461261c7e3dc6ef5e69db131eb","sha256:3e07a9fcb42300f918d5910653add6b3ae44f388018ed2e29f2e3a9c11a2750f"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000296","trajectory_id":"vlr-formal-v2-0000296-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:371cef9396435f175caa16c7640077594eb34e36eecfe6cf71ef59c9123bf724","candidate_id":"sha256:d8ef417778c612287031865ea3aaf0fdff583067e0ee72bbfe79fb60e22ba4f6","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 4, 2, 2, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1d77eabcb6fe73fc4b531794b1974b79ae8a0e81e4ae4b764b01d7eb5b3f13f6"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:9e2948b3e0becd174bdcfba65f16a80a5d909af95a4b4e85d9c34e7fda4148cf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 4, 2, -7, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2aba605d48e668874d7797ef0cf8b56b885d6504d7d67fa3b2dfc20bb9da53f7","rejected":{"artifact_digest":"sha256:301adbb47643644d32a55da81a998a0cf8397467be8ee17174d15f52ac563ede","candidate_id":"sha256:720c4f22a50027670f1d6a8b339095da6eae6b82d3da6482692e5736d5f98145","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    table = (2, 4, 2, 1, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d168602584cbfbd44c9e78120c557a0dfc3809c6b5f6071c88dec525b7e85700"},"sample_id":"sha256:37d0854fecb61b8c590570b2b4b828e620b5cde539a8116e5fcb249a0b402d9b","source_transition_ids":["sha256:41291b638de754c867e5e7fb2a70d3bc8877ceafb1a98a493d28cbbdb2272f8a","sha256:b7271449a842b1c898de13061ac986d27a94a3960d4f8c711dcb15f877da9c5d"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000297","trajectory_id":"vlr-formal-v2-0000297-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4902bd768fed9ee0c24f5211598bfd61535d0ac0ec6e99e4ce1324ec65509e9c","candidate_id":"sha256:16c3320c6ee4d73d5a3eb5c043123c570189015b053ee79b294c9271f52d09d8","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 4, -3, 2, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:90969e33f676c348eae3fe1d1501e1b6381fb9bd05343402f2e8ee3487978b63"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:d8ef417778c612287031865ea3aaf0fdff583067e0ee72bbfe79fb60e22ba4f6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 4, 2, 2, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:16358ad80ee0e80c92dce44d28e4ec31df01c89bd234627f851b0267a65deed1","rejected":{"artifact_digest":"sha256:a7676179693e50c15d036cf4550eef10abe7aeb90f6e512dc8c1a061b3795d7c","candidate_id":"sha256:9252d913f3c9acd540cc1027c7f45ae9f1da71985adad97e00ca5a0acf1b3eb2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (2, 4, 2, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4d67c2961d5fd408f940bc5ae2b4b06afd541c9501b2dcfb739cc0a9d3ea51ad"},"sample_id":"sha256:698efe230c4fa7fd3d7f4271c6625ec579e9dd911a76ff8fba629bcd64937d40","source_transition_ids":["sha256:e3746768d15da22088f5aca582dbb1e381088b910fb55f2436728666b171b4e6","sha256:edc3e5cdfb154a992e9343dd1a46f2e5a40d028e1680fb56df8c0f441a0936b3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000297","trajectory_id":"vlr-formal-v2-0000297-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c8b7b142e7b93c4aee71147ca84611e2eeaf7125e51c2e37bbfc64b2e3ffa005","candidate_id":"sha256:d9a76c0ba374f34ec832510e1cde33b94f8d508c6a57c9ca6941759bdd8c2f18","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 4, -3, 2, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:74b790ea792f2ce6807e2e64dec0d685af863841e6d74b7b8adbdf945bb7cad6"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:16c3320c6ee4d73d5a3eb5c043123c570189015b053ee79b294c9271f52d09d8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 4, -3, 2, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:42c3c5093dc303fc6c2ca6d7dd4e5ddc45d56b525849a30e0f9610f9c94ce690","rejected":{"artifact_digest":"sha256:bc07b1490c572e879c45f3d549d555e11656c2757cc800b99d5c32e9d5cf2d3b","candidate_id":"sha256:a91265a6118e3cd9b5c2782dbfbde74d782bd26b3e6e267755c3c1ecbc694c55","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (2, 4, 8, 2, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7f1f3953ef8a5f9a914c7798355044277213bffcc5480c34437fc3a793ba01df"},"sample_id":"sha256:64c7cdaa6e3774db46152b947000b95f5776b2fff814edfb7fb0b2396418c153","source_transition_ids":["sha256:e3b8ca430548c7bc93fdeb810b38eaff819032ee852b774983c15704df2c9307","sha256:1a6809401ad983f0159ec074cbd1646a92d3911cac2cd30c687ad4e85438a4c1"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000297","trajectory_id":"vlr-formal-v2-0000297-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d12743e39ed75d67d25160cb209435962b593b1aff54759cfce0a493b9abbdbe","candidate_id":"sha256:11d8b5cc48cffc76028bb13f1172ddf1748564ab82725418d9c0b4be49e985ed","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (4, 4, -3, 2, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:79dc0a235e68a0a10ada5eaf4c44e2583980c17f9e30ce56cd7a5c5a0019cda1"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:d9a76c0ba374f34ec832510e1cde33b94f8d508c6a57c9ca6941759bdd8c2f18","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 2, \"output\": 6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 4, -3, 2, -2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f8b63f698c84c041f60e63071a67b7d689a48204c0f5bc1cfcc85205cdf7ef51","rejected":{"artifact_digest":"sha256:4da77824279583f04d13c346e23f74679f0953813c2451bf2c290e1ecaf07489","candidate_id":"sha256:f0f81d81c62fcf74c35d4560a6ad33e644ca1a2ce984de94ff6e192955cdcd85","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-7, 4, -3, 2, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4c61bc3302ccaaecd8e5e4375ae42d593f094b4ad5092c47a7d03458410062ef"},"sample_id":"sha256:b7452b547f70889a4e5aa8607cb56d1e3567fc2f1e310795042d5ea9ad9f5da0","source_transition_ids":["sha256:126fa8ccccb4b5755a18dd106064d1c9d33b42870e5bf964c61ab6df61139f29","sha256:b74a0dbb54b4b4688f09cb465a13e1d67053570fbed9cc830675deec8759f50d"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000297","trajectory_id":"vlr-formal-v2-0000297-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:27f0a6d7c0cc73fed2bcafc1faec5665063f6906b56c2a60e2e7afb4a8ceb924","candidate_id":"sha256:9f77d150c5297a3b6591ff2346b7037eaeb792ad140cbf762dfe64bb0aeb4cbb","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (7)\n","verification_digest":"sha256:ce8a0cf1dac2cd9f390c7b2e6048d5a786969faa648e294cbc9519d6650d4119"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:6fcf0fe99445bc5581851c3c2f1cc7aa41ca5cd2cf51bf6c15cad58431d4cf1e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -26}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-2)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (7)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4f2e3da974698e6b2dc70bddf816aa0e439e74057b6178daf1d43cdec6212b1e","rejected":{"artifact_digest":"sha256:9c08383cfb317fc80982870b2441b667ae30b4b3d77adaddc161dec3ba6c1f1d","candidate_id":"sha256:ad5985ee5949b53688538a53cfba6281d9fa38b26a6cc10f4d88e1816abb0a9e","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (4)\n    return x + (-3)\n","verification_digest":"sha256:f274fa613c676b4ce273a38b356882e5bc59fe9ddfcf7c90f9be77c77e179e9f"},"sample_id":"sha256:508ae564fd19cfb2e1c6fbde6707a97b605986615e3ddab6f8105a6465b21d3c","source_transition_ids":["sha256:81f8160b30f6174e0477189188370e5d4c5e6d1150048bf7c657d747d3fa90bb","sha256:d7fa3ff7ee5985e9a6468d054ad3a109b10df926cda15c89c88434d559469966"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000300","trajectory_id":"vlr-formal-v2-0000300-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5bc765d8a48371ee71bf10cfe48ad42cc1246c624534f6cf810e5aa04e23644e","candidate_id":"sha256:48e4d2369fbb3fbc04b8109db18d9e77749fe96b8c03a6db2048a0d834e22184","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (-3)\n","verification_digest":"sha256:c51aeee46b417089cdb3ef07c5a11138a74d820a0abd817c2a9ebaeec638bc7e"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:9f77d150c5297a3b6591ff2346b7037eaeb792ad140cbf762dfe64bb0aeb4cbb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -26}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (7)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:110d45d826eb3ef2746e6ef2600818aec2f098704f14dfa2431114b016fa8694","rejected":{"artifact_digest":"sha256:64a7134b657ca3e1565dafce8eaa657cda41caf6e55762e6d5b5d90992f230d1","candidate_id":"sha256:1eb3e2de62dbb961b5d27050a3fbb2de53ffd3afe8eb8c4c321fe168533ac0bc","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-7)\n    return x + (7)\n","verification_digest":"sha256:201863518763f6e7a1b114adf803392774b14c173f632d3c6542c7510bfa172b"},"sample_id":"sha256:3ea2b8dcc755ad5604d857697eb075d260446edbc6d69d195ea05cf17909939b","source_transition_ids":["sha256:aa7a854a3259d8dfc2c424ee0f0018be6523e60f9a20348c3efd7618bc7d5bf2","sha256:ae929af04c5641d1bee4052bd8f80ffa2889bf0e4fc8634dc563608127d8e7b3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000300","trajectory_id":"vlr-formal-v2-0000300-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:16a65883e6e004a5cd9e86619841b7f8a3fcefad65f9bda6d1cd36a8dd63a0b9","candidate_id":"sha256:0599d8e0d0cd82fe6e11cc4f36318d62c88545f403f90ea7c6ec251664d9705e","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (2)\n    return x + (-3)\n","verification_digest":"sha256:746b6e16b0eb8224bb9a41f9c68064089827cadbd98e65a54962467a80110b60"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:48e4d2369fbb3fbc04b8109db18d9e77749fe96b8c03a6db2048a0d834e22184","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -26}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (-3)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:794c1e3d6c54d37b523597fe6656ee4a72e3c43f9cf178d3dcdd61010eb51af6","rejected":{"artifact_digest":"sha256:9d425fceef1adc30c99a4b1b43f7617dad2c333b0aaaec2af2b61a40f7b41930","candidate_id":"sha256:265eee8f746561d30b65429871d30952758d8a6b84d0c05aca64ff39ef0143f9","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (2)\n    return x + (-3)\n","verification_digest":"sha256:fd7dd6869055bb1ff65ca9ca75659b99c9a45c643a0d00d8c5ff14061170bd95"},"sample_id":"sha256:17aee7d1becfe6f1f4716ba25f5672f3c2638418a6d308b670654c2d03709327","source_transition_ids":["sha256:5ff6253fa59e6804c251717316854a2ac1e117a407fd19544d921f3f034b6b14","sha256:57d2ec9c0a8f2f12c64cb68d104141306b2c9456489a0abc03b4b6a50b2e0890"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000300","trajectory_id":"vlr-formal-v2-0000300-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1e006c1a686f95a1871d9e82683bf744a876983f598dca16dd954973bc7d14db","candidate_id":"sha256:f1c9b2ed33ce67e6c7e9ee52bf10c4241f6bf03a43d94aa965b343c39c75d3b2","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-6, 3, -2, 6, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c720842b902b28298fbadd9a651bf8c35b25375ea3f837aa0b903f618318b406"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:5b9e05fae7d726fc5ba843ae1c4bedb2f1f7e92c88ba55d96df1dfcfb88231cf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:bb7080c8b75bf207466db49184488cdf6f925b9001da1b10932f9d2e151d8cd8","candidate_id":"sha256:4508bed5cbb8d4b9711cdeaf51680858e6f1691f132dbd6b2977b582aa345e03","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-6, 7, -2, 6, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b14b7846103d3881c516785117bf5162b6a433011c48c7b7f9c6944bd10798ef"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:f1c9b2ed33ce67e6c7e9ee52bf10c4241f6bf03a43d94aa965b343c39c75d3b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, 3, -2, 6, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f58e56f74f0df75e2d6818dadd1e55ac7a52d477cab866e4201fcade6b220138","rejected":{"artifact_digest":"sha256:95201579a530db608554f627f5e4b1393bdb59212c2291ba1eb51011d8927122","candidate_id":"sha256:7ab7227a0df68542dab48ac0e95d00eb692c9e245607c4005399d0459139a788","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-3, 3, -2, 6, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:37e1aaba6a3b61ed6be057d0618ade339ff205ae5bd64f07d219bf734fe9789e"},"sample_id":"sha256:2f44bcd3c6e8cf1a90e20e18138ea6bebf4e59bdc540fd18716ff3166dd7ebbf","source_transition_ids":["sha256:330559e15f860250d382eee5b9c5e81c0d35fdbc95615f6a70adb8e29326d014","sha256:951b650d0d964cd39306d5243b9f677ac4e4e50fb646a2f525e205a1b8b15945"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000301","trajectory_id":"vlr-formal-v2-0000301-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:3f23cb9492ffbc1d919178427dbbbd78437b39c84cad18def6b9982c2659591c","candidate_id":"sha256:3154e37465222948def2d09d9f32954e9abe33c80c94b67c0b3636d5f4b74fe8","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 4, 4, 6, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b32be99de86be114fe506dd8fc4fe2d639583bfe826c700a46ea663ebaea75ae"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:f424502f1ab2fdc3b071db681aaceafb46b19784ae027a3e5a300b709a3d805d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 4, 4, 6, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:74deac8280a60c2033e913fd2c78da71ccf7b08674344fe01c2efd909d678066","rejected":{"artifact_digest":"sha256:4ad18c5adc379c0c574000675f0d35e6c3d41115ac6119d73092298a84134cbc","candidate_id":"sha256:a2550b26b35b009614cddcf7ee80473a698796a291cc6b66eaee53b853c588d9","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":10,"improved_coordinates":2,"phi_candidate":9,"phi_gain":-1,"phi_incumbent":8,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (1, 4, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f9182fcbc4a0806565f982a0bd3938bb2608fba336a87df135b333c08f553802"},"sample_id":"sha256:8c5ceadf543f2ee7a800494b6d7a86c4c3a5a2615f4b5172eb530a4810901f61","source_transition_ids":["sha256:92d2d26b3c33b0848caaddcd5eaa2cb9bf496feeb4fa73b432d5b567bf9a28e3","sha256:b3b9d8a34eed2488a7665c0f7313afeccdd8e0dd952d9dfd8e50525069ad34bc"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000303","trajectory_id":"vlr-formal-v2-0000303-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:cad00634a1cf63539dbcd4ee31a3655543d92f85aa87cb1bfb5c254e5fae9827","candidate_id":"sha256:145b0f63486c1f820fa9aeb966bef76b78f1b87eb200a36159e1aab850ce92ab","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 6, 4, 2, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b7b57a7353dd1bd5a43ee157c45790c0da52c35a908b9aa3e44aeaeb7e2da091"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:bdabfa41a7e45ea5971bae64fae218b3a5d728c11ba82d8a68bf77909659e9ff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 6, 4, 6, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ca21a82bda35c151165a70f912a13f7fc269a479013aea59ec73a8213b5ea2ae","rejected":{"artifact_digest":"sha256:33d4180b2476b12c818bc1e08f0328bb0b84c7dd348217c3f425ad0b4e1800ba","candidate_id":"sha256:006b4b461cad346bfb9f93a109c7d21af56a09dc43cf1eb681774115ea0de55e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (1, 6, 4, 5, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:22d28da7c66358f085b11c15f848ea41d9ce8460796011e59b3543b279ffcb9b"},"sample_id":"sha256:4516faf38f03a44fffa2d2bc8a27c26e1fe2747f570bdd1aea1ec25ed04eb1c9","source_transition_ids":["sha256:0069c9f230486ef0f5a211c0f0fc94d369d857208e85b7702ac10461d06c03ec","sha256:eb9e4a3c0ac0f71e0982fe0f10e5c0196a591d6fbac82cb4752c68e12fa272f2"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000303","trajectory_id":"vlr-formal-v2-0000303-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9c5d804da57c9f4c229042820785a53e40a806f4382850fa61b8be4814dc8396","candidate_id":"sha256:d17e719705152ac2d4e1b9fdfdcc116f28c584ef49f7ce46b17ca38c12eaaf7b","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (6, 11, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5411781af0d0629e96d980402dc2f607bbdb0da60e49ccfa346b7c55a4e45245"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:f9b34b95c0534140b725789dbfd4877892f875340dd0270163f4813c22f76780","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 11, 4, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0ef5a5d2891df82dd5fa102a8824e9a9611d838f5ee85e37fcd13be923a682e1","rejected":{"artifact_digest":"sha256:ee04287bdcc1ac505250e906104ff04d348bc9922e327944b06cefaaf9f4c2c1","candidate_id":"sha256:6e471381668cbcaabd10a176ed63818b93d2307fa90b03206543a65b378db185","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (6, 11, 4, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8f57a567bda913ae8457048662df662322e34d519adb58148ae8e44c36c98cf9"},"sample_id":"sha256:8927fb3cd8316fe5e022a12b3434ac86ed5b9cf59a644f54a7fcae1204e7df90","source_transition_ids":["sha256:a63ed2fb5a246f83dee16c9c35789cfc57dba1093fe4bb7de3e6c9a3e10b855b","sha256:d6b376c431fbc16f1e0fd41bee017323b59ff4535c3b43a9710daef223b6a07a"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000304","trajectory_id":"vlr-formal-v2-0000304-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ac731c292a6c4a6d826299ee127780da8309122d875107b62a35343ee2755948","candidate_id":"sha256:3c769e2313e51cddc6dc42ac44942edd65290ef37fabd9fb96ceb78bb030e506","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (6, 14, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ffb76e531f3f31bb06499c097f634aa64c21525e4f726e03236e576c9eb8f977"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:d17e719705152ac2d4e1b9fdfdcc116f28c584ef49f7ce46b17ca38c12eaaf7b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 11, 4, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3f4c359900fd14dd445359778de8c9d3828b6b1c24065fd19e45d5e1c1ff4235","rejected":{"artifact_digest":"sha256:f481edf0e7fa2d9cdedd53f01febef690a2c47c6a2e837fa460756ad668c6ecb","candidate_id":"sha256:68b032ef95338c6d5a515fecfea61aa95521961304cc71e482655d0ed5e1a6c8","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (6, 14, 4, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3f005a6ac302741721b13f7ba82b33ba9ffac6164fa2187d762f102b0bdffa5c"},"sample_id":"sha256:a6704f9e07b62d2df03c41054e72791700c46dc3236afc2dfeeaa91ca78b409b","source_transition_ids":["sha256:d59e39d3b9ca7d587db9a501d28a15a7ec2443eab0b2f6f7e2319a26444629f0","sha256:af3365d0804b51b93d65ad5cc09bd62ea2b5a1618004b2f021169b439d0cc3fc"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000304","trajectory_id":"vlr-formal-v2-0000304-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fc88a717c026b3f026b7609a55789b1e3d6cb3c7df90ba18e466d8949d4c244c","candidate_id":"sha256:17fc90cae9b98ffad73d447c6b288eab85cd2e5fd13ac844b86d9c274786d05c","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (6, 14, 2, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a78049ec9158a2f7e8306f759875b7244cc9f298ee593bab8d33c5ab6f931102"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:3c769e2313e51cddc6dc42ac44942edd65290ef37fabd9fb96ceb78bb030e506","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 14, 4, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:96a9154e743dbeab81d8f1843d91032e2bbcfe4b50c56a9f0042dcba8af8a09e","rejected":{"artifact_digest":"sha256:9be31812835f10ac7f8794f4f04f34c2dff401bd6f4cbd094d8b72cf0089f315","candidate_id":"sha256:7049e241b59a90006de2d0c8eb34528efa5f9fe03b9210498dae36690d9bc610","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (6, 14, 2, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:45c0b31943253627704ad12ec39f171638565ed0c808754a43266447c00588e6"},"sample_id":"sha256:1b4b1cfd228668ea154881b5abb9046406f6060e972c60c06f09c91e91949a84","source_transition_ids":["sha256:7393dc979836fe8bf2dd078044c687dad021e315eb2088698008a9423249b6ae","sha256:d4b648713a74fdcc6350cb1ab27fded3b990779d59312e6748de6f054d6e0d23"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000304","trajectory_id":"vlr-formal-v2-0000304-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2bf13bf73374d7b5418816c1ef93c8d6d42a3d18a084f51ae28ca73c183f4b8a","candidate_id":"sha256:f40b7ff9db1b0980017860a87e5738faa4242cca576d9142e1a76802f7b3b488","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 14, 2, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4d4cc12cb8a1d4dca2c4f206167698afd9619213985fcd077ff738b81e3e3121"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:17fc90cae9b98ffad73d447c6b288eab85cd2e5fd13ac844b86d9c274786d05c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 14, 2, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cdb555aba25287cfbb8dd190e35fac4717d5cd6f50b18b842a36748a83e57711","rejected":{"artifact_digest":"sha256:fbf988c4d6cc37d4e6af5b9305dc392e3653f6c07d496d490e491510a6dcbe85","candidate_id":"sha256:05d55f6f3b187222355c826220194f6311c7ac1d31c9fb55d2809bdbfc614d2d","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (15, 14, 2, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:42a73ea789dd3ba3e1daa22291485ad75188e3611e9d1d1ffefd01c33e7b50ab"},"sample_id":"sha256:d31a55279bae9099ee080c0b8ddb44ed0ba4e20da864d753d31ddc82c013a755","source_transition_ids":["sha256:3f078cf965092a1787f862dfa6ed6c0ca641b5024eba36973785fdd6287c9547","sha256:96495223f7b0a5575a59c0e169ebb0f86997f2ad84200b7447a2a546e47e2d54"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000304","trajectory_id":"vlr-formal-v2-0000304-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:209189e8786033aaae14d422bd9428e92b0b692be447d7b1729db23347b245ca","candidate_id":"sha256:bc4d76dc144b9470d86c2191bd0a8cea8333d5e0accf9761f815e6015d1593a6","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 2, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a5d46dfc2e5592cf84e5aa026b2d3e12bf9ba20d67e8f2a68c04d2b38e85f7b7"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:b9c4358dfefac441686059309b4eecb3ebaa438033660c9e4a225522a4dd17e7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f904dc7a398a4f2310ced2db421f36e1725b571a29818f49900decf4a28a28fd","rejected":{"artifact_digest":"sha256:04a2e8aacce01e34527da78eee18f3832aeca7b25414d6eecae3cd1ceb008d9f","candidate_id":"sha256:3602004b523cb0dc753dfec03e78bbb3e6f858a5f1a2e52e678fbc86d0bb037b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 4, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ade406bbb3ec1a650385a61060cdebec14ed5ba03265402c2c6a6cca4171b560"},"sample_id":"sha256:3ed1108ed74a7e1ba7675ec85200427b309c61a657119682f362a06dd60cedd8","source_transition_ids":["sha256:4c90a6129eb49df082105699dc83e65c02fb89ed4c755df16ade52b12092ae9d","sha256:f815b8f40102237b3e07f5e694dd1f66651c781cab58161efe1fb5bd4809ac37"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000305","trajectory_id":"vlr-formal-v2-0000305-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ecb4ca560a2383c6d9248a10f2a291cc9802105df5a9224bff954c496cb26c21","candidate_id":"sha256:d2e803b8ea795c796076ca42c90fdbabcae62eea1c2f0af2891c960de2bd1030","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 2, 5, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:00df73b74b793e085e0fad39cdd93184ecc7b1b2c3be001877bdbddd2f540053"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:bc4d76dc144b9470d86c2191bd0a8cea8333d5e0accf9761f815e6015d1593a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:192d142d48ea383bf9b60f2974b176c9a1bff028aae2b6735cb0d831f654023e","rejected":{"artifact_digest":"sha256:48a1125ad215847701bf34db0080bfec5ae6a30b0dd0d96283ae8e7a242f6be0","candidate_id":"sha256:81a4dd444ae1dd6a3db10f115a0b21ec84e8c098dab23581f3bf7c347ff23afc","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 2, 5, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4415f23f25cb1484538518287011b1e45ec1a850e1606e4c17a801583ac5f673"},"sample_id":"sha256:add97160d9eca0442771031ccb7d2b7e522592460b67f7e5ee35001e126b153e","source_transition_ids":["sha256:ff0544cc6754a25fcfcc1f925c1e0c81f24c4e2e37d027987ad318b844e0fa0c","sha256:053354a79cc5676eb579db4765d5279b5aa35ec40de0faaf43c3096397f72192"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000305","trajectory_id":"vlr-formal-v2-0000305-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7725b59eab3d601a84d0bb28a45d85cc2e00bbf9b9e5eaf411daf68caa490c63","candidate_id":"sha256:4a16d66ed7daca4fa6ba830a671649615104265553b02eb1a1074abf76eb67d6","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, 7, -4, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:969a1e640272f4350f40668ffea374b9053ec4b166cf22bef6f2c8878bab8b08"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:4e6c8c24de9a9699ac296849b5c75ae0e9da20dfcb577bb7eb7426d6bd3cbd4e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 7, -4, 3, 7, -2)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a547778866e1e9b6a178db0b90f04cbfadcbdc47200cb926cf7c97af5c234c9e","rejected":{"artifact_digest":"sha256:4d09474b8cba18b60a10524b39b52ea974de8809b00ec1302b741241203ff238","candidate_id":"sha256:a69424ef8ddda451b4ef7081700e94c2775f822b7931009ac2bc9dcfe158d617","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (2, 7, -4, 3, 7, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b1197d9d2925d54f06fdafc5e8b5640249c9a9c368b6fb910f8efe8f1a0bff41"},"sample_id":"sha256:ce4aef9d256dc9a822473ca0b5cd6b5bc7998648a1736ae2a11489f6157c6f19","source_transition_ids":["sha256:b917be468332b2494ce1f76e130f403fd4ffaa4de21bea4dfba4da49bc6d25eb","sha256:d5210c68fec67275d21f4bf59005fc4a8fd18cfa75c2b2585cc9d0b37e16062e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000306","trajectory_id":"vlr-formal-v2-0000306-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:70cb2f9452e3a37323bae133fc4f7846292a15b83bfbd24c3c0a4b45428fb693","candidate_id":"sha256:2486d5ac8f3e53d1136ac628555fd69d379e5b73a0dbcffc716cb64ed0d16c00","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, 7, -2, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8bd920173ce0c286f076e7a830730d5aa6864f3e5129d58ec1b2ecb68cd5924d"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:4a16d66ed7daca4fa6ba830a671649615104265553b02eb1a1074abf76eb67d6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 7, -4, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f2b233c5c47b70e2bc24e7ab4635dec5407a1806788c1483bfa42babad61067b","rejected":{"artifact_digest":"sha256:a3cde21a5185fe36ea2f17812f6480f58386e316f43c2cc904c3c29681305893","candidate_id":"sha256:36c9607a11cb64439dd1f53265ff506d85b9402eabad61aee088f6ce2ad881b3","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-2, 7, -2, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:87b70af828d424717914c44cc96939e8e794fea130b54295dc78078ad02c4143"},"sample_id":"sha256:c0ab83f90d8624b8a31f34b350bcda2e5775bbc7fc143201193fb4712daa62ff","source_transition_ids":["sha256:c6a542f20dbefe256bf1d38e44d285d4002fb0a3aea947852a2e419f8eb9671a","sha256:5f5667ff9c7b7a565babdaac0e7ffaa7af243ca35fb8e39247eb8a85c786fd74"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000306","trajectory_id":"vlr-formal-v2-0000306-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:359a8bdf5dfb470c28687cdaf1ee2262bfb076d79d020e04b68b876e6e39a887","candidate_id":"sha256:4e349228fad4307470ae96ce8e286906528295df67ae2750f0832cc9b4c909e0","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, 7, -2, 3, 1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:015f4015e2ef327568c3c21312d1189b223e4b426dad9836bad4b4036c07425d"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:2486d5ac8f3e53d1136ac628555fd69d379e5b73a0dbcffc716cb64ed0d16c00","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 7, -2, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0f6ed0dd83a1c2d2cd4e7fae2198a9ad3e2ba1a20cc0f66a93f11071888daa05","rejected":{"artifact_digest":"sha256:ca7f8114eed1cd7aa906fef4f90b92dd15ee3eeec685b5517d41ab6b0291589d","candidate_id":"sha256:b1f677d5b0d3c0b4fd7ef1e77ccf955e36bf96d577b414887c0d603d82c3c6ba","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (2, 7, 2, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:55ddccab36d5a1ab766249f6604f3b6263c24f5dd64eb3d4fe0121f833f353fb"},"sample_id":"sha256:59a57cdb5ffebf4084b3524a805d9f80d520e39e40fcfed3e99b9b034b7598c3","source_transition_ids":["sha256:359587599eec47365bf606a8649ca7664c63dc2d1b76aaedc4ba2d31ffb2ada4","sha256:6a44bce5cbf010721d618655a417db8fad5579be0d37037ccfd68141510438df"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000306","trajectory_id":"vlr-formal-v2-0000306-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:df24a63133664b5287584fec08391b42b0068d37b0cbd86ebd33c8bcc15d28b3","candidate_id":"sha256:41b09115996b4b040b9b48b45d20e43a0efead0805dfa592a9c5916bf4732674","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, -8, 8, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:3eb332dc268ca8369749b4f1b301ed8482b2b15fbb19bf32c3181463fc57aa9c"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:7429656440e3d395069c7a10916ff8d76c7393d1f667db95392220494abf272d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, -8, 2, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:52228e6d1fb0a8e7ab45455b06571dbc534ddfebddf7e7fa3f36a8cdfe3928e0","rejected":{"artifact_digest":"sha256:b09b89d96d1dca729975aa3ecb06898894769829a551c10c88b738e754bbeedc","candidate_id":"sha256:e39b8cef2828e0190af790e9ec3c2cb93d2c6e54a66141fb1073d8914982448a","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-3, -8, -1, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:13185796acedcab4bb75cde69bfc93371fd2e4e95043255da1a73d88ef2defda"},"sample_id":"sha256:9f8f110f6d4fb54e997ce67ad24337d22f7e88defd946c06a16a3f71b7240dde","source_transition_ids":["sha256:8587cd4edc3b89fb9741fd11f01b65629dd062a4474ce6d5d8ea250b983f19e3","sha256:896298c171c781046313c8713af178941f83614adf0f735ea55bb3b9e6d9d275"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000307","trajectory_id":"vlr-formal-v2-0000307-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b379bc72224627b7a2990e0ffd155bb457d244775759701662686e46af64b395","candidate_id":"sha256:0f8a6c489eb68db968e7db08099a752bfaf9570c1b4c8dbc1a3e4d8962eef061","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 7, 8, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:197ab500a99ba621c31613cfba9eb18b930c2ead1d745cc5c4828fb739e24c9e"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:41b09115996b4b040b9b48b45d20e43a0efead0805dfa592a9c5916bf4732674","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, -8, 8, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a8d8cbb16c82a0b57ffeac3d3d1aacc52c398ce6870d9fb5853b7695a2697892","rejected":{"artifact_digest":"sha256:664da4071193e0fb40db4119222a448667330a06ba6bcc09154ad9b4e8a9ba93","candidate_id":"sha256:4cab48e0424237d19db05b8a79b840353007684ce2a33fdbbcb51866332dbac4","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-3, -6, 8, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:6c0d504521298a8279396e5d769f56e7af9befab876ecb233ad18704e736a4a7"},"sample_id":"sha256:3f39e661da4a940bdb6b2b4ca39eaf4239ca7ce857a8bcce9bbb6e7d06655dd2","source_transition_ids":["sha256:57ccf0f42ec5b202d3d84dd782cb65fe47a5c34250308f2f7b531f24e8425483","sha256:3169bcaffa8f7b7185f5d36bb853fc8c56f0a1dc5304c20b2e72fe5b706f4f77"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000307","trajectory_id":"vlr-formal-v2-0000307-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4953022bfe2805791f051603d8d863aa6bfea2b7f329ca09f610991bd1ee90c0","candidate_id":"sha256:4df5209deca6e01c8992fd848cc18e417807eb48861b8ec99ac8084bda58ae2c","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 7, 8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0cae0d52e0eeee2262791e5fdd2d2563fdc9ae73f0b4eebaa8ce9cce83c5b006"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:0f8a6c489eb68db968e7db08099a752bfaf9570c1b4c8dbc1a3e4d8962eef061","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 7, 8, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7dd5bd5167835d412db401a7e1fa0d623b47668674ff9d8df9a4622d7ee9830f","rejected":{"artifact_digest":"sha256:e7267a06bb5d5e460d301ad15eec95ede5affc3b7b4bdf40aac99fbba13de9ba","candidate_id":"sha256:fdc69751e1b8d1789a4efff32a97160e0d1b6d99dc5d39b09b4be4b96e49d33b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-3, 7, 4, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f0aed99d52a9c8e7c09ec1dc76c571e79307ca03ed42dfa0b984a82097aa03ca"},"sample_id":"sha256:b05b628a99835947960f40a33249efffa6f9eaf4803baecfca5396a57eeb31ef","source_transition_ids":["sha256:cb2748dae4e2dd4d338799e3b709a61f268b418b5d9fc5c46b0cf3298f2c8b89","sha256:925c61fcca166ecaabdd40997d8c6dcf756137c07c38add78c1600c702334339"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000307","trajectory_id":"vlr-formal-v2-0000307-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d9143390f453a768543a3b3e087e448f1bc4e81c9c39898ab3fb40e1f4dad0d0","candidate_id":"sha256:18900fdf13187c67951375785f6c6517ec754be6d3939e4e3b2b990e3b3f3bc6","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 7, 8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cc591416b5a3be93b399c36a599c52eb33c1837354b7a6bf5ead5b757e13f917"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:4df5209deca6e01c8992fd848cc18e417807eb48861b8ec99ac8084bda58ae2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 7, 8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:23b28cbe6f7248db0c4b5f4e8f705dd67e062560998810fb88c3556b51e998d3","rejected":{"artifact_digest":"sha256:a8844d50d35b4ecbcb15f5809cfb150da07b3859bc32f68b53be29f87b9e18ee","candidate_id":"sha256:951e2e70a509dde5e14c5209e3938778e51de2dce7b6b34c0d3bec80590a6736","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-6, 7, -8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:254946f1fdadf86d0c3887092e428a6f6bb6e369c3f019d96cdc781a4b61c765"},"sample_id":"sha256:e836aed9f91365e46a97417115c03f5317ea7ea45b3667e264f97e151a0c88fe","source_transition_ids":["sha256:2f9bd8a5344ac4ff7b341ed59a755f7b030b6fbcb60585179e688ed44e6974c9","sha256:621bf2f90c575df70f8726bc81592601fce6ef2b54f9fe09185e84d4692f1ae5"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000307","trajectory_id":"vlr-formal-v2-0000307-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c3af8883fcbe6976df4e8e02f038e3a037be1e2f5ed9e75bbac7db1eeb6c5c95","candidate_id":"sha256:e5056953e3f213bb72413610338defd4ff6db6c65648dd2cd6185778dafec935","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 7, 8, 7, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9b17538041d8928158d90ead8e77f029a69e71efa0f2148a5ec3593041f4da7f"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:18900fdf13187c67951375785f6c6517ec754be6d3939e4e3b2b990e3b3f3bc6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 7, 8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c9d92849bd2fafd2177b393714b60a6d758eab6dec90d48993bfa1f23d691bc9","rejected":{"artifact_digest":"sha256:a8844d50d35b4ecbcb15f5809cfb150da07b3859bc32f68b53be29f87b9e18ee","candidate_id":"sha256:951e2e70a509dde5e14c5209e3938778e51de2dce7b6b34c0d3bec80590a6736","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-6, 7, -8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:254946f1fdadf86d0c3887092e428a6f6bb6e369c3f019d96cdc781a4b61c765"},"sample_id":"sha256:178f47276f7cdfdba832c6d21369ffbf9387b5a19d5f34575aedb1857fdaa5c5","source_transition_ids":["sha256:1ac02ee018765ffbac7c5a42ada185dbd1232b23962680e28fe5bcbea9b11cfa","sha256:103ef6fcc01592980fdb1612945bb451e041fab4190e56a3837d15e4a01b3ced"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000307","trajectory_id":"vlr-formal-v2-0000307-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7e7f94c27347f3d7a273ae0cc6adc67ea8c02c357bddb5c1cfe6e5eecdce1aec","candidate_id":"sha256:fe2f642232b83e420c3314916d9a4ed6a4d1fd4a272527e2d7c6ce734575ad31","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-7)\n    return x + (0)\n","verification_digest":"sha256:ebcf362fd72088428d0573c92a968cba0d6c039648081e1aa1ace37c71ed27de"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:4206d0f7e38988641a97efd2973d3a2468ab5f7a2fd377918617deeea4234a32","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -27}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-7)\n    return x + (8)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:da8d6a81b3335a9c86fce187a22cca31057a88dde3115c55294bce2d567f5f8d","rejected":{"artifact_digest":"sha256:0e1c1aa14d497c23b05a7882731a287cdcadcf7f72873977579e7d081e3b3258","candidate_id":"sha256:cd32e67a4106dc56cfdb3164f6d8e3fd865e9ceb0eb2c6c1e7e6c7c6bb735e9b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-7)\n    return x + (-3)\n","verification_digest":"sha256:6d7486c2d8b47b0985fd6fa6e8df1b03f85e574d8f57ba3a337098baec6157b7"},"sample_id":"sha256:ed77f5d7fffa39216eff2478e21345585edb984f859879e9f4feb9eb0cdd1cfa","source_transition_ids":["sha256:9c873af45442f6e13f35ebb45649038f4e381eb2603ba8dc6a9a05e983043b07","sha256:9213e7b21ae59aafcae42846c2725493383b6d2e7aa141af5f835e083ccd612a"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000310","trajectory_id":"vlr-formal-v2-0000310-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:16f64d7536bf5a7d44ec18d85a8878ff04cbfd3a32c5a405de7c8ccf3030a9bb","candidate_id":"sha256:22a6be97d49daddb354c60bf0cee3b5460082e1d1f7d9d8fe119e2bba6fcb809","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-7)\n    return x + (0)\n","verification_digest":"sha256:efa06b6a7db6da89be81a45b24d54a51c8b891849936c66904abb2f6509f0d54"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:fe2f642232b83e420c3314916d9a4ed6a4d1fd4a272527e2d7c6ce734575ad31","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -27}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-7)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ededc1ad38142de822f656b1c3ad2ad0c54854a02fa5690f3ed6ba85746a9f09","rejected":{"artifact_digest":"sha256:453a57ed9dbe0af79006461e979094e5c5ea96b5637a435201d8026239a8b31e","candidate_id":"sha256:9b24c3513aa4e441a86ea7a67514f09a7a4520e9929812bc4ca7daab311e3ae5","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (8)\n    return x + (0)\n","verification_digest":"sha256:22583c432f46865ed7ee5c9484729b1eb346d9dc643adfbde0ce4e44e6ef8359"},"sample_id":"sha256:3579617b1a1e607f90a19d1d66a58f3988a7f79d64b552e05ab0511d6214697c","source_transition_ids":["sha256:d52872bd03396455a105f1103ecc1530c78a6e5478c02419ba61f62b4f1c3621","sha256:df22d7429f18773618a9985a8af1c5d059480b4b8d523ba43f7fafd4062d8d1f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000310","trajectory_id":"vlr-formal-v2-0000310-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4834cd56a08ceb9414b5f2eae2903124b23d34e259b44f7f23397f2071fe591a","candidate_id":"sha256:5d7b0dfb410ee66f6f97bc45e818487a6b62780c62ddd96a09697caa153067f9","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, 6, 8, -4, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c22084a200da25513d0f1567eb359343face2b0561638d281a0ec525d3679877"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:bb312e7a49c9ff4bd0576eec7725e07b59093e08d0f2d8da8ce977f000f33c76","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -1}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 1, 8, -4, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8a1aed45f58880ba0f698c7a9855d18a9922bed4df6b0d518b09ff2dd2bc0fbe","rejected":{"artifact_digest":"sha256:d66273f873c03cb886b7e46402a34c2294c450b658f1d949eaabf4c6b54e2d6f","candidate_id":"sha256:a073992327522826a96e742d8b268fc2a3038684aa1e1f67ce44caf8dbcf7ccb","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (0, 6, -8, -4, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:1752e806d07a54cd4900c123b85f50f932504e7f1aa2bea5c117c5c514fcac9f"},"sample_id":"sha256:5e23d34302f970de980c361009ac6761b2f4dd3ba7995d3b01a98505a96447d0","source_transition_ids":["sha256:e1f88cd933f1b4a21b0915c153a22e6ff0bd182a8b5e388f1ae36c6eb6098359","sha256:8da129f56e6a97de8baa58d91c8ab961a958c3b77db7a21740dadb4ffe49267e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000311","trajectory_id":"vlr-formal-v2-0000311-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ee51ed316e30204b4b82d3f4e60f7397e6a1818b748a4ae7b6b467aebde52ce9","candidate_id":"sha256:64c5d7ad126afa11ce2ab03ce8e97466f04f646cb4c4875e3418e42f9256f30c","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, 6, 8, -4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:1824a49df93e01d8976bed9246884bbc4505bbc678a18e822606e7def998ef61"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:5d7b0dfb410ee66f6f97bc45e818487a6b62780c62ddd96a09697caa153067f9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -1}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 6, 8, -4, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a837715f47211f61be5a67c161c56b5b13e1d6668268d04e944f2d02cdf0b9eb","rejected":{"artifact_digest":"sha256:03ee08b478db84f9d4666445eb0db6b02f6f400c4f8d95416d3f0a2f62bafd7b","candidate_id":"sha256:c48960c6255678dd2e78879d770130b0e3d640e97c223581fab83917dc704d18","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (0, 6, 8, -4, -7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8e318263871615092c583c8b3144dcccb3845df85435894995376e63f597f2b4"},"sample_id":"sha256:9f419b1ea7a28e26ab80b261c75a8c9720abadab472fe05d55781854a9d31cd4","source_transition_ids":["sha256:046238dcb976857462c93ddd0571f6cf7923dac0c1d39c4a8a33b010b21c9b10","sha256:4c46d6284f312f6ea0eaf48b31492016a1029d81afe7193143539f2b621da57a"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000311","trajectory_id":"vlr-formal-v2-0000311-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c0bcf56d530edf14c1612157c061007cf51cb88485a466a930e3db3077caa443","candidate_id":"sha256:7bca7b4a58b288966091bae9f592c0b098aa9c815b5ecc3d588f7324af082265","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 1, 1, -7, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:fd40e142a35ad407eee1babb6139e91fc2edc696c37c30217f829cc6a5dbcc2d"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:9ce350d1dc902db4e8a098faeb90f4f59e947d2ade80b5e1644605375db8f94f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 1, 1, -4, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f8bcdaf9a095d34c12e4f40ef875ba6068d66214cc096304be33bfecf947acd7","rejected":{"artifact_digest":"sha256:8d263580ef6984e6845dd56f4ef78bce171bdcbe72c1f0b586716fd956ff8915","candidate_id":"sha256:fba0ca244d2282a1b696bd3df0719bebefaeb1bae64d8f241e6635a7bb76291f","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (3, 0, 1, -7, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:893f711f9b0eab08dcd5b89960d69c1bb8821e9ea2206cfef3d94ddcf994ae5f"},"sample_id":"sha256:c1e6242956d277aaf5374a09d9674bac5c4ad1b8d3a5f45913d63f5f4ec6eaed","source_transition_ids":["sha256:989a0e8c5622fa4fa38d35e855a551c841ec8cd80c07de2d6aec725ff2c4a2ee","sha256:67dabd3852bb14f375eb92b895643c784d3cc6a2865b385ac17407862fd2b91e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000312","trajectory_id":"vlr-formal-v2-0000312-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e97a4417969f3f3c1305598977d4544a744e75ce9fc939aa1fd876c9da869ca8","candidate_id":"sha256:0360993938aac6203a73d51f7afaae0c245023a958fe61dfab7a42c08698e571","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 1, 1, -7, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:841b86760a329f4639ab488404302c6b8a1fb6883e8ad411d4bd43e851f0773c"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:7bca7b4a58b288966091bae9f592c0b098aa9c815b5ecc3d588f7324af082265","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 1, 1, -7, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7dd860102d6474dbf61592bc2b37eafbe4309c007d7c99d9e2e073e755d98064","rejected":{"artifact_digest":"sha256:9b4fec353ff2b7709bd8f4ea024f9de6950a2ff8a9c7e05fde68af47123c83b5","candidate_id":"sha256:19cc2a97bfc86bc4e6da3fff3b1cc3ed581e9c235fc5e7a59ea2abbe078df59c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-6, 1, 1, -7, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:65df189b6fbec6ad8cb98a6a8d8fdc9590302a33e27f6dc61636ce9a2d779f42"},"sample_id":"sha256:1d823c1b2a6f11b3277c396cd921c9e61f875a8beebbcf869c423cac4af13357","source_transition_ids":["sha256:ce34d32c380d3438bb25a4c78bae7f12fd969211931ff19c0cdd44cf1c80da57","sha256:1fb599a472b28816f6d61a6d8c06815fc8555fede85e580ae3beb53ea0921e40"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000312","trajectory_id":"vlr-formal-v2-0000312-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bde30d2475266971d65c7e540ae30cce266b87356c03c998f0c412ba60420b96","candidate_id":"sha256:f7b47f654748fa9aa285b029fc309dc468c76b493b36ad6225a20a9cc11d50d9","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 3, 3, 5, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:27f20c330f5fbd6da96a9209e9c631202cc1487c826c484a2038836ade7b735f"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:9e28f829a6efb0bec141f5861c7f9cb6f0071e5d36104bacc0f846ace2fc28f9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 9, 3, 5, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0e56ae77c8a299977a0833975e1f9ad748495245e8c64e6cc10a3cbee297580b","rejected":{"artifact_digest":"sha256:b7a14a71b5a1ff78718a4cdc0104766ee74ddb09c596e7fdd279aba1b09d6039","candidate_id":"sha256:bc97e74c215688162f4e07abfd2fe2f3b8b1a56ebdf8dbdfaa876324f3349928","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":13,"improved_coordinates":0,"phi_candidate":11,"phi_gain":-2,"phi_incumbent":9,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (8, 9, 3, 5, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:30d01f054b4d5643327dc8634a6a05c40d046b7e20d3f0028e9ac80df0e06934"},"sample_id":"sha256:7dbdb5e4aef4b8c75f74ef618cba26a09515bac64b8d6bf01a6a44cd6ea9d730","source_transition_ids":["sha256:b14f350cfcf39bef8264cde3f0e1ad173925b7ceccbc136c9987417c6ff1c43f","sha256:7af81f891bcefeb6c07e5dd5097819380fc3a7175f36c9da883369ff8131cb13"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000313","trajectory_id":"vlr-formal-v2-0000313-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cb3dc9672d59b763dfdfe1d18d050457bc1ebd72d358aa5d853ef95e953073a5","candidate_id":"sha256:21dbebc1039767e5ccb90f10352941c2e0cbf342d1d2fb15f20aaf64cba4d989","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 3, 3, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6389ef4272d94bdec01d726378c2256cc88f468bf5bd8ee3ca8f1d38ea4e4646"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:f7b47f654748fa9aa285b029fc309dc468c76b493b36ad6225a20a9cc11d50d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 3, 3, 5, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eed9d117e92324f65df9b7716e773eaf73218e9f6da62bf2b9dba0429ed19c4f","rejected":{"artifact_digest":"sha256:7490fb4d823dc08c304727179c5eff97d47eb54b6e0ea703241f6368200a66c3","candidate_id":"sha256:74b75be7df1e0053c41c2869bcec4997c708d1cf10903efcea6b1e4e9280746c","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":6,"phi_candidate":2,"phi_gain":4,"phi_incumbent":6,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (4, 3, 3, 2, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9c2ffe64f38b935c497e6efbdccc922c9d9c9d7ae32fb6461184134da3b15d48"},"sample_id":"sha256:c303cc726e402ce419eb5fa75e4a2f2059008e4bcd1b916b0451980b3fb121cd","source_transition_ids":["sha256:b7b20b3e8f977f2d2e8a2ae9d8618872bfb22b41995eb37d49acfe02005a5119","sha256:6441257626a4a01993b5f07115435dfff8b12a2805d30d84faaafdf92b3c4b21"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000313","trajectory_id":"vlr-formal-v2-0000313-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a83bdfddeb9135f29aab67b80b91d6187b9673ee9f57dc608daba17e1743eda1","candidate_id":"sha256:565286ecddce3f3f2810b4c6c1390af4bf37cbfefea4f6351d0019414c5b295b","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 3, 3, 2, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:67d39c07697b787fbdddd661bcb0f423421c9f4f54a6ec3a904832f6bc2ef774"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:21dbebc1039767e5ccb90f10352941c2e0cbf342d1d2fb15f20aaf64cba4d989","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 3, 3, 5, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:866dae31b213c24c85d8c1740a937b04f306dceecb198b1aa3d8ede43b6fe813","rejected":{"artifact_digest":"sha256:94226789ec91f3982b596f090eb2b3636cbe169fbd0d921a30d7f5aab7abc8b9","candidate_id":"sha256:a33c91ce7bff34731ace69abc2bff6b1234b6db006270f8b4a2c3aade4bd0455","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (6, 3, 3, 9, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:53411dba625d7e76fef2dfd8cf8e0a89b7b44a84e7112e2d01af1df0fdef846a"},"sample_id":"sha256:7e46c71501c54bfb186d08f04284702d393632d23b571a088c5994534ebd347c","source_transition_ids":["sha256:3468ce5aefd5ec8c44f1c9880fe56c3cc611f4674b8016bfe7ff521f11eab7ef","sha256:bee99ff09559c68bfacd101177896a76db5d7b0d2b2ef62a645ffc584f463633"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000313","trajectory_id":"vlr-formal-v2-0000313-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:808eb2ae85395c2e19c8d9c73f18443fe8347a7158491c063fe2bf80682a3ee4","candidate_id":"sha256:22aa3aab25246665cd6883be37e8385db2bcaf602a4efc76154e9cdbad223167","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 14, 5, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f52679cc546d80d180a1fab94b94c515f4669e366bb25a6bfff982fac680695"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:d8ea04b50da629f5808cbab5f2aa8405ae2bf8c3052d811bbc327f9475d11bc9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 14, 2, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9310e1a485d773a5b6c82da7cbd778a9c29fcf8499b294bef38efa7efdd2ebe5","rejected":{"artifact_digest":"sha256:2081a958226d5ffcd85188d3e595517c6b5f081d239c938e7c97087969a032d2","candidate_id":"sha256:f972c08d03aa61490e470f53a52733319b81f4b814508ac0e233d18860811736","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (1, 14, 2, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0ee54a7a52307e070e85adb11e4821b2233bc9b67c6d89830fd102960511c6be"},"sample_id":"sha256:2bdb80dea29fa4c30c79c62bf1bfcab578a8e66367ee5f0c9ae95a22b2b89643","source_transition_ids":["sha256:2b828bbb54a9152fa38a47dc03941180b8ea4bd7489caa6ec24cdcd50a26861e","sha256:dadcfe3e13cbbbd776565b7f35d52c49ca8f5561daacb61f2bf43ba25d0949ac"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000314","trajectory_id":"vlr-formal-v2-0000314-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6208e0b762a76572ab08eb0b97446dd1ae2fc7c6af76b1f9cd42571d7755dbb4","candidate_id":"sha256:2fbc6cbae75a5d8b6bdd57739e13324126b226a6a5dd0c233332bc5ebc008657","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 14, 5, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b613d607e08e3065f5a72cf5acd03cd342e0f8ff7612e6b8115d747ae62e4bc5"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:22aa3aab25246665cd6883be37e8385db2bcaf602a4efc76154e9cdbad223167","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 14, 5, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2059353ddfe31886532927a2d33fe03daf30e0aa4c9941a05c7dcac90f32b577","rejected":{"artifact_digest":"sha256:dc85cc408b015a0086c549b9b430dc7ffde8331b192bcb0b3ffbe22d3196df9e","candidate_id":"sha256:35eeb863f0407366967d3f6915280de8eb331bcd304d119f2a887c2f5d00a146","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (3, 14, 5, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a9fdc0246c902b79e1a60ecb5a3375ad0b7a7054245a23fbbdb6ea11c848f875"},"sample_id":"sha256:39bf102f23c8d014a538287dfc338fbb390bc8050d4183439a9d1e71b49be423","source_transition_ids":["sha256:fd0aecb4f8b019690696906e28b1c02aa7510c28d2d9eacc5dd9ecadd8e81aa2","sha256:b95c2cac1b2ef86c1fb90ec0daa20892683621daa4260cbc09ae70461076a27b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000314","trajectory_id":"vlr-formal-v2-0000314-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c6bb84db1dc4ba9bb5b3d70ce651c1376a62754cbba4061d6b3187a9b5ba2fa9","candidate_id":"sha256:47d0c97c1be05c51981da6ea2302c5d0067a07e6af77a843e26f43da63b9c8d5","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:748d727abf2f097fda25e778e2feccb0bcae53a26a197ea8d44b75861ab2870d"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:81e843d55e0f80b7ec5e7a951a0225f9394e282d08d35f83f7e9758d531ac062","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 5, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f4bc8632016907011132312345b56a708c80adce05f4f24efb9f6fbe8cda93f6","rejected":{"artifact_digest":"sha256:80734c243ca3bd6d33c7d4c6062c21e5442103515473d3b4cbbbea28807be5c0","candidate_id":"sha256:21b0773c2e41f94c332defa3af0024eb3135f1d914dec372ae80f26283dc2409","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 6, 5, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3b25a2ac748e907b3cfe0a6a9f0df0dc576eea669567af297299f10bd6e08870"},"sample_id":"sha256:38147fd076b829d03b797b29f54edc8662c79dde7358bfcffcb1f8b97fab6d0c","source_transition_ids":["sha256:1eafeb80dfbc7b9c70968ed8d397b7cbdf20dba9c08529648772b8b46cb0aa14","sha256:9ab30b2970a1bd17ef1755daacd3b4e91f68d2cbc9ba188345a4eda0655377a2"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000315","trajectory_id":"vlr-formal-v2-0000315-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:56939718829176aa194e86bff2acb2fa96a442096d2373b2a1802a77374f4373","candidate_id":"sha256:a0fab668b8298f30d3a6b1982d14b1611d664ba9a498206b1c70e6a5477160de","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5673e1ec6ef81f7fbba26b9fb053da86d742836447cfa568c731eb16ee9fef1b"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:47d0c97c1be05c51981da6ea2302c5d0067a07e6af77a843e26f43da63b9c8d5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 5, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1a82c41f3f810e2259ef4de3e04f74abc5420cef368b3514dbd8b7dbd79ff347","rejected":{"artifact_digest":"sha256:0fb0f39a596ecb4e944ace1a9bd0e1834ade30919768060fe8601d9d4e66a464","candidate_id":"sha256:1c72d96a952ba04c12c6b0aa1586ba02e942be76fb909326d5746233317b2e3c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 6, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:29030afdd2d3b08cca3d1dbdc13c95280b152e5909e5778697394b38517810bc"},"sample_id":"sha256:1dafb24a4fff6a3b5c8867cc65279b945c6daea6c0367efd8cdd0b68f0017b15","source_transition_ids":["sha256:416c7447cde7abeb953b513faf0f3a401e52a01cd8f46638e610292f99108d2c","sha256:70fd989595b6b8e35a3b0cfab137f327f30ab09e80aeb00886424ea46b146ae8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000315","trajectory_id":"vlr-formal-v2-0000315-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8a3448138528a87e4487d515ed23c39fc90d4613bb4e44eeddc4202ab28262c1","candidate_id":"sha256:1ab0d733869815f3c869374d0fbcc9bcf53eaea9912d28ba18efbe3f6f918675","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 5, -1, 5, -4, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b315f21eabbb3cc4a8304198b08c714945252e6d603619bdb50de65dcb9d7469"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:02dcd3f9c06a36d5bb760325f5c3235af90058164e19f6079681f73274f72d78","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, -1, 0, -4, 1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:718b1c50c255511c5e00c91eb6a5f0105977525dc1f2c72d43fee630105e6c4e","rejected":{"artifact_digest":"sha256:a8430cfb084a801a09f9fbc81beb3e467fd27ea7f592f7db53c607b2e9785396","candidate_id":"sha256:0d2bf8b451e4cc652bdaefe24537ce00bcc2ed1d4c54f0e689c9e0e46906b79b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":18,"phi_gain":-3,"phi_incumbent":15,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-1, 5, -1, 0, 2, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7935ddd25d76a92cad55b0893bdeeb049b41088b7c8324b222d62bfb3e62b36c"},"sample_id":"sha256:5b7adfd78c54fbc1dd813753334d42e470d0217dc33c10b31a500b81e815ac12","source_transition_ids":["sha256:dad8355db1f03465bc87ff6c541ed5da8ec42996cbe6f111147b79ccdc8c0f7b","sha256:4bb128589756de74ecb8c255c2d104fafbe4a466a1077be406ac1abb1cedcdc3"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000316","trajectory_id":"vlr-formal-v2-0000316-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9beffb495ecffdb7d0fe9010ea9eca232e615163d6f310326c4935961faada29","candidate_id":"sha256:20f92d8a146c6c2eece2423f5db3b12a5164043a68c134bcc0ca90f5651b9125","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 5, 2, 5, -4, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:688bf2985a94b0c6a3077b4cd2340718d300d890fde1179202f3669dbd1ffae3"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:1ab0d733869815f3c869374d0fbcc9bcf53eaea9912d28ba18efbe3f6f918675","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, -1, 5, -4, 1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:463e004158e0164d5775be0ae5bc1c4b451064da3233af56d1c5e0d13adae833","rejected":{"artifact_digest":"sha256:513a99315853c3cb00b856ec6242762adfc555cf011ce98fc5209950fbdca24c","candidate_id":"sha256:4444650f7c012a5d748e105850b8179fe65f2344743b28415c3fbea77b919812","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-1, 5, 2, -1, -4, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c5cea805a022e554873b6f7cc0de355c062ff7c5ce08ab49357c7857a4ae9710"},"sample_id":"sha256:25fe3ba173bccebb49f113bfd802d8e99219410d962a4132e3b2849f0e7a6fc7","source_transition_ids":["sha256:065298c7d12f4fbfe1d62354da73513105716c59729b0ed8252d54db5efb5150","sha256:9837d7de6c0b478c67b0ceb42870e9241bdb8cb8fe4bbbf7f7e9dd199b6f5bd1"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000316","trajectory_id":"vlr-formal-v2-0000316-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:80586747fe52d7aa292b92a9e31ae5903fbfa55ee757550217a270efc1ea76c5","candidate_id":"sha256:4b4352623ef382b926e6989d811fa82246e391122c716d8216294bd110bf9fdb","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 5, 2, 5, -4, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ca0a4f71f6258c397ee24e48caab990dd257c3f80a118a30e91ec1e6674d9683"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:20f92d8a146c6c2eece2423f5db3b12a5164043a68c134bcc0ca90f5651b9125","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, 2, 5, -4, 1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d774e242777ae31f114719e8b49a0f6e7f5862d6fac646d34de0c18c88db19b8","rejected":{"artifact_digest":"sha256:f8f4e61280398f65a6fc3384be0818ac390fe5257b473aee03ccc847276713ec","candidate_id":"sha256:41e304b6256c0bf2efb16d06542fb45d1bd9e06d1cef07c5d7f01a299b75ddbf","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-1, 5, 8, 5, -4, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8badbe8bf48a22c80134db82309655067eeaa51d2416fdd8a3f677cfd1bfc4b4"},"sample_id":"sha256:68dd18e66f231e60256af48a941ba503ce39e21081745e6803691acaa2bfb2a7","source_transition_ids":["sha256:43f1d07ea6c3be484883a5b816d308f91b6a0a1705c5ad6f3a050bd993079cce","sha256:6437afd711dc1eafd151d48ce7a806f6aca2b74b64f61c7acd90283f59d4f9b2"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000316","trajectory_id":"vlr-formal-v2-0000316-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:50b090170f3d7fbc76a665c74f7e86ce9b4807df0a204c2e2d980bd7a336cdbf","candidate_id":"sha256:0d1752563edbd8485b2f96af612af294bd595076fb3ac01bb55efbd7fc1f78db","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (1, 5, 2, 5, -4, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b44c38cd1b7973de8664907321b141ea70c67d2e81da5ba173aeda47cd7d0e02"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:4b4352623ef382b926e6989d811fa82246e391122c716d8216294bd110bf9fdb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:a99107110ca4759f2e6fc03a37c85dc0ea961ab5b8eab0c8523db001a3524877","candidate_id":"sha256:bfbbb383eaf413f2f42323d504be3776737f3f17b4dbcc22d9db5d5702f3594c","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (1, 3, 2, 5, -4, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4538fe0e09024e3de21124e8ff7c741dda4ff2a7a184209c105dfd5ea395eaa7"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:0d1752563edbd8485b2f96af612af294bd595076fb3ac01bb55efbd7fc1f78db","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (1, 5, 2, 5, -4, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:95f60ef7ab3ede788bac2550b3da3399c218d889dc198367dd0341f0d50fcb58","rejected":{"artifact_digest":"sha256:2fc26a6dafa468c563e4a8c19f9b187f68b192d5a7ea62d68d6f053af955c854","candidate_id":"sha256:d5493d7efe2f48022749c5f87f54fc013c3c6830a910f73172fef87b8fe0f9c0","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (1, -8, 2, 5, -4, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f0fbce98aa7b20984939c58cfd8a15b976b75b6d1d8b21d066f22efd103ec3da"},"sample_id":"sha256:835dfddb0d162e57164bf4d82e3f1cd774a87742c2e3b2979eed8608529eb318","source_transition_ids":["sha256:c3bb2ccb403cd453842d713b1239bc498b207ddb4b6657bf2ad8f5c3d1857233","sha256:040a79ae31bfb0a04693ad60d68ae5473de80b43c9a4c2136bfa842bb4494fa4"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000316","trajectory_id":"vlr-formal-v2-0000316-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3477fff39a2ae4b7655390e020096935d77f965daf08a871366833a76eb0d1d3","candidate_id":"sha256:7835d9cf4d0938b3c7e89e717fa4bdaae99abfed920e29c3d8b9362863b3070f","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, -8, -3, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0214a21bbf018b07ab28b0471aef9702e7315414366b13a759f40bf5610aad18"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:eedafa2b450cdb8017d2eeeefd47aefdcc9462b0453ff87ab7e4f23f764939aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": -6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 14}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 2, -3, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6b9f5368eaff0215b6b00494c3e2b7cb4d828e729ac35c81ec62a52891230e40","rejected":{"artifact_digest":"sha256:c7871f20c9ec04fc291aa129f260c732b31d6fae6e438a458fdaa7fd5b76d906","candidate_id":"sha256:6605ee8bbd295eb3311659e01d9c4a0c9211181ea34f0c4c017eda7dbec07c7f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (6, -7, -3, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a8b61255c17009075633a27cd8e70d45631074206fb4567b6ef89906b4755830"},"sample_id":"sha256:86af593c01baa10993f9ed13124fee1aa9a37fea34ddd49a773651c79bf7b398","source_transition_ids":["sha256:51f2949483330f7a7f711bbdd1c4a76da2d0633d5948867db7f8d76d5f96f6db","sha256:9056f398b4d22f5f81106a8f45441143f041f45060d5142abb16c5c0b2db3476"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000317","trajectory_id":"vlr-formal-v2-0000317-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e1b53fa78b70dc37e7e74fd768a75af2ff335101f4366d6838e8927fa40b7afa","candidate_id":"sha256:a1b96b478612b3243805d70c8c3a979f33297c746c93007769ad14df0a5f3062","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, -8, -3, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b14dedd674ab859957df9df5d9c18396cf1e93a832dcf85873fbc59a888d0567"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:7835d9cf4d0938b3c7e89e717fa4bdaae99abfed920e29c3d8b9362863b3070f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": -6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 14}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, -8, -3, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8c3faabb2e6d258c887664c95d79e5887ac5c8fa8f910fd7cf629c87f00d63a2","rejected":{"artifact_digest":"sha256:dce2ced39ddaff9c57956200b0f18609e17045135de86c8ca13f00b317faaac1","candidate_id":"sha256:2bec0f6679ccbd1d0aa230a7138cece0fa25aa59160ee3475e2df8b0d6ea8f24","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (6, -8, -3, 4, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:aefa4f112153231b53419a9e0ca313c12a2936ee7387dcba4f406adb2494fec5"},"sample_id":"sha256:17b99efec3c93dcf20797f856385df47dd923081a4a4bb659c21e8aa30576b96","source_transition_ids":["sha256:f8dc20f587d4e80c25b90b22b54b90bf723442a153f41247351475242c477186","sha256:d6160509672d1047128e0d9c436fcd0fd97ceb503f98f3cfa55c1a3e9334d182"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000317","trajectory_id":"vlr-formal-v2-0000317-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:803bbe35075161e1a77cc9b5fef55331486d786197120d06f4fc958339304bc5","candidate_id":"sha256:ac471712ebd7c9b928a7de957bb4328bf1cde9c7d43af20788cf9d0f2b92a23c","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, -8, -3, 8, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:30dfd53f5fc59e2a3590223e83f80b2db31761fd1b2ad38a066da0ee79072c18"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:a1b96b478612b3243805d70c8c3a979f33297c746c93007769ad14df0a5f3062","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": -6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 14}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, -8, -3, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:686388ab9d53847f11841e91e3318a1d49301a7471081a6c93ea012bc48c6c5f","rejected":{"artifact_digest":"sha256:47009d7709df5a6d58a018ae2ec879c5c3b19f34631b32f03029ace2696b5190","candidate_id":"sha256:2bb839b496f429bb2d9c17f51c9ec56ccbcd05671fffb637097d1a7ba8ed0986","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-5, -6, -3, 8, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d7f1ac879571b94efae55ddcf241e08be1d1e31494e6d9da656c4abb5fb996f9"},"sample_id":"sha256:32755b52373e4e4f79887d2fb48d64cedd511e16af5c6096d1c82fd05f6e40d1","source_transition_ids":["sha256:eb57580df9c7256103faf4d5d1b46bcf2bd2b0ab567baeac7d0bf396141331d1","sha256:9cbdba86b0d1f021ca91f54feba1bff0ff9cc1062706ea8e7d21395aa2a7f433"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000317","trajectory_id":"vlr-formal-v2-0000317-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d1ce2cb8dd2aeb495ab136897a5d06a4de8614c14f81462e1c4ee4ba0887e97e","candidate_id":"sha256:6e5cf96816ed4866d4de4526ffc3a97eb97ce895d4a5d277b89afc4e762063fb","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (5)\n    if x < 6: return x + (0)\n    return x + (-4)\n","verification_digest":"sha256:b46f0082efd094dcce1a4e5403c84234b84bb4f6ab71705cc0fe7362ff9d5f2e"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:a2d882a5072ebc8a950f9981f57a84f573ad4031eff86c53f85e2e20c3deca7a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -22}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (5)\n    if x < 6: return x + (0)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a231680ad0a3a0ed16a89606c04a6a27c6d4d9a2d1ac0da775da9cd72441a518","rejected":{"artifact_digest":"sha256:f25ab17751e3869bb6e7e462cf2952ddf84544274759a0fd2e7ec886caf79361","candidate_id":"sha256:66bef3474851566744d1b9ea1de61deb406efa5210ccce685e43761292fd7e6b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (5)\n    if x < 6: return x + (0)\n    return x + (3)\n","verification_digest":"sha256:defc794c6844f1933cf3d5f6282f64a5b9fd6a6b4bff237c2f1e6d5af5a252d2"},"sample_id":"sha256:3af7809b0eab338a723a3e7aa76bf48c6dec6ad681c46eb6723f3f5fe4df8225","source_transition_ids":["sha256:5b945e1d207c6420c98d8eb1c54ec24c86cc0e957d0289b3bfd924986f49245e","sha256:d62f4c7145b05e9cf70fbd508aaa2db257ccf3f54c1a7b3fb8f98e4ebc2fc8e2"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000320","trajectory_id":"vlr-formal-v2-0000320-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1a4181634597577912568162b9cd741242c7d7df862edfe9acc7ee40bfc65f0a","candidate_id":"sha256:82edfd98e3cc277f1fb4e429a158ba9276ff6b74ef2762d4deab4cf7d19cd389","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (0)\n    return x + (-4)\n","verification_digest":"sha256:75b447a4952b2aacba618af4d6fc20833d2ca84da499a8ebefdeab47bb70f65b"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:6e5cf96816ed4866d4de4526ffc3a97eb97ce895d4a5d277b89afc4e762063fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -22}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (5)\n    if x < 6: return x + (0)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7b17024de29b778cbec2beb6d7b659f8fe92b992bbb6d57905afc2bfdc38bdbe","rejected":{"artifact_digest":"sha256:465430d8dc12aed819e388162d3aaa469448ab093381e21528583c26fcd90f9e","candidate_id":"sha256:a2d882a5072ebc8a950f9981f57a84f573ad4031eff86c53f85e2e20c3deca7a","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (5)\n    if x < 6: return x + (0)\n    return x + (0)\n","verification_digest":"sha256:9bf902c40ea7d9ca2a8db557f84a7218d830dba683760a1d231a8b33fa99944c"},"sample_id":"sha256:eed7615f9defba3801c44c5e63e6978fcca032768da9fd2b594c3fc97eeae0f0","source_transition_ids":["sha256:ad757e4bef6a7c0c9ee489aa8a39f1fa7ceb34ffcf92b1d740fb6bef829d4a79","sha256:e3cb6d86d7ed53761b50a163e2b24430933322f9e1f0572afdfbc3f6af3bef58"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000320","trajectory_id":"vlr-formal-v2-0000320-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:14f2ad81b5ff11953b6ce7dcf24ee357a6eaef47037ef73932b8fce93d506357","candidate_id":"sha256:8e807d3c192fe0b37765974aff05a5518a0b9b7251a7cd18027d739f6d856c8f","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (1)\n    return x + (-4)\n","verification_digest":"sha256:816aac9f044254e0d672a57418b3a710b6149a42d52c5da24ae9d9faa4a96847"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:82edfd98e3cc277f1fb4e429a158ba9276ff6b74ef2762d4deab4cf7d19cd389","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -22}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (0)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:58983bc03ba2b661040c4bcff5ee8c6e800f8fffb1441b8e7cf8cf0cb8cd8885","rejected":{"artifact_digest":"sha256:a39e9b1f7770c943a445438e1a81836fd8c84fe349f56788faa8af7deb8a4a89","candidate_id":"sha256:0055b02e768a43281bf821d5190887d23586c7f6757ab93e35c5c58a0296f48d","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (5)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (1)\n    return x + (7)\n","verification_digest":"sha256:2ea525b7d549264e0cf2ecd8b6fc4ffd382023c15649b7b93675aededdc585bd"},"sample_id":"sha256:d46cbbbcc93eead18727522f5fa270abe50045c5f6bd5bc17ab3e4a1eb03eab3","source_transition_ids":["sha256:8cd3c328f3a1fe951727c271e09350c9456f54c813a23e6cf8e3de118b715066","sha256:79554e1a4911bec5dab71929e2d532557cd2ea38bef757f091ef60095c32d514"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000320","trajectory_id":"vlr-formal-v2-0000320-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6d955cae4b8b19dcfd7ba2cbe32bfa4f7d0eab49cc7c2e6103e87f9abe063a87","candidate_id":"sha256:719f8f6cf25a2fe358689cc7acc44e28682b92494d87b2741d74475aa99d3d6b","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (5)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (1)\n    return x + (-4)\n","verification_digest":"sha256:610ac6bc242dfac068c417e690bd9e44c377f858eb8d3b5baa3c361087f4b98a"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:8e807d3c192fe0b37765974aff05a5518a0b9b7251a7cd18027d739f6d856c8f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -22}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (1)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7fd88e15f1e8df157807be53b1d8f9151afc3deacd48778f60a6d7f64998dc6d","rejected":{"artifact_digest":"sha256:d50f9b4b01745cbe0a6ace3ee0a5926a5e5badaf90da931f8a9bec79675478f6","candidate_id":"sha256:8021756ffcb3ccd040637d6d54da113f0c0d504c4dbe3759e56babcf7e96817c","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (5)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (1)\n    return x + (-4)\n","verification_digest":"sha256:2f9ab9b13b5b86e0fbb5ba9edcf16e1d336b146dd746c3523d69e8fd89660c26"},"sample_id":"sha256:7b625051dc2a9129d79bf39e7d425a710af112ad6b9f208ae7ecea8c4c4373a3","source_transition_ids":["sha256:b4ddd36522c880c5b0e74131760b3722dbde942e2451d4e992c36430a162b974","sha256:52c14b3fb2cc0c1d1c0ea4320053c96ef8d6eb210977e026630c38ca00c43c5f"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000320","trajectory_id":"vlr-formal-v2-0000320-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9983310564744cd5b3f81811654f05794ddffb0244e9a9cb5d1b3a6860dad583","candidate_id":"sha256:ffa79ecd8a81e463b4d678467fafd8c0cde47dce801ffeb465fb900d5ff17908","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 9, -7, 7, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4e328100064592118589dde425224d3bdb6348c37fdc365b55106319acd89316"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:4b169df4728536dd0d41b3213bf6df655b2f513cd79633ab8edc032a38b81eb6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 9, 6, 7, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f229e23d7b7a1ba5d4cf66d255e94b5117804de9e75d355f4f0b9dbac27746fe","rejected":{"artifact_digest":"sha256:ff7af63bb3d49a425c30f9a076823cb14fb78f901906777c6b71cd2d995b221d","candidate_id":"sha256:115c8380de31881b0d3989b93bcdb6600a543df0d949f52f4b73d320700d15e7","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (9, 9, -7, 7, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:08592e08a613319a5ea61fe36d50d573823afb51063fe9a1b2771916e3888532"},"sample_id":"sha256:877203c218635e7f1a4bf7f542fa3d083b49733abdc17f8088c22154ad1eb065","source_transition_ids":["sha256:5ea5cfd693fcc563c6eef4706e070632f1d14440075fea260b2978ba7027dedd","sha256:b343a7c7d25d9c809de98b9556c0907031a2dc387f34ca4bc7560dd184572840"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000321","trajectory_id":"vlr-formal-v2-0000321-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:01128cbf7b07d33beaa91c935c965e3e542dc397b38a628882b5117da7f27c14","candidate_id":"sha256:fd4760cd634937836432006f62c13f55c72af267776802b66b4a3c4257df8b6a","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, 9, -7, 7, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7d14de174451b183bca661ab0a7ca9488a74e526d7d52851adaffe746914d82a"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:ffa79ecd8a81e463b4d678467fafd8c0cde47dce801ffeb465fb900d5ff17908","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 9, -7, 7, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3b54796fa9657573c0f12119bb0a3d085b3e54c0011dac7a1d6edfd681da7b5d","rejected":{"artifact_digest":"sha256:726fb581404b25012cb0561985efbef5047f712ee4912033a8c20c274320e5f9","candidate_id":"sha256:315985e41c2f6329407230d92b62da2da7c6ffc8c6c00fc32ca8cd3dc6e8a368","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (8, 9, -7, 7, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5baff1c18027e03de8dd59588f8af382b5ed272f7f0307a68bf96cce1fb65e65"},"sample_id":"sha256:a297eae1d4ea0267994d80dbfc62b2a6d1c50f409c66c97cf9170163296c85a3","source_transition_ids":["sha256:a113dc13fdefdf8818c3793cd6595277e53840a51fa247929e9627d642beb7d2","sha256:e8d45e25e1038beb9f22dc8b89e553eefc45200da6827885ddfa89f6cda40bfd"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000321","trajectory_id":"vlr-formal-v2-0000321-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4fed2ae862f07464ca721ffc83c9f2be7d294e315993f70f271f55e70f3d2749","candidate_id":"sha256:f66fe895570210bfa4adb299a665e81fcab1a08a34070b61300c853f61f8ddf8","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (2, 7, -3, -2, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0293caf78be2bd525a488d9cab332f57fa36d3e1a8e8a64522870d0cdb9339e8"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:030cf095db6fde0d371837ab395ef5812fd98a7782cd6c2d5d9995eb784a476e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:fa47ab540915a733f4061ad40af60634cf291a9352e4386d60e59f1a146fc871","candidate_id":"sha256:1e68ca3c029e64c99362797fc38113dc75a745d7774ac7b8a2a3b06e0fd464be","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, 7, -3, -2, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ba01fe4e0c890f0fcf8c7dd746bd4fd1cead897b7d2609527b7b00c507610dc3"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:f66fe895570210bfa4adb299a665e81fcab1a08a34070b61300c853f61f8ddf8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, 7, -3, -2, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:59334237066b47587e289c671a667c95e41bac10c0fb329bc6fe6729ac9fc451","rejected":{"artifact_digest":"sha256:a95ae7d442be6b4d7faf875147f5608674d5c448a716083904f1ac9066533481","candidate_id":"sha256:f6a49dd7b8a571196c7d25808c7a5e50826bc44361b12831495a65b24627731b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (5, 7, -3, -2, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:299cedaa9f573726d0dc5b33350180949a93ad269906421402512c372a9c9285"},"sample_id":"sha256:82b7172de46342400b65d2eedd4949b045174f0c63a419d973b577a1b9095022","source_transition_ids":["sha256:ce3a13443945be7445d07431ff735b122d2d0f110f3a003aa48a4128f7f04bfe","sha256:6aa76a467d3159965e35817c01b48be56b1b3f06822710db600674b3687dc1d3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000322","trajectory_id":"vlr-formal-v2-0000322-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2668d1f8ebf872774b102055945e17c2f299f3b0b38ace3edda3a29fa1b4f127","candidate_id":"sha256:6ed6db2b55e3d17b561088edea284aab440a0f9784ec7fd8eaeb72cc4397e429","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 5, 3, 4, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:693c15f78c01eade95e11ffa87f2932c457248ea615db77320d982cbc9dc908f"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:36e3df98db2bd8cea31c6f48e403ac63c3c19c91edaf4ab6cfbdc36b0d663419","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:8870703cb3e69aa14bea6541a6578101eca1b1019eb851d89719141e662499ee","candidate_id":"sha256:ba2cd63946e8fc6691839e2a3447a343425f16f223c96956ff65475b3b6575b7","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 5, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:79d269a2d222ea64c37fb5b4df6f50f98b0b24fffa5f5a23cfcbd864207c1a72"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:6ed6db2b55e3d17b561088edea284aab440a0f9784ec7fd8eaeb72cc4397e429","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 5, 3, 4, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:442a281563a74ecc56df17570fd7fc56cc9286057ff953e20bfeaa48d6d248e0","rejected":{"artifact_digest":"sha256:ea5c16785d8b1ee26a90b55d35ad792ff1e4399d571aee26997d92eff12937f0","candidate_id":"sha256:1211702252d6d0b346d4dd7fce9ea0b3b419c5002a348ce643f8d310fda77d8f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":8,"phi_gain":0,"phi_incumbent":8,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (6, 5, 3, 4, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2e24150be402848a72071398b5f2cbfe561241c6b150a39ebf1b50903f089fef"},"sample_id":"sha256:07b1d15264c4d2af2998fb7e8160a90b124393a17a339ebdafec6b47349bfb15","source_transition_ids":["sha256:257b3caa2d1735ccde74adc141cdc204f56c2cb7fc516ee8e7aa9dd283cf3d36","sha256:fa4ee1a3362dc70930bd60ee2a4a52c7f2a58d7171f0b1d97936a824784e3407"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000323","trajectory_id":"vlr-formal-v2-0000323-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:76eba9901dcf364ba6ba073eae4a46c92def73b8087a3d60c541891b8bfa4afa","candidate_id":"sha256:745207bdfcc5189182ddcb0e9d5ea2e60f74f70f4549d4508bc717100d4a6aa6","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 5, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d3037e296a9f8aa64523a6a09ff7ee0aed752ef76ab788d40bf157517ebf4bd3"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:ba2cd63946e8fc6691839e2a3447a343425f16f223c96956ff65475b3b6575b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 5, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dd060063a9b3e6496699514b374f53119987352a2270e7533d5176388e6fdfb1","rejected":{"artifact_digest":"sha256:08140d1ddbac2b5166bb064d0cac7d2d8319227191ac860b3f377bfe85d7caa2","candidate_id":"sha256:dd86e9b4e1d67dc81554e13d4c1d252ae51d12857de072607ec31468c7d70840","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":5,"phi_candidate":3,"phi_gain":2,"phi_incumbent":5,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (3, 7, 3, 3, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:ea50c52dc41139dc80d18453155c42c7afc452b04074922a9a429896d3ebd1de"},"sample_id":"sha256:c1490b4bb784e5dfe0200c8acaff333bde8fa4d91bbfe19ba00f9259656c0ec1","source_transition_ids":["sha256:c8435c10bb1946adeacc3d09d273d6dc2595cc05511bda723f656151c01bd764","sha256:b690ceb7c3aa9f70e3dee9bfd7cba0b02247fe4ab71d6030fa565dd6ee9705c7"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000323","trajectory_id":"vlr-formal-v2-0000323-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2d5ab4e71f0f81fd533dd7c1191f8628bf9cc38136fe10a39c2710878aa5f228","candidate_id":"sha256:648aae7eb481d5abe4692532dda7764b38fb8167e25dd1f76010cade679382ca","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 7, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:637482dc47f8415408c1250ea615a848a1dd31ad4d4333a04ec130dd9368db01"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:745207bdfcc5189182ddcb0e9d5ea2e60f74f70f4549d4508bc717100d4a6aa6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 5, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7482b540f8913c6d4cf1a79e050da801599b8929a8f15c7fcfec00c59171bf07","rejected":{"artifact_digest":"sha256:f036559fd4ad220eb8f7812d284cc22881007e52ab51bf86353579417689d4d2","candidate_id":"sha256:69e9395dd44a329724382996e557d347df85973beb019362d0b9b84b7963e548","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (3, 5, 3, 1, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:842e0a87b301e296f4860418908ec9b42a38d5d08b1f2c64ca0458af0837d187"},"sample_id":"sha256:eb16fdffbfc1a019eab997fa66abedc88cf1b66ae474adf2eacae39dd7480600","source_transition_ids":["sha256:b22be979c3323e8cbfacb095885c5d2ac10c2e10889e75cc2cabb5369752a30b","sha256:e3691d04446db2c10ded934d4623abfff6e88f18fffccebfd071831fe5a2a082"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000323","trajectory_id":"vlr-formal-v2-0000323-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fbc8ef2bb1da5db0ad585ea781154632f295ff5d39f07bf4dc3de8664c937ad2","candidate_id":"sha256:ed627009bcaa3cd2962396c9560f1df94def5892a811a77a11e8b419ba31c83f","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 5, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:447fc19aa12b354bb1c62e301214439d28a1654051a0c6717422dfdadbe9e5cb"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:bc464c547fc10b5f038bdfc805bc0f270ae42278570572737013541666b73521","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 5, 7, 11)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:41e8cd1c10eb2006c39cf0513ee6aa37358fbd0c45e25df568ab35c852684aec","rejected":{"artifact_digest":"sha256:bdd327f2fe14d7479c32e4096413417a9e3d1d0f2be141ce248f854d8e7f4976","candidate_id":"sha256:d8339acd675f5bfaf44d8b82a1c72957998e3bddae098ecdcc9f4d03aa830cf3","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 9, 8, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:44e4d6a20b66306b1e973343b8f85403dd47b5f2073d8fb280937f6fef3fa4b6"},"sample_id":"sha256:bb6b1cbf9ed31bf784b8eafa0b3ed26e55989f451500ea0255fbfd13ebe3160f","source_transition_ids":["sha256:3c2af6446f0c0d7ec8840c76563d4e1d96f945f7c26fec3a45c3aee9db70e0d6","sha256:ebf19b4b20c3b05240a1d9b6ea2cefd4c0a45bb75c60b9ee10fd73cfe8041fbe"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000324","trajectory_id":"vlr-formal-v2-0000324-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e09e462ad45be3fe7ae4d07caec41bbc3dd7c8f18991106a173942cba83323e1","candidate_id":"sha256:202878da3df4736d86e1afe99f5e6fc287d2f0f4ca411e158fe80d44c2f7b4a9","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 9, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5c052e36398daae97763face9abe1d845eb8a593f0bb7231bab8dae30ecf33a8"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:ed627009bcaa3cd2962396c9560f1df94def5892a811a77a11e8b419ba31c83f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 5, 7, 15)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c1d23f4a047ef633414c1d25721ac3ebe18b7e832461ed41ac16756b1af5e140","rejected":{"artifact_digest":"sha256:56d58a99646f1993dfc4810a91112d2bb7a67c8079acc08379d1fa54f64e9125","candidate_id":"sha256:e9a964f90638d2a52db82b3f5bdb6a283eaeb0671d0c5ad9c049fb1da08043ae","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 5, 2, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:17bfd9a4093c4f5ff63520443fa80abca91e807c7e5704f7fd32a905453fe1d4"},"sample_id":"sha256:6b8c321fb655bde1399d137e445997adfc41911f5272debbe4e38bc780f21b10","source_transition_ids":["sha256:222a544a42f70ae148c2821741aec66902118c89225475d5182be859bd089753","sha256:27549e56d12964c0efeb9a5a748cbd14a7423a21221fb10e16da293f00c2143f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000324","trajectory_id":"vlr-formal-v2-0000324-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3eeedc4b5fe460a49b7a885462aa8c14265f60d611f26f03aeb6fbb00eb6ac3c","candidate_id":"sha256:c0d4e34f70e1954fad4c6c0079190222dbb15ffad66e16b01b0c038b07e02679","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 9, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4ad91d2fb83e51930d2fdb7ce9be1be16f6f4d30ed9107da93c224a7bc64e4f4"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:202878da3df4736d86e1afe99f5e6fc287d2f0f4ca411e158fe80d44c2f7b4a9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 9, 7, 15)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:689556fd3bdd7439304b1641beec10197d1ddf7cc94389391f22258937678992","rejected":{"artifact_digest":"sha256:78880c99818cda19b1a045c80201ca1a24397aa44dafb4f5d1e473ebfcd2d672","candidate_id":"sha256:b149dc730465ec9dd8025284f1638035fb86eb79f4cd324a1e3003af852dedba","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 9, 7, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f8d8c4626781501e3fe7de7d37f86392856325025a6c2466247547e54a37b689"},"sample_id":"sha256:942bd75e304e610be79f6917224a8ef04a3b03a5305fb3c0599ad177f98fdf56","source_transition_ids":["sha256:3768f83de7af7c99e5f36b8d7d759f4ab72e660edf63d11899e483aa653a1ade","sha256:5f1e39bf84c060deb7394a3fff1fe7f95f1cfa0f7587f774ec9987b464c6a0ea"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000324","trajectory_id":"vlr-formal-v2-0000324-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:19c3d6a9d660afcdaf4b1d9027e6578849eb89116d84538074225246260a2e78","candidate_id":"sha256:519f3f7483fb2f70a69fc4572e4cbb7c95c09990973b34526d217590ac67a663","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3a3970f7341c31f998aacd4fd3dfdea1b09dece038c0afda06fa5154724b45c2"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:c540cf2e7a93e3306edfa688783684e1992e7559dbcb91c71c674b0a08ad9663","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:76197cbd74a22621b737c29f59c8210e4fd614bf977d7d70c9c746429291f358","rejected":{"artifact_digest":"sha256:e969a2dbc6fa9ca8c979ef7e0c91675df490cfbdd9541b0ae1d1ac84f469262d","candidate_id":"sha256:38e61a7e44b97d36f8689dc39d5e269801392407a4fb7f561da60ea556ed605c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (4, 6, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:974ad16621a93185ef545b9cb3bd6c1cc67c18708fa8d96b72484236e39863e7"},"sample_id":"sha256:89da58aae7aa1c9fb2b2a330c66baa7306e00bdf79f07536163f8758d326340d","source_transition_ids":["sha256:9874e89edb2690e84e69a85c3c037e134a11757495aa5ea7ecbc764988e302c8","sha256:c7fbbf617d6374d4a88140a6bca62bc015351df2b5e4a058aa934165ff275391"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000325","trajectory_id":"vlr-formal-v2-0000325-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:849ed1e8251bde409156c2df5447c68ad88616a9645752db8ed0b656f690ac4b","candidate_id":"sha256:a58b1373966ee0d501cfd2c5abfbdc5429fcf68a2f1d27b11470df34a0fbd0a3","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5aa024bdf522537ef90f949b25cb6c5751e6541babe21620c34b054e49736d12"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:519f3f7483fb2f70a69fc4572e4cbb7c95c09990973b34526d217590ac67a663","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d69e0d37874fcae22fe160e436d0805f3bb8e7456feff5b780ed75f655866ed3","rejected":{"artifact_digest":"sha256:44a72f831cd19a179e1b102379344fc3a1a7b5044e3334f15c7ade153bbe6a07","candidate_id":"sha256:662db2bfc650ddf21595ae1a07c5a55a477774381dcb469c5068f60280812cc4","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:86aee8dd41a4642d7366c26804b1b1e75565d01f08c70eabbda1a94918f82015"},"sample_id":"sha256:878ad2f145739fc9ea2653e485c63e1ab8269794d246b9996e0041ac54f643cc","source_transition_ids":["sha256:72b44fbadb4385c1df9d294c666a3c8a072768d62f7feec1613d99780ad0e421","sha256:8ec992b7aac8662b34e07b52966951c4398f819017948e8f62ade3f21a6af58d"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000325","trajectory_id":"vlr-formal-v2-0000325-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c923826c6191fee7ed95488a50253d78bd86258c4f9e7cac1e7b2cfe37126d37","candidate_id":"sha256:67f0e464edb0ffcd6623f9db43d7acf8ecfee860f892c4201794cd146282577f","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 4, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:bdda1d8432091322ce0323892f62ae195c2547787e554be7d9cb9caa0e715b71"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:a58b1373966ee0d501cfd2c5abfbdc5429fcf68a2f1d27b11470df34a0fbd0a3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:962b552972d733fac34608afaf1d72a23b1668e65cc08c5bc8dc6dc64fce9246","rejected":{"artifact_digest":"sha256:28ab742bb6a68548c613ed22f0764da8b7ca0cc2c86d46b3b59b8302658cac68","candidate_id":"sha256:cf99e0bf0a38754d56920370ad8733a32e991545204b558717691e3d87e03114","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 4, 1, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:d963eab15dbb3be674a7122289c28010e55722f2c6cc9702f9b75a899418a701"},"sample_id":"sha256:ef2e35406473e67e743c48ad754d6fbd92a5cb274a24fb0c86e2501af49bd022","source_transition_ids":["sha256:20ff2539247091accd5cdb9a59edbeef7dd7c06c9ed006f1a9dd599f3996bfd6","sha256:b116ac23f4fe3b9e447471fe60e36c584cde139e37aea201d62c824eb378be43"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000325","trajectory_id":"vlr-formal-v2-0000325-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:eaeef99dd73ca0ed2a4325232f80d887ab4e1c8050cdd8e0626621c7aa5fe6be","candidate_id":"sha256:0b5ab806012092b47bc732fcbe6cce2e731071a3a67fef1825c9e4d3f94889f2","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 4, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e40fee05b743c52c3c53cca4c5a6fec1610a625405a98e387014e59d86fcba99"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:67f0e464edb0ffcd6623f9db43d7acf8ecfee860f892c4201794cd146282577f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 4, 1, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a818cfa230a1f18aecb0ef705adcee419e378a00cd8aca6a9070b23427e048a6","rejected":{"artifact_digest":"sha256:e905b280cf47333aaa6c6ac11cb44005e8df8be5282e3081173a7aa0e2a0d05a","candidate_id":"sha256:c42d9fc1a012407ddd30278695fab21e3aecab39f78e719bef62204bf30373a2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 4, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:39a4d7ef1a9145ba8d9b2c954d042d211b9cef6a7943f9d2d44eca1f45df1e8c"},"sample_id":"sha256:54fe11e5fa22d7ddbe475fc7a24b2de3e51781cce79b4714cb06e1e5fe822b97","source_transition_ids":["sha256:963a683d9e399e8d75b7ce8a09c3f3988b91b94d87a31ea7901999f7fb7432c9","sha256:08cfca69d76d4e3eaea6cc4560b1425b3ead70bbcd18f7c7feb3b5a5875c3b40"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000325","trajectory_id":"vlr-formal-v2-0000325-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fcc6f3c1ea3cb8aab9d21050661d17adb63975cbaec5bd733f0ba7f3cc662457","candidate_id":"sha256:0667dd848f7aadbc057cfba8dbd335dd44835f226134b35ce7354e8c3428a28e","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, 5, -5, -4, -1, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0f15b2c1e5b503037b6ed48abbdfbc02bdff5d60117b43660035f57a673156ec"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:81a42d98ce0952b531b0ad86af8dc7b80b669e1512d9b2cb7f0e71ba59ec40d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:5ec23fa79b38d9784572032f2d32a1681ab90fdade3aa45fbbfe0026c641533d","candidate_id":"sha256:09fde4ae00f24b5de007070db8fff5e2cee22276fe30742efc13c01ea90950a4","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, 5, -5, -4, 2, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c771278b4d5f20f39b833e7cfbadbba3ace26fd010da4da7106b89f9be9a69f4"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:0667dd848f7aadbc057cfba8dbd335dd44835f226134b35ce7354e8c3428a28e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:5ced4e6c568f9519397e6682195a4d5960543a36e25d7ab50a356d6a1f7b7c3f","candidate_id":"sha256:fdb5df03ce8ac7739cdfb663f551b23f6fe97959bc3fceaeffd982fd679cd5ad","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, -1, -5, -4, 2, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d98e9954a1e1cb7069a0a1fe1647bf615d499420beed12d978c160a3dc9f885e"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:09fde4ae00f24b5de007070db8fff5e2cee22276fe30742efc13c01ea90950a4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, -5, -4, 2, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:abb4daaf178742ba19cc0277cf9ecb1ec31f1b1a76ea16627bdb17e8743c43e3","rejected":{"artifact_digest":"sha256:62b65bbe37092090d40751b9b8ce37dee463d185af7563539f82a374f4c1e848","candidate_id":"sha256:96d378e8095d1df31a481998e8d333c81dca26a4380afa0b3c638e834d9c70f2","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (8, -1, -2, -4, 2, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:44bf6242354dee161e8aff5a013f50124c1a3178d8ed34377155f84df1639439"},"sample_id":"sha256:cb9a262cd12f2d448949e5aebed1dc2c2bf8eaf6fd2e838ef7e82633bc343c60","source_transition_ids":["sha256:cc79cc540215218aba8122925755ad7899ffe7592876ffd5365454c07c59bd37","sha256:63adec18da0f2b3a0bf085d844cfe89940301d3524b833c7a80963f0973850d9"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000326","trajectory_id":"vlr-formal-v2-0000326-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2d39ba78d0920b81bedcba12b5e14c2b6920a0d024b57add172c56faf34e7761","candidate_id":"sha256:5da1cc3da32fbb2d4bcad5add1e5a322cf06980e9b4eb429e807e0cd0db19386","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -1, 3, -7, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e5f49d566c8cad46843aa6d6c041d4505b9b1e92ff088e771ca63cf27b1cfbca"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:ad4bd8b3b38a013d49cca27b17cdb406ec9bffb78da1465c0ffd5f90b5aed782","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 2, \"output\": 1}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 8, 3, -7, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a6d90262dcb5a5859d7eac81eb0bdbcdabeef5ef0feb8482234445038e5f4ac0","rejected":{"artifact_digest":"sha256:d5af62e27de1c31fe2522adeb90cfb5cc76a1cfb1dde451b4b9ac359d3dfc5dc","candidate_id":"sha256:4d6ccc32f4bf655327f76025da175c0b6b60a9831810ca71cb2ad2535a7cadaa","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, -1, 3, -3, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5d9dbc961cdd3f427d67dd1c9fe624f3faa612bb7327d5b0ef0005ed779f68de"},"sample_id":"sha256:a8475aa67f9f309922f8c5020f3058fbd6d4a4bb60fa759ae4c1f8744c9953cb","source_transition_ids":["sha256:d62f7ae91161c77a14850a57a0fab43f526eb90a53ac527138b1f4dff32c911d","sha256:9f847f639feb5d93bc128f870adf3fdeba721be8213607bf3d7d1c0d64dbd1a1"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000327","trajectory_id":"vlr-formal-v2-0000327-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8d5a2284ae98dc0fad721f6b7c68ed2fc25d5daef96ab5421e5a7867403c9503","candidate_id":"sha256:444ae4433d14c4f544936918039f5114272e6fc6ca78964c48a0e3ae59c1974c","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -1, 3, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e11f8eb93d5f13d6623c25f4a133bc9658ee88750399acb6fba11d9a557fcfbe"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:5da1cc3da32fbb2d4bcad5add1e5a322cf06980e9b4eb429e807e0cd0db19386","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 2, \"output\": 1}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -1, 3, -7, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c8356096565495c983b134e1bdccb0c5d4cb2016269ceca4a50cde858de5c014","rejected":{"artifact_digest":"sha256:afa0e556f845d18308abd037498f47d7f6fb3a922db65f6dd738bc8b98007846","candidate_id":"sha256:0316294ae4fff449e5f84faf3a271f4987df091826999e47203aadf9a1aa901f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (3, -1, 3, -7, 5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c2786601ebd2d7dc7c2feda75478adf45b0f5d8bff3bd0d41c47b10fd22d6731"},"sample_id":"sha256:dd04dd87f488a5b1e2d978fe3466b01a5a5e0284cb48c4d1c77e2339fd140a9a","source_transition_ids":["sha256:4d60c9eeb94b14e05298730974be1d4c89eeb03b773762167b13e989bb1db871","sha256:cd959c02f677ec4133074df3afdcd173be93ec51979c158fa7355536aef1d814"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000327","trajectory_id":"vlr-formal-v2-0000327-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ee7e35ca16a23493bd8da7071860f43e6f82e4c23389a73d258b353c28bcb2c1","candidate_id":"sha256:7e13f2e5ed537d19c964d2e8b9117e834404f00dbfb691033d1c3b42e3950b76","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -1, 7, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ce4a4cf15e208c466ee3c636eff4317de8c89ac5e1a3111c13c19d7c743d46cb"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:444ae4433d14c4f544936918039f5114272e6fc6ca78964c48a0e3ae59c1974c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 2, \"output\": 1}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -1, 3, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7775450c862991d6b5449ac47597fc4017ae682458648d964dc19c6b2f813361","rejected":{"artifact_digest":"sha256:15e729c45b6df8d91100e2bb3590660ee41c4cdf65249192f8f68159e0b75389","candidate_id":"sha256:869f5bf8e28c0dd1045dfb0bda81d2d75d0f962b76b6894e6909110c46f46fa9","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (0, -1, 7, -7, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:89d709320d27012c12efde7dafed4d56d0b2f02bbde82651ed6be3b0926b1c62"},"sample_id":"sha256:1bf4c2abaa14823335485ec5e5e29c35ac16f85b46bae84eb4298a3fd70be52f","source_transition_ids":["sha256:2b053dfb148b3174ec92908465723d33611304f9c787262edc032c23ebd65208","sha256:87166202003536a8f548f96c550f9f51c7df4ba3bb68df0e2384cefd5875b70d"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000327","trajectory_id":"vlr-formal-v2-0000327-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:442a7d2d8ae4dec0b6fd98a4038946cff24edb5cff3d794fe0109850af0a9f91","candidate_id":"sha256:55e641a49f91b58a25617b42eb47a5e2fe5521b7406c6f13c081f630949aeb76","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (0, -1, 7, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:6e1a7a06bf979eaea651d7d23e045c49a92b64b10fc6548dd3d16997ab33dc45"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:7e13f2e5ed537d19c964d2e8b9117e834404f00dbfb691033d1c3b42e3950b76","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 2, \"output\": 1}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -1, 7, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:72ab22b155263ec8ed35c67986886434360287eb186e9009545ff332dacacc3c","rejected":{"artifact_digest":"sha256:ab961c0e3fa588b5a6107659590106ee9ee8b3ff90351dd7a6930a7dea0c83bd","candidate_id":"sha256:b14e12258af14ad8adc25ce2ad94bfdca2f6ba60d05a85396ef79f26924ff7b4","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, -4, 7, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:91528f025ef5b8c46934214dd523f381d189993cbbc5978b02e11b475f9dd292"},"sample_id":"sha256:381298bd10f52d285d89bfc0c352c0743a2b52b39b667fe880202c14bcab5104","source_transition_ids":["sha256:fed6932bc181145992561943b951049b1066e9d0b9f0d870c461cf27c048262c","sha256:ed0a993ed83ae8f1c4a12174c1a6f8c7b26aac2fa5b5ebe1a7ccefb5fcb04ff5"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000327","trajectory_id":"vlr-formal-v2-0000327-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0ef7528a4bc25215e6f89fbcc645835beb87886ca90bba90683812ab79814c1a","candidate_id":"sha256:7b5e14ff271160c94a1e3c4dfe079a4477e47006c3602b6b826cd1cc549e6bb7","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (9)\n","verification_digest":"sha256:efd8e016c0beb86513ce10527230dabbeeea7cd70a2f0c48f933f9cd278def01"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:f66860402b86daf32deb7afdcd576c939742f9504ab8492b902210411348338e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -18}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 31}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6f4043ab97938ef52fde499d7e7254989e0638c78c51028abfb356e92d046cd4","rejected":{"artifact_digest":"sha256:482d2133d991590b0074401c66ccff6fe9abd62e2d83e18fa9ef7c6fbd5621de","candidate_id":"sha256:7b79580c5a8e127f87edbc2f3119db6585af8da5162d5111b1b4c1165d4422f1","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (4)\n    return x + (9)\n","verification_digest":"sha256:2091420f95f921dac223a298cbcdb4606b5651beb2401cb691bf1cde7a804169"},"sample_id":"sha256:42fb49274acf6e00def8fdaf5d1162e445531370b0815f775a1ad53b882d0598","source_transition_ids":["sha256:371b23ee4499980e7aa23dbd94399f5a59a78e8165467ba85f33fa7b2a069d99","sha256:c2bfda6528711e22b7ab0de8916ed88ad70f550474ff44a04e1cb7e0c129232a"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000330","trajectory_id":"vlr-formal-v2-0000330-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fc5a01079d99d0fb5aee67e3b2a212d42692bcec3a7f1999c2451a8fa05407ca","candidate_id":"sha256:ec010ec96262076359d9a2af1835998b111e522fdfff11f84cae4e3e957977ab","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (9)\n","verification_digest":"sha256:3f9c0a8e3c14c8410e2bba98e292491e7b78c5816f2f8a57b92ffda7343f33b2"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:7b5e14ff271160c94a1e3c4dfe079a4477e47006c3602b6b826cd1cc549e6bb7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -18}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 31}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5926af0a43be5e29fe89308ba470e2943ecb106314b92f7b0a926485aa861d8b","rejected":{"artifact_digest":"sha256:6a99805a2237a5574f793f7183daa1e9d6b006acf2a0e182f8a167a6ea3c0d02","candidate_id":"sha256:683936f79370c47012ded4487dfb9ad3becd6aeb30573f0cdac73bddfe712af1","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-2)\n    return x + (9)\n","verification_digest":"sha256:44be0b8403693e7040873a041ad2626741e019d60477e3802cc76a21bd66e67f"},"sample_id":"sha256:39761e8441387ad0a4346b532eaf38fd62af589f5af5f3f9b08cb5525d45eb15","source_transition_ids":["sha256:386685c82bc67c65735fe32ed02d0c8c1f6f11757266fcfcaf741f09d3f02f89","sha256:fc5fa552c53605a930a0422b16a4789a872b56bf59914b8a345981a02588c860"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000330","trajectory_id":"vlr-formal-v2-0000330-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a61f81bf84e3ee259c9f44bd723a3d9b069e6b900e20d7d63dd4c307471a1425","candidate_id":"sha256:9b8f07b07837b62ec69c50a130e6795ec87d989675085681c51e50e23530ea76","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (4)\n","verification_digest":"sha256:464e9f40cea3c6aab1d97942fd6da56900e6b9c708c53599b3c08a8df561b0c7"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:ec010ec96262076359d9a2af1835998b111e522fdfff11f84cae4e3e957977ab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -18}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 31}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a5ab768684f65c42748f55b8d64f54d0ffa97ff82438e585748342036fb9ab9b","rejected":{"artifact_digest":"sha256:42bf5c4056e20e22361e20069b42480f261bcb923a7052c4d97b6b60d48d433a","candidate_id":"sha256:8c0295bb40a11696528567f599a8609e1fcf8b920c4eec5a3a973891f4ba7522","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-5)\n    return x + (9)\n","verification_digest":"sha256:56af65fca09f6ae7a477b075bd8c9bd8b59fbbaff94637e2da0be1555285594c"},"sample_id":"sha256:adc733463c416b9e652b8747f71d252330e4296cdf32105e6b77671d9f1269b0","source_transition_ids":["sha256:4500d4dbb4e9debc90c9b80ddd7d126aed98cfe9637cb5475bf0988788777ab8","sha256:946ff3a92990e28fc61c60287696dae5667bf6aa380a30b3ab5d17ab30e8ed0d"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000330","trajectory_id":"vlr-formal-v2-0000330-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2d4b217e90244b6f282ee676c1a4da6c88a70d9ea5cbd7ef64483027e9f128d4","candidate_id":"sha256:94a2590ddd6daa85c427e3c7cede7b91f030fac2d1a84e7fbd7bb0e6af657f38","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (4)\n","verification_digest":"sha256:a71dc29c0f8cee1d37880fd51946280209e79c9024a3939ff84f1d1273c08446"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:9b8f07b07837b62ec69c50a130e6795ec87d989675085681c51e50e23530ea76","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -18}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 31}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (4)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:975587b457aaee53accf67ff1aa893850ba0e2a6828cbe729f4b6c334b1941b6","rejected":{"artifact_digest":"sha256:9c5da3b55d1bbdc3f4e67d5130f8e6f1cbcc045653e803cdf1c4b35236f10c40","candidate_id":"sha256:6aa30e18e66fa27239aa92bd7c12a560f2f6f5cff3bcf968df4218ff3aa8918c","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (8)\n","verification_digest":"sha256:f5ba2266376466f3d58460d0a51cd980a136df98f974f62f89fbd1449a2773db"},"sample_id":"sha256:6f8da4e26bb6b265edc7e50235cde3631c3692a8b9f9982090ace2c1aa6875a7","source_transition_ids":["sha256:8213e2eb11936f93a0215fa7bd58bb4de4978691ae3405eb2819ece97fe2dab9","sha256:097372d17e28b261ef87e33866cd6f4dd91e4a3280e8d5c4d20ce2abf55a8698"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000330","trajectory_id":"vlr-formal-v2-0000330-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8b3f6f2bb7ef4d26d4911502e820139bb9e536f27e3734b5aaf946ffeb7b15b3","candidate_id":"sha256:c90af9632ff40c6067a8c5e4b188a9fc96f32b625561f848a7a2cd2082fd3a8c","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 9, -1, -8, -7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d74b51ec3ace112a665d45d591f7bd79bbc73ed512c7ec25c0cc44e721a07f55"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:e90f770183534d1168f04ada8145a8610852585b5739c3572b302457ea8f88b6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:61b49e0cd6d7d8a873286bb28f6c22c020a345532321f9482cb1c9b7b21bee72","candidate_id":"sha256:e16406708c4ed56e56247f1770a3fbd72ad7a7ad568991d483e30b774ee558ab","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -3, -1, 5, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a7664e565aadaa381d2821d1c8c40c0cb915d125fe0d1259b564788e21cb03bf"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:ebc6178606d2ea7526fe8bcbec3481e8a7daeae1735c3b5a744c978ad65d04e0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:2afdb66fe989ff1dd542f141de6276e7b2af5f07bd4284a8cafebd64b4f992f2","candidate_id":"sha256:c33e6f2713fbac0d6d7e63485d090f9982599060ddef55bda0551b0e7c88c745","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -3, -1, 5, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:288a470c0af68299ebc2191a128a8a26b5dc20b46ef42c94ca2dc2992e31d510"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:e16406708c4ed56e56247f1770a3fbd72ad7a7ad568991d483e30b774ee558ab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -3, -1, 5, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7d1958a74cd19aa79d729be65de57059099d4bc6c3dd34d5861a4e835360851d","rejected":{"artifact_digest":"sha256:7285610b8cec13ae330370a14cbccad1e9c4aadf34b39e4081cdf1aa39f2982f","candidate_id":"sha256:4c74c99f7d35b37c6d367e890e581e1a4b8131182847c6b10e1716cf959c0c19","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (6, -3, -1, 5, 0)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:983af09f2b583d47add156609c3c93b63149a056e9ee5f5abcad41901ff678de"},"sample_id":"sha256:fb747d885e15c15a7c4cf718806d759563f698db3e8799b9e3f29207b49174ed","source_transition_ids":["sha256:5d3849780682bab3caec7ad111ec986bc5ecce836e2c50d7d4c7cd64ae596687","sha256:bbb13a052e470cbcf861217d1e5e2d839a90b1ab52be1b5fcccacc2a820c18fb"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000332","trajectory_id":"vlr-formal-v2-0000332-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:339c277da30f3457af89653dc62d9e703e6a8581ed7b34e84b148ef337921791","candidate_id":"sha256:cc04f8419b9024164d67021d4ac84341fbad86c553cf03bee9b05b9bc60d4840","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 7, 2, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1c8d2520c1afad58f285330607bf39b1b5a9fd7b197d2bbb3eda2884459f3a31"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:6e502457250fc228edd4af675ff70ecce5986667db1e69419e6606734bba22d4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 7, 2, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:330b892c55590ca5ce663114d64548a35f8084cb9b1350fba964fef61c38d946","rejected":{"artifact_digest":"sha256:e78bb546395be32c4c30548e4edd536fd7c097480a988f90a5c7ec99b4d94d35","candidate_id":"sha256:ff470dd7aa98cecbf1a328cfbbf3c6370b5b294418d2e38ccdc26ada19403fd4","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":10,"improved_coordinates":2,"phi_candidate":6,"phi_gain":-1,"phi_incumbent":5,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (8, 7, 2, 4, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2542cb39c52bd6707f8989cfab32a980690a045830c75840f3dd1361f9ce0141"},"sample_id":"sha256:0a8ee92ebf83b92da4c56b7f6210eb01402c7098111a60773f8d8330072b3d79","source_transition_ids":["sha256:d96fecd71b28cad183e4c378eb1e77f7f2b2345f1958ea53dce3ddf9fcb54c89","sha256:b6beb5ad005e2cab5a722bee124aa181635c9092fdf577ac8618f69aac44c2f1"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000333","trajectory_id":"vlr-formal-v2-0000333-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:484a5eabe9b8ec7caa51e3a99d69dd6f17b60d0d7a9382a2ba6f42336490057e","candidate_id":"sha256:ba81c7b88ae69a9276da2983a83df40adae22639382115ad56aa76e9ccbce848","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 3, 2, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:03bfdae890ae6cb3d7aa2550409740f13c57e6c361e51d8b0832483d81bbe660"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:cc04f8419b9024164d67021d4ac84341fbad86c553cf03bee9b05b9bc60d4840","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 2, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:66781b45b6a2c85dd3d4838b8192d0e7742ff377ee0e70e640de75307326b61c","rejected":{"artifact_digest":"sha256:3df9dbfc15021baa3d16707a127c2c83093440b83e9b8a37125b906cdd31b96d","candidate_id":"sha256:acd0af9ddd51129f7be6cd6b3f94aac683a3bacbc9dbd12dc6e93fa04393a221","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":10,"improved_coordinates":3,"phi_candidate":2,"phi_gain":1,"phi_incumbent":3,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (4, 3, 2, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:98a24a543c299353a503ba5bc5b3edb330420397b6d59d0b27a617a0e9594d9f"},"sample_id":"sha256:0e1742ab34bf78e7c84786397eb91b7c3e65d2244dfbb2f95849e803c8872610","source_transition_ids":["sha256:a20c87357916ddd9a2cc4641685de93e6932876c732c9fde86e011925867e44b","sha256:f7bf94df2f7e1b4817f007a5a69cefaf438e08454bbe587c7f3a2b3827f4bad1"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000333","trajectory_id":"vlr-formal-v2-0000333-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9e61b6279d872ac9ed332ee78f285cd2d23d2ed4b8021bbc95fefb0b8ce05902","candidate_id":"sha256:5e8266656cae1c20b0d32e7c9f05e41e7dff986c21ecbc983632c90534fa08e8","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 3, 2, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:cecdd9d8734487e18f6f1acb29d8154d2e0889e71ac3b723ddcc1472b20596d9"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:a34a3c1b2f61d2311ce2c66c570698ccf9f38950d59f3f8b9457d2011b50c9b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 3, 2, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1762e012606c9cc123c1159a1084742f98531f4510b180e94f455e1dd7e586b7","rejected":{"artifact_digest":"sha256:273dc7cdccecbe99b09c12377f80b0247186998573e8e5da787486e26ca36c7d","candidate_id":"sha256:8dd8afbb5bea1929da14022c0ccbfd379f9ed62462a69734b85608d214ab7828","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (15, 3, 2, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1d0ae93018b9bde319207647550e0e28c297ea3edae8db0dd9958296bc537761"},"sample_id":"sha256:e98c5afc04d9fd4951b0ea43141b56db9c421c8cc877a881bc7b188392cabb13","source_transition_ids":["sha256:c937f63198899d9b590806d6447e43c48b27acf1c1a34abeed7301c274c5693f","sha256:a71e8edc607cb5cd44c4fcf76bb4b33443187f227614bca7f98c1d426a202a94"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000334","trajectory_id":"vlr-formal-v2-0000334-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a6848e81eb2e968aed982b657241a99e28f1e06f44d7848b2feb1c018352f606","candidate_id":"sha256:9372eab7d5b7b608c396292609d4f6832d1dde4d64ff0a29038d423468372422","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 6, 2, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ca34ebc7dee30abbf23298c9efcee6f61956f302b0c509bc6692c0e8411b550e"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:5e8266656cae1c20b0d32e7c9f05e41e7dff986c21ecbc983632c90534fa08e8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 3, 2, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3b81c38f8cad2c274202b8bced3b80ce5c931b8a06d14b952e0974943a2050ea","rejected":{"artifact_digest":"sha256:f99209a985ec581d002c88716a022a23abbdc72e1429787ee62fddb1ee4640fa","candidate_id":"sha256:d3d3e912757af0b9438d62f9377ec3e9614b5e495ade53863e2a9bd2640f14d8","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (13, 6, 2, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f6c18096f01fab47f06a8b943413c79d90458be5f006b38d803d89435359f77f"},"sample_id":"sha256:91e7863bd261bdb909e60ca1b9e335f52c49adb7ab01c34d4c8062abdcae32c0","source_transition_ids":["sha256:5264a5ba936c976caaa1f84044ddb7939a317ba86cfc6aa698be192b883ce7e5","sha256:59ea499f12a6359a440b1055b3405c47c8381e7ba7872bac13bc9143dac3cb6c"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000334","trajectory_id":"vlr-formal-v2-0000334-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9f46dcd9f7b03fa47855d84a8531fda396a1591c234e236a289cd030829d1c54","candidate_id":"sha256:136dd16c24bd72fddb0fab1e1ad6f241876a163e8cbb5ab5eb9fb4e63ca25d83","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (13, 6, 2, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c6c9b4d4b81f4997adf4a572a9222f8646eb06a3b9772111223268ed24e2be19"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:9372eab7d5b7b608c396292609d4f6832d1dde4d64ff0a29038d423468372422","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 6, 2, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3bad84d212177d135388b62e08aeb56cef77f3ffb717569c783d4a8730973d68","rejected":{"artifact_digest":"sha256:e7dddf57946a6c958b4c9be2011bd549034a3f08dc8d8dbf45a907849110c488","candidate_id":"sha256:6b6edf4e6053a4e5cfc220a23514e926a7fd67464d9ddfae0a1bd72d48b8d530","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (6, 6, 2, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c3f4280132e3a932a414e36798bcccc4e986019bab42e642dda2802d0eeeb428"},"sample_id":"sha256:116415d677b70ce3d3939dd3481db91c5e11c07eafabc4a50a3dddf8d2df1ffa","source_transition_ids":["sha256:f1fb82153cc5ecb8014a51cd84293677dd8f7d87b3d0f585641d51d2c0387b93","sha256:00db16ec52c2577afbd8cb29887d48a6798e4b25f99ae233a0d5314db1a4a900"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000334","trajectory_id":"vlr-formal-v2-0000334-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e64910327fab465e46ce2ee107439379d8623ffcca70779440647f7044c704ae","candidate_id":"sha256:0c16820d801fc1819ad6baa35c4bd473fc90f529501fd176f40a1e24aa18f1ac","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 1, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:04cfb181d9d0bd3ea8c835611c7883a25f8a48f1d20104472e2e8e145fcf278c"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:912374e76ff57780a0ab77bcc279d23d0a1eb238479399b712d0100e1cb530db","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 1, 1, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:24a6b1a0b4011a9568f265b8b45aee290d79c06fc0c568e01a690e684f20fe06","rejected":{"artifact_digest":"sha256:0d0f770181adf345ddc88a56bd1fd3d11ca5400a4050d1fe8c9bcf2cac10d02b","candidate_id":"sha256:8cfbafa0200a70b7f126ee12e878304a250abde4c11962333a8fdbb52a9a6a2e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (2, 1, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5551e9c1dd46022651e6e94fecbf15368bbb403c84deeb769cd8853a4bc8a433"},"sample_id":"sha256:e5e07d8e0984d5990848747545418744be316da758c8859703e191a6b3270396","source_transition_ids":["sha256:b83aae9ca95dfa7eee79031a809279aef5ecafe6130e0817f20ee7cff29d3c2b","sha256:2c87bd797f5f341c0e81978e842932da2faf2e4c3ec3ba5c58b3ee3fd3ce846a"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000335","trajectory_id":"vlr-formal-v2-0000335-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3d7ab3bfb54a4aa169391c5320ac26da5bef21f42811678a82fd2d2a99256282","candidate_id":"sha256:b96407e26cf444f0e57a9ff1fddde8450a2a3db9f3c86d00bff8de7a65e96860","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 1, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:65641f74858144a01a4623be155bbde947b9a85cb5e765bb27b113f06a01b644"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:0c16820d801fc1819ad6baa35c4bd473fc90f529501fd176f40a1e24aa18f1ac","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 1, 1, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5f37a1cad286b385a70d40c99066b219ed9a4c5b3bfb1d6ba481ba0335e955f6","rejected":{"artifact_digest":"sha256:af1b3206bafc8b8eb3d266319e382217fefcec152796931e2c77037fff3c1f52","candidate_id":"sha256:07158920cdba3fcd690176847aaa593b3436f12e7f78126615204ba2eeee363b","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (2, 6, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a10c64de3b776f43fafbaf9c6c7038d87f989f602ca308bb86857bdeffb9b6e8"},"sample_id":"sha256:aab584e8c5b1c96a4d050d14c4ecb3b3d43c0d41a4fc876b4d78b3efbf2694bd","source_transition_ids":["sha256:ac091b0ee1a5ce4220eb7638379fb2109a8ef6a6aca9164af9ad9917ce8375bd","sha256:87904d764bd38f1f6c8bbb77ac5a4cd534707c5459bc6841967fccd37d5f7f17"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000335","trajectory_id":"vlr-formal-v2-0000335-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f2fbfad27a0f79d290656749a30f28d735459492fe37702a699460ef0d120545","candidate_id":"sha256:3c635f42c5f234c818e38de23c13ee5b04986961b9f60fbe2e910ba742805323","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dc239651001f930217088939c1b9e0c3b409fd344ba51b28b33b5fb300319447"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:b96407e26cf444f0e57a9ff1fddde8450a2a3db9f3c86d00bff8de7a65e96860","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 1, 1, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5d6645923ecac3c6c4dcee8d24e80cfe580a57c12207bed08e145cac16dfd172","rejected":{"artifact_digest":"sha256:ad3388a6e9f55e0cd7879eebd390c53b3827ac0c16b86ea40187f08675a6e88d","candidate_id":"sha256:889f2fe5da7ccf29110269fc56a3214cce28145035028fd0346f819589646036","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (4, 2, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2ecc7cfe74a405ce2754a2af8742c2d49ab01a5839ba5ca0a935f6aa5ce46c89"},"sample_id":"sha256:83ec5dbe98091bb8c021211c7a53b0ce3857f18b6995b7c5ddc8f38ec791ae8b","source_transition_ids":["sha256:e8ef6993ac28a24ca46452a5dab89b44fff37a938164567bd5f3d30caaf3c4bb","sha256:f612885ffdbbc23ea756db202c9bbcf14c164d0ad0cfb9d5d707e0094c13d5fc"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000335","trajectory_id":"vlr-formal-v2-0000335-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2c46892e9c59845d45c364b6f56d7785237889cca9c74910012a479a7f121f3d","candidate_id":"sha256:d755687840b02dda68f0291e7753c62f062249bab49729358b9bcba30526be6d","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 6, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c78d53492619658cce21a84b4a75e291b82dfe80c729cc8c0167802a51c6f4f6"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:3c635f42c5f234c818e38de23c13ee5b04986961b9f60fbe2e910ba742805323","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 1, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b6e2ebd64f3036ca54be2a60fd41208e45772db61dc936a09ce545daf6a820d1","rejected":{"artifact_digest":"sha256:102380d661708d68cac579f7247bc4acc660f4e705b84446ea38debe775d05fe","candidate_id":"sha256:b906fe91e0ffee4558f9fb37460edd656cadf1879ce8388aef92278f4ba8aadf","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 5, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3e1824fe59ad60b1596845b124f6069a2e5960c963c372cc71208d37a63c1ba4"},"sample_id":"sha256:3326df9bda935749389d44802d347598b421174831e16c6ca0f02f9e51613c10","source_transition_ids":["sha256:0fe4bd50092de9bf6532992b32470914c4beb1222361a79a9c44b07ea6e961eb","sha256:4c41b9e0e236ee30ba0115d92c340381440197bc1c8b4a72b1318efa94c37928"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000335","trajectory_id":"vlr-formal-v2-0000335-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d6787e1f78311fe62b9619bb1adeceb94cdb9567c6dbe537c37542b16c7df33e","candidate_id":"sha256:03ddd0d28eebe3ca10ca345409161b09b7ad0289101c3c82b68061b7d38ed90d","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 0, 6, -2, -4, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:badafa8625f4a8d40910ef23c80ba5f0da3ad8aa07e14acc58feec45cd5e3744"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:53fba2f2e273bd6625c5b470fdb4763d3ca72f518cab91a52c31dd4732c440b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 0, 6, -2, -5, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e6facc811f06d9fe8626b1921f9e62b7fac92a29131e570f5c3a08feb64584e8","rejected":{"artifact_digest":"sha256:6e906e2d757163fb082d4c0baca11bb856b89da647eab82940ba4c8826e29fc9","candidate_id":"sha256:bf1d53da8acdd36e5c3d760d39bbf7e94bcd285de1dcfa43d900633114a88810","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-1, 0, 6, 3, -4, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e819e8445ff8f0e0738fb07133e32a9b1ca8b5c6ca99b235290d3f7088b12134"},"sample_id":"sha256:b93154b0ecd6ba91e28a9d1670c7fe16b990f5eabc2f18b51f75b5c7841d6430","source_transition_ids":["sha256:9c74bb07fb63ac156d87852d4af6282703e8571d4ec0b76236858b783f5d399d","sha256:f7013d729d2c910c29709e6816e5c66a8a242389436243538ac6b959ed248b60"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000336","trajectory_id":"vlr-formal-v2-0000336-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b005a2619709c63ae43f0d0e33c48e64332dff526cdb66009dc0627d47f5ade8","candidate_id":"sha256:6e767e74ec1b592f49d0eefa227dd3696d1dad7d261ed3f1526a17eaf1b85dc8","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 0, 6, -2, -4, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:cdede52a20c8aea3f556bd38fbed0a2f23232a58a209333d00b040f43294eecb"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:03ddd0d28eebe3ca10ca345409161b09b7ad0289101c3c82b68061b7d38ed90d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 0, 6, -2, -4, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e69984d4c7ec230b71ae202e0a35e9eb10156fd1a1d114a6fcc52f59555c02f7","rejected":{"artifact_digest":"sha256:37e1382d27732b4bda127b1d8fab7166f3dcf6b1e392604aaa8e9707141b8786","candidate_id":"sha256:4ba4487133f7d098ba0a4fcbbd5ddb936fa710cfff53d588e0dbb46e09834285","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (7, -3, 6, -2, -4, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ecb0ad3082e021ad501006adfb8b0b946dfc720ab1097b2462196ca401c041ba"},"sample_id":"sha256:5d0eca7cb0b822643507677bd66815add5e8abd93d6d5b8222b9d2f18c763d0f","source_transition_ids":["sha256:a7e5784eb81d2d9cad9a8dad53fa6ed9d9afb6913476eea2207d489aa2870677","sha256:18d7db61c7085e07ccf1757bfda056799c6a04e7327a1fac54b585ca15018dd2"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000336","trajectory_id":"vlr-formal-v2-0000336-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4681ad44724a5bd6d5a473c59d75edd42778bb31f2dd89fc6ce71a2d87917008","candidate_id":"sha256:8a782b923d0b02548307f98012b92262516a5fc31d8d2af93716a3c86917e103","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -2, 2, 7, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:fc67f86e5b842a6a3a67d84b44f7866298904474497edaa652e0db7f3cf67e91"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:636a2dae5141070c54fc4909064dd4073b3106701c13cb44fa32cc4873d26518","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 2, \"output\": 0}, {\"input\": 4, \"output\": 6}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -2, 0, 7, 2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f5deab3f4dd19fc6f0f18cd93d9e56f917517b698ccfed5023ed0483ee43a602","rejected":{"artifact_digest":"sha256:7f30bd0abbea3fc4614a91af1da0b7295102b984f8e7861448948111ba6de36d","candidate_id":"sha256:6bbea0f8a30e8ed1e15738fdfb22df1d0e9a8d79f0bb73d18cd6ffa975d50fed","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    table = (7, -2, -5, 7, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:248c1c9fa600cad337f7e2fff46cd6b1fd846bb877c3c6d79dd3aaf01aeea2a2"},"sample_id":"sha256:0b35d80965fc5165cb78273b4a9f41642b43d0ceca86469076ed45e12167da58","source_transition_ids":["sha256:463ceca3eea98f4d527274894f877195facfd963769c5cd7d1cabc9e7eb5aee5","sha256:8ec31a258eb58a8c02d268d456f48bc274b5c8bbad59be0357a9949d34cf7947"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000337","trajectory_id":"vlr-formal-v2-0000337-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ebe73aa5ecb01da7c8185e614628cbac96d936c07a6f531c9ea62cc931a14242","candidate_id":"sha256:03a251efc1cd03b8945f30ae8144c7007b14355e1edfcbc666c8faeb6d5f4111","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -2, 2, 6, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:42186b4a8d68f94e268901da714a4217c420f803d8a13ec0ce3df66f3361c2a1"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:8a782b923d0b02548307f98012b92262516a5fc31d8d2af93716a3c86917e103","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 2, \"output\": 0}, {\"input\": 4, \"output\": 6}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -2, 2, 7, 2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6c7d15268ee2f707b46fb8bff78332c2c59f10f75ac8eedffc146d4f47e87f1f","rejected":{"artifact_digest":"sha256:a1bc80a645626fee3c615136ed4ebe56ecec5160cbdad9e95d878aa4c6b09e77","candidate_id":"sha256:ba8f4cf57ac517f56c73b1c0dbe3cb2af9b38b81f60d38bd035c44e8e9914f1b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (7, -2, 2, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:889c4c3b96cde887c0b3a69ea48aab14bc0ba870acb0f91a4afd831967946c96"},"sample_id":"sha256:fd8206b6c1501f366232df7bd696a88a279512393df68ec529bfe36cedc7836d","source_transition_ids":["sha256:7fdf5dc934e6e28b939a3835187ee57009e75e9186b1d4d3f0927c87863f32e9","sha256:1aad85811ab21b93a872e9eef86b4ecdd7fc46349feafca36e5597e970a7c1ee"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000337","trajectory_id":"vlr-formal-v2-0000337-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:452520c73c8222ee68cf79d236019dce913749e139b0c4ec9d325077a196d0b2","candidate_id":"sha256:7015d84986101f5427d164f1cbc3134fef0add8c13f75ac68bd0b9738d521d83","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (2)\n    return x + (1)\n","verification_digest":"sha256:5f54cd5796990dbf8534200e6046d9479b2b6dcc4a7be36a0f8445ddcf7a5b6b"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:26aa77a58cdf1a7994b2d29be18f7b9a8553cd9de4216a0739d23075c1ff6a2d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (2)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dda1383869fe44e8785a4c70ea45db143d9551baaf6ef31ad6b6839a10c70384","rejected":{"artifact_digest":"sha256:88b331ee480fa1f62e05f8653c39e930fbcbb1545b60f4f6c15dbc6539617b05","candidate_id":"sha256:435b62e12d920040b3e27e1736713c0d8d7f9b36d73dc5f1664d576805954f5e","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (-2)\n    return x + (-4)\n","verification_digest":"sha256:445a18e2609a1f648e0b259b17255b304fc15ac8aed7c2fe1b6ed5f8051c2835"},"sample_id":"sha256:7d1603d68216372238dbbc9fe47fcbe437780103f160c801fe5be1a012615fdf","source_transition_ids":["sha256:f89cc486a6556fd8c9508edb799e1800fd5c0bea79b52f643831af53ac2111c6","sha256:8aa9ccaf4238c10a6ddbd9a8cc1dad0730e2b034f1484b579f99f252c90cc89e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000340","trajectory_id":"vlr-formal-v2-0000340-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5e987b30e1a89fa4fdf1aaa6c2d30da65bda18f852ac307310c14faa219e2900","candidate_id":"sha256:673765cf446e1650c5c4b0cce896b565ddf7bc1c2cf367698d4d5f4ddfed588e","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (2)\n    return x + (1)\n","verification_digest":"sha256:4bd34cee331d20fd0536429a888756e27523b275cab7972f3ec0ae405dd8c409"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:7015d84986101f5427d164f1cbc3134fef0add8c13f75ac68bd0b9738d521d83","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -20}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (2)\n    return x + (1)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:beb64eb6833c8822dc2491986960e5ef5962a772ee9710ef8dd3b07d1fe1d2b4","rejected":{"artifact_digest":"sha256:69981bac4839c094f656c8ae6666f5a0bf5c792d67b30584a53863c1cfeffe55","candidate_id":"sha256:faee20dc96361c6efdc4ce81c8a43816bc1f328430e892bbe26935e21b5e5f6e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (9)\n    if x < 6: return x + (2)\n    return x + (1)\n","verification_digest":"sha256:79c793a184186b77a82b0fc3cc3fbd7ded817af92ef28c3b66a8a0a9e159c06b"},"sample_id":"sha256:25e1cfdc678ebac157135755684d515a47b36f0064ec83ca3d02a42877994665","source_transition_ids":["sha256:c902f5744e2e48b05536429a438d5f06cde7d64399a8fb5810d691217d8764c7","sha256:9260e4caf783b022d9016df1e11aa68226dad661c7cf7eb3b80ff4fe68948955"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000340","trajectory_id":"vlr-formal-v2-0000340-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d9c8221427ab0c01ca32c39f904e0e06ebd505c746521af2152ae25ac7810e98","candidate_id":"sha256:48570aed199ac8729b69b5ef47c8d62e84ae80f1c2640880a7d4f4048580e040","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-2, -7, 5, -1, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f546c129c965cd38842364021edeb9b8ed03623347c20918df879956c50fe996"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:6b64dcdbe041bff0cb1b7f90dbccb8f5d9232fab51f34ce4df298a93ac9eb7ee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:ef31e56282bb654618a3e0d495527f3ddb9b8bca632227866bc5118f9d7cdaf4","candidate_id":"sha256:94b3c832b3eb31cf858f63eba8fec68e39189146b6d727194eade33e4174624a","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -2, 6, 2, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0379800589c0dfe093a663811a273e1e8f33592fe70d498ba6ea43def14466da"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:6c1724f54fa891619e22da23a1aa899dbc03d676f3e28ff95997e189bfa65247","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": -1}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -2, 6, 0, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7e63bf2a5ccd16f2013ca19febe3b3ffeb6ce1649da06789b28edcfe293469fd","rejected":{"artifact_digest":"sha256:92d71ceb8d653f019ed2bc9d4fbbf03addb5b8cf60d22a87968f53bc9d3adbea","candidate_id":"sha256:abfa7d60ea2be502d4e1a2f2de883e67142971ad3f2efc4aa70b20deedd8243f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-6, -2, 6, 0, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ec479d9ecb81b3a66acddc4415d0d1fda8438c60408f0d85809dc655012c36e2"},"sample_id":"sha256:c540ca299a68950e3584c4b2f50fd915b17c140e31d5c8edf2b84a18c38fa9a5","source_transition_ids":["sha256:5b2b8ffde11d37f5016bfba6a6e7dc7a50aa8d80de4b31bf337e4ed666140b57","sha256:5152531bc85825d5cc1f3eb459def9bd814fc0ca1df111b528223e5de6ebafd1"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000342","trajectory_id":"vlr-formal-v2-0000342-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dbe98a74053dfa158d2eff32ff4e428138170bde6da5d87fd56013901e8df24c","candidate_id":"sha256:0bdc77dbc9072fbc022a734db4acd9b63ee62fc6c63f73a3245fa7a1a3530e7c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 3, 9, 1, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:069b8edc15eb303f8fc77fa8af2413971ba269d34422819f0143b68f7208e311"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:e73cdb2876bff9ff36431347771c45b833a2ac8317b22c7dcfee29a18fa53af8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 3, 9, 1, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9c1b9b0375705c14bcaea9bae2c7170b8bb6550c8d7cfc15b26a040fef692a77","rejected":{"artifact_digest":"sha256:0d9d0104ac4fa3c8231cd94de81d509b3e46dbc1d78d67c51638a111621894ca","candidate_id":"sha256:c317da70c3d0a05776cbe737bcf4f45db4ce860b82e2d9c4f0d36ea090b5a22f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":8,"phi_gain":0,"phi_incumbent":8,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (4, 3, 9, 1, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d7473e29cc63422eb8eaec142becb1672b045fe06e798d14b6268451cf1a2457"},"sample_id":"sha256:1a892065062b49875c0110c4cf91347cdd8250807cc1bb768bac6d20794cb1a2","source_transition_ids":["sha256:ec42d73f26050e26048f5a3e1069d63dd6fdb91d4e89505d262949774a8e678c","sha256:b31476f5d7ea859d0923e49d5702b26006a8c18a4b53986953b0776a8d43876e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000343","trajectory_id":"vlr-formal-v2-0000343-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a9396d6c3a2b64b931de57ebe7f29594c7d9a0e1b265904ab913b54840b7d397","candidate_id":"sha256:42f79e77dd53e384464c64d473ebe5b288efad43e82791c7b80960ecf30bae02","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 3, 6, 1, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a568be000050570d0561acb305d03c1c3535359cc4124ba5952fd3e07c33c6a3"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:0bdc77dbc9072fbc022a734db4acd9b63ee62fc6c63f73a3245fa7a1a3530e7c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 3, 9, 1, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:47e443c167b5c3501a4a1ccde6fdb5699e92815d1f762ad6ea914aa5a6444ef0","rejected":{"artifact_digest":"sha256:2c6a748ab4790267d7b7938572fa953b78090346e16f3578fe8315076c58c3f3","candidate_id":"sha256:5e468457ac7dc2ee740568da253ec19ef55e728c86509e4515a23ca2303df4f5","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":5,"phi_gain":0,"phi_incumbent":5,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 5, 6, 1, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:fe202ebb5bc6c513706f1a91158023e1b112adb93b9e98cfb7eb38c2c945ef9f"},"sample_id":"sha256:74819ec49ca103f21075d18b9297435058904ce7ae043f8649c2579a0d48212f","source_transition_ids":["sha256:371d4b62ed818db02f6860a54c49df110280edeff0ef115976a94c6fdda12095","sha256:a1f5e6bd7bc392ec4cf986c7a02af3747c5a21f861081a9f75d5e2829fca43c0"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000343","trajectory_id":"vlr-formal-v2-0000343-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5d24bc5c29e138a09f891413054cd8e0f405d07636553a10bf192e4c644221f7","candidate_id":"sha256:1469ba85f038a26594e4797bd131607e8e2b6218c7207d29925cdb8b85bb5e85","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 3, 6, 1, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:689ca0ea5e6a092c3601bd7df8588d7a76342c554aaef0bb436eea7e1cd1b78d"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:42f79e77dd53e384464c64d473ebe5b288efad43e82791c7b80960ecf30bae02","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 3, 6, 1, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=13\nfailed_count=2\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2703f783bc1056eb5a8d1cb56b78770d80f1282fe93c9e3ebeb03cce170f5434","rejected":{"artifact_digest":"sha256:f4a53864a93571995fc6045c394405edc4ca263542868fccea05e10860a1bd84","candidate_id":"sha256:716bc5e755f4219042482e2e28b366e6544c70a7ccdcc42a6d4b5a8a9b9cd114","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":2,"phi_gain":0,"phi_incumbent":2,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (2, 3, 6, 1, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c05505a24ebaa569e087719da442c267e36696fda70091a34a07531b21e99ee8"},"sample_id":"sha256:517b4ac7bdfdcaf4e47ae081fffe6d02f6d4129c28f9a0a65206d3257d297199","source_transition_ids":["sha256:5ed81eb8e268aa58ee0c0362cc5bc0b043792362c510c6cbf89f69b24f2cb166","sha256:ce70e8da3bb366e34546c5a87c86037a11f532bada2f794154105a3f9b4d5b8e"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000343","trajectory_id":"vlr-formal-v2-0000343-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c609a1604c8bc2f18215f5c5aa88fc0b81f1c1375a9cc8493c22ceafb92a7f28","candidate_id":"sha256:a05fab6870f8ca8909288d87c0de550477b35651bc8b67a7c8ef4bb651ef7548","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 2, 13, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0d8298c3fbf6603b6df1af7444c458a2615ac7c6909e74af7e24cc751227c8a0"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:eb2799db3a6c8c690e4d6412b5715b63516f4307e5cafac276494e87bcce7b16","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 2, 13, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:90f3b4e4fb807d6ae4f8a91c38dfe589a7773dbd4fc81bf30c7af82d42ef1544","rejected":{"artifact_digest":"sha256:4cc510c8cfe3bbd0445a7104603a1fd8915da64be12181f46aba95d02b930704","candidate_id":"sha256:18a31ba60f630881d5d0546c4618baa61ca0d03ec05ded3c2fe65e0fcdedc923","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 2, 13, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:75942117eb70fb2fdb9e31e304c5700d005e8d8fd320f22f1bf25bf1ca935336"},"sample_id":"sha256:26925920f47b90b91ca4bd62e8a4e3002352f10e1024d5e62bb8d3347dd45ac5","source_transition_ids":["sha256:3218b5d5697e404d097b6d432c20426f168c7daeff9cf6c62822b4e6fab57187","sha256:c451e6601d9681dda58858b137110603b42c8acf5eff074f8644a6795f808e55"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000344","trajectory_id":"vlr-formal-v2-0000344-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d8ece790f3e1b28cb65686d19746249bdc2e403480359f760c7ac2c489912f15","candidate_id":"sha256:7219778c3cb6982c27e08983c2700774f4696433b4b89d4a14c91efc54504cde","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 14, 13, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:86292fc7e7b6719f65877d49d1c3275718e78def449453e1c14be4d3589599bf"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:a05fab6870f8ca8909288d87c0de550477b35651bc8b67a7c8ef4bb651ef7548","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 2, 13, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:215cb77a6c5bfc821b8c8733a7175b0e8aee0d4414b5d84ab133ae5810126e0f","rejected":{"artifact_digest":"sha256:1ccaa99b0fb9ff9161b2e956bd36d5f30246eaeac82b420cb41a48722ace8db3","candidate_id":"sha256:ea042dc49f5eaedf9762a375e95ff7bb8ad2a9d9d9f77ab447c47d0a3771612b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (11, 6, 13, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:22f9a7a8d863c8397218297cc18cf31ca4d8238b7e71545d666a602785c468eb"},"sample_id":"sha256:51d9e175d672f554c06ac2e76e566bbb1ea3638721a8bb4b4a28cc9392bf9179","source_transition_ids":["sha256:0a7e7e976fa39b6293901a99457a8d8d6847780582cfe42550e4c3823def42a0","sha256:fe395171e4d9326357532c92b9739065e98bb58266c50ab25114729d4a4f053b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000344","trajectory_id":"vlr-formal-v2-0000344-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8422a8a0f4a622b5cb56ed3985599e6d20ef7df6062c5d0823e5ce49180e7247","candidate_id":"sha256:5c2e974e6ab620b749f788ff1c3bb1b5d9e7179f95a649d5f188c8436d99b309","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 14, 10, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4e0d6fa9738714c91eed014518de7127a2b5d144c7e82b0071ebc4c3ea504435"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:7219778c3cb6982c27e08983c2700774f4696433b4b89d4a14c91efc54504cde","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 14, 13, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:af5f191c342c7fcc9d941e741d7aa34aa5348fda33285f44753f4daf1f257587","rejected":{"artifact_digest":"sha256:f2939d5f1b543182256d9ae3def345f20a2396f618c28468bddb964fdfdb200c","candidate_id":"sha256:3063a01170a715e8c54989564b46864ad7d13132c03d701386b0329d5730ff75","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (11, 14, 4, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:7c2e53df7d1c2f08d43d1268f174f5493535926fb101a4f9c2354731f9e7cd65"},"sample_id":"sha256:134b0096c4a30ff6c0b429cc2979dac19d2801a08745c28cde74b1942be432f9","source_transition_ids":["sha256:579671ce977ddbc426263e6ff9920ddb091bfd36341ce130e9affcc3b5c2f52f","sha256:995330447eb5d5b7c9dc690e8c8c6267d187925f3099cf85d13c8e9be70a0d35"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000344","trajectory_id":"vlr-formal-v2-0000344-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6df610a8d465bb9554fabc213501e6c6d1d3af6ea03adce77db0ac1f2438ff25","candidate_id":"sha256:22e72f5824fd89c4f310201cf48eff4b5623b314e884f766b19bab630346f76c","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6773ab40d2c9b0e6937458f9c1a24f140fb81acd8dcee4d88dc2bc0666c50728"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:0ddefefd4fb32771d5bc6e7e9e63ad7ac23f420a7b3c84037b2f1b0fd383791f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 4, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5281b6748d1e82f315636496883ec5f53cfc78e9369886a2811f4d7a9a9b3f7b","rejected":{"artifact_digest":"sha256:05f55f483cf900801eabbf85e634055cdb9e8dcf7b5c45a317777cc4125af223","candidate_id":"sha256:75a496d3baeaa0d0b3a0dc2780951c6b0e315941970d06fb06a929d110dfd432","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 5, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:7eb15276c45010b71d0b68c5ebb84ce45440ce46a3a993ef6eb750feaa0b13d1"},"sample_id":"sha256:4cb00f619ec4fe626d0271ac4b526b803c25835b5fbd106f46b70c4d87281c83","source_transition_ids":["sha256:f0e5c8c16b4072ce69b2f725b0931662b381990b0a3bbc29f6b8eca3c2adfc61","sha256:434360a1d74786b92811c1bd8de6fcc2fa7a61e8ddd1f78370564b6700b1c4d0"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000345","trajectory_id":"vlr-formal-v2-0000345-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5ca8466d278dbd6984aabce78740ee7d2e4ee7da15363b99e5b633bf1ed91d9e","candidate_id":"sha256:1d32ab927ef8aa229a008e60516ec758d60708c52aa580a598247b3536c5621c","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:17368e4c4fc9231e1bafb7d09d0923c160c744a2538bcdb5cf61a42a251cc4ec"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:22e72f5824fd89c4f310201cf48eff4b5623b314e884f766b19bab630346f76c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 4, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cefe21fa5820a0d7d09d3e02069c6d89b7e531b32f125525b035718b58b2df86","rejected":{"artifact_digest":"sha256:f4e6f91a6c08f5ad904f06d75f79219fabf177ee2926bbca49af5b3619a37c9e","candidate_id":"sha256:0ddefefd4fb32771d5bc6e7e9e63ad7ac23f420a7b3c84037b2f1b0fd383791f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 1, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:73ee9e9dc44ca87cf72de779258b6acf0365fe1009de0f9cabccd4d561981f9d"},"sample_id":"sha256:2d16af45ef74d68f8ba9119203b0991af3fa3cfb8ffb02df340b056d848040c0","source_transition_ids":["sha256:f8676c60f9dfe171e1a9abde7e0472e33e8b447071b592e40bb707c0ebb7ac26","sha256:56cf8634d43b002843e845fbef18e589c1dcb3d482a1432daa2cfa5f39e1dabb"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000345","trajectory_id":"vlr-formal-v2-0000345-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5e9fb1ad160489abb02a774a80eccd503f0368446a1d24d5d625fe6ddb5e27e5","candidate_id":"sha256:3e95504a6fdd2d2af0caa3a338a422786aca53d48e13c93ffc280553e59018c1","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dbe85015356b7bfdf1f586eacf1a6f7eaae9d20aa675aebc23c290486db1ca93"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:1d32ab927ef8aa229a008e60516ec758d60708c52aa580a598247b3536c5621c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 2, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5150c631e58ab2404da55f9fd1133aa95ab946d98cab2ae9bd269472049ac895","rejected":{"artifact_digest":"sha256:b2fddc2724685ff0aedb8d85381d88a7e0750bc4dbab9116d990d01e7409649b","candidate_id":"sha256:04c986d994b46e2696397054c9d5c4cd44f8786fc81aea23047d14bd9e784e35","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 3, 6, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:1160d523b0362ba9d831f4311e3aaae5f411c89ce79b7773907c4fdaab8e5318"},"sample_id":"sha256:872a190c161caa5a1a4bbde47fcf124c1eedcca7f8e5d746ec88cb4dcb8190bf","source_transition_ids":["sha256:97669fcae8a387d5722274d62297bf1df3871d032afd8aead5a926bb29330f2c","sha256:fb68db98d9aed8943125e5ce80e6a58bd0b4af95d3ce6b961beea40eff3dadf2"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000345","trajectory_id":"vlr-formal-v2-0000345-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:61d85218e4b87fbe6a1fdb5c3e9488d81a59ab1ae8217d928f4254964b36fc16","candidate_id":"sha256:19781e114a938fc40706f4d8c2241152c40f04f847c56cbf47e52afa6c3439bd","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:710007e2b239c1928138ed8efa4ad5727a4f9a33540ab77209f0c85ef3db6171"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:3e95504a6fdd2d2af0caa3a338a422786aca53d48e13c93ffc280553e59018c1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 2, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d3c2f9117f6210569e88414781e4a006aab69b1668f3c8f2a03f60a411406c56","rejected":{"artifact_digest":"sha256:c2dac9fa43f7af2a6cb5a41be233eac58ed67228ec24f0043f49bf8c0aaad548","candidate_id":"sha256:e505f109c292882c28b756dcf241d998862741dfcb54b3c3e3e20453e0958558","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 3, 2, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c4336d52d5d4904613437567b922c41f1ace0243a492c7adcdb54334ea83f0e4"},"sample_id":"sha256:cb36411fc848cd5d62a06ba386b1582081e43a309fc829aa147429dcdbcaa49e","source_transition_ids":["sha256:bac586f37543b886dd3d7386debd05d6883ae7349427786e1ee13e6560e56071","sha256:0ede5e36779be565a95cf14f44057ec14c934e46bd1b058fd69ddf1b7d9fb4c4"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000345","trajectory_id":"vlr-formal-v2-0000345-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c1a64de98d32ebd612a5c09a8698f2a67500022aa5f3138288df1075782db399","candidate_id":"sha256:c460cae003c108239b790c03e7aef355ebb37972dcb888636775086db4809c29","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 8, -6, 7, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b73d90e248a6e299acfdf59f30907f7b9a5fa3cd9e76bdf3f64b665fb2cedadd"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:e52bb2b14b21f187702679d4eb0e762f6a1b3e3c989a9345def65f98058221c0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 8, -6, 7, -6, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3d37b63a5d4e659bf3ea1114f3330302500ac80d4cfda7f577d32e3ee9a6b3d5","rejected":{"artifact_digest":"sha256:2b5b4508ccc7598e633b6731303de4f93fb267016e94f4b861617fbb76cd1eed","candidate_id":"sha256:d864549c794358ba17f13b3f26247e68f7f1b25da27a407a535345743728081d","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (7, 8, -6, 7, -5, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d39131693193d0b92d479e818a21c70e0345a99fe5047987ba4fc1d483df3a5b"},"sample_id":"sha256:1bd31f1b7e009969f4ef65fb38213e2f9acbd0198e1bcdecad461ff552fb2af5","source_transition_ids":["sha256:0c0bda405411231f779e5e2e863b1166998f6249ef1896fde986249f01307796","sha256:ded78b986b0573f969352e5810a380357f7733a769cc315d152f0a8b56be66d6"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000346","trajectory_id":"vlr-formal-v2-0000346-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a74a9fe19e74167bec0085afbb5cab2dc174513c014a8cfd4c633255f6081536","candidate_id":"sha256:b25d9d336b9ce147a47906bb4d296f8bbcd68ec067d7880d739f89c1b30a321d","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 8, -6, 7, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bd8648a26e3542465c94f79abb2c83d0ed4787cd5aeb342a085aeadf9fba022a"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:c460cae003c108239b790c03e7aef355ebb37972dcb888636775086db4809c29","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 8, -6, 7, -6, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b32fc5762c82fca4fe71c4547a18accf47fd993472554409601e55dd9b163b1f","rejected":{"artifact_digest":"sha256:28e7b3bfb9eed80ad4207b6a3231a631f31e7888f4f7c4a5713835be522be71b","candidate_id":"sha256:52e9fe89e70789572416802b901be26e9a5899c7466cb4b5c42d72f02d05c2c6","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-3, 8, -3, 7, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8eaec83f0c3903412cb83decff0e34c93882fdd6f0072a4d37b719b3e801de7a"},"sample_id":"sha256:bd68ba5ba6fe0def5e16e01b234c602d0223900e396ea2365a0b0977004c5622","source_transition_ids":["sha256:4fb3ce0e94c74a45c0a1ac9fb93938f1792ebede9f36a6beb9018704075beef0","sha256:6fe3e2fa8ebed09975e69b3b35a55bbbbc9db337b01753e31f7b610b6a2e582c"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000346","trajectory_id":"vlr-formal-v2-0000346-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5c20ffbb6d5dec09d8feeefa424024a50f5bddc7ba326500862e7b0d32dfa239","candidate_id":"sha256:09561cb0ecc91a425aa6567a4cb460f0ae2cd271e78c22ddbedd40d87c9ea004","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 1, -6, 7, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:6e20616fd258660d8b2000647a220bec0e6e977f7b0f2da906f00742f151bee1"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:b25d9d336b9ce147a47906bb4d296f8bbcd68ec067d7880d739f89c1b30a321d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 7}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 8, -6, 7, -6, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ddca23fbf243852c1ee7249c566507e609d561b5b96ba19f471b994f9c9caccc","rejected":{"artifact_digest":"sha256:75932547242a6fd9da9f6a72a4a81b3ae496a565243a90f22ef104cb83e4c1fc","candidate_id":"sha256:ffa651b6974010150db09e089659a78440862af8c59f83340be0d4b763e0eaa8","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (7, 8, -6, 7, -6, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ead04230b435b5f9e0fc9f0088c55eb863efed6da59ba663fba9bdfab20d2948"},"sample_id":"sha256:373a58fa2f33b915dcd8e5e5cdd97481829c1a9e02376dd6be8f74c5a07cfcd2","source_transition_ids":["sha256:e5bc10a88958b9e2941e7a7fa8cfee3b12980c7b18db0468527412701a2e71be","sha256:df15ce2663e4b1a15a342e07b1991ef45a012d8a53dbf1545a71b8dad3523735"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000346","trajectory_id":"vlr-formal-v2-0000346-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6f09e9fbc871d336ec0f12b191b906b85f18e5074f765cd09b35c9b48606212d","candidate_id":"sha256:04f28874d48c1f954252e7b23bef6a0b4f0e907203fda09c96577f67b287f08b","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (1, -5, -3, 0, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a3c599b48286f6bcd4dd9c07f9b5a7abf1fa25574685ad4f437c66ca8ffed327"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:e81d4b31db11c468ec6deb0ac62cfb32a14f408ae6f3c249317dcc329fcdf88f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, 3, -3, 0, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:199b9f911dc1a102e4de2b79afcec3def31468d2ae1ef79bea32d34a8c48d9c3","rejected":{"artifact_digest":"sha256:7e6168fa007bba49bcb95347d2918cf530c242f27f7ac584bac2ae29a94ab44b","candidate_id":"sha256:c38b346de161cc2f7eda914c676d420933deeb41a31ae5026710992e5cd8aeb8","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (1, 3, -3, 3, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1042c7f3a7fad08331568c79aabf632006a57f58ab7720870fd3ada900c7a3ea"},"sample_id":"sha256:414b192099e582a08eb8565aebd1be1c25a24522d4d41b982faa5044b6598df3","source_transition_ids":["sha256:bd188c7a8885501ec1b7542f2da723fa6642637d3a8d2d1cd2d7adc4feb340d8","sha256:4e8a26520e993a954d15debddba84353f35819c1080cea29ba25d2b529c38776"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000347","trajectory_id":"vlr-formal-v2-0000347-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:77bf691dbce611200f38a05bd95562e72849e94c29b97e225b2db3dc70947e80","candidate_id":"sha256:67d35be89f7a9938a435755154e95a77de08ae1ae515bc30b06d3cee029ca231","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (1, -5, -3, 0, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b9cb540c7f8e091e05aefeb0ed1a28b1c83643077cdfbcf6104b49a61dc6c6be"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:04f28874d48c1f954252e7b23bef6a0b4f0e907203fda09c96577f67b287f08b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -5, -3, 0, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8ef2129c10335d9a36559f95a4a7b7a8095a3e0b22a09f8ed18a3d5ea67efe5c","rejected":{"artifact_digest":"sha256:9b6b446a2431afa227739e2a79b0571b70fd5d46565bd500ae093a2ec3e08156","candidate_id":"sha256:0339a8b10ca6f3ed6ff603f65cf97f95bbc57fcef9466222d94d642111e83a4f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    table = (1, -5, -3, 0, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5f554f8dc1e97f89023d5a4c24cd75706393acf12bce18b3a9302a77d6917e10"},"sample_id":"sha256:052b506f9a7649ead0c3cf79dacfd2e735837be7f08949670768a15bdb851ba5","source_transition_ids":["sha256:82dad13b9e6c9f667eacd3435d784c5a25e084fb5659151deef673948bd8627c","sha256:5a7d9576c20ff9fd7baeae77a0b1ed59b409a07da7a56040003c3f15c4cbae76"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000347","trajectory_id":"vlr-formal-v2-0000347-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:621e48bcc3221a05742085649d5f20712769a2809f2a28877874f124a42dc181","candidate_id":"sha256:fd4e034ca48e222d75166470184e1d4438410b4eb2fd97dc8d4b55421e831477","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (1, -5, -6, 0, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d30824c8037266f83b0fc50c3534867256b05855f4caa2790956b92d45e0c57b"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:67d35be89f7a9938a435755154e95a77de08ae1ae515bc30b06d3cee029ca231","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -5, -3, 0, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f4eb4d344ac2267eb03e4a7882697ed6818253f9609dbdf136c18a6d8e10c0da","rejected":{"artifact_digest":"sha256:90408d1440ec3ea2c1ba9b3aa1ed237ad76d1807792eddf2ccfaa270cc8c9c8b","candidate_id":"sha256:d16a9820d3ac1475be5e95e5a0187cdae4b2ad11c80ab981c220aa1b0ef9654a","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-2, -5, -6, 0, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:31641dd20ce43f2d6504bac90e0866b42030e8e0fafbb040580dfb896bea96b2"},"sample_id":"sha256:f6c6ce30bf8b02c64c596c0d98d3f8f1b8576690d2481812c2b8a9b8d9931f0d","source_transition_ids":["sha256:1e389981d0765e74ab33c3e7689da217b2d0a6fb8df38c35f9afb57527574ccd","sha256:17cc27c12aa5a17143d6ad467533cbe633b94a2096db6c4b890bf3840821188d"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000347","trajectory_id":"vlr-formal-v2-0000347-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1d72ff035245b3bc94d0652e56178f1c665a006bcd344307b98406145595ab96","candidate_id":"sha256:fa64d3277520cd8ffd88a6b195736a7f4ab01290817054c4f7b5367d942871bf","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-6)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (9)\n","verification_digest":"sha256:b4255ad13c018df6cbcb37ff7da14a09fbe35f2b1e52e089175064e367ebefe9"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:8eafd128df9bda042c437557d1387bdf2591742bd2e0bc55505c5afeddcd4759","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -10}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-6)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (1)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a778fb9196d526d1dc4445cdaa366201d0ecf742814577cf67c0bf0c68b9f595","rejected":{"artifact_digest":"sha256:9a85049ab66af945e572239f33199caca80f254b97b12d9ee45411d7b891e62e","candidate_id":"sha256:b52e1f41c06e06852f2a1fb5f5914f6b2f7e256a0b374b94f1476641aca1fa78","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (-6)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (-7)\n    return x + (9)\n","verification_digest":"sha256:162039e1c1a2e4bec1626a014806c4e7365424bf43190695d222d4ff2e691a1a"},"sample_id":"sha256:8d849288cfb1cfa4acf1396065ed1b1502f9de05b1fbc4b934ee7f398436f895","source_transition_ids":["sha256:4863cf67483a142ffcff5aab0a21e25d11ffe212dfa7d3412a419feeae2dcf8f","sha256:22cd53098a47b19c08aff42397c840b2eb37686ba5ff2e0f41d612ac7c944fc2"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000350","trajectory_id":"vlr-formal-v2-0000350-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:902e4cd2d06ef171ba5b9f8d979a3216054390d8fef4ec8fefeded2cf49fefbf","candidate_id":"sha256:b0082ddaf6ee292adc6d8acb30143f8bddbdf5e88e3b07565c4bef4f30d21514","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (9)\n","verification_digest":"sha256:46033e4d6a47699895f25c53b2dd40f7494c2a82e165301b7a97f8760e2191c1"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:fa64d3277520cd8ffd88a6b195736a7f4ab01290817054c4f7b5367d942871bf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -10}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-6)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:484c159c1b9bf3c17f659bcc486ba45d0c18da2926bb7800fd2367535e55e256","rejected":{"artifact_digest":"sha256:709c3d19a389052c05948ced98098d788ee1318ecf3362c2bef8320ff3e0d20f","candidate_id":"sha256:8b25b2fac857d1d36d4841de6dfd98e18f0c81eae2765c7d892e2256e281fd39","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (9)\n","verification_digest":"sha256:51a577e20fabb00bc3d3d8106f6aef80a13fdac71a871b4d14568579988b0ec6"},"sample_id":"sha256:161e750ad2b7aa04671222d78618a96eb8b993e83f0eefec0f96a80bdd9d2619","source_transition_ids":["sha256:9b142b6da8951de5c6a464cfcc8bbf7566e7484ca3975a7d0ef68dd8c22a494d","sha256:8b7ccfc0b190e448b75548d17ea0cc5dd0d5b28224c61ae39a749402fe9f2c80"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000350","trajectory_id":"vlr-formal-v2-0000350-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a5b0a338712e8b4b7297c36a2af149f8d99eb63a15b55cdc5627e9e1addb2ffd","candidate_id":"sha256:2fb0abd4ba224ddd2f1e89acae9dc7d8150be72c081157b67db8625835d86986","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (-3)\n","verification_digest":"sha256:30dbda36f9acb6db24b0c31b646df20a4c513fe8960d58b5125f91796dc662da"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:b0082ddaf6ee292adc6d8acb30143f8bddbdf5e88e3b07565c4bef4f30d21514","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -10}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:149dfc1d3d8acebba33087cdff0fa1a6ba11758fb513518c6db646a2c8f69148","rejected":{"artifact_digest":"sha256:8bedfab0a7b36efec8ea85a59011f7cc919317a4e0e82e2a43c535a80d8166bf","candidate_id":"sha256:d0e8dd147f26a7e05e41d46e5d538f69ff6340cdbf2db3c0027d2e220365111f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (-4)\n","verification_digest":"sha256:d98d1e3a6ff1b835e26e2486ed333ff04291b40163d41b29b35f3ad88e15b768"},"sample_id":"sha256:f88dda153f7500d738ed6d6e0818cc30d08a29543176e54ec05f4f3b4300d8e9","source_transition_ids":["sha256:c34a8543019963a259f6055c900e4e4efdd1ec540f1a1aad767c1f96ab438345","sha256:ef62464f4882a7d7acf41cebe52716fd6faee72d13e4ac520cb1e460e51316e5"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000350","trajectory_id":"vlr-formal-v2-0000350-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3d6e1d0eb7029b8dcf11c2157de620b7e8ffe84e791e43e73bec727b5d91759b","candidate_id":"sha256:55e560a5fc7087995c8202dd9a806053c4259b81d09f8cdb7ca45612107dfd50","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-3, -7, 2, -3, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d19944d7bd458acb8be7ccd24b34b9832040d3e965056d41c0c569ddf415d914"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:db7241aefb854812f4b496b8ce258fd72b22393438e5365ee2bf62b2045f23e3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -8}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -7, 2, -3, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:540d0f22de2560972e4e23d7520c308abf59976fd3576df314e0cf275798ab69","rejected":{"artifact_digest":"sha256:f439c4fee7ec15227c61f44ead43267fef668560ea528b63bf59ffb762057bf9","candidate_id":"sha256:f302360757746c5e883c59d94775f7a19e583beba6b9fb94008e1e5bc36557cd","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-3, -7, 2, -3, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:085298034c57e6570c953d6c6dde035e5589e755affe9a98379028ea98724da3"},"sample_id":"sha256:2e82279ebb8f684c78a6ac5ad780b1ca20ac04af7bc652cd820fe61437287f3a","source_transition_ids":["sha256:89b7063d98ae59608a972d053a3fec96916f1a1b3e19802159b65f401ff99c12","sha256:f22c5cff5bb80a1e9fa3cbc2bad23e2303cc365f36f9312ae5b76ca325a36c88"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000351","trajectory_id":"vlr-formal-v2-0000351-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a767e0f07756bd69eb5861131b5b5e376b0fe2670623225d26639e42f7d57b50","candidate_id":"sha256:2cfa9857bc4fe2a3e01771ca9dd57fe633e370425bcd00f7a840edf8719ce979","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, -7, 2, -3, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:701cadfb3440d14e1a1ed89aa5b23d4cf076cb158998042709cce0c9a9add0fa"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:55e560a5fc7087995c8202dd9a806053c4259b81d09f8cdb7ca45612107dfd50","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -8}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -7, 2, -3, 5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b501abf74c99e49292e7f261b4c574baf7dcde3fda3f55ebbee642bc382a862e","rejected":{"artifact_digest":"sha256:e881d5462c49072eadc7aab6f4707a0f517b876186b265ce4533489e213c986a","candidate_id":"sha256:4be2e630e676be4b3d289c960f99d6be7a17c4f505d486b8a7b66657814141c4","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (5, -7, 2, -8, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:550b9537199302b13ef3efc731141160ffa97ccec7c13458119327a158547883"},"sample_id":"sha256:cf0daa41f5cf2e7ff07e0d28e4fc1e8664c2d77be43cd931ed2706058ddaf31d","source_transition_ids":["sha256:5fdf22005859516d21615e289ac93af79e83017631275f1172b3eb664f9bd1a1","sha256:7afdc61bb2f78f121fbc5fc250c876451c81d57a786a5bb8fd8bb1a2acdb9db3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000351","trajectory_id":"vlr-formal-v2-0000351-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5527432e5987522f6bfae91c00bcb773f35d948a1398b5d83d939dd891d84351","candidate_id":"sha256:ff7c462db9a63902de086a23bd3017e3395825c619421876b7445b31f7aa4314","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, -9, 2, -3, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dff12dce3f5f327a68bfddb2870f4d41a08a7be52c8612ac2537f596184e4dbf"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:2cfa9857bc4fe2a3e01771ca9dd57fe633e370425bcd00f7a840edf8719ce979","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": -8}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -7, 2, -3, 5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3ff8f1baa88056bfbe1cd114c45b29619bb71dac001dae9543881caad0b196eb","rejected":{"artifact_digest":"sha256:d055b17b630f3c6a0d520a9f75e79a133f1464f1b83120280b884703ecfa0ba9","candidate_id":"sha256:2c5c07539bddaa9e98e53689d581e12d35f7d1e06ec10c5cb303fb1d7d41885a","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (5, 5, 2, -3, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:68dada689b3b02e7c4ab561668ddf260eab58b7462b9987203bf14d0ba10142f"},"sample_id":"sha256:1d2f8a448aded4301202634d37501fa1286d5d6a76fc92dd1768c7468d4ff528","source_transition_ids":["sha256:f5a6bcb02e235b9a7a81ee53f81f12b56349c7ee0caef13d103ad0fc26f37f05","sha256:d9d59d230607415ea8aa36c8c32f128b53d071be71a1b7c0a1d9654881a32cc6"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000351","trajectory_id":"vlr-formal-v2-0000351-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -6, 1, -4, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:caa320b0c245e3ec095ff5f886df66f303e52478ab7bbcaed05e11e3838e3db2","rejected":{"artifact_digest":"sha256:42a14c0d047a4b11d0bf1a094b468712b8592e5a531fd5105950c1891dc0373a","candidate_id":"sha256:c0954bfa648840e1ebdfd4deef8940b8cbad1203180e1ac0eb37950c95241094","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-3, -5, 1, -4, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c60b996fb5fc4550ab7de5b1e1a201f2e43c7f66746a6b2b556e14b05050c53d"},"sample_id":"sha256:869386ef3b740b52fad1fabfb2740bdf7a8650fd8f4645e67ba0ad033aa05ed6","source_transition_ids":["sha256:d7c1afad340938a7a1b33bfc7ff9463be319875cc80e6dfd22318f5722c17d6c","sha256:3fcb4351cf64cc0bf9d1a071561ac06920a8c181e151b720e0bfd46dda427c84"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000352","trajectory_id":"vlr-formal-v2-0000352-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1c62e1e3f750400ed0d8574637720c7bb0734bcf4c88b0858e112d28da3a6fd0","candidate_id":"sha256:6e43d02ae9b9cf983c6b12ae6fe9c4525853339617a65ef16db1dd0745aeb550","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 5, 1, -4, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e593cfeb02be681eb84bf26134884ae59b8087a0595b467851a080c4a02f645a"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:d2b1a000b86f3ef03ba8f37eaf51197a5ba3cfe8a64d860698a2bf89f67fd31c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, 5, 1, -4, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:480e4c266345db19b06d8c048d9ccf82f72adfd99bb74c1ccd7bfcfb690be4e0","rejected":{"artifact_digest":"sha256:7fb7a0f4d3cc96f05c7743fd82045a09da8c84cb053c596f4240c6ad54d9ad66","candidate_id":"sha256:86a6e0bf5a51a66572e737cbd97064102f27ab2f64191e2a9579547ee02386f2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-3, -4, 1, -4, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:09b109217420a42f594af2a5413968ebbbfcb114bf5c5634f70b022d2d0a1e32"},"sample_id":"sha256:b99efd46ff225b3225b36ea9d5d20de89f1c786815ac47c731ea65f4b6034052","source_transition_ids":["sha256:a2195b96b6ab8c0be11c7210f3a96a22b69992bcfec92d2b3adbdfbc95935ac1","sha256:54755fc041ac80cebfbda00d63f6c2fc20f059b878472aa533e0033ccfbdc510"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000352","trajectory_id":"vlr-formal-v2-0000352-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:00bacc0a5c9314442ca13dc867552c97b709007ee16b0e7eee19029b80ba9e53","candidate_id":"sha256:dff7a46226a0e0330c2e61c2b82548d3c977bc13cd7e022f2795b1fbc6a3f9b5","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 5, -6, -4, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:6a677e9b225b624b3f0968572f3c934af1d39df373ba5c66e8c60f4df5fc49aa"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:6e43d02ae9b9cf983c6b12ae6fe9c4525853339617a65ef16db1dd0745aeb550","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 5, 1, -4, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3ff552950b206632af98d475078220bf6a6250d73a28ea3199f65837df67ed0d","rejected":{"artifact_digest":"sha256:d257c0cf053eb31ff3fe820ac5315e7e2a6cb588db104cd542f47cd9ec862279","candidate_id":"sha256:069c0d42da605e309620866ca103079c7e6464ed2b4de4c3f075d897e1dfddf0","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (3, 5, 2, -4, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:635faf325a34c0a185afd4d26f679a2ad8f5235653e24761f948d9e2a5cc0582"},"sample_id":"sha256:145f2bcd0a7c6b60c30cecb1b05c682ab5b79518d8dc3b888e226cc37916ec9a","source_transition_ids":["sha256:23d3a911855d2e7dfcd66abd1348857dd5641bbffdcd599fea41d52b4cd3bd1b","sha256:8f1a260c7c5089dfc47ebd1b7194ad6dc0edb75bb711484355f75b1501c37b22"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000352","trajectory_id":"vlr-formal-v2-0000352-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0b5008d60c7969faba0ec17467e4b4bbc8f9084597e357441ebdfff706d5b9cd","candidate_id":"sha256:83e827e4606c03364a8cb3c7ebfcc03e0c6ce8997801304dff5fa639f2ddf580","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 5, -6, -4, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:041012cc6815f868060fed85acb4192bdb311d0f8b002fa05ab64cf73215b2c5"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:dff7a46226a0e0330c2e61c2b82548d3c977bc13cd7e022f2795b1fbc6a3f9b5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 5, -6, -4, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b5f596a161673cde90bd88f8c781a42d23e5210f33597757853526ddc44b4127","rejected":{"artifact_digest":"sha256:14f972b0bea990aa359ea18fa6d71b8f67aad6a10d2ff92555e09570fae3236e","candidate_id":"sha256:418c0725be646f78b795b425b4593c6930447482299be4beeb0e80e646c952b7","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (7, 5, -6, -4, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:871f28b81caafb994b7425f0b991fb89cde1da449a96fc1c6cafa83ef29d8bbb"},"sample_id":"sha256:3dc40c34f90e78790149c265bd851b66cbc181964cfb6fe655850d2ad77b2768","source_transition_ids":["sha256:5d22c4821f0a74b1d6b35b789f10d496b4d64fb508fdbaa91c54a20da50d3042","sha256:3b1918d5f4ab2ccbf9a642b37da006e3f18093c06ca2a5d1a03b46b514fda350"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000352","trajectory_id":"vlr-formal-v2-0000352-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:cafce94d9cca66898f42fc64162af8a6fcb7f97e3518ab753c88680cff5803d2","candidate_id":"sha256:d9b3cddce551e6d7757f686510f600f6fd0428a1b5180a479a1ce76e294eff59","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 5, -6, 6, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0a9f266bcde85b22fc463c59145fca3ba0d25e4adc2b85126a26f37061d36a38"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:83e827e4606c03364a8cb3c7ebfcc03e0c6ce8997801304dff5fa639f2ddf580","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 5, -6, -4, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:22a59f54c5f39e538ff93863b9f24c16e64c02e27480cde28cf4405cc8899212","rejected":{"artifact_digest":"sha256:b3cc4f08c2872ab212ed03b3663de96b3328e2eea6fce06d6487a6a36ade4afa","candidate_id":"sha256:c0b29bc4b336ac030b19ff6f6daa0a9a90f368294a062ec386a771cd552895a9","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (3, 5, -6, -6, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2de97d15c677cd72734437ba098aabbd957e86012605e8814ef98ae272946569"},"sample_id":"sha256:3ea0ab7310acb44cef326d041fa7fb4539b925f5f28a87e496f98903d7e48076","source_transition_ids":["sha256:0ce73696210e974e6221a5f77b886423cc315565708e1874653ed3685c755d33","sha256:fcb5f403980d1cd9227e206600fa7557d6d53bf2f8aab90c4ee6272c1e919253"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000352","trajectory_id":"vlr-formal-v2-0000352-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:13ad946d1e6eb2c10abddf427d9aa8193a1bff5706acbdd734cf15e4d25ad585","candidate_id":"sha256:08b8b65b2f3a2fd043829f2f4bc6d1a51fc886a1cba351bb9dc55314f6976388","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 2, 2, 8, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3a5b7c1f4672144fef3a782c656633bd5fe191537862bb420b56c572bcf4f6cb"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:103114cb05578a0a615a8e5a8afedc19a057e95a034f558c64c6b6d22e178613","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 5, 8, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5d556cd9c59b8be5e98f80a3d326ccd823454761791f79f33bc6842d87f5dbe4","rejected":{"artifact_digest":"sha256:0db22fce15554b5e753c2de6e0607ff69ddd6e15e95145a070c0b867f5617ae0","candidate_id":"sha256:fe066fed9635adfdc53daa0f17630594b18600dfe1e232b1996d504b71436231","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":6,"phi_candidate":5,"phi_gain":4,"phi_incumbent":9,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (2, 2, 2, 8, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8c9bfbc91880c64c891d4536fec17c9c32137cff6c43d76e3ac681f8935e0c77"},"sample_id":"sha256:fd210869b670b0d085fc9fa162d0ae15071e509b6f7b594bbb87d112de8e16ff","source_transition_ids":["sha256:867cac482a39741d5301fa6c910fe4e21585448d9cfacc3335eda73e4d2f7141","sha256:2ae1c86b47714fa21f396e6837a158cbeeff56864a1573f0328fe2d8274feaf4"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000353","trajectory_id":"vlr-formal-v2-0000353-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f5a6ff24016d407b438610ef0c7ae5bf183c43c139fd7f68984fa0ffd61354a9","candidate_id":"sha256:3fd0461278fdf069bbec6caf0900e40865782d447c45b9f6695aa4a39860ca31","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 2, 2, 8, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:05fcc11d6408dd1f450ddf927f16613fc3f0dc5fabbb76310f641caffb3a7605"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:08b8b65b2f3a2fd043829f2f4bc6d1a51fc886a1cba351bb9dc55314f6976388","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 2, 8, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4481060f328f4f67c5d561570f72ff43e3270b33deda84efd10c385abdc8f842","rejected":{"artifact_digest":"sha256:e41aec902966b3458c75c700c8070db765e318f1c52325d1124a0b5c5fcf4b2e","candidate_id":"sha256:bc092357a74ecdb5c14513584431d764aaee45ea36edb88c72fd4e0e3b49c49c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (5, 2, 2, 8, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9bfdc465f0c9c0887537448086b59b1871a1c2acdd55d93a169468313f3af7ca"},"sample_id":"sha256:e19afaa72cd8efe4aa80e335f249982c874902db001a89b6b22d740209ee60ec","source_transition_ids":["sha256:47101184bcc65bc6a398d523143693df1a478abdd435d788dcd11b56c9e95301","sha256:6db78151a4e185d29181315c151a0b7a3b8b7fcb812977ad8bcd5feb73e62884"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000353","trajectory_id":"vlr-formal-v2-0000353-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:983dde54c214044acb4798d22f021d6dd695270e62bba18ec7ac56fd880a628b","candidate_id":"sha256:f9041cde9f70ec59ebb155c5218d67e3660c156a404942d10962f1cbb58233df","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 2, 2, 4, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:be7a6686c500fc302b25c9a280cc1556e51c9fb3a033f2cbc3d4c023dc873e95"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:3fd0461278fdf069bbec6caf0900e40865782d447c45b9f6695aa4a39860ca31","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 2, 8, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:10f5722232504dbd590cc0710dc3caea6b4173b677d5cd4c7277cb5a5a45611e","rejected":{"artifact_digest":"sha256:5dc6f89b8f7cbcd5607f2f0359f864d104a4ed829de354e2edfe4165e373adc9","candidate_id":"sha256:d928426ad78a85c9c7830d9cc6ffa879163a7d2d39f1b6f99339749e9a91a2b5","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (5, 2, 2, 8, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6e9b6d302503a10a1e4961969e9a5a16111b96ce327a394e2b906ea218f6fcae"},"sample_id":"sha256:7604d8ce096c210e03314782443c62699e3f729b2c7ef9b6d78e96a7e8972029","source_transition_ids":["sha256:f0974500b0818212532f982acd3cfed678ce52bc4d4c77f92f2f96dc0b0d0090","sha256:db6422809fe2bf7748a8e5cb4c58cc3b80b85719dcd448a2ea93539893b43ab3"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000353","trajectory_id":"vlr-formal-v2-0000353-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9c44464638c2fb8687c692599670d504bf8f6155ba520f380162072af297af1d","candidate_id":"sha256:b5f7471a7f59624def2427c8cd362e30bf1878320e6f6a8ed94dca53b3005ec1","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (4, 9, 6, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3751c1870551c039622df429e78ef83c04e42519b772e1572b272e1d54fc03cb"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:20202a97be99ee5afce89c44156079ad43510888bd8664b4d4c91abba251594d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 9, 6, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:636df6fc9cbbdebb0255839dea7e587518287f90c0737d80f5cbbf8840778295","rejected":{"artifact_digest":"sha256:9be409944f1e542dc3b4b7089108c3866174b0e5f456e08b970b546d62fe3272","candidate_id":"sha256:b3f4e4a2cfc554ace275af350f1edaf35c17afa0f7504dd96d7b9f028b48766c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (4, 9, 6, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8d50c203e4325bf35b34024566d8510c0b8829929a9ced9df1d43506d1356b8f"},"sample_id":"sha256:d44602b68b7f996d3057d140bb4418c73361f6404e1b75826564986c09aa3d3b","source_transition_ids":["sha256:030347d080ea6fecef7c5b945ae76940d9428b8bf640a88ddb58146edf3b8924","sha256:288de90eb18995a6ab1c098b9c14762457495dda70ce3ab57c5925d5ab3a68de"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000354","trajectory_id":"vlr-formal-v2-0000354-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:753e4979e8f2028666c36cb373df7e97a8174828a3abef60fcaf40d0008c3134","candidate_id":"sha256:d6a2b32996e75b3110b8afc69673533bf44f2c2b90c84fc28a77e65bd84d7a41","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (4, 12, 6, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4e3e4f894b3e367e0b5905e873a14b035b7b36cbb9ed57ad7ec0e1aadd13b358"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b5f7471a7f59624def2427c8cd362e30bf1878320e6f6a8ed94dca53b3005ec1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 9, 6, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0617bd2c94abe1cbb7c7bd07f2b83607fc8c05e9be9ee2839f04d278e49f98ef","rejected":{"artifact_digest":"sha256:60f9074c08e4fb66aaf64da6ba8e0c765344a9728e081d0e9e9447eeb02b1c75","candidate_id":"sha256:87123500a5037cf457c35733ac53a8110409748e85d4a1aeeec367e4bf2c1eff","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (4, 12, 6, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:cd7e42cb5b7c323f9199115f6525fa259b4f0161eb66bd48f5061a52cabfb3d7"},"sample_id":"sha256:262588aa58c8e56ce61e0252bd6701497a935ed91b9a89088279aa09dad72ec6","source_transition_ids":["sha256:a2ba639ed4119b693beeb1bbcc40aac8f65896b54454fc8c0dc2f21d938347ab","sha256:58268d9258b9be902d23772e47e7b39a32f8568abd8d400af643fa9d8eb61d57"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000354","trajectory_id":"vlr-formal-v2-0000354-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9e5cf52a2ab23b2433f71469172fd7b4e96d5ee492aa7b894b89e8f2572043b2","candidate_id":"sha256:693e52e6f078c06e15cc9d97b82d77eefd5ea696f40f6cfb1071634a55e4a759","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (4, 12, 2, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e9cd339a80ddd707ca6415a47de0737d23270e2d26cfe1e4001c481e33323de7"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:d6a2b32996e75b3110b8afc69673533bf44f2c2b90c84fc28a77e65bd84d7a41","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 12, 6, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:90b1bcb2546a5deeb580b663a34e607fa0941d1c1d536022353fa2a61a6d608a","rejected":{"artifact_digest":"sha256:81c935fc349fc5c56b25f39fde2ad80a7dc878f401cae451b617d3fae5e89367","candidate_id":"sha256:cce491bd2b9f78ef23afdf14209ce8c938e82c31e74300db65bf2ebfc9b9f4a1","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (4, 12, 3, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:85efa292606db8b4ab43629acc77c7322ced0aa4951e8b7796cca8f549966b1c"},"sample_id":"sha256:8a37f926743d08f21f60b33a21e2ab5ee7c69aa1f861bdf5718e46335a090917","source_transition_ids":["sha256:b98ec640138a45a580e0766f41ca1506e33283c9027c071f8cd82bfdb047ea09","sha256:86dc81784d1513b0c4c59de020966a5f22703c20ed3892263eba9b1088d634c2"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000354","trajectory_id":"vlr-formal-v2-0000354-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a5f8319df6930776d3ef7f1a8aced6f40ff2329a756430e316e8b80b8c266d75","candidate_id":"sha256:c6c5ea57d312ea79c2d1586b98a0a98a35212320156b560f9dd0acbcba850e2e","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 12, 2, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d5e35b385534b573a5f2417324db64f7c05c4001193ac250a15a09157213c31b"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:693e52e6f078c06e15cc9d97b82d77eefd5ea696f40f6cfb1071634a55e4a759","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 12, 2, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:95973d6e89f2893adfbb3aea8fe609140beb9711ab897aedf47ee1b5b1003d2c","rejected":{"artifact_digest":"sha256:86c643be9b21ab1b447db26da1efe9e9c05c52e8c74ad8ee22d9aea0b915bb89","candidate_id":"sha256:9f81f99cb3faa484f37ee41979a20a1e3e00d781b216249ff8a36d7bb1e9db8e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (10, 12, 2, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1f35d2c5cd6c0f5c51bde5802739abe74906b4e72fd853b0340372a00ead0b06"},"sample_id":"sha256:4bcf863c8371c95049de05d6da82c5302b9f7ad7aa37e85f0e25232b3dc65388","source_transition_ids":["sha256:a289e121a2f983f5a5065c27f95312b9426f9bf734a9c928a0a1258b6e74a30a","sha256:cf5b83001d67fcb5b9b67d08bc62c44009f37b57cff8e6a11b7ba9ff969373e5"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000354","trajectory_id":"vlr-formal-v2-0000354-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:507c61c865057f4ae47c33841b59c4bbd46e5615cee5f0908c9df5f165898bc4","candidate_id":"sha256:9789df64cd95fb641446fc538d650ef98004803e5f5ac2ab31d811837b15450e","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8bbea6cbf238091ba5d5fadd77679f2b7a5a96a0362074754ab63ea1ea13208e"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:79c867211190e1d98cad29d79fc88b8d4e3a9d24f52dd94e74a396068be8b0d0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 4, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:57313151544de0cc1933c1ca847b30b6b650f1bb1171233fb6897614e1533a27","rejected":{"artifact_digest":"sha256:6508df70f85a11dd2e873722c4bcd78b5e37359d303c2e5a6ec8ebe14362438b","candidate_id":"sha256:79c867211190e1d98cad29d79fc88b8d4e3a9d24f52dd94e74a396068be8b0d0","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 2, 4, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:9c98245a13642f7e1ee5f0f89567501109555333b4913c6afdad5b5beb7b6600"},"sample_id":"sha256:de5f9ef15202e0cf9d398fcb77bbf933e1c04ffb8fa7e9d368e150ec57b4a92f","source_transition_ids":["sha256:670b9372bff6c34e2a14cca3aac8bdce4dc732fb9b196c11da0667881ce083ad","sha256:c2dbb9db7abb12ced722fa875a9fcc3587828891bfb2e0068344037b593d6d15"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000355","trajectory_id":"vlr-formal-v2-0000355-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e30af3b95dc1aa60d0523be43b16c8b86155b9c539d34c8ec4ae52f75da6b772","candidate_id":"sha256:6c0a7ab83088493211d5a5513a031418128d2efdfd445072f40e4cb3d9611dd9","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 2, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:788e5820489acb51530c4edbed66eaa542e759d9ce43b998ed8a2fa70a693f8b"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:9789df64cd95fb641446fc538d650ef98004803e5f5ac2ab31d811837b15450e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:84b7b2189fe9d1e9effdc685c1b35d3b7e99180e6c292e0c2e49b47b902a3231","rejected":{"artifact_digest":"sha256:6a061b43a3ae6d27ba99526980ecfd8f3c765742100c632fc6826a2d27ab18fd","candidate_id":"sha256:c2f3456cba41fb1d9f23cfd70efd62043acb61328690a95449688e3e1d1ecda2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 2, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:9642043faf13ed21e2988d59c2be122eec4b735eb345590790bdb3ef477414b5"},"sample_id":"sha256:9c057ab9838c4c20d6d24ca0f9ddf53b909891e8c0146bb5ce9330d3c031b119","source_transition_ids":["sha256:fa0320f9e382d92df4be6b28361aba1878bf8ab0c067577246f62fff8d8617d8","sha256:98d7b58cd38edfaeff1b7ab5f9afe68034f15701635e55ec967ec9566c959676"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000355","trajectory_id":"vlr-formal-v2-0000355-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:504fe897ec1856ed0fff3d4bac573eac01100cd81ecce13a7316401f177be4f2","candidate_id":"sha256:b6b073cb54b908878c2551190bc74d1f03af69268aa1fe6abfd6ed50fb9a9612","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 5, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:aac3f5665d5aaef71b336aab1ed57d29d56a7102ed6d79a97bb3b502fae2775b"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:6c0a7ab83088493211d5a5513a031418128d2efdfd445072f40e4cb3d9611dd9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b75d5af1da816d4c193b7ca821180a48c041a7223a82b57921d77d00eb861ee2","rejected":{"artifact_digest":"sha256:26cda4b944e435af39bc22a22b5f60ddba82fb5419ac335a68c1f596cac31010","candidate_id":"sha256:7783a5a3b02e39aa10db69441db6e48cf2a3aa79a146e2c903593ec939a4b591","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:1ce58b093926e9f39a6808103d49066f2c5c5dd5bda7b4cc46733fe61248aad2"},"sample_id":"sha256:7059d87685b2be3cf39001c5be4223db121e6a52390f48064ec6b3841c12e2cf","source_transition_ids":["sha256:1014c289fd4ad0cc62fdcc2c55d07606fe4312281a34290b0f72db56c3e99596","sha256:d22a8a0e0a7c2c6de09257388797a5a15cbfe2b87fae31285d37cd06e8560960"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000355","trajectory_id":"vlr-formal-v2-0000355-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a0eb13724879092853deb65d40aefbefc2990c9aad6996df55c9c00374cf8eeb","candidate_id":"sha256:c84a581ecdc234927e39a6cad7881f886085766c3b2d511b81a2bfc7d6a10311","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 5, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:fe81dbd65e0034e8da70cfa244d73b3c181fe3f0a43640248cb645d99bc89c49"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:b6b073cb54b908878c2551190bc74d1f03af69268aa1fe6abfd6ed50fb9a9612","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 5, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2d7c033e0366aab1a628cf7b852d01f00744832167de937cff5304074f862b3e","rejected":{"artifact_digest":"sha256:e30af3b95dc1aa60d0523be43b16c8b86155b9c539d34c8ec4ae52f75da6b772","candidate_id":"sha256:6c0a7ab83088493211d5a5513a031418128d2efdfd445072f40e4cb3d9611dd9","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (1, 2, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:788e5820489acb51530c4edbed66eaa542e759d9ce43b998ed8a2fa70a693f8b"},"sample_id":"sha256:c33658c18d95ca36954d42d207447a3a7571f62d40a041394b806bbbf7a5db1e","source_transition_ids":["sha256:5b18a50dc2ee9fbdc7fcd92a130f89123d8166e6c002afcd9264c22089c7fc1f","sha256:b6990a6b4274234cebac38536bf5d1b510f97676420e10d79d0b49a32e741c92"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000355","trajectory_id":"vlr-formal-v2-0000355-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e194df8cde79bc845db30398c9efec6deda27462bf61ac3843b0d4ba0b3a91f0","candidate_id":"sha256:4268104d75799a097befe709f2affeb48fcc12229ed13ac375646ab5bf8f19c6","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, -3, -8, 1, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:264a9b83456f35bdeed37384a0ebbb851d56572b0def180e954419d76ad55ac5"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:3e8a1d29894d4261ff40b0a042d65b965b251c34a3215339097b364d630b7a56","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": -1}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, -3, -8, 1, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d9c91529a75c288c7bac41fecea7a68406ea648d73b43713bda4e8ad5dbb3a3b","rejected":{"artifact_digest":"sha256:ec2c62e4cc829f3212671bd8a0eaed393571f52b8b8d04a9ea1c03be2a09ee3e","candidate_id":"sha256:a8c44a69e428c75a32668e262372493d3f2677707b2fbec429a466e62e0a77d5","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-4, 3, -8, 1, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:bdaa68fd72dffd68ddbaf4a86a4bcec377d6457cc3412ae7e95878361bb1cf7f"},"sample_id":"sha256:50d908bb7c1101e511c55dd0d579424743a56c631bceb477eacdc8ccf0621dd0","source_transition_ids":["sha256:6f017679085da7d2bbd818605cc7e88ffe07177056d6949d8370adb942b369b8","sha256:a80449f1fae6127448421f8bafad8938798c8d878df1c02b39bdffbc5d2f2323"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000357","trajectory_id":"vlr-formal-v2-0000357-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:17e8b0e7ab5df398fa4a2d8971112422a0fbbb5b45444ed75a4b7872d3329984","candidate_id":"sha256:210a28e306b7a8aaf2655e04ed55ea1479ebe3a75ed5da93a380bf0170a52cd8","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, -3, -8, 1, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:aee377fa164d6c3739f0a1dac442c94ddeb7b17b219e235a21b539496388f73e"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:4268104d75799a097befe709f2affeb48fcc12229ed13ac375646ab5bf8f19c6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": -1}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -3, -8, 1, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c3d47aafcbff6e3e3e9efa28882ea026a7b88bbf51204ffd9f6ff3abe24368ca","rejected":{"artifact_digest":"sha256:86facaac2c6cf59fe32c62db723f20adda16f3ccd415028b719dd6aed7f83c75","candidate_id":"sha256:8606b140744e417a1176baef8d6a378b26ee5985a064ef4996447933cc6a2c65","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-4, -3, -8, 1, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:6e95da08f8736d792df4e4b837a6521b724459a56d9fc140b1745163e94100bc"},"sample_id":"sha256:b3ab06972388c0a876f7469f4f6a1bf083f0bf208e72f299327fa29fe8370cc1","source_transition_ids":["sha256:4bc8cf7d522808e8e395a289bbe9177163c8c1048e7d95acbe0ddc9cb29fff46","sha256:556f89d6be7f4a49bd0954487ca2f83667a26fa847f19e6c4502736bc96fb68e"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000357","trajectory_id":"vlr-formal-v2-0000357-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b35f553a24654bf0697408e7d20c94d585816d6a4adb2401966556cd5dd274a7","candidate_id":"sha256:a2c71715af68020dfa05cbfac3ae9b25ec67a324f4fbc05da165874c58c477eb","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (0)\n","verification_digest":"sha256:eb8b96abe5a7543cfa9a3c7402bb84db8cb7db82ab7379223a1ef79e5faba289"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:bf20a0c5bd6f11aa4f8f67773ca3dd3a5d33e360b32aabd6952ee90a98533723","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -3}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:818b6df29f93484c35a8ffa7e78be9c57159064646ee7ca65deabb252ea51060","rejected":{"artifact_digest":"sha256:a03640f5dee89b2e48a6f667901d8aa6902655cc0a7005b15ec8771f1d06c58b","candidate_id":"sha256:1a33a55ffd877fb0e95ff82a0349055afaf9f2174434dd18027d4454182425fc","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (0)\n","verification_digest":"sha256:72e1b0178ced38451360cf04ceca400e029fbf79f12469c58404f446f08ff2b9"},"sample_id":"sha256:47e568ed79897b9f13a5a35a78e92f93fabcc65de9f93644a81bee2f0eeaa10d","source_transition_ids":["sha256:0a56e4b76a1881c05d3dd1fd1593ee31771f82aeec6182e8bb8381ba5d2a255b","sha256:1c2828c1f5b5829e52a82e415448610db0fd63f70781d774b1e69b2cf85b754e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000360","trajectory_id":"vlr-formal-v2-0000360-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5a7a975f1848a004230b88ffd5474f2b8ea6cfcfd8e172f440bb8f882bea5e96","candidate_id":"sha256:fc6e126161bd9150084009c0c1d69fcebc13e357a3b8f73d378192be8076f1c4","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (5)\n","verification_digest":"sha256:7de4f65181b657fd62508348996fcbe88ab92212c11787facd4aa7c7fd47e9cf"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:a2c71715af68020dfa05cbfac3ae9b25ec67a324f4fbc05da165874c58c477eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -3}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:235f7d9ba65742f3f765612cdaa238d405432d53996be0df770a681cfaa2473d","rejected":{"artifact_digest":"sha256:86534a7ce3711d86ecad4fe0d455557dec99b0e1f13cf20d7fc19ac13f8d9103","candidate_id":"sha256:903762f74986bbfc78ca14716a815023d425a2b9cf3f6e3f251edeb03e881241","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (0)\n    if x < 6: return x + (-6)\n    return x + (5)\n","verification_digest":"sha256:9a91b01b9c4bf59ce3229b755fbecb3dc3f24be36b64fd8ad8ec2f60a1322345"},"sample_id":"sha256:6a49237670daaf6cff6709ba69ad7ab440e936456cbcf83017f9491ea73ef4c5","source_transition_ids":["sha256:093db21407aa8393b7dc300442f8b03850a5665490c7e9dd5c1bf334b0a63407","sha256:a8e62a1b9c918ca91614f717f0500aaabe9c77a6aff65627380253f8d9b343bf"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000360","trajectory_id":"vlr-formal-v2-0000360-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:abb4e82f9c21a30d9f1be5f9ff052a8c7df5f3e246459424349bdd097f7c9bb1","candidate_id":"sha256:e04463a165fd2e6b6197a7e63bd1d60635d9512532d8452bfc33106346e4f5bd","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (0)\n    if x < 6: return x + (-1)\n    return x + (5)\n","verification_digest":"sha256:e3a7e3f4b8e51bfe1af85a58e1111b15818641c6700c026c4e9e579946bf7254"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:fc6e126161bd9150084009c0c1d69fcebc13e357a3b8f73d378192be8076f1c4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -3}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (5)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a141f10fb305ce3814b49fa5aae261462b50256a5bf3a413f8206c8ec32538c9","rejected":{"artifact_digest":"sha256:ff72a289a2bb0e59f81dc0f1f00874cb1836a31f5ade50ce53abcdca8974d27e","candidate_id":"sha256:6fb890524214abb5c8be093d050a863838cdd139765f636289393a422bb6aa15","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-1)\n    return x + (5)\n","verification_digest":"sha256:15fb3fb3d6f643b6e7f115b7383235d58a969cb7c2075b982a82d318301240b9"},"sample_id":"sha256:caba089380bb2cd58148738f290e778d506849274b448931ffe01313c88cefda","source_transition_ids":["sha256:d0a28fa3379c15b205766c19abf29f467ffd43fb175467f20bc350c4ab1efe48","sha256:d1c388db6a7949f37848d2e96ea841128c45913f4c6f4c7158934e67ca0c2b1a"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000360","trajectory_id":"vlr-formal-v2-0000360-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bfd873073eda8d8630e69b5e4585d46ad9e3effe57327be0495a45bcbd834847","candidate_id":"sha256:7174bb3b35fc1250af86863febdf58adbbfe125795925f146fe88491af9ca3cc","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, -2, -7, 3, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:66c3d035df2e2fdff6c656d226b8a947d1a120ea7d95177fb9553d4ecc565119"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:0b659365d362b02e57c4c4458cf1c44d77a97a7389a1f6f967e1c8604f6d1ba9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, -2, -7, 3, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:15a7aadae6b107cfe2c5106e8fb9d601de63c5a646fa20ac4b040d73c1132369","rejected":{"artifact_digest":"sha256:3c8d46bf94c99f561b75f18b11bf501ef63d86a46192afb48e2c73cb1b1b078c","candidate_id":"sha256:8475aeeb5a59e3ddfdd2d1331336ee0c2c2808750c38bb3bbf7bf96456e11da3","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (1, 8, -7, 9, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dd0942f4de5daca2544fb9138912d7846e825c3f86af030350ad51b8229cf9ec"},"sample_id":"sha256:7c16753906f3cb8978f955855a0207887e26c6772c58d8d02daf906ddbbbc992","source_transition_ids":["sha256:869b4c0331658e8d70a9fbc7713efa54f60c26568264a4e6f3428dbf408170fb","sha256:14b164ab24e405e8754d95b0f813a4cd539d5e79e140ff67d5c05dfb1e7b475c"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000361","trajectory_id":"vlr-formal-v2-0000361-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:80c9e3732e6f85a72c2a5ffdd6726986b873c15b1de7181803b2137c7ec28fbf","candidate_id":"sha256:47fa9ce7efa56afcee5972e8188dd794081402fd4a84f1fa6e3c0f9f13221a8f","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, 8, -7, 3, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:300c946fd86360d6511ba7b1c1f3063fb2c0c0a346582276827be36d061283b0"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:7174bb3b35fc1250af86863febdf58adbbfe125795925f146fe88491af9ca3cc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, -2, -7, 3, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1eeabe5266ada17a6a39cd75129c867b92af4e62a562b5612f8169cdb57c9a07","rejected":{"artifact_digest":"sha256:be8c1a8479a13c7ebcb560e378e3da1999a894e02a7fe1862a8baa131b900a84","candidate_id":"sha256:a067dff7e763e4ba8284ee59cb7ea6d78eb3cb50038f809a6b377844ae62d795","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (1, -3, -7, 3, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fac6582b83c2febcd538086e33410805c15325925bca7cb5eb6eadd48f822c62"},"sample_id":"sha256:5d34b332c051cf0e4d951820a38db585bd02d589ac7935e046fef64b2d32fa0f","source_transition_ids":["sha256:7307cd908e9292da78f3eeeeef997ebe0ad5a5f4798e19e2311aec75e4232200","sha256:4e798d016577c182deda2eb30dbed90daba866d1879f4aeedb1e9c487e405521"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000361","trajectory_id":"vlr-formal-v2-0000361-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bfb2cd95d2febfa7d5ff4a7cb11241f35c0b8011767967113f2d4580d7e0a78a","candidate_id":"sha256:69edda7048955298301ad4a71f222d07117d5da077053935189b17898a4117cc","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -6, 4, 6, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:399012f40575fbb70039422d6e8ad367508d255ccc172f20aa61b2f5333d8151"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:aa5ae55a759710ec6b3a703d7846871640b7428b31ce4d1b50ac402a83834298","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -6, 4, 6, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5c3193ba7218796d5bc4111d33e1e3b7f34457afa8ee93246ddd41a8ae3e0596","rejected":{"artifact_digest":"sha256:caad76a2bc13156dfdcd701cbb653965038dad249a30a2ddc4338dfc4640bf94","candidate_id":"sha256:3efec8bf757d801dcd055fe64afdad981af3c7ea8e637e206ff4006e7a18da29","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (3, -6, 4, 6, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:326f4ff31532242885ddfb8a88879dca50a1c394d8d1528f7b385fc47b400cbb"},"sample_id":"sha256:86dc0fcc5b3e307e8020a2cbd0ade360fd079251654c51ab4fb4db4e89e56030","source_transition_ids":["sha256:6b34a4f3adf0cbc93501a7ffd91714a62caa2e9e79590127c883d5c13475ec36","sha256:8c9809a9f1ed10333b5a86be7a26f756d4ef36fe882672ef54f73780eb9910d5"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000362","trajectory_id":"vlr-formal-v2-0000362-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:315eb51117ffd6bc380df8a52822230fd1ebeafc8c17dd4f405103208dc28eb8","candidate_id":"sha256:4f5088bbe6a4f051191cf2c8bde1b533d8e1ed85d6df94f9acea492c8963e117","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -6, 4, 2, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:decbd4c2e2312adcb815178d1dfc1e2e42d134d02c7e11ed8c839b2506b5a60a"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:69edda7048955298301ad4a71f222d07117d5da077053935189b17898a4117cc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -6, 4, 6, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a8a40f11b64066e1299fb57c1655f6cf5649db97018b43d4eecbdf1e06aa7251","rejected":{"artifact_digest":"sha256:55aea3b3e1a80e2af0f259723b51d42d10bbd82ae8c2f0b694a8c9b01ad42897","candidate_id":"sha256:37ae1afdccb856887c184ec23a9c5aaf204d44628fb216be762365191f589546","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (3, -6, 4, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5149799974c892ab70b27df35381584c092de9a2dcc9d43c00d3ac1ce742007a"},"sample_id":"sha256:9255bcd6bf48af9d53a0e3822cc6a3427373aa6a96ecd84eadb3f0dfa4cf1fad","source_transition_ids":["sha256:7caa977652673159d9dfe7f0fd8582cbf0afac4d699306056325d6a217f88d29","sha256:1aa587835e0d13769f2c979ee76a96b224cc908992f5c097da0b46a168f1493f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000362","trajectory_id":"vlr-formal-v2-0000362-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ae6ae45053b0b9dc93a439bc352b223893a0349c438eaec71fa38ceb7b195328","candidate_id":"sha256:a8c16f9518eaf2f2f41f278f9545b899c4c70a1c5a1b3a0a6c21a18b36f08683","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -6, 1, 2, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:28a6ffb6ea35bb1eae99e7f0dd423a960d50c6fb7dbab6b369a90abc1e3dce44"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:4f5088bbe6a4f051191cf2c8bde1b533d8e1ed85d6df94f9acea492c8963e117","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"accepted":{"artifact_digest":"sha256:5afcbec6350df5fa597c47b6a0d74412e156e120832d61786313dc5ee3029fc2","candidate_id":"sha256:93c3fb422019db080c64a0fead4c05183dfbbb4f3ad1c337e168b84491cc791d","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -1, 1, 2, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:220e70091eb5432032597e8634cf76e221445caa3487618060c8ec631065097f"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:a8c16f9518eaf2f2f41f278f9545b899c4c70a1c5a1b3a0a6c21a18b36f08683","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -6, 1, 2, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:25c4808c49502b9bab34e2b6f024524fd77bc26cf4b79a4b0873ae1ab63f43a4","rejected":{"artifact_digest":"sha256:ea6318e4b72adc35064f4702b057b112a218891e8026c3ea00f929ae58b12ba9","candidate_id":"sha256:d308f5f80d30a96a381e963e894245a3da9243d7511bb576796ab5793cf1d76f","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (3, -6, 1, 2, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:cd4b954b895ba160357fc40b1e151a39a39426aa72fe95f8940222921bfec9e9"},"sample_id":"sha256:bf509bbb48b986344a1790e33e4fb52f29e1a8574962576f50f6d134c4d69f76","source_transition_ids":["sha256:d286b55f4e117321ed0e44bffc9e06cb0f13004d184891a6eda9397d20d3395d","sha256:181fd667030c9efec62b7ca352be4982a7ad294af86f77cc64cccb8ffdd820b2"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000362","trajectory_id":"vlr-formal-v2-0000362-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ea988f5ded2124c1099e3bd845d7ae73aa3ad9d998aa442b62fd907505b050af","candidate_id":"sha256:376befc132f5f975e61f9588450c7e589d4d4ecce31d4350e6a4743d73535c32","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-7, -1, 1, 2, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:af799ec960746ac4decd929b98666f2856a1af7b1415e34d1cd5125a05df20df"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:93c3fb422019db080c64a0fead4c05183dfbbb4f3ad1c337e168b84491cc791d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -1, 1, 2, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6fea0d1fa19851b7391d1ff8448770dd46b2a2b4c3af7ea964749f98df5c9637","rejected":{"artifact_digest":"sha256:1098d904e89cff949f26dc0418e8d4b50478a54bd62699cc2b1c4933a96768d0","candidate_id":"sha256:7b9c93c01669f2868c63ccfc5b1b41e79f587c1a6a976a4a79e06b74d443ccfd","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (3, -1, 3, 2, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5a8d821b508949baddb3935d646c7bef19e68a368dcc61d050d6c3f470d436eb"},"sample_id":"sha256:0427332ba2c2ec36c26fcf972fd113623e9ad98f9791f40e9bdb8c8448aa3486","source_transition_ids":["sha256:98538fff3aef61ac9b84fabfe36f269d59d49c66520bf61a1262cc3cfee9effc","sha256:6251e71c59cfba9ec0e8539edd0e78b0e41e45d7d1b245e0e48e52fea04131f1"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000362","trajectory_id":"vlr-formal-v2-0000362-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1a1cb57ae69a41dba075b18fea096b1ff19bf120e27c3124cddcd34a9fb0c483","candidate_id":"sha256:3d6becd0a69bd5726e0f491a1bbf2815b5d198b15f2273cffb5da78ea7b06560","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 8, 2, 1, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2546e49c14626261a3d9938d62e45880ec3189f89e6c9716b470e23acc2d0004"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:5a7d0ffe4a2bc906b5bc0eb1e0a745913918473b2aae35c87e3d6ae6feafbf5b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 8, 2, 1, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5b0f29efa0b80f16bd851b68303de12e409895aaeccb926743a6c8e84a690e41","rejected":{"artifact_digest":"sha256:04171cd4f2165b3ae20b1c317343203756d0a012193caa6bd75e052d4c03f3e9","candidate_id":"sha256:9d06032cc5f11fe07b16a5a13ad94a57da7245dd5d7941e86bf2a028710de3d6","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":13,"improved_coordinates":0,"phi_candidate":11,"phi_gain":-2,"phi_incumbent":9,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (7, 8, 2, 1, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:27d825bc9d1d6979c30f1e29bae25cc1a4ef0d21c734cb15333b06ccda504c3a"},"sample_id":"sha256:f6df72237a6a851ce931422a22553aa2bbbb22b66db7011dcfde83e2a04bf69a","source_transition_ids":["sha256:687c64398e2432f8be99a3139a2b07b152b9dfca1303a4c34e7528a640e9f160","sha256:30c7f883d4794ea7b1c5e5552853ba17ce00cea48eeb4848bf74423f371daefa"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000363","trajectory_id":"vlr-formal-v2-0000363-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7ca675dea752660539e28261c9cceaf81889fb229e9606631e0d0219b83ddd73","candidate_id":"sha256:9273505018b94283878c2b68469b9ead21047229fa8c77321c923083bea339b9","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 9, 2, 1, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8ccd387a82d91fb5a7bfe3647039676051fb05e8b6f3f7d3ce9363466e623f1e"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:3d6becd0a69bd5726e0f491a1bbf2815b5d198b15f2273cffb5da78ea7b06560","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 8, 2, 1, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:70cf94382d80e694d954c74948a849b932deadc24a4a48dea94b46b458558331","rejected":{"artifact_digest":"sha256:b50a90dd6146f8dd39a92956922414d34affa472c5986c29333491ac8fb2224f","candidate_id":"sha256:1bd744f876abc412fab145d8386746582b9fa1b1b4d5415858f8f9e11ee38587","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (2, 9, 2, 1, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7fbf78b93b34ab9c8b789a06075ea249011343250ba68d49966896b349146999"},"sample_id":"sha256:508d893b0efe479f4bc8d0757bed17dd851e5f6eeecdb2a2140444c41ecf6304","source_transition_ids":["sha256:c220eb6513af794adeffe486864b487aaa2d1843feb1793c67387bc152f0c37f","sha256:bbd3cbeca5fcd4815cced8805bc9f4098e7781869d6222bc29451ad59dfe8199"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000363","trajectory_id":"vlr-formal-v2-0000363-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0f9de6bf9a48c25744cfa593004fe71122eb36a9730573ef4506deef0cecb653","candidate_id":"sha256:44f70f3233b33d32dad461ceeeb626bc45e422b0433f478f8950e282068345a7","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 9, 2, 4, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:21b8ae8fd07a4f74ede542703153ccba023e6161be74db62bb7c687459ec5215"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:9273505018b94283878c2b68469b9ead21047229fa8c77321c923083bea339b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 9, 2, 1, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:758a8bb84c1cb15c222acdd085b021346751caf4d90e2caea436b711adaf4d0a","rejected":{"artifact_digest":"sha256:02639f088e25d1311c241dcc50e263d1207600c16a2f710a386d53895444601c","candidate_id":"sha256:25ea5de4fd65280c6d5af0ac7b8cbe314373da9e202503eb308a57e4abbce6fa","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (2, 9, 4, 4, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f35d427767e67f1e771342105d8c73f0a19d122dc2e40ec4b78a80c3216f7375"},"sample_id":"sha256:49ff6c4ca0d7d70f8ba77cfa7020f7754e38688fd0a072ff9bbc0252470a5c87","source_transition_ids":["sha256:146556b519b923239070abda647cdda8fd0b59aa2f32c57ad2ada7496aab8924","sha256:cc5363ea67948ca118a953b1bf40d43599441c6113d3422a14b678df69ecb40f"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000363","trajectory_id":"vlr-formal-v2-0000363-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:73f286992d6b4fe998fa98adc62d67451d2c3a6ebd2f9d1dd8d04072063b4106","candidate_id":"sha256:7ccdee2b55cc8aeb15ddcd98f8398a3c0b5980429032fe996609f1c4c67b78ab","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 11, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2f6cb47b58711162c0026233ad80b3af6a84b53c4bcdc8825160829771aa1790"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:3d761d513ec269a05e9bea1383b01b58de0434be1115f35d5e87eae3366f9fad","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 5, 11, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:300195c36b6f06371d9e9051b4ab26a07be106fc1f3ade330811c40c407db7f0","rejected":{"artifact_digest":"sha256:95c71e26f6ad56518abb97748460ceb80cde07175404ba66b438d79614b11c13","candidate_id":"sha256:0c317f87d8a5c973634e6d5828d5bc6617c89892622d6215b12c4ba71a415b7c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (2, 9, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4fd618f6fba6b869338341bf3e54f284b9d28697e58994f8ad5d1d0890cd8334"},"sample_id":"sha256:fe69762312dedd3edb21fb3d01e6b61e948ccef1e14f5fbf7b2dde81f98ebdfa","source_transition_ids":["sha256:96497f646ff1c21d2b9a14af98cd1d5a47b83b51576776c628d36294f26f0615","sha256:c4eb296fb12794c50b2133fec0322be955b603baa0f4f669e3b8a2eba8e7a984"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000364","trajectory_id":"vlr-formal-v2-0000364-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:df8972a0ae0d995bed3de7d9724b9f48f7aefc05a3f26fb51b601abd90c5f68b","candidate_id":"sha256:9320fcb28d89992d7c338083e7cf185e74ac05a4c5872697bac12bbe3771a8a5","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 11, 12, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:fde16fba132a665c77d1ebd5405999c0acec846daa6c450a47d96d55e414b3ae"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:7ccdee2b55cc8aeb15ddcd98f8398a3c0b5980429032fe996609f1c4c67b78ab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 11, 11, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:644705d0bbfd630ca8b7f9ed23dbe8b548d51b1b4b8588b8d93427db6917c873","rejected":{"artifact_digest":"sha256:6026dc8db788392cb55ee23459983b85bce22f81b52bd6dc0efb5f925fcd8aa3","candidate_id":"sha256:29326710eab7a3ecf8cf52e2568686a634dfdd73e2d050ad9babb522ef83e3d7","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 3, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5e6d40f8e72223887b0b5676867ff4fe26e00f02c13f0f71e13710d7f6f8fb97"},"sample_id":"sha256:5d9b2402a8ff7083586ca52753f772da7a5366b1217cf6edc5d03c7dffeacc1b","source_transition_ids":["sha256:e9d420b5cc8ab55c1a0db96b980dc67e2f6725b454f80e2c85d917b463b1619e","sha256:9dace5aad8d9cac47d3a90fa9063f032c3b6c9cf688de6dc7028519f06641e64"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000364","trajectory_id":"vlr-formal-v2-0000364-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:30f4d182bbe76ce6bdaa0c1ce63a3a0ea262808be893b3e48a766caf3df112cf","candidate_id":"sha256:cd83ea8e65e4548e6b7f4fe2971876109aecbfeba7daa3899057414d71f4e65c","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 11, 12, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:54ec72464021bb351603419cb14d064a7a958423b2f8597faf5653b32d244200"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:9320fcb28d89992d7c338083e7cf185e74ac05a4c5872697bac12bbe3771a8a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 11, 12, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c7cc2f8a274679e16ab24662de510a3de13b737f7c9cf07b73683fa329c16f37","rejected":{"artifact_digest":"sha256:d1769b4e364df7e9387c0a24390360301cdac7c098a8fb9ef755e4533a5af9f1","candidate_id":"sha256:7465ae2f5995d34cbbf457a131e4f2a0e4f63d822df125e9cf9139e2480a8786","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (2, 12, 12, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ee6ff722adb640669a0c2563e502bef91c0dc51a1925bb995c2771e3fd38de95"},"sample_id":"sha256:8a76be4bd952cf5970800fa2c9554e893873e10d15eae5a4f885470433ecd4c9","source_transition_ids":["sha256:6cae930b2e2a482e52c3ecbd405a29b09a2b6b9a1f91fc147a7d4088f475d37b","sha256:e6f647a5ec3b8d0ac3dba0e6fc8881ede16a7799e4f557715196e94171b313f9"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000364","trajectory_id":"vlr-formal-v2-0000364-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:327fa0af093581908bf02724e4c26d766a0897b09cab60d6af81a59bd044ee91","candidate_id":"sha256:f03ed50285913e199059fdd82799d53f6596dd6a18e21812ba3d4345cf998ed9","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:90c50fbc0d49fee5522dce25078aba475fba24283ac300ab793cae69f2028b94"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:24d9b2900df88d9c741efb85c0d690dd8cd93bdf54a0f40790fac440d02952d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 4, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0f8abfd30cd7ba3c3220602edfda4951ff886284acb08f19c8be3c250e47c374","rejected":{"artifact_digest":"sha256:76add035f7afe62b0e3331ece49bf643ed06c7e7756c6f81bbbb7ae1391c65e8","candidate_id":"sha256:9b2b168c03be0f67b5dccc6916187ffeda223b619c9d671095c4a6f883c53b87","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 2, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dfad880b5e7ef2995619d84072db20c2ad8cf8d2566822622f63fadf6d001bcf"},"sample_id":"sha256:7796ffb168de9513175585ead9ec586f77343b5d9bb8d7b5ed368c749be3f88d","source_transition_ids":["sha256:52e609454de0b78d8971eb45713843cea0db9f470462fdf450bdf182051a920e","sha256:59fcc6ed564047f6b3072cd9798852b741c08aa14abf167a58578167bd136102"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000365","trajectory_id":"vlr-formal-v2-0000365-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6f98185f97e1df4610d828f93d9a7f631ed4068a4c6bad739bfb1fed32d47def","candidate_id":"sha256:f4eb470577383015e1b1400fc3858025a29e7013956d9903fa8a6b42ec4fd514","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3798122b82ae15625c4ec96f8164120dd69f986276b8503d4ff44920c459194f"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:f03ed50285913e199059fdd82799d53f6596dd6a18e21812ba3d4345cf998ed9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 4, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bcc8ae34c0c9a1e0b06ca3445d2623f9ce333c2dcf2e1323078c754b177b04f4","rejected":{"artifact_digest":"sha256:887d665aa59a3c1f0b8677f90b34375ea34ebb3ad1e4367fc53ed9dfc7616d24","candidate_id":"sha256:1e6d24df830cb2b6b57874de0cfbebf1452f047533d1523ad7cee76a112a03d7","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 6, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2dfac12f3c13297429c3abb0ee2850d72d18dd7a8860c2b6f7293539029ec484"},"sample_id":"sha256:155958e793ec3e8f7e51a934d9163f39da36b92044fb70c18f11beface025864","source_transition_ids":["sha256:b53b017442873012d0105d7c7651ba89fce8c936cfce4e1e80bca4da1d91d115","sha256:3dabeca77b24070452852c9770fb2b244dc07fc795dee33c9a5eb43f83ad983a"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000365","trajectory_id":"vlr-formal-v2-0000365-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:56939718829176aa194e86bff2acb2fa96a442096d2373b2a1802a77374f4373","candidate_id":"sha256:b0516ce8a762b984e58cc5dfa52989455dce1b96ee33f453f3b598468a34bca2","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:49fe9da30818823407f002d7e84c4121355b53c9cc8509561dbb3a4a385b994a"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:f4eb470577383015e1b1400fc3858025a29e7013956d9903fa8a6b42ec4fd514","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 3, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7e90bc2e19f532073fd38c15652312c7bb3f3f2304ba5caafe688dd4aba63111","rejected":{"artifact_digest":"sha256:0fb0f39a596ecb4e944ace1a9bd0e1834ade30919768060fe8601d9d4e66a464","candidate_id":"sha256:0dc76b941765eece714e7a0445c71e7d5017e7272abcefa7a04c36ef1cb259bc","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 6, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ffe3bb68b3d9101c524b3b5aae72255f5044c0fb6e84076a13089b3a799b193e"},"sample_id":"sha256:af68971226eb81d8881c496c4e585d6315a6a6e2227428c1b914e1509223e33c","source_transition_ids":["sha256:12fa9a75866d1673ba6c983515c059f5ae8e65adbcd0c9d79dc60ab97354954b","sha256:e720065fbdbf6cd920dc3083eee598bb650fe0fdf1a06ffe5daafa93d75a7832"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000365","trajectory_id":"vlr-formal-v2-0000365-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:79af167b879d41d7a1c4cf996f212e9567b351f054c7bdd270d932759d59892a","candidate_id":"sha256:0ed669bb21eff1f52001ed997b715da7e53530c3170fa90fb485e07d86dc2efa","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, -7, -2, -1, -8, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d4455f685f39186db1d05690a101c7a1b2660b583127efcf017c39be7f6ff584"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:6ef2597c89e41b78d3ec85e37ade58aec2d2d2a1289b04d32458d27c717f915e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, -7, -2, -1, 4, 0)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ba230fe74b89d68289b644259ed000b259f36a22fafab86ee1a553f692b072e6","rejected":{"artifact_digest":"sha256:105667ba1e766ce60a31ed92592d4cdca978e5f9220cd252e64eef9c9137bb33","candidate_id":"sha256:d30c935774cfd10c274203eac0be9f83cf89191174f72f2e4cc455ffb5e0c286","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (7, -7, -2, -1, -8, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c63c1b274bbd62d927f39ef174ca448cf84787dfac468cbfddbd19c188165384"},"sample_id":"sha256:815bfe6f3a3d98bd42be95984c90a57b5760551b90a57435025c4e818f3eaba5","source_transition_ids":["sha256:bb24a6b6c6e6ee54d4a916c1dd0058f8fa922770bba3570d591a8d6442842494","sha256:469ed8873406d87e495fb1b20dc1f9e7138d9540a7c6f722d6454799c5272293"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000366","trajectory_id":"vlr-formal-v2-0000366-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bf89d77b5284fd3a4b0bfd1918fff2b11d1e32624e46a06865141df15ad0736a","candidate_id":"sha256:1b4533cb108bd9cc5bab98e3c802d030ede91ce92c4be481118c1ad5e19d8234","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, -7, -2, -1, -8, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:92d5644ee76ec0359e449487a0476b1bae86c3ea7ddb2e6a4dcecb4e2f043f41"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:0ed669bb21eff1f52001ed997b715da7e53530c3170fa90fb485e07d86dc2efa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, -7, -2, -1, -8, 0)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:40d5dd1e197a8afb7208c61833fde4cf4340ff9171c5ca78686dc15d66407ce5","rejected":{"artifact_digest":"sha256:ad22675564473d74d1a0a08bcefe6de710e1bbb966f76b0a801ba7f921400311","candidate_id":"sha256:87819b23ba8240276733feac093e12ef7ca7fde63ca4fcdbbbb4d761dfcc16a7","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (2, -7, -2, -1, 0, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a3d3611995a9441de36330bd8e06eb9b756792f91d69c1eaea618a6dff5e3cbb"},"sample_id":"sha256:f3c3b046c61206644a083ab212f53c946cabcb47aeff5b0643de6092155b7604","source_transition_ids":["sha256:a7258a379303844b1c203693b95bb00e3d138b1c3b467963d30b2481d5c3e4b8","sha256:1697a01fdea1edd520574571e6ec71819805b7874782ab05b95375e1867329b5"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000366","trajectory_id":"vlr-formal-v2-0000366-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ce456f8c6400d586f4f171992ef0b79ace83241f2395c05a975782e89bdf2b59","candidate_id":"sha256:8f71fa1644cdd95ea0003823e82dc3c4263f4cd609d3c06508b75bcb8a96508b","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, -7, 5, -1, -8, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b8a54c82319743d153548e6481b32ea020f4966ec29b53e5141d156ce5467247"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:1b4533cb108bd9cc5bab98e3c802d030ede91ce92c4be481118c1ad5e19d8234","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 2}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, -7, -2, -1, -8, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bdd7fe5c84c4744e45ef8ff8821d0e84ceece289fb6d3ee1f8dfcb50dd3c2f62","rejected":{"artifact_digest":"sha256:ce542d3b827394212f3920d8cc08502e103cc6c624d1755f8604e05e1f14731b","candidate_id":"sha256:7fd4f80b9ce120edeaa3862acbf72b15559baf32c2b403fbd9d2ce83b69c7d5b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (2, -7, -7, -1, -8, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:44d1899a7d8b7a2581ba9bca408b13144dfe8c677aa8058254d109192daa72ef"},"sample_id":"sha256:cfe9fb2a721d0a1e17db14a9b9ed115267c53abd5904e34913ef08d179e01d89","source_transition_ids":["sha256:1ea2b521aefdd1fba27d70f7c3a86daaedc32ad42a249ea1455d65167a47226d","sha256:23d2aa03b06f565d8a42b8439c61a00893fbbf2c543966918c748decd5879a63"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000366","trajectory_id":"vlr-formal-v2-0000366-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:25b8ca8f9f62e706cae5d4cd2ffd8cfa947bb1d35176bb5450dea8bcef199c77","candidate_id":"sha256:e5f708abb8d2b162b368bacb164c1b41833272076aa87b1fbfad291b535d6be7","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (4, 8, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:28b2bb716d593062e30a6857b3d68c2495757cefa89d79ca163bbdc8c3c8a391"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:7d2d48bc7afe25df461785bc2381a1073d8c9da38cf37d9c2ee83d711d1ce151","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (4, -6, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6c3e0df8e5bc0bbecdd7763209b87caf40b72cb3035daf6086dcf49f99764a81","rejected":{"artifact_digest":"sha256:ffe2873499a28a3d12ba40c43ce641c5c714559175e25531297f707222904b25","candidate_id":"sha256:649b9cf45f6cccaff046312c2cba03f9910e4f441f6b5b7e1066e73386893852","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    table = (4, -8, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9e07e15f020efb78b2d14fe0646eed9471669eca14d0d6b2c00014feedbf5068"},"sample_id":"sha256:9bd023a99a6d5eee74d88083922f2f48242d6ffed7957e8b4db5fa01f124b8fa","source_transition_ids":["sha256:497ae9c64246d4f9929d5ec183f962d19fdec64976a58663835c6d858b15f629","sha256:e2876da77312cadd3dbf29ca189b2ac7370a002808a26d0dfe1487272bcbd558"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000367","trajectory_id":"vlr-formal-v2-0000367-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d14458af99dbce315adec331926a0c6eddc66ff9926a7f14a0d34d73add7a5ae","candidate_id":"sha256:52cb9931902bef9511a65fcee04045209ed8922aae3c751d4fcaa7795ad519b9","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 8, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c020a2b14db63bec41333ceeeb40f206132e02ec86b7f4ce92638b3b44171c89"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:e5f708abb8d2b162b368bacb164c1b41833272076aa87b1fbfad291b535d6be7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (4, 8, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:10f8849c7b711ea12039dfd0c3a61402bd1945826a62b492bf89f45f06aebfb8","rejected":{"artifact_digest":"sha256:82d6bcd9709c8cc24a7d850754d4c8d3cbeebb0c43fd578896a3360df0d59400","candidate_id":"sha256:b0765b6d4250b1fd17889c09bbed76e786fa162f980cc54cfee2ea4b29155e57","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-5, 1, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8b4eae1d0c08a18616c802ce746c87c48da9222acc6cdb63058d7978a63bdb5b"},"sample_id":"sha256:1af7dae91689e44c183b925af6a29fbdc928c940b46a7db9715ac22779595e75","source_transition_ids":["sha256:ea12ae97b4e70d683722362b33a5e2cea1556cda438a7f9f8fb1f0fd7475c5fa","sha256:d1f2be8311d2eec3c1e78d0f70feb37dfc16fa5b019a3406b08a9558e3a798c3"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000367","trajectory_id":"vlr-formal-v2-0000367-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7e921191ead0e174221baf5e6de032c16f531e75d541afdbb3f6fed18941117e","candidate_id":"sha256:ed31363ee95eaa56898c6dec8038bd564792d8788720d0506dfbabd214a7c4c0","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 8, 0, 0, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:426cd126e9970faf4bdfd6969ad1a4540b65d4b6016b5a1812fd9afd30c23806"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:52cb9931902bef9511a65fcee04045209ed8922aae3c751d4fcaa7795ad519b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 8, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0def09116bdfb481fe8a540e96e80cec341f7656e3170c0fc0588a5f97de20ab","rejected":{"artifact_digest":"sha256:62039134d48c595b4e54af4cec6d2e4cf5182dc307c6e8f362612c82370c5b68","candidate_id":"sha256:c96a9bb11e0bb43724190becda1ef4c8d5c23b814445933921c9dc9dcc4916b1","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-5, 8, 0, -1, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:383a4ce6a7eea741f9008831e9242c55559429a801ca029adcec2218b58ced24"},"sample_id":"sha256:c2098565567b0bd6d0858ec49f36e36c30654890d711f51ad55c3569034f059e","source_transition_ids":["sha256:5c8efcd8b03adcae0db99dc105c6802638d91bd45aff66bd0b799ada651e6ca2","sha256:2aee8251c52f55ba59a722699f66a41aa1e524413b41da7f35369eeaf59e3b59"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000367","trajectory_id":"vlr-formal-v2-0000367-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7f432df6ce13fea1a529ea20486c1689618e4a172dbaff0bfa548a53f0bfe9f1","candidate_id":"sha256:5d74f66c67ce94fd6866759cbe9d7ad28c5a531756c1a42c9657d6e5fc4f1d09","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 8, 0, 0, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:39d67db9aa2556d8d636165a8f552bdb7fea1106a93781e1b52396388b71fd9f"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:ed31363ee95eaa56898c6dec8038bd564792d8788720d0506dfbabd214a7c4c0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 8, 0, 0, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2e9dd3b0c22198fc151845fab194193b000bd38394670e930e08288fb159504f","rejected":{"artifact_digest":"sha256:85e354afa547beb5e087af9d1903294141a29cd4c3996f1cb2d27d5dd868f4b9","candidate_id":"sha256:4160fb21de92e1d7ec8eb6015977146d239e56b08ac1c8696f351f9ec707e23d","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-5, 4, 0, 0, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a3771caa414161b17bda25110418599c593f63a68cd052385683092d6989d16d"},"sample_id":"sha256:30ec9d375f0222a4ee45d677bbc0e4a8945180ab0c94d8915fe06d0dea2a3b3d","source_transition_ids":["sha256:f268e75d9fac84ce4eb68e26f2d77c9de200d98a5e0037aeeb9b1039903dfa21","sha256:aab642f293ec251ce080bfc5f9478469706347042d8c108281885f447c4b40f5"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000367","trajectory_id":"vlr-formal-v2-0000367-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c5b64575570ecaf22dad15e6dee16baee86290e4020cb809b63f77fba44f83ca","candidate_id":"sha256:4e3b68641d61f6dc48870cbcfd206494e5c50bcf60ec8682ea89719b3d0155d0","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 8, 1, 0, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:49b56b6a1273788ad32c5c7a4495e21c7d8b185a3f8495b19da1998545e2b0a6"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:5d74f66c67ce94fd6866759cbe9d7ad28c5a531756c1a42c9657d6e5fc4f1d09","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 8, 0, 0, -2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:35e2088dec4dd186e6e490e5627d5287c7135fd9b5cb866eaa222cbf4a507c45","rejected":{"artifact_digest":"sha256:972d86481cce01fbea003a8812292479b787de33a4047e0908328a49c51b8dad","candidate_id":"sha256:9f137cf1945e654c16c52c2bc4cc51a496b3250df187d91b0b7826ad0c55dee7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-5, 8, -1, 0, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:07d564c36444dc1faabdb9f67d6fe33edc5fdac8efd38ddb30a9f7076b767a22"},"sample_id":"sha256:3ade5d67df5c334af3f12375beeb02f53dbe017050fe64cb8d982d94799c45c3","source_transition_ids":["sha256:01dd71f02558ec91bbdc34d15d796eb4e91b1594e9d026cbb98602bf1cb64651","sha256:d2f3c3a0e02869fd548bbb02d9c15e175c5f99ffe77ebe8b7531878fc5331ed6"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000367","trajectory_id":"vlr-formal-v2-0000367-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:86a6d25c49b2189aebf137e022a56ef713c20449d1115e89b3b68128ba03f800","candidate_id":"sha256:22e2b6a875650fe43917e6ebe5cd7a082d87204911415dde64161e96c9496083","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-6, -5, -3, 5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:6eace01991aac364453caff8e287c8fef4d4b184e0f0139825dade08fa339c65"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:56b921ec0d63fcb3d4628eaaaad01ab328e66083277dee27ae276cc205945923","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -33}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -5, -3, 5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6a2e77696e54147e20f68bac35453a712f904648e351d94eda19691e72da9b72","rejected":{"artifact_digest":"sha256:7db13cef7000bc68eafd950f45697ab942d2b9a89849572aa974af2d019d45e3","candidate_id":"sha256:9a368690664c2658a6a6670b44efd4e4907c03bd7c35819cb4ac32f574ba1364","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (9, -5, -3, 5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:40f225738af90ee34833cabd56ec249eebcf7ef5b9f658bd72175059d25208fc"},"sample_id":"sha256:f8b7cbad5b2c7b5097694e1aa3cee310652c954e3f19f06fa69ed5770e82d9c2","source_transition_ids":["sha256:7fe8dab0dbadc0b3df309786f73c223be20bad67f8e8db82e957a6d14a4102e3","sha256:89e6eb0f3c81065f092b7d940446514d6c8a2beb7ae5cbae330de067bd2350df"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000370","trajectory_id":"vlr-formal-v2-0000370-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4fb22e9d3b55e2256ee80c448256db09001ccb667e03a6bf6f3afda41585d8ac","candidate_id":"sha256:17dab6307b8c8c15f11f962b5c64f0fcf8cf2ad171f7c97422bfadc4e7cba9e6","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-6, -5, -3, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:d794726758014d542167a9388752085f4e8140455187c06e020e3a8a93b45d30"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:22e2b6a875650fe43917e6ebe5cd7a082d87204911415dde64161e96c9496083","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -33}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, -5, -3, 5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9339280be4f0d6f78dd81d0a32a29335c5ed928c74d5e8e12d17e044d5d9d8c4","rejected":{"artifact_digest":"sha256:7db13cef7000bc68eafd950f45697ab942d2b9a89849572aa974af2d019d45e3","candidate_id":"sha256:9a368690664c2658a6a6670b44efd4e4907c03bd7c35819cb4ac32f574ba1364","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (9, -5, -3, 5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:40f225738af90ee34833cabd56ec249eebcf7ef5b9f658bd72175059d25208fc"},"sample_id":"sha256:c3796ff8230888ba88cd8297f364e1c955991f936f9b193accf8e31896b3487f","source_transition_ids":["sha256:d486a43bee3799aa27b39496b817d15bec1334ef791985356ebc48b16454cd1a","sha256:e038120970875c87b68db634369654e668977930d198b4df94c5f956393ba1b0"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000370","trajectory_id":"vlr-formal-v2-0000370-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f39c0186bf65513aafd12bc8cd8898a3fc6edc80453d2177f1f62614f342daba","candidate_id":"sha256:31053caecdc2da3042dc89ae1a7c392c8ae96d12da58b2bd933ca53bf7d14948","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-6, -5, -9, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:fe407f29644f8bf13d420d7ddb4db4aeee9c3ab2c273a2d2b0efa2f483570d99"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:17dab6307b8c8c15f11f962b5c64f0fcf8cf2ad171f7c97422bfadc4e7cba9e6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -33}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, -5, -3, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:77e6527021dfec579933515f16d3b50b99b2ebd62f825cd872833172688e2f14","rejected":{"artifact_digest":"sha256:50b3630a274be8a9d7f294584247f3677068d05465237b4af0d7d4413c6e8d23","candidate_id":"sha256:96e7cbc0e5c5c5d4275114a39a3ff64a38998b21baf3d4cfff7684e22b52e18d","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-1, -5, -9, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:56c11471f9c6465ee2632f1aa915fbf5542eda96d8fe08c1caace12015e16570"},"sample_id":"sha256:e9c89c330c01908e06a93acee69118a16b92b7d8962a0ee1d53469f63d195dcd","source_transition_ids":["sha256:6632a0102a0757e0e146fba20b73333eab2eecd268d7bc6bdda4ca31c9749630","sha256:4c09e3e8bd7a8d47eed779c430881f58f7571f6a5cc0976ee3a1949094a1f48c"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000370","trajectory_id":"vlr-formal-v2-0000370-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c49c9a4abc1894a6334c8590b216513ac1cdc29c20bf7ac3a228c7995f563222","candidate_id":"sha256:c2255c39e440c868ad19f9f70a2ced87ac5b3f79fc195ae9fee9911c135e9f2c","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-6, -2, -9, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:259604c5f2a7a2b1aec6489849c86842090e2a44122d2e9c789c04909a8d8768"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:31053caecdc2da3042dc89ae1a7c392c8ae96d12da58b2bd933ca53bf7d14948","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -33}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, -5, -9, -1)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e0e8b76d50acc2248ff4fa86f6667c6cc036dd781ca74bbef6a161bf63937a19","rejected":{"artifact_digest":"sha256:918f473347db244c2b722707557af04ad410b52a9f10ebc995e9b34225ea45f3","candidate_id":"sha256:10d701882d9da59367860ab9af4ead6d7fd45d224c537f3c7f346daeca8c832a","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-6, -2, -9, 5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:c2b0225c104eb59f47fabc6c60d14a77ab32a71699c6379265a3b25aefff2d59"},"sample_id":"sha256:474770df56f2cef4ad061011c61385ff4659d937d94ce0973e7a89599912cf42","source_transition_ids":["sha256:cdfe05688b71ff96322663d9acc1acfda4b0778bd928fdbb6a8dd56ed4f94d22","sha256:69652d49aa8b9910f413bcd27256883a03d38d412aa41d782be572b40de5b7d9"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000370","trajectory_id":"vlr-formal-v2-0000370-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9d4f745d088885b18234b1d22f32503d05b4a3953fd08060206eb37ee57a7898","candidate_id":"sha256:07fdbabfdf63416f4198e36da55d47274d8df91671ebc9048fd67549a99c1769","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, -2, 6, -7, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:733ee72d0c44219ee2de1a5703aaed4015b3b65efd8a7918eefbee2479d3245f"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:7b7b14bc3e3285776fbb7de2f494a15f4079a32efa3ad334697238b689be8c93","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:6c7d80c122ee6cdb19c5b1f565d222de58a53f1dcf8b9a8633459239ff7e9e22","candidate_id":"sha256:f2c155e5fc5efdd84f7654f1dca2da9b4950bb9b4f347295ea8305bc9c98d2ea","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, -2, -5, -7, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:172b5b64ea3c76e49f6bdb59cf2d528be53a430b0a5fe6cdafe9c789ddce0b1f"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:a52a62826a2e523016496b27d3d9b4eb257baac0ea352743136c1cfc751a7d58","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -2, -5, -7, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:97c9788008ff775b2151a984ff34e20b9e356e4145c2e4047ed64240cc62fe65","rejected":{"artifact_digest":"sha256:4bdaa5dfaedc6e386679ed8190e46ea939a0bf839bb17661f8ed4034b680152a","candidate_id":"sha256:d2e5ef99079fd0a8e93454e7402d2249fb051a6b21797c52880ebffa4b52bbba","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (1, 5, -5, -4, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:929978014c10cbecd604890f4c0135967ed7ade7588b8eca1b63590767a5fda1"},"sample_id":"sha256:0bf10560d3cd79b92f4ecb5f8c614ebb839194abda8dbb614ec0776a8fdd057c","source_transition_ids":["sha256:de658510e4c8c8db9427fe6082f4f3d59743e87151c0c4249e7beff268efcbbb","sha256:da1ea6cc33bdd122dd8ee5c41d57450fb7cda4008dada9978efc641e32377dce"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000371","trajectory_id":"vlr-formal-v2-0000371-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, -3, 1, -5, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b63216b064341e18d9841f5154d46217a3f1fb1ee3661f96da59f81770d50104","rejected":{"artifact_digest":"sha256:a42874f9f92a9610b0fbfd2e05233f0d0c337b1d4c8dd75d04225eb4c489b504","candidate_id":"sha256:6daf1c8ed3c9607cff60581c5cf213a0184f0ff2dea58fac185a3ae87ee084c6","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (1, 0, 1, -5, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f68829e21d39e3c139432160b9b702f284a401cc08157549ff3fabee40625cd3"},"sample_id":"sha256:1ce1793ffda7841e36996f6862f27d3745536b96dd77ccfd5ac516c086e2f580","source_transition_ids":["sha256:c77728d556bb8c16a2f25cb735662ee1b8c61b9353870df1fde53b2eb291ba28","sha256:9593323407d4b73c1d412a711c6b2e7489fe0c77906a32db1ebf7c4aa85c186e"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000372","trajectory_id":"vlr-formal-v2-0000372-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:83b5c47d6f7bafe6c02709acea554a35b9c169900763cda3fbaf92158bb4c783","candidate_id":"sha256:aa28b5fdacf11985d77e28ad911de8d4594da9d62f750b5f6bf0b67f73f5f3ed","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, -6, 1, -5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:3d9b51c455bb8cb83f71cc5f29e640decfd28f0cbf0bef89bd8f1cc9622ef68c"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:225a934f4aac3f97498b1af480179c18348ab367bab9b33c66206539cb218f7e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, -6, 1, -5, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:839560ec8d5e8acca3504e586f1f9383ff288e0023ed677d3fed1326ce437415","rejected":{"artifact_digest":"sha256:e9bdfb17601c80c4dde3920ea16c793d89c4458c1647302fc9cd31f9b8238da4","candidate_id":"sha256:94775e63b001e86b7b0ef5ad0f8e4966f13d52c9f6664a2d1c8c38d30b3b9b30","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (1, 4, 1, -6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:6af90e8b5ac188b0a847935ca8d352ea61697bae641f299d55a9f96a92ba48a2"},"sample_id":"sha256:f4bc64e98feda96acc453683341c10a7e48ea1d56085cfdfe06648b903331f4b","source_transition_ids":["sha256:c20107a76cc66505ea2ff0a407d55e5beb743873df8005f07ee99a7d9bbbbdf7","sha256:57c8b0a775f0a2d820a6046afaa9960202e0dbbccd359077db5478f24d9232ea"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000372","trajectory_id":"vlr-formal-v2-0000372-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0a5e0f33d52ec2fdaf6c742ae16cc3aa87a979a4a347805354807b4488d40371","candidate_id":"sha256:6bbc62ac895a2a21531858f9eebe3c09f4ed84367d4b133e56ad96bc4e370cca","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, -6, 1, -6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c40d99935bdb1aca0f573625c2f2ddcfea38ce45f2c8c75122a0c83d07ed2c64"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:aa28b5fdacf11985d77e28ad911de8d4594da9d62f750b5f6bf0b67f73f5f3ed","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, -6, 1, -5, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c8447e81367fb57d7ccefc01d27e8693e039eb6ec33d7607df11fa522f8dda4b","rejected":{"artifact_digest":"sha256:89ed88243d57dfd9477db1d454c87996d3e71e005687156fdefeed1ef67acd83","candidate_id":"sha256:d13340f1bd09a5ac8cdfa809974e8677d84fac340ed529f258cad06c19783d53","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (1, -6, 1, -6, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0737eb9822dfb3805c100db16b5826febad9592ee56da4bde81fb894ff7ab617"},"sample_id":"sha256:b6be6a8487fe7df07f82e7900ddecfb42cb7b8538e797f784947abcfcc6a46dd","source_transition_ids":["sha256:a016718cc7cd27f6c7efe0b063d421c115209c9f4bf051a021297de05ca04970","sha256:eee4adaf8b121ca1b9230da169430e33d22134ed13f39439d2486102663074de"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000372","trajectory_id":"vlr-formal-v2-0000372-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6edef702e03606adbe317adfc6d40a32e476b9abcdcfd083af35b0bbce19eeae","candidate_id":"sha256:139a3744c6370b08051a434cf8428c85f98db3f460a9794667c7295e83963e8d","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -6, 1, -6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:31e575885a9caba3816c8e5e71d6830890960e4c8b119db3462709ab2bea5dbe"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:6bbc62ac895a2a21531858f9eebe3c09f4ed84367d4b133e56ad96bc4e370cca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, -6, 1, -6, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:51be8d1639998d120d17d93220cbae4e7d687720840e20586f1670ee9b719341","rejected":{"artifact_digest":"sha256:e97a74a4c400510be3989493653eb7c45517061fc4eae9be10916c717b61b3d2","candidate_id":"sha256:b358955b48dc7e74892f8d4f30f76b37ff69e8e904befd38f712b67c3cadf6ca","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (4, -6, 7, 2, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0ca73199ed1595aaf505a9eaa40f0a466f0b04811218c3cb2beae4c9f1c90e3f"},"sample_id":"sha256:6d048132122748e297caec82a99b43f6fa4fe41c7ac7fc3f5773f114f9e1b117","source_transition_ids":["sha256:94ad7f96a05320d32a2729983cf4f4ebed1a7a87c4f2cbaa6d6f9d525ae5fcb2","sha256:deec910e498830dab47430d5d7e41f0bb9e5e8e42e98d7a54b9de72349789d98"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000372","trajectory_id":"vlr-formal-v2-0000372-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:72a5df8d9084ac0cf9d4ddf34e88057d4af18703d94d9ecbb145be8bb7e634ab","candidate_id":"sha256:8d7810ce01c3e889b1e2dd7c41c23ccf4114edf0e3a92efc6ea7b25489108fa0","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -6, 7, -6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f06fdbb14999a5c50791d0c1ee51ee8d717af87c8583a863cefc91681aea74d4"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:139a3744c6370b08051a434cf8428c85f98db3f460a9794667c7295e83963e8d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -6, 1, -6, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:995fc8f3cf437521bc62b137aeec06c6c410a15e707e46f526834ec9d7242bd4","rejected":{"artifact_digest":"sha256:acd1e0c67bda0caa54502cc758adc36ace06988c4f388a3ea041f1858baef29a","candidate_id":"sha256:b4733e5ed4a2ac604296921fcc3a807c627ca574beb03a9aace590cc6a8e2f48","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (4, -6, -2, -6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:1b1d1706cd60b1046b2744d2d8f76910de4598c94097c6653369baf7b1d8e03b"},"sample_id":"sha256:fef6d4b7914b7b2db0ad0684ea821a55fc2ed5d680607e8672a28b285db994d7","source_transition_ids":["sha256:fa1196302727907ba3bdee21b00b962a6fc209d799ece0df26b5e86f3c3703a4","sha256:4e7b32c8f11259e233960981352df5d6645660ff8f1407701c9f2942aa0b9bcf"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000372","trajectory_id":"vlr-formal-v2-0000372-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:994a77dacc4e980ee31f38c8c0afb4799270c630ecbe8bc9f705cce17dd5c653","candidate_id":"sha256:08fb2c3d28d3d2c9ebb540dc0dacbb22bff8d8e1de0e544780b5c7e3169366e4","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 2, 4, 2, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7110a88055bb3e3883cc0848499e6ad8152c8750d9518ad530deb218e1dd9754"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:ff2678b0424bc8252d523a9afec70cab2a8342db4c3e6c1c02c7f36a3eae8c7a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 2, 4, 2, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a876c1833875db1bac3d5ff8821f974c1dc45e89b44d5da0091f0e245e1d50f0","rejected":{"artifact_digest":"sha256:8ddedcfcea55d841d02f3dccefb069b51a632ad957a8dbde30efe5d22ed39dfb","candidate_id":"sha256:26a95bb49de687158182842e503207bba8415c2078cec410e100f8d54528a3d8","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 2, 6, 2, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:4d14cf4af77ddb03a39e1b7d6a3efed6d61aa67fd48660afa8f587e61685c58c"},"sample_id":"sha256:d12fd4d7540f6fcb0cfdf433297b3e824c51bf085af11aadfd17b6e8afe87c78","source_transition_ids":["sha256:b1f730431474f5067f30aa1d567c074ec0023007f81da6b5dccdd7e021d4ea59","sha256:f1dd6707de6621003172bfc60e26150610b17ef179a9d6c1b0350dd0fb75da98"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000373","trajectory_id":"vlr-formal-v2-0000373-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:690bd6f3536a2128a2e3eb0bf347c283cd25d5ba73be8ae8d55feb56eef400bd","candidate_id":"sha256:caf7b27f9764700a3bd8a3a7daf53659e519c6332da7be704ce89093b13f3f36","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 2, 4, 8, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:58e39857f672483da1cfb968accb80f9fbf9d9e28a666aa75e3ee19f000cc1ab"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:08fb2c3d28d3d2c9ebb540dc0dacbb22bff8d8e1de0e544780b5c7e3169366e4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 2, 4, 2, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:87c6fc7c86684ab0b3847784e37c9d479963a38bada73846e4d890fa37611285","rejected":{"artifact_digest":"sha256:f30806b2a0254e996ba5b87d3c5239f0d7b81c70900423afe28820749a13aad8","candidate_id":"sha256:0d7f073d3c9679567a897b6aa9a5a241d184ef4aac6ce072727f52f245c2c85b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (4, 2, 4, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:ed19dd6d351992d344e1ea49d46ea23900bb44913ad979fb6d6869d68abe4002"},"sample_id":"sha256:dc6ec7b117a01ffac566e6276480b89f89c4ba0d0a083625d83e02b5b3ecb47b","source_transition_ids":["sha256:31271f528d61332b6fe41eac88687f272c9511cd31bbf985f47850cda8efd1a6","sha256:c678ea6125b79397d8426dc449db9626435d24742a3e868434d32ad22a981ada"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000373","trajectory_id":"vlr-formal-v2-0000373-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:83ccf7d7e7f486ca16f3bda4f273bccf51e35acdae3e8d743c7e42e13f3cba8b","candidate_id":"sha256:a0ea4414dd046cd4b2be848c9c16a64b6f6a6bb65c65c250eaeb7c015fa66ab0","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 4, 13, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:10e27bc5a1e68ac19e03a510a2fa2155b34012e1bbaae7593bf62693fceaa24e"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:3c1ed3aa3394d414f110d88c2171a931316109442fc94655985acd4227743cad","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 5, 13, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:53d8b230a0b4ab7c7804500099e7221b6afade03a23e75932e2a30ca0d03f728","rejected":{"artifact_digest":"sha256:576a6634daab8e56d80e9b9bfbda16e42de07cb08e18ba4f60fbf502aeb48686","candidate_id":"sha256:97199b048f4496cfcbd5501661304a005b3d023860ff0832ceb2a72e64b69f56","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (8, 5, 13, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:6f978ee3a775e35d530205f449fa37c45d8210eb4e4a0c480b9549404c4405c6"},"sample_id":"sha256:65c167b65444aeee26e2cf59ea7d66e9c0aae2a332b1439ac28cdc391afca4c5","source_transition_ids":["sha256:b16a3d3b4a79297d148c6d5ae9a542e7c8f70c4a9f600f7c447160f457ae2aa6","sha256:058f2de4f73e76acf0b6ff5ac478be2239eaa1b6b29c4fd5072dcf60d5d668f7"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000374","trajectory_id":"vlr-formal-v2-0000374-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c76f2fa5a5abfe295e99daba996b63c464e3ea2d152690e6613e9b3428631d7c","candidate_id":"sha256:cc38e400acb49cd0f3b2f191ba09bd8c7c43916f3c9b24d1777a0f32750a2d26","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 4, 13, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:af73191ce168310d61c4137bda99e5f3069d88f7313e8d20807ed18bfcbb7f9d"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:a0ea4414dd046cd4b2be848c9c16a64b6f6a6bb65c65c250eaeb7c015fa66ab0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 4, 13, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:09d9409061d9457ed6e241d40074329b6926b910b2d5c0c4f334c6b64138ef69","rejected":{"artifact_digest":"sha256:92bfaa9c4cb955790dd7d9f580ca8977569c3de8464da71a417a57b3f7db6d0e","candidate_id":"sha256:6c20e09d8941761a3ed5118f0c9562f9890701db8a5e0df97332cb89eb7015dd","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (5, 7, 13, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:16324272a1a6ef34f4959e938d42e1cbbe64104a7e930095fd144da8ec1116e2"},"sample_id":"sha256:1d6aed2d2d9fbd82afeb3111640c831391c14f1ae51c84c1928d35d52a4eaae0","source_transition_ids":["sha256:0fb569a2726861a108e031de0e83a18f35d47a239da6c6dfced4f92c68d7b7b9","sha256:cfff91b326e151c1e51a88a9812760f2c818c3c6a7e857bf0f3870fcb817458f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000374","trajectory_id":"vlr-formal-v2-0000374-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:df56eaacfc849615c50d86fa40ee1d2969c1a1c9049b73e1586ea5e0346b8974","candidate_id":"sha256:af940de22983ee28b342dd8ad6c2d7cf2578847764dfd16a438caf879f7d0160","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 4, 14, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:eb8e75db62a059bdabb35f7dd94e4c84d325be8fb07711a19d1005f92f260d21"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:cc38e400acb49cd0f3b2f191ba09bd8c7c43916f3c9b24d1777a0f32750a2d26","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 4, 13, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eee726e2d6769e6d82b77fa797340a6be362620657280f64d478714bfa1fdd1e","rejected":{"artifact_digest":"sha256:da0bf013f97e7279418b7fcb589d178646cb7656cb3bd6c9c3bbcfd73f10a617","candidate_id":"sha256:3c57db34927e1d60850bfa3c89febf874dcfc604d0868ef9c47a2041f6676be1","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (5, 4, 10, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:95f9ecc7798728e7e743d60d423a879818a78fbe206b6e06def11f3041253642"},"sample_id":"sha256:65453f838b2ea0b36e45b9c897b7364b70fa9a16d33998c2677278d6c8a1c321","source_transition_ids":["sha256:8cd7c4575cbcecc7a5da60e95607b13aa3ef6945900cf9893c8e2d204c986c07","sha256:4e47742468f5731ccc797cb7c56d39f0f69e31769f9eebdf79c842969c3c9d00"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000374","trajectory_id":"vlr-formal-v2-0000374-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7e1b7888e12c9a1f56f020e7f18d718b9dca7c9fcb36994c949bca0a03c5425f","candidate_id":"sha256:0c376fdeed403077934ad9a58f6e30ebc759e261b427a0992d4b708fec41ffbb","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 6, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:9700e53fb4e8b78afe9ea47a9f9fe419f6ab8adcf7254561c6e7c8cf0adc53f6"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:8abba4e7e108151b348ec071163b0807a343d6dff922cc2bd15cbeb3bf5f28f7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 6, 1, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5b0a4ae31b705ca75e4902345a4a9eb3e5627d1dac15ff26603d9ba5f83c296d","rejected":{"artifact_digest":"sha256:ff8a4e5d9099c5a481d7b2c01eca075793be7c72d7e674b6e9676e515d1cca1b","candidate_id":"sha256:7418a1a45c975a004bcb8a05fc79f0da04c0e254937cbec73f4a2eaff9c6b730","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (3, 6, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ce2b14ae1179e915107ff0e1d6e3a29c195a5c28eca75b52ef91f8dfecdc4340"},"sample_id":"sha256:3fc7ee64dbf04403d3bee600f311904d56a11ae75e4d7895a0409e7e23c520d8","source_transition_ids":["sha256:1ba1a2be807fc6ee4bfcc6f9ca2c1ea01fd2ebb92f1de8046f6d0dbfc898eea7","sha256:ceabba27469a3446a5422b88a3f1eb7765765192ed6845458667c8400595020c"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000375","trajectory_id":"vlr-formal-v2-0000375-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4563d08f8eb78f8564ee90a3f5aa238076b11d664086159f564905e152b41a62","candidate_id":"sha256:b2f5cd3306e71498566924a37fac905379cfd0d77b826ede6a7ee383ed8863d8","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:be061f83235bf3ba42d700309e367d9115219722ecbaac942abd6da3853cf972"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:0c376fdeed403077934ad9a58f6e30ebc759e261b427a0992d4b708fec41ffbb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 6, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:944292099f01cb57f3bfff02f891f881ef6af19c68cda298c0354a6e2ae9c3a4","rejected":{"artifact_digest":"sha256:3e537b4ac96f19493586be5838fe46ee08f10f213674c5a6492656b9b588d4ec","candidate_id":"sha256:086c067a64ecaab4c990321291b09de8e625391d8fefe778137f2dcd892f1508","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (3, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b6b40b521062c3fa903b95efe5970d7630218386cc638ea19a0f1c6deaf4cabf"},"sample_id":"sha256:aa031b7e2df48aea4b850f04eb5f836e90d3761a60d68b7e17edccb2cc2c10d8","source_transition_ids":["sha256:e7e2a2bc527801c8777c98cb46bb41dbdf3a33e6b0e20f1e975a9d34d7a9ea10","sha256:0177b62a83ae9c8a42b25cd9fe8dcc2c273c09a3bb0f5798802d0e045dcb0f4c"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000375","trajectory_id":"vlr-formal-v2-0000375-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:43df099cb5ac249bbaafd9152a00fb0fbddae48f6e83dd34f8d6c81025445532","candidate_id":"sha256:ab2e30e67bd1af0c938d77ba539a2d1881872461fdca29813ff51b467bca1ebd","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 1, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a78436af7611f5c55c3dd963d49de77ed1d513e7a47f4ec355493e373daba010"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:b2f5cd3306e71498566924a37fac905379cfd0d77b826ede6a7ee383ed8863d8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:03b6046bb98d92b2c745082b5a701e53322f29b9c39b12e830152d87ceaf65ba","rejected":{"artifact_digest":"sha256:718e13ee074ef9cd7e785baafd22ed036a22ffc5422744284a5b0bb5af9b52bb","candidate_id":"sha256:d7be649a6e5d8742c950f638242b741dd6364b51eb15903dc949c6156d8929dd","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 6, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:30302532fae0fa24b2dcda65668e16a06f73e61208832bf19335727bf473533d"},"sample_id":"sha256:9afafc6909d68257bb761eae35787c9af721ae489b75dedccf22198339640f55","source_transition_ids":["sha256:334fb4780b013d0e87a57bb3b5afb8f7086b02a8e51a64adf7a1fc1833bdd00d","sha256:66dd0a8e3bdfdf55cc0368f5c74e76616499ef520709669363dd280998f48f74"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000375","trajectory_id":"vlr-formal-v2-0000375-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dcfc08911d587ce84cafedac28dac8a2b21a89d1ffbdb18a399e3eb8f5d5cec0","candidate_id":"sha256:944b2b86e03351288527cd586b8a382c06be9b0c36da67c477d40ab0e81c9ae9","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, 1, -2, -2, 3, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ad05c827e849f98faf817ca33416eaaf5dc769f6ab18fd357c98fa26e5c1a7e3"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:f48ce78cf89b132976220adfc49b566e93a6bbbd305d3bd5a85bdf1788573599","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -1, -2, -2, 3, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e621d5960bafaddbdbe3cfad20ace93722e32990fabe65b7ca2ead32648fa86a","rejected":{"artifact_digest":"sha256:635dd7305f43fad3a00de20b8bfe14afe0a6f1fb70be5ea9a6d63edd83a91442","candidate_id":"sha256:66371dd7f76a55f70a741b1998318b0980197ae973368b6ffdcb1730880d385e","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (5, -1, -2, -2, 3, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:dea00ad9bf773818630174747f784a87b6ac79e7850eb6615857622ad52a2eb9"},"sample_id":"sha256:2f9e8adfc0a5f794b409c74ea65893fa4fac53a6eccff741517a754eb92cddff","source_transition_ids":["sha256:f9ab238318cd0bf244d9cea0cd9f12b5e99f6891ce9cae6a6fc96954d5b4d122","sha256:defab98066eadb948308391bfd181ebc28245d8d66c4127371c0cb7a550c13ea"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000376","trajectory_id":"vlr-formal-v2-0000376-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5f2599c0863a9ba786d3575ccbf25083949cbfc4ea9042864776316141c0481e","candidate_id":"sha256:0db797d6425a843a048a255d7322cc1f6dd1b416044dfad3f9a2443e3affa506","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, 1, -2, -5, 3, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:eef944d3b23d20548df756ac016d909f23fa914fa0d5d4702017aab0f342604d"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:944b2b86e03351288527cd586b8a382c06be9b0c36da67c477d40ab0e81c9ae9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 1, -2, -2, 3, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e66fd823cde984ef1cd084a2ad69fcb8837d9c5c1bfa17f0024152bc7d3f3a9d","rejected":{"artifact_digest":"sha256:2366281986311d481ab3f28ed4d34dd613c0c0cb93699039332e30ff9871f6e3","candidate_id":"sha256:e65a6db32497e6369cef5e2c42f711e4255b771e65988dc1b995a2a609544b83","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (3, 1, -2, 7, 3, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f7a27c42c308b12fd3d90a9db134b0486134ddf5e61adf654b4357656d6d0b60"},"sample_id":"sha256:9c8b46508df1732fc2250558d6bc7e0ff71c6696bc8ba1fd32d7b60facf8cb35","source_transition_ids":["sha256:1513ade5697af05f976d6ce106eec357aa46df0c96e2ff8fcb75f110ce2856dd","sha256:130fee711408f32e5543e7f612aa452ac1625a0d2f02ed307127a263c0ad524b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000376","trajectory_id":"vlr-formal-v2-0000376-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:d2ee38c3af7408b6ac08791f6ef716c72193440d5a5ba1f6b9e9b83cf7bc1991","candidate_id":"sha256:f49b804af71365ff22ae25c9e8d595f3a9323c54db8ba0192f0f8b6304f441de","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 4, -4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ae31e0055a04e3e7cf3671cba7cd00af271963ff22e3b74d901dc31579df6b83"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:a72ce0a84d07be36a90eb95f498a31cd5ab1828c866238f53d7d53f29f9c6846","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, -6, -4, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:63d72f760a71b01466aa14759869511b2e2b29bfb7a1a7fada10c6fdce56bc5d","rejected":{"artifact_digest":"sha256:d52782bd5606c645ee9f19a6584171fc1b310036ce8cf95cc20b6b053729c835","candidate_id":"sha256:1bea357a2fb367cdfca843a3168c6943f4a5dee48f97abf38ba19a03dd3bc6a3","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":15,"phi_gain":-3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, -5, -6, -4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b1547596456e94babce1fdd1d1129a015e4a07fa6be04e186bdf41debfb3d4d7"},"sample_id":"sha256:c863234e0ee769d606c60f08cd148d2b6dd8fa8f6275510e108e87d5f9bee9b8","source_transition_ids":["sha256:cf56601828948c5df2f40ecc400ccd40fce817855a6694ce34c08fb6454c9ef1","sha256:9fe90c4783f2019a776220da93c91f017c84d3d9dcd7ca3fb3a5cb285fff82ab"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000377","trajectory_id":"vlr-formal-v2-0000377-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b62c260a24b3b50378e5a769174d11c2bf3cbf54b89844d1959e2b8dbf7d407a","candidate_id":"sha256:32d4419e8ab0ba5d62404f8438d7f0a781431fa102f650295dc27044387bb486","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 4, -4, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:71e673a5e27f02309023400307b58d75ec481b3e43744d39f9b0ddc19d85a515"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:f49b804af71365ff22ae25c9e8d595f3a9323c54db8ba0192f0f8b6304f441de","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 4, -4, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:30c215fdedcda7e9aff0e21ef7e8927731c386a76fb2c4b42fd3780337cf887b","rejected":{"artifact_digest":"sha256:c455b0ace65ed2a697aa0fcd59cb146a7400ca4aa4aa9fc13924d8137f11b68c","candidate_id":"sha256:8717d1fb69ed66701050fe4eafeee15772d213dac693773e48e404672771e1da","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, 6, 8, -4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b6aa113cf9be4f5b152e63e429537f61a4ecae79652f5bb206e6ceafe536981c"},"sample_id":"sha256:9819ac69413f27d1dfa9fe49e83a4005e1d87fb97e7ee534b20419aef06adfa5","source_transition_ids":["sha256:c6dae5d579b204a63ddd54f759b2b3bd9def782846b572bb0d710b95f000265e","sha256:7c7dac78c1ebf0686606dfa28c4c5725d39b272e3f38c7508ab717b0f86cecbc"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000377","trajectory_id":"vlr-formal-v2-0000377-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9bcfa11ec0bbeae3f0a4eab07c1be1aa471968a7bf03e1a260e55fed7b759ac9","candidate_id":"sha256:2ac1ed6a56a6005f70bb864a7f95d61f48b48eee50c1d112114b5bfea48d8ba2","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 4, -7, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1bc5a68d2e9d9d8915c97532d1a82b296f939d539e0daff27232f22f8e20fa89"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:32d4419e8ab0ba5d62404f8438d7f0a781431fa102f650295dc27044387bb486","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 4, -4, 8)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:35cdb41ee7b169db7d7302092d2fca772032facab9284bba002553658299f921","rejected":{"artifact_digest":"sha256:62c7a1990dc881bf9eb385dcf571f4bb60b502c37ed641f90fe06238a51517c6","candidate_id":"sha256:fd73f51a2d3475795e88b0a40d5648f728e48b3b363691e5bf1f97bfd8c08d22","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, 6, -1, -7, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:289fa9fc2a384b38b5f88db511c838198d216d671e482d8d62a42ee4e2658b9b"},"sample_id":"sha256:7362febd34ca04e4472489d5dd59c3097cb9fbb83dd5872bf2a194d6efbc0370","source_transition_ids":["sha256:1e38ab8ef2c4260b2e00b635d7b71f56dfe542de74c7b9612fc2af8db3153a9b","sha256:2323f08d39ee7969a38c3874b17ba950f5f6ed154552f594af75cc7c3e763afd"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000377","trajectory_id":"vlr-formal-v2-0000377-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:18c5f3535352b8948199e1eb4cde62f8c6ea284284e3ff90683de40d85852a64","candidate_id":"sha256:906c5715d29db1e4ed63463e3cf68408d03f131779f5b68ae39f86548fe838dc","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, 6, 4, -7, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:079aa96cc935ee7da4d61ac86cce1d286061fdcc66eaca35b4622dd33fa74a38"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:2ac1ed6a56a6005f70bb864a7f95d61f48b48eee50c1d112114b5bfea48d8ba2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 8}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 4, -7, 8)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e6f80eb545bd033fc9f22271c78e056d41934fb142ab401d2150c0ffe49eebfc","rejected":{"artifact_digest":"sha256:08c866523ead30b8e90a5c3bab5425d7aa6bc4f3b4ab021c869c4f3b17156dc0","candidate_id":"sha256:81ee597aeb2e568f72d9f1cbfa0712733d84ad7b86cdebafc9e1dd3773b59cf1","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-4, 6, 4, 6, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9a0db9b897a9f16bfff476432917a1f3f70674913d83b16c71b0f11c67e9c941"},"sample_id":"sha256:f9c13cecdb061ed1e3a1ebe45955b3ad7909802dc78f6263d085090b247662b4","source_transition_ids":["sha256:55ed7becf46fbd290222e74c9334f4a7c194d6a77c7031ef4c3c2d8f43d99fdf","sha256:19807030e8e44462762e9fe78a071996afb6c22ec35e83232c051d39a11c3154"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000377","trajectory_id":"vlr-formal-v2-0000377-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dffbbd7ab998bf7af657aec7b5f9b3d93913a8ca321ce2f874dae57f949e1560","candidate_id":"sha256:0479b47fe2b76b126942572b184dd75962bb39f279c31d3727bc1ee01d70e283","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (1)\n    return x + (2)\n","verification_digest":"sha256:1460305559352f0e1cd389c67e7632446018b93e7197bde15cb6cf1990053982"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:03c1d4b6743aab7b4527f7737d0ef44466027cd7e93a9a49138be73aaf07f071","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -19}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 29}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (1)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b36639a9c5dfb576e98203a9cda6f94d8ad6c8a6b7c6579287ed515863768732","rejected":{"artifact_digest":"sha256:0962a5c8d3d5ea539d6b204a85f4d2eec62f86d960bf7d1224c97dec6eb5b839","candidate_id":"sha256:a968d2f272dcef51a52b94068c430634f6c46a1c28c27ab27b7b074b9fd1bc45","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (3)\n    if x < 6: return x + (1)\n    return x + (0)\n","verification_digest":"sha256:15eab043760feee7a1c3284bae1958d7e43067299db8b710be8047224574c0cd"},"sample_id":"sha256:1147e16f91919d89b9033cf5a951aa44959e5cfbf926549cb5017603b2cf0b79","source_transition_ids":["sha256:a07ab2d95f12dd698363f408f93e7986b726642c44a3ddbc0b774de328c28afd","sha256:f0f219346e3423e67487b724ec8ea3c298baddbfa40404aba18350f02ac09654"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000380","trajectory_id":"vlr-formal-v2-0000380-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3adf605e8cf50d344d35c90d62bd5208818f94a7180ee3bc92a77c0e96225fa6","candidate_id":"sha256:cc808367ec32b7927acc458ec568685da5b971962aba62c505dc783ec11b9cba","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (2)\n    return x + (2)\n","verification_digest":"sha256:56558831a754b4f72c62031b5e82a27bc0592352ce7a7e7df4a7d8f14cb3f904"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:0479b47fe2b76b126942572b184dd75962bb39f279c31d3727bc1ee01d70e283","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -19}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 29}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (1)\n    return x + (2)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:326128017b555825dd976daf2720bc38db41f2bdd1e58289a6573cf9e629fd14","rejected":{"artifact_digest":"sha256:afb3ef264bb7e963331390f179b2bfad450a6dc9ffc3bb8b869fa2e739d73b9a","candidate_id":"sha256:14b23dcf8cb40a6c6b6a113abf90f135f0eb5b895493c58931ee8ff835deb30c","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (3)\n    if x < 6: return x + (1)\n    return x + (2)\n","verification_digest":"sha256:4ecbfaa11f21b92f6a6dce6f86a4a62da65fe6b05947507052b9cdaa3a511b04"},"sample_id":"sha256:438df562b9d52db6ef674b3d92568c808d71cf4e19f38e724ca4012ac90da983","source_transition_ids":["sha256:fa0e9d2f4b9b2d4772b50b50fbd1e42ab745652da8b9c1fa1b231f31e1fb3e74","sha256:26e18646067b7192a307cd5e02e4ff18eb73e764650edf3a58e24fff7d346df7"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000380","trajectory_id":"vlr-formal-v2-0000380-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ac7ed4cf6b2954a36e43ac62510346633a96016669aecb5e27a5d9779b037891","candidate_id":"sha256:7413df8fe2a86912959bfb6a7c4bdc492d2ae53540ceb3793dfc8f9a448b4ba7","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (2)\n    return x + (2)\n","verification_digest":"sha256:2b1a0b50ed8e17d2458bb1423c6b8f7b008dc0d2484aa977ab4a93c772be72f0"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:cc808367ec32b7927acc458ec568685da5b971962aba62c505dc783ec11b9cba","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -19}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 29}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (2)\n    return x + (2)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:708044d4982a4b1b5a1114f6ec4457ce5ae1a9c2269c8feedffd36ad43df5e51","rejected":{"artifact_digest":"sha256:8abb751906a0296be2c38feec114bea5e362d7ea93e88fdfceb3de0d7fce84dd","candidate_id":"sha256:1f27c3a884b4410c3736a35b4f51e68e23e04c16c1b12f241a5b783002ab01c7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (2)\n    return x + (2)\n","verification_digest":"sha256:c42949309343158582e8460df0533a15d8ad594f6a305d7b5126a1cb9a111095"},"sample_id":"sha256:1656a09db22e709a6d184c6cde82db6d0cfae6b86b0412983b8fa08bb0e09183","source_transition_ids":["sha256:c584f78b71c1a8e76e335f1ba2d888a18f8c8d35597e6f3728dd76b119347734","sha256:ba2aba7a54b5059f2ba79702218e6cb3cb12bf508c81b7020e86cf4fd82be294"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000380","trajectory_id":"vlr-formal-v2-0000380-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f75f9a0b6305a069a0827c1792377d4b200ce956b461190d8b64715d60f2e617","candidate_id":"sha256:aa96a3d99e76b410bc749bc559602a2d33fae089d8eb5a80c36d5268fc110e9f","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (2, 1, 6, 3, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:1f73f5c61921e6523735e526a28ef78c8666d2cb8cca66f7424190294b24bce8"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:a4f6b50eddecee9258bbe30c16f569ffe2fe9d9298bd5e389c59fb402e206efe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, 1, 6, 3, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8d9b2efe2647ba27f933eb9373abafd343ec12d558de61b0c393c7a045e5a562","rejected":{"artifact_digest":"sha256:a5280df37071bcb999858736782c219a037686187a9d0845943951b02f81cc6c","candidate_id":"sha256:d58e158d28ccc9bf3530ab37af9d16413bf8a9cbcad8ceee3a8541d5678d94bb","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (2, 1, 6, 3, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e2b03f8fa0d1e2bbc38262ddee925ee3bdbdd34322517c1813bb2c52d11795ec"},"sample_id":"sha256:ec3cf59e0a201e831c5824b7e3a3e82340e02a856b3873650aee78530856dce3","source_transition_ids":["sha256:d306539ed14c3bd448cc5a59b8401a341097c737744c7d93cc6aad1423bca945","sha256:cb81ddccea0bc455e311842decd4954610eff01413aac33b8edb9c0c0ba8a5e0"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000382","trajectory_id":"vlr-formal-v2-0000382-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5ab3cbc443e37fe33514feb0dc842210d63019fffd7205f0d0b49f142ae3f7eb","candidate_id":"sha256:89fb4e167c61060eddeee158f1578bcd0d9390b005d897aef190292d0bac3c3c","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (2, 1, 6, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:199eec28dc34df1332f49293111e996a8169b83544675f86f62c556029c9f33e"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:aa96a3d99e76b410bc749bc559602a2d33fae089d8eb5a80c36d5268fc110e9f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, 1, 6, 3, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3981f6e78abf785832276deccfcd71dc70ddddedf75e25131b76e50688353cf0","rejected":{"artifact_digest":"sha256:392fb259bab752519aabdac38c69ad28c997c7afe6ac00976b3ca0ac91c047b5","candidate_id":"sha256:2a9057f5c5d8ac03e872b3d397e9584b8d53723f8b6c80273abb6ce619d88543","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (2, 1, 6, 5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:477e67df47b0cc2b57e7667aca446265be048b5eeef29c90c6325b1e19c8ad57"},"sample_id":"sha256:d9caf9f3835674be21f5e7a7d7596fdd21b77f7463d2e8fca1db4b1165ae3c8e","source_transition_ids":["sha256:cf22933606f5752fe0db7bf551052c677d5afcc984bfd1ee0c2c5ad16c3d8aae","sha256:e24da5ab0a352e17723b8a9440980f7cfe6576c05c05cf2b5f8a950c38ec6d0d"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000382","trajectory_id":"vlr-formal-v2-0000382-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bea3af999dca2e108b1d5747036051ed1ac871a50cf565c85dfc4bc3d97a6cfd","candidate_id":"sha256:ca3735635bafb0e73191f36a82313d23e9d9150cfe08d8e1b5d0da6e36a61bc3","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, 1, 6, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a58b94ad770b201420842527ff9e3d01bac006ae997438b461e681a4e0b9aa1a"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:89fb4e167c61060eddeee158f1578bcd0d9390b005d897aef190292d0bac3c3c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, 1, 6, 5, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f304a8e402be394b081fd569383144af1c5652211fe63a3c33121087c42d1fd5","rejected":{"artifact_digest":"sha256:ae94c11c02844ce1ee9800750c5643093d42b5b1e412df0f029ced1d6befbccb","candidate_id":"sha256:a7734ed318ff1196619251bacc89d0c428504422c40958d38bc75a76052ac760","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (6, 1, 6, 5, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a8cc8aec51b6e8047d73603a719d437c8f8b982b40ab73932fd5a397a3892524"},"sample_id":"sha256:dbc10c267b584a98b64abfd262027d20057a146c61d518c3568f63c4587e18ea","source_transition_ids":["sha256:76daf62af23f90e24aeb18b67ece57ec699508361e43b89acb20448446f867a9","sha256:18fd0c65ed18cd8c709a0c2287e0d986a20798ba3b925a2b03b6792042d2cb34"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000382","trajectory_id":"vlr-formal-v2-0000382-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:338437601ca56e576e2ad406d43744b81e79ce5ab424438ac22bcbb332b6c0ed","candidate_id":"sha256:b8d78a7e32fb4ba790c9a76d081af1e3b64f720f0058672e6629d27ddbb2c3b9","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, 2, 6, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:53ade4eb6422e1003896851ef3d19f174154fbff8f4b59eddb723c1ea6c4a9e5"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:ca3735635bafb0e73191f36a82313d23e9d9150cfe08d8e1b5d0da6e36a61bc3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, 1, 6, 5, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ec555ea26c8753407823286f73b5f43cebaadcbe47e46157b548e5288b08fe6c","rejected":{"artifact_digest":"sha256:7d948cc37b8093500746e1b1372e1af241beefe5580fc0ed1d5fc07a07200c88","candidate_id":"sha256:e161fc78b601736c69823f7e591859ccbcb14a27142ad92f07adf0a2afe46198","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (6, -7, 6, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:46133ee6ed8e5e696ad722260b150e3bc80459ecf6534c420f4a277b236c8474"},"sample_id":"sha256:580e835bffa852aca9d98cad4b0169f727ebec13dbac73fc9b1bc72db863c420","source_transition_ids":["sha256:d066a78dc4c768b4ac7be6697ca31ed00d909bc9a0385990c0e965098d08e8c8","sha256:216e2379e47dcb9ecef3218ba3d933458a9aae0cdc5fabb52eb5f9ed08395113"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000382","trajectory_id":"vlr-formal-v2-0000382-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:242f42de08131041f6a4afca63a353468fffe517f2ba833eee6cbe57fdd56f8c","candidate_id":"sha256:ff33a6697de271911f885b05bc47d263c7d59689a6d8b3b495319d9b7f9ad84e","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, 2, -7, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2856c2ec0bd994a1b70772305e39f7bf981491a476d47e1d8b357926153c5949"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:b8d78a7e32fb4ba790c9a76d081af1e3b64f720f0058672e6629d27ddbb2c3b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, 2, 6, 5, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0d2cdbdcef018ed67a5fd96401878b180098f850bc6c6b491ec07a57a39cce62","rejected":{"artifact_digest":"sha256:cbf619824137159013bd651cca14594d41319908a2d65c2255a846d76fd2f53d","candidate_id":"sha256:60c57c078e9d7667ce31b2ac5a9f61df536747a3ac8e9134cebddfde5e10b9b2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (6, 2, 2, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:70091f8d60af35e9eb5e2560e36bfc62932b080b810273bc37f1715a55b3d011"},"sample_id":"sha256:637dcb7c090469971a4dad36dca457b97c2445e8f38fe818175094f7fe2b12ca","source_transition_ids":["sha256:0d1ead4cddb83516b8cdabf915b31de125715f5d3ee824ee38a77df0257ca7e0","sha256:79181bc7eba0d12f98d05b846ae903f60ce8f0bcda3b98e75e1750aac1e7954e"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000382","trajectory_id":"vlr-formal-v2-0000382-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4ab6ba6953ca956a753a51af311d7cb3c774e1d77494f2cb708e00c7976dfde8","candidate_id":"sha256:d0d6210e821b45832598098a189642fbdc6851e971dd721457de642658d349bd","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (3, 4, 15, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ea03a64c0d8a2c46f690f917d53cbc420aacf0d1e0c46ffe00af10921cd46715"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:20f29a10051af2449790be267ca4bc0470b9117b77798030b6217a31e6139aea","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 13}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 4, 15, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:11c7d610e393103d749bb15316daaef1d10e9b52193479ff95e3c76e46a6f9c5","rejected":{"artifact_digest":"sha256:35caf54dc749abc41cf2b97768259afac91a23cc8bb07fbef7d19170cd185a81","candidate_id":"sha256:93de1afbb3d7905e7b1c76f2bc4364fc04762af393e4bb88f3c6296d386d502d","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (3, 4, 8, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4ff5c2b4c38762c295c9ce14ecd5a3b98b95a54ff58ca33f7f164a9454d8f791"},"sample_id":"sha256:3261f6ca7ab8983cbfec8fb39cedf381c116c56d2120d48ed44f7c5fda5a8038","source_transition_ids":["sha256:9a3a571c36b2d77e3caaf1959cd3cd89fcbdb999adff936792f7d2e978c94897","sha256:d95b5cfa7fdc1eebc835c2c0e9b30feb0cac57fe375594f9dc8bb98806c5d6ae"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000384","trajectory_id":"vlr-formal-v2-0000384-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bdc345a4f9c9516a4638d3c9d329ff3e15d274ca630c4b6be675d5a8ab8b1bae","candidate_id":"sha256:ae0c3e3f7e684194bb65cf4ba1d2d3bba6722b75a8cfb5d36a442f6edb9c3d4d","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (3, 4, 15, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:dc3665574e222fe05b6b65f3ab591f8517238d7f17b02cd62adb731fbb7d59b5"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:d0d6210e821b45832598098a189642fbdc6851e971dd721457de642658d349bd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 13}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 4, 15, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eb8c2de46ec09298d62d5605fcd44a7f9fe4e5c27ffa0658bc067784c2903d70","rejected":{"artifact_digest":"sha256:c20a32c7902557403a4493b928690b3f253cd9e31ceee69c312e0475a3c35817","candidate_id":"sha256:a6cabc89586ffa82b9025af943e8c27ff26eafe8fe49896473835282d06be48c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (3, 4, 15, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:6c221861f1e4b4c015d44279782a5141c8d61692491259c51f88e9c5aaed6fd3"},"sample_id":"sha256:b73314db7580d9f014178d37a1e85be11405046b0c235be489f1fc9d4d28c53a","source_transition_ids":["sha256:fe93099b32f0fa585bf7d9d755bb0f28e630c1ad855b1de8ba23c9f2fb974a60","sha256:39d325c012c6bf46574ff0c7cbd62ff44c8e61eea8ad45f9c39eac52cdb3f19b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000384","trajectory_id":"vlr-formal-v2-0000384-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:146bcd91abece213beb0143ef5c779cc1f36569dbcd49695279580e939f0bdf5","candidate_id":"sha256:376827d45f7ec00c26e1a8838501d1bff669d9eb5d683c521cb4d16eabb486a5","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 5, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a5e3130ec719aa31af3097e7eb54db49f317fe70e46da53b921185393ae94609"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:4ecfe3a49a79dbe892ac9d296a826ed14b5e56abf0b755d6e7c0b50abadf1337","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 6, 6, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:73a2d049056d5d8c969fb14ffea7f2ee00ee744b19b26b6fbcd47d51a2ac5b58","rejected":{"artifact_digest":"sha256:dd814af9e4b44db8c22a225bc83c53b1a84c7f4d2137ee497230ac6099dee082","candidate_id":"sha256:eee6b42efacaee8fa0cea9cbaa9bd11372e23f2af052dc854a7c4e793c8ee0a1","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (3, 6, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8930b4a5490fee10a72ce9a7817adbcc4df88b40a42aee5fb2f79f43ec4320d9"},"sample_id":"sha256:7b2ed7f80a42a1325ed15cdcf7dcfe551b48df73f37d504a59705729ae5e8384","source_transition_ids":["sha256:49d01705d79b7cc5209f03a229dd95264d83c3213fb61e32a65e065205cb90ee","sha256:c118131e9154fd13ecdd6f8db035ab02524541d09bbc57df415a5e930c9b256b"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000385","trajectory_id":"vlr-formal-v2-0000385-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:41031ade5f56d6ff5f88cd1b4f3384770b0d375d664f322f9cc1c10673277cf0","candidate_id":"sha256:580b4abc2cd3b4f4d0efdc596ae77836a9c98164799c3e0d385d41e9d787d571","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 5, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:29d34ca1e22fd005ee696cf6890447c2e00576eb5ec0aaf8d5acccef9368eebb"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:376827d45f7ec00c26e1a8838501d1bff669d9eb5d683c521cb4d16eabb486a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 5, 6, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fb1816b74f97f021cef0eced52896b512728da2db740dd61fd74b780a89237cd","rejected":{"artifact_digest":"sha256:16ae6692ce5080e51cb99f60576b3de35e8ba95f5e1cb9648c62478508f62b99","candidate_id":"sha256:905344a2b96438a64ae6c47819ef31e52b06e99200acddc688d426691251fc5b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 5, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ab250414be14f1da026354c344282caa6d07d7ac46d84d062ff14cf5286d3f5d"},"sample_id":"sha256:2237c5ad7e467547ee9c3ba5aeea9204a2e048d1498fef414988fe1de4e552cf","source_transition_ids":["sha256:fc3e126f1eaa39ace7625d1d91f4955b11b8c9c38a9a3e97ce6b3be2a480e34c","sha256:23293c5703b5bd987a577870f35cb38b35b606fa462a43af2cbd69e23d10b660"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000385","trajectory_id":"vlr-formal-v2-0000385-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9cf1867a36c0fed57c7bc952ef82c62b77218b66bb57fea039667b27e7820d8e","candidate_id":"sha256:19c830f3bb4f8f81fdb8f06b85027ec3183e9c0037b9ace219b4ef19e0d24659","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -8, 6, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f34f7a1360aeb05673a49384775460df7b89706bf7161f4d5abea00410c57952"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:12407231c3798399cf0cb2c06c77b1485f7c66bca21856fa53b98f030349f02e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -8, 6, 2, 0, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:063ff1efb9292778aaf6314760176824ad0d62c44b6bb788cf678a3d091e2f3f","rejected":{"artifact_digest":"sha256:4a59d5a974687656efbd5f279ab92657dbc3572e8101c3cd316f4a6738cd7f06","candidate_id":"sha256:3c5712040aa349115732e6c45fd5563869e286660f4c2c7ddd662a6a2d5f8d74","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, -5, 6, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3b5f95127e38ef95863ca9a1ec79b92e5b27159d301259eeb29dd64d598bdb89"},"sample_id":"sha256:358701bb029d36a5b77253ec71f90ac2d21b3c7f11de5d6b760fc0a6cd54146e","source_transition_ids":["sha256:08b4c2b804b0e4745c36e903246f0355c84c1e8b1bf6753c1545cd21232ab5df","sha256:08ae31ac7fb3efa9c51a510b842ff6f8b688be5f9eb97e19aedef12f0f6f375d"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000386","trajectory_id":"vlr-formal-v2-0000386-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6cf9d5ff83b98ced4d389ade35bff0f2714346f6c4289c5bbdb451349f9d72b5","candidate_id":"sha256:6166c213a3de8cd9e71feae67922856ae27f4a7f671e2a4e62d2ef21030784fb","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -8, -4, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4f277d1a9bb62c7b08274129d8034ad351e4030f023525ae08e0e3e5b8a62346"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:19c830f3bb4f8f81fdb8f06b85027ec3183e9c0037b9ace219b4ef19e0d24659","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -8, 6, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2800fb46855fc79894f1b09e158894bfc5e250eeea5bae8147856de29cf05d19","rejected":{"artifact_digest":"sha256:3f4b323e86c62c01873f4a733cabf6e4c988e29a0704e02a82586526a4827ae7","candidate_id":"sha256:0de48f7faae38fea496fb0c764dc68a1b6bf0bb6984a8f18eea48857543f431b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, -8, 6, 2, 8, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bc2c822a717de91ba8c9dd283f9b898132f78eb6384b86a630086216096a43e7"},"sample_id":"sha256:3e7a3bdb6fcad97fcc56268c9a1f5aef8eb536d27c59eb7c060256a0c7a6643f","source_transition_ids":["sha256:034c83991883b28ff02c13a4760606a747cf85fafbf3980b5abfcce50722fa42","sha256:957e697d0d18a24e5f0787205daadf54fad793bc8b526b9286fba2e670ec161b"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000386","trajectory_id":"vlr-formal-v2-0000386-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0273dfef2e0f46395223483ed326fba90980057c21d4f70c5909570faae890e0","candidate_id":"sha256:c359adc2265c5ed2e1701de32aed11c2150c6feec2ac374531a7b25abe191f5a","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (6, -8, -4, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:db30dbcd91cb95a279fcc966f34abf0c1beb32ecc8650db3e327797173b86045"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:6166c213a3de8cd9e71feae67922856ae27f4a7f671e2a4e62d2ef21030784fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -8, -4, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2725fe0ee48b3e1858e58ab0009f8e148294d55879616231fd68cc7f66b60f88","rejected":{"artifact_digest":"sha256:c3230f61168670976388168f8582199e617d1e47445e4db78399169a825dbe60","candidate_id":"sha256:38d33f99d0d278ba91a786f977d57e4d7ef0fdbec60be4d9a1bfd9178ad211f2","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, 1, -4, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0ebedc3907392b9aa5f3c3b2c4bc94706ae865d656285fbfd90b1b4a250462ff"},"sample_id":"sha256:41ccf2f40e89c1f2d62b01f3ed73b7e12497e06595e3e6df3be6cc6ca900bf54","source_transition_ids":["sha256:b345a27bdad6434d4c43cb0f4decabe451cf79968e3d2106d4eb9b03df7e5827","sha256:f64fb108c97264f7866b85e067439241bf98bc388161efbcaaa3d9591ff356cf"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000386","trajectory_id":"vlr-formal-v2-0000386-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dc8eb8a3646676d738e1064d5b3e26d162aa445322cda260b111093790f28d9b","candidate_id":"sha256:7fa7c181e381d3ca574297b0c9f2778bb0c78581b4a580b22d82a2af21151843","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 6, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:64706e0884899eb5b6bbc9d53d2847bf9dbb9da1a2b3c5617a7192cadfed6fc5"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:63d4253b95969905d5cda8ba89e2706a9d884d42dcfd6da95ba4d63b30223606","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -8}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 6, 0, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b55222a9747127f82dd4e365e97ea42cb2ef8cfce12e26a61e25f66dede5443f","rejected":{"artifact_digest":"sha256:9e2f61915b5392590f26de362a6dbc2e09bc925499c259f803eb0058fc2665fc","candidate_id":"sha256:64bcef21fac2600a80c9c17c4d216423b1396b79f742cc509d86da901605b1a3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    table = (2, 6, 4, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:43f675ca511c6373b833668f3700eefdd3de6e992270f456b520fcf43d777aff"},"sample_id":"sha256:4d1a95e0abd0e7fca322dc9bb1d01166fc61fb3264fcda016081b80be1a05ad2","source_transition_ids":["sha256:3b4f83bab74bddc03d67e3a6735b420b3610a766174bde1f61d72cd157ab150f","sha256:3dbe7b71f2b83537438bb655725df59bcafe91417d16c93cb60dd59640bf55f7"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000387","trajectory_id":"vlr-formal-v2-0000387-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b8990270952bcc1f42eb6e4fab28e3ef4785bb67ffa55a9f6e9d2bb13db03a46","candidate_id":"sha256:fec1218c7474267f0a326da7baf47a9dbaed70a0ad900d84ae676bbc2a657fad","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, -5, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1272e1656d567affd72365dfaa1f9597efe3b82d2090a243e6a978beab9fc807"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:7fa7c181e381d3ca574297b0c9f2778bb0c78581b4a580b22d82a2af21151843","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -8}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 6, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8ae752c272aa972c8bb73f13de718bf6c85b4885bcda73bb26415f44b6e7f746","rejected":{"artifact_digest":"sha256:2817c2aab1df935dc8cc1bb8917ba4208ecbde618578bc60845d23c716b6feb7","candidate_id":"sha256:44c933098d9c5c7d598a1faf38749ad41876412a5f5703573cd5f05b571df4f1","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    table = (2, -5, 1, -7, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:93a9063bc7af791f10d61fa90b93cfb40e09e4a5539a433b689096fccd126542"},"sample_id":"sha256:ad63ed3b02a2384620b2bdbb71bc71ba97ea6555c597bc48870ac59d2dfacd91","source_transition_ids":["sha256:dbfe2532b19f10bacb72a1f0ff09468c10ca8018318dff955cdc2193d776b0dd","sha256:5b982d330fae1612228de1d3771b2ddd3f0ae52945aa952e6b9031e60730abde"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000387","trajectory_id":"vlr-formal-v2-0000387-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:67c20a233815de67d86b1d7a58e3d340640072700eef068deb737f6d9975d5ab","candidate_id":"sha256:e6ee5966b205aba2b65ea5d6c61dab211990ed5e02f58b892362beaaa4341f35","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, -5, 5, -7, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:af50f5699d21f48df259547ad133bc828fca3f6cad6142ee35e08a6a9b798bfd"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:fec1218c7474267f0a326da7baf47a9dbaed70a0ad900d84ae676bbc2a657fad","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -8}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -5, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:26413ce087ce6f23e1d401b94015021e4f66bae42c3ce282ca5498530a2ca1b0","rejected":{"artifact_digest":"sha256:890c77edf35416b286ba0d4d2b50024ebd5914f37e1bdc1852be6d671dbb77c9","candidate_id":"sha256:93d5392bfb0dc9ad3996027b7b8d158f4a167c3266267625e6f889006e253a47","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (2, -4, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a8991739759e07f97a9f639ad4afc3284b48c2521851556106166548b0ea9c05"},"sample_id":"sha256:cbf1e901ef8f04e317440e8eeead243e3eb40a1788dda0a8fcff082ac0a06b77","source_transition_ids":["sha256:67783d1b524484ba574920b966925fe44fb642d56c4d95c96c921b164a440f60","sha256:334c3d77e12115a42edddc9889d1c651757e5a6c24aaf557819b11dcec78b337"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000387","trajectory_id":"vlr-formal-v2-0000387-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1fee01ce007cb4decd7666b1383a6602b8fe07f6207a5b9c41255aa622a321c2","candidate_id":"sha256:f8d8507529ecfc7fb6db7a4af0ca8fd5258b9232c3319aa3242d48f1ce743376","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, -5, 5, -7, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2090bcc9f32dcc7785791392db656fe64cc1f4b04f29766f2315e995b77c7889"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:e6ee5966b205aba2b65ea5d6c61dab211990ed5e02f58b892362beaaa4341f35","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -8}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -5, 5, -7, 2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7e0db43ab2a8c865a5f5221f814e5b9bb0222ade0145bdd5414bb0ef1335c939","rejected":{"artifact_digest":"sha256:3ca1cdb1e5aece92ce1239a3d2b6902841b2701a8465037012d28e017cc7d85e","candidate_id":"sha256:1d49427bdb71fac028933a2530be3973facc7b54001711ecf38f3e36a2e6c5be","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-8, -5, -2, -7, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0ef6edda3abf4e94c05dcf6172b646a48611739453f25d479e3068cd0ccf69a5"},"sample_id":"sha256:c26f035c2d1409db3c8f8427407dc4a871dfda324b35ae44a22ca1aeb4bebff6","source_transition_ids":["sha256:afed75fbe206727a54576a75aef1a8b242e927f375ff2c98ec21f048c14f1198","sha256:70b035bbbfab2766d14764952603a48fc7a25c574b2d34c884547b2b450952ed"],"split":"train","step_index":3,"task_id":"vlr-formal-v2-0000387","trajectory_id":"vlr-formal-v2-0000387-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:eab2e859ada271ac8b20d1bf4c551df6feccc9c3f7573d42462d8c4af42a0da6","candidate_id":"sha256:77b9f0f6329d3d5bd1c6fb9533085ca619f78cf4ad7e02d52d34e1bac45fb2b3","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, -5, 5, -6, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f184fde3b03d34d72d1c1f298b33a5b44e76ef8912d9884d51c749355598d40f"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:f8d8507529ecfc7fb6db7a4af0ca8fd5258b9232c3319aa3242d48f1ce743376","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -8}, {\"input\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, -5, 5, -7, 2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a668854334a93950e13cb77e8cb1afabe2b75c6b0c87a8a93bb1c95eb9be7ed7","rejected":{"artifact_digest":"sha256:83723acc8a46541be2cfc7798fc52d7fceed485d22be516e334ab1ea3941ccb0","candidate_id":"sha256:f2dd12022259b5cb6f1a76e39d2ded45d36a51376c3a469fc94b588aaecc34fb","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-8, -5, 5, -7, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:35d2bcaea61c562fafa527a6fd91e3383591747d4d40a3d138422a9f72bdae77"},"sample_id":"sha256:2d5c0b35603b05a077766b16075b64b80f88635c632a9036ce3e66f0fa236f90","source_transition_ids":["sha256:fd57f874ce22de6c45456cd8d420e453e5fee12b6e701ae415f8d8e3fcfc10dd","sha256:14864cec2f908c8fa9cf90839a09d6cfdbfed8ead2e7f98c6d731d9df63954ed"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000387","trajectory_id":"vlr-formal-v2-0000387-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:83b4863439fd82a6440fa6842f87517a15982c502b00001fd519dd7807343aac","candidate_id":"sha256:06c85aebf9c3bc7dcd3ae05f239af2866e6b56f4f5f81d37e870e4613e9faa39","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-4, -5, 8, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:7a3b283cd02589348c68716cb870b35d940d087d60aeabc7a709f1dfda537e33"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:5ac475697dfcb48c0d44bcdd3ca45fe92cd81346099a3e288aa80cebf1037bf2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -31}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -5, 8, 9)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:02f4c0c3d6eda21d345958be253ba201231a86569de0247428c883d26ab621a2","rejected":{"artifact_digest":"sha256:03f96c4ce0343754d5ad3c2d402f37a545110470c68f98907ba452308a6a7f33","candidate_id":"sha256:62964314eea01b72b3bfcc6fce13b299a9019e3ba27fd1a3825888f6af0a13f6","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-4, 8, 1, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:16cabaa3eec8a97e41c231f12f6fea1f29377760e05b0df26e0415adbedae48a"},"sample_id":"sha256:86c18e5caa7b0167c125665e451cdecc4407b4373306bfda7bcf2a942ce3e05c","source_transition_ids":["sha256:ba557b7b5818d31a42e3836e712f5a54c63af9a5f9b091777434bf87c24ccc97","sha256:4ead3552d9c6aebd16052abd80fb5fe61fe0c5e3210fd989e885afae2c93265f"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000390","trajectory_id":"vlr-formal-v2-0000390-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:facb014889138c26375b1ed46b5e2a29f989aad5a20e1f2303ae2792cfbef5f4","candidate_id":"sha256:655dc6bd7a1041c392c0fcb6d0387247094c0b2f6a4401c37a89cd272e9c2fa8","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-4, -5, 1, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:15fc245ccfe8d38da9f85d4ffd2f10332060978f71e93779244da98e838311e2"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:06c85aebf9c3bc7dcd3ae05f239af2866e6b56f4f5f81d37e870e4613e9faa39","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -31}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -5, 8, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bd3c2ff23ca964fa9086d378fa3bdafc6f61f05b77080d6446e0d8660fdc1d4e","rejected":{"artifact_digest":"sha256:7129fa31236e50da513aac5722e8b08480246546bc3bc3b2c4fcda404c5062e6","candidate_id":"sha256:16f4bd217afeb6669b4faeff3d54c01393059b49c38ad3aa50559bd6aa5691cb","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-4, 1, 8, -7)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:8b03a83a969393d751ba6d58e370ff2639eb7564518954747a567d7ba1d15b11"},"sample_id":"sha256:8479eebebe073421f08ab83fd936276aeca75cc75088ee53df15001e0655d8b0","source_transition_ids":["sha256:9a404de376b9f80fd16ffff12c63b44a3d970678414dd098827c16f8ef59f131","sha256:0939f02ec2561bfdbbbe21246f9bf3481d8168ca290d51ed857a7cf7b2faf701"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000390","trajectory_id":"vlr-formal-v2-0000390-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b6b71fcae0b481b9bf0cd4b9cc2a81d5b6ff98e3664e75cedbe12f377fd6211b","candidate_id":"sha256:28717eab6b272ade6c62169031e30b575145a444f5a5b262f08cfd3ceb351bf7","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 1, -4, 3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3a5a5507a0622ff9fae7059aa40fa2609efd0c68c90063721c010ec73059aa03"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:1d78c99735fe89dbe29d6f1fdbc8dc6e77218ce6cc50956ce7847340c7b31a2a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -7, -4, 3, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0126eabd9d3bdb0446e97f1890aa3bf08b8f2f33990ed573b22305bab25be379","rejected":{"artifact_digest":"sha256:20771f9bbb2432dfa5254401e90548fbbf7dcb3bd51cdc63a910fcf76f37e6b8","candidate_id":"sha256:c6171f46dd9e3ad76422432be61d3e34ec3ee6f9b45294cbb86901c4e00daf3a","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-8, 1, -4, 3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:be59e323454ac74445ae749418f20951f416440842644851093fd7e3407e7415"},"sample_id":"sha256:b5b4f71aedbed8305dc699aa4d6fcf0fabd175d5d757531d7a258ca9f7310663","source_transition_ids":["sha256:b088fc4f407782364cb0c0d93dcd477c66c2474aaa7cd9691b9abb39329cd5e2","sha256:3787b7cdc68864d259fe6753538232833fb2c40ce50719153959ef292ba058ed"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000391","trajectory_id":"vlr-formal-v2-0000391-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3fbf5f47d3c609b0a8b6891e5af3845bc7f11146a9567c28f7953ac79de94cc0","candidate_id":"sha256:86e39a1f8d5ec1375cd4861924573415e09a07d2ba23491fcbcbc12402562d1e","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 1, -4, -7, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:89c5e27442addcae89a849bdfe8d208f3b3448347a701e81397273c4c14df197"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:28717eab6b272ade6c62169031e30b575145a444f5a5b262f08cfd3ceb351bf7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 1, -4, 3, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:64c7a7952a23b0663a5a5ca2699a485390420f25dc9793d5cdb208cf4d0b2a3c","rejected":{"artifact_digest":"sha256:c036550b90819f694673ca5d3d7198a2f777b4bce471075decaada59c2d468d2","candidate_id":"sha256:15776dda29f6089c31b76c9e02815fa176eb094fa1eb9886991cf171994897d3","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-1, 1, -4, -8, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3e76fb1aeaf9631c4bcbf144a7f7caf507edb913de42318ac894238178671db5"},"sample_id":"sha256:f8d4dcbc64ca8047d33ce7e3124c9403b57a9fd424c261ff3d7d78b1de0f1eab","source_transition_ids":["sha256:8246c894f4abec60b113d35fb4f209636810cf614ac04b6da8686effa4e1375c","sha256:8afd09bc3cebcc967946782fa1a7cd6126a6296b8b91c4445f6a1e5ef482d61f"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000391","trajectory_id":"vlr-formal-v2-0000391-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3869a950e2dd8f9ce13ec2557c045b0310cc65133aee68e9bc202baaaaabd437","candidate_id":"sha256:8101e087c45bb5b519daa6ad8e6ed36c9bcb9c6d81c553e49a9aef821302bd11","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -6, 4, 0, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:94cb266e16e7e43bf95c7229b4297b8d3b84f4e3bc4a1663aa618a3efad521da"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:a5abc3b9bd8818d2fa166f3d1d9b4b0bbd96584e68166e5371a3cd4975278474","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -6, 4, 3, -4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8bee64f49640e57985043f0dfb2f64432cd2b4577091029f104b9ac1a2a7d58e","rejected":{"artifact_digest":"sha256:b8c299cb93800a247a49c60337af8556a9bf6d218107fc5842722b651acc8eb3","candidate_id":"sha256:9dae1c5f093f9e35f9f38f0e4b52d17767c08271a2ae5e002b529bd8641fdb62","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-6, -6, 4, 7, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8ac055948f0af24d4748ef0212d62e68ccf8cb077c39ca5051d074e607af78ab"},"sample_id":"sha256:07067d63d5fb02125373c11b7be51e91c58e5a19bf6c6785c0cc782205737c1f","source_transition_ids":["sha256:599e12766adf38f0cb434aaeb9ab28b7a65bbf67fbb3eee1a9b67d9945698bfe","sha256:5e74f4e739ccbff7381b2219ee7ce9b2e959f2073f1c881d6ba673169a9a9344"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000392","trajectory_id":"vlr-formal-v2-0000392-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:771854a01718359a668fd9b4661c96f4c7b5694dda6def97e67ab992a12ac919","candidate_id":"sha256:d3a2bd4268b161228f2b3b844f1586435243598b750d3b18061772c0cc2215bf","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, 4, 0, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5fb1ec34399ebb2af51678a99376bcc725853e12355806af9315d4157d8b34ac"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:8101e087c45bb5b519daa6ad8e6ed36c9bcb9c6d81c553e49a9aef821302bd11","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -6, 4, 0, -4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b67af5e9d17adc5c78289382232fecf6a65b285aa0ea1e401a3fd468b78a330d","rejected":{"artifact_digest":"sha256:532a4e53b305fbba12e0231891a26a91e9b1951e09f035996a286cb7796df102","candidate_id":"sha256:ebd33b55c2e4f7f10c23660595aff03cf59f108f175d2dc9a55efcdaba4c3659","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-7, -6, 4, 0, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:290a54b0bbd831be7d448c3c92ffb4fd09353b0088fe74411b20b0de381421d8"},"sample_id":"sha256:fdfe5913b076512026c28914094682dabf6df1b6272811990d81c93894efabc2","source_transition_ids":["sha256:4f95b4b0264e6b33fff118a9f55695b62134094bea7cee676f7ea067e3b4ba2a","sha256:2302df9543c2979c71da04716b394c5f56de948eb5cf14d015e25461a45239ac"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000392","trajectory_id":"vlr-formal-v2-0000392-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"accepted":{"artifact_digest":"sha256:77ad6366dcf0e2c1251c04e0528815dee05910865a3fb99a0ddbfb98bda5285f","candidate_id":"sha256:1f9887587863ba4376df0977192c1a1047d9e0faa00a5b620f2028656da5eb75","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 2, 2, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:12c9bb4a0944f10fc50fd1d4d061d092874eeea6d7adf1dc59398c3c12999c49"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:2301b3b5f1d8900ee1ebc59430c191dbc93eb83af2dc3688c1ff84e9e850f7d3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 2, 5, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=13\nfailed_count=2\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a902bfdf7c0cc51998fb5f69aa1f7460e9102df8838691166d9e450b6b6c3c68","rejected":{"artifact_digest":"sha256:477c566fdcb042d0386eb45feed8781cf2a96ab83e9b608d39e794c291ccc1a0","candidate_id":"sha256:0ea84d910e6067b76a53a38a794969e1610b0dba2e36fa7a09238f34a6ae12ed","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":5,"phi_gain":-3,"phi_incumbent":2,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (5, 2, 2, 5, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8749eb35c20338fe8e08bc06a15544ccf2e9f6eff75fd057653665e6793e448a"},"sample_id":"sha256:d600012f709cd96ebe2ddd9b426075a0600beab856926f7f82ff556cf96512d3","source_transition_ids":["sha256:da3de78339901cb53047e2e77b7b8cee94baae0f2ac39f51d96ac82d8efd6c65","sha256:3b08a1fadf103ffe67050b29d1d5bbf43c0a32ae2e5b54b7def708c6cc2846f5"],"split":"train","step_index":4,"task_id":"vlr-formal-v2-0000393","trajectory_id":"vlr-formal-v2-0000393-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3e26fe217a1202a7d017461c5d22918cf07a06743dee0dc59003c5e9a50c26a4","candidate_id":"sha256:f105ed33543f961eeae3f8796d9d25d1125e54d4e382c690afdc26dcb754e435","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f4d1388d19676b9ccb52b105d785a584c9024de020a1aa53a9497a0086950f47"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:958d2ded971ca982bcf6f89a1689627cd0e9799fd0a90a6b82adc8527b4fd51e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 6, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:41f6ec10149b1d52249f9b92749d0a64da810a02f1e1ecb3f3c0d5c608eee33f","rejected":{"artifact_digest":"sha256:25c6b272514aa1fe78496e49f86fd9c83ee8a0fceb7038122eb7e2f53e23bd62","candidate_id":"sha256:00ecf8478b800df09f1fac583a1c2d3115724ea452ac2a6fadb06eb42dc227c9","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (6, 2, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:7b67a5f7a69fed11d5ec07628a5e92421640fa9c6a808f4e578cb6060b5a0037"},"sample_id":"sha256:ef75c54317a52bd102934cbbbc780d9af9eb781584542eabe71aec9a502f3b4b","source_transition_ids":["sha256:b34d126cec2b720a3d2d1ef9217029032a4388a9e04260e0ec235386da50734c","sha256:56ff8632c2eda13a26751c608452fa2af8080ea6ef92c8ab5b26a91aacff13cb"],"split":"train","step_index":0,"task_id":"vlr-formal-v2-0000395","trajectory_id":"vlr-formal-v2-0000395-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:500029921a20fe08a5fe046be8c8baafaf589b14b4c33390bf58a2899dee6969","candidate_id":"sha256:8eca19b9fb7d7bcf83c3b18843e4077cdd87179f21dc63b58b5df758b7d51a84","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 2, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:504d9d91405430f2340a4dd2aba53ade9bbe571f0f2968d370f04198064da9f4"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:f105ed33543f961eeae3f8796d9d25d1125e54d4e382c690afdc26dcb754e435","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:54733e3f7cfdd7e0ccd237f32d101c7dfe6c57cfbb2f648b0b2dfc6a158ae985","rejected":{"artifact_digest":"sha256:e3d547343d995a5854c387736427d1c4e4f132636a5d92d19f03dd0497035e8f","candidate_id":"sha256:50fbaa8999714d3a511f419ebff885c04dff4ab01d652348c50ac6facaae4277","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (6, 4, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e8d2b9019874fc4718c1cf0994fa4c6cc586fd421318867d5bb20b3376d6b909"},"sample_id":"sha256:b5ddfd92a869e305b6c918e94fe6fa43dde6dbb4b8e80a72d23042ef326e1a84","source_transition_ids":["sha256:626856090000da6ceeff1f0e007b4031dd387417cde530c5487069dcc77ea169","sha256:c31839eaefb5bf3547423cc0841865cc38b453a309ef5d9eb75d52f9150da0a8"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000395","trajectory_id":"vlr-formal-v2-0000395-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ab5e67be1b6bc2ba17664b43e16423e107438e73f07b5832db50a94a23ba8b9b","candidate_id":"sha256:ef781e97c4f5b5f63287722619e4c2f5e6bd0e08868af46c0216534a59ce65aa","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, 8, -3, -4, 2, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:244ec6a2f4b1960c377440c8cab4524acd63e057a92fd1fe02f7315e19d1d6cc"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:aa15d7f8aa0945240ab1135b2067f524c233bce417447c966c402df17374cac5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"accepted":{"artifact_digest":"sha256:bb8820677baf0f315a3616483560f4a52b5ebae84939ab34fe6ea4e391a4b13b","candidate_id":"sha256:2ef43cf8312d3067ace53007d4997fa0da96a9c1ac89aa155848fb47d5ac3b3c","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, 8, -3, 4, 2, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:48829d12d3c647bb46fc4dc30fed86560167ce46d8891059a8cbae995a3a2799"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:ef781e97c4f5b5f63287722619e4c2f5e6bd0e08868af46c0216534a59ce65aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 8, -3, -4, 2, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e38fc7f953faa9ec48d20d83e18afcd8caa76b71b8aeb2b33d06d98de3cb6217","rejected":{"artifact_digest":"sha256:dbc3173a1043dce7a464b76885d332114d82618969a74652bb0a18ea7cbeb902","candidate_id":"sha256:20741588a02910500112093d8fa63d90bda2eea1dbb045ad87d09f277374e186","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-4, 8, -3, 4, 2, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:275a8feda04bcd0b29ad405adf9a0ad6890ca1b93f44e7bec1395150e8bc26c3"},"sample_id":"sha256:f854bf22fd99c96801c4dc32198e6945845ff913ff117de7e37992e1f8f17a8f","source_transition_ids":["sha256:5eb33a31c3191ff40ac6f5666e398d1ed5e86b758bd650b5b2e3030b7ead278d","sha256:a3943b58d813063104ef4a7f0c5a9b2cb4fbe7a252107262ebc77b7905bd7b0a"],"split":"train","step_index":1,"task_id":"vlr-formal-v2-0000396","trajectory_id":"vlr-formal-v2-0000396-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:66755d81646f19916a129c6d429e1156ced2f9478296f47861ef006171993f69","candidate_id":"sha256:48474b7f1c02d0ea9ad7a6b6877d29e257ff02c8318f2827efd877f51e513bf4","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, 8, 5, 4, 2, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f61a710211878aae19e4f86ad350e1ab14dea40b3af18598f4d798252f2a3349"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:2ef43cf8312d3067ace53007d4997fa0da96a9c1ac89aa155848fb47d5ac3b3c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 8, -3, 4, 2, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:878d9a6e1401fa29031180e257c933f84c7fb19cb1b79fd7ce9a8e0990731441","rejected":{"artifact_digest":"sha256:8ad23c4fa24cbd98587b44203b1db38b83482a95c4cb7c5da974962312c4cb3e","candidate_id":"sha256:3db4133e880310ff1e03fd9391e523ad85adf042f785007e20d0a1ab3b9f3680","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (8, 8, -4, 4, 2, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4d9b55d0d20cb91dad9cabef69aaa44e1754df6199b3125861b9f836ec9db2b1"},"sample_id":"sha256:62f1371c8b235c7aeffd741c38da7b9e463427d11b14b6464e1ff0213b0b13f0","source_transition_ids":["sha256:dc29757d95a366dc3629bb6112c7703175c4f97668d7db0768f2e9626fbd2eaf","sha256:2c848f69839e2ba5d81a082ab7388971663395e58997c4c5b8115a698a8bd34e"],"split":"train","step_index":2,"task_id":"vlr-formal-v2-0000396","trajectory_id":"vlr-formal-v2-0000396-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}