{"chosen":{"artifact_digest":"sha256:87e8f5da5f5e042da61c448a8397da7a0810a7bff6885633356f182787653a6a","candidate_id":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","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 = (2, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a0a4f329a00e4ae815982da4c5225526f66c326bc4101a46e2c007df495e04a2"},"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:f9e1c75a3dded546ca9e300007597d37ce0f7a30245110e392a2b4c901cb129c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, -9, -5, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5969701f2c18756085fd800b93b645d7a3a75b9e5e7058fe534c383f3a0ecb55","rejected":{"artifact_digest":"sha256:4fb6b9d808ab50fb95cf89410f938848c915714dd5c7400b09fb1ab1a25506da","candidate_id":"sha256:8761d8bdd07e6f583bc0f571de287d1ebd4fc4e4486b12ea3c94a904ccf2936b","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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (2, -7, 1, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8d0fc53f2551576705ec3c5f060ac910c503f0dfa6a25cb4653cf28ddaa87dd8"},"sample_id":"sha256:8eeecfe8cf7ad2efe3b4f47b6158e1bc0db21f718caa5faad4d341bd4e6897ce","source_transition_ids":["sha256:4daaec1d1ce639b9916ed649fea02cd01de6f37228fa78d547209223c9dac5e4","sha256:b9a13d06d099dda8f99154757a375a0d74c3bed03847aeb3b411e991fab10bcb"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:87e8f5da5f5e042da61c448a8397da7a0810a7bff6885633356f182787653a6a","candidate_id":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","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 = (2, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a0a4f329a00e4ae815982da4c5225526f66c326bc4101a46e2c007df495e04a2"},"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:f9e1c75a3dded546ca9e300007597d37ce0f7a30245110e392a2b4c901cb129c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, -9, -5, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:535adf3a26ecb50ad888cf796c71807533fed70d391ad23a12f06a20bf4743b0","rejected":{"artifact_digest":"sha256:435908849c3faf9ebd65aefb92774e960c726e8aa44ff7cf4ae47d696ffab88e","candidate_id":"sha256:d839929fdac433d3c50765709bd8b891d863a953b99126ccf6df4a7a98e15f72","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 = (2, -7, -9, -5, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0a88a5c22c1ce843b4f90e1e3d709e19acd3d053e0b1135220da3746424a8fba"},"sample_id":"sha256:4cb47b70aafc21f88065e9d9723f0c203235337c3cb5cfb565b8cde4193c9992","source_transition_ids":["sha256:4daaec1d1ce639b9916ed649fea02cd01de6f37228fa78d547209223c9dac5e4","sha256:a926293665084db3548cf6b727374816e69acb8148e05d7efbc216fa0aec55fd"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:87e8f5da5f5e042da61c448a8397da7a0810a7bff6885633356f182787653a6a","candidate_id":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","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 = (2, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a0a4f329a00e4ae815982da4c5225526f66c326bc4101a46e2c007df495e04a2"},"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:f9e1c75a3dded546ca9e300007597d37ce0f7a30245110e392a2b4c901cb129c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, -9, -5, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fb1e7dfc596964c22038844bd8ba596a51a934d76fdb003173da45dc9cafffaf","rejected":{"artifact_digest":"sha256:ba9ce0b4942316d3087f7c2f8ff927bb6a2ec341241f5756cd9d37e6220c3b8a","candidate_id":"sha256:40a83762ad701cafe3040ca4690d6f1002e3b40ea8b65fb2a5f432c8258c21ed","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 = (2, -7, 2, -5, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0026cc366a42c88bd1b5cd6a7d11121817a010428eb642de044e68fae6e67a52"},"sample_id":"sha256:862d7bfdf37d74582573a2ee34806b1443f38b3569d27f03646d6604061646ac","source_transition_ids":["sha256:4daaec1d1ce639b9916ed649fea02cd01de6f37228fa78d547209223c9dac5e4","sha256:278326b490158e59743de7d5bb73c66dcdb4635282d9dda650461294c41ef98d"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:87e8f5da5f5e042da61c448a8397da7a0810a7bff6885633356f182787653a6a","candidate_id":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","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 = (2, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a0a4f329a00e4ae815982da4c5225526f66c326bc4101a46e2c007df495e04a2"},"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:f9e1c75a3dded546ca9e300007597d37ce0f7a30245110e392a2b4c901cb129c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, -9, -5, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9a0e1d19ef1849aa4d678da76d508f2167220c2ed09a753b109a9063c1b897c1","rejected":{"artifact_digest":"sha256:03f7174ba6d55d78872f3820888a026790a1886662a92905f8f482a9992efa61","candidate_id":"sha256:d2ab7d66d666dc34cf06e562de45d5633144f1e77c8c60fd6ae793a302a37209","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 = (-2, -7, 2, -5, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5382c4d45919254dedd5d4df8a4be3774decb29075e594c11638e4f95f84e4a3"},"sample_id":"sha256:14e03ed813a5436eb75b5d57af8ac3cdf98fda996b0764297f23b17d593842ba","source_transition_ids":["sha256:4daaec1d1ce639b9916ed649fea02cd01de6f37228fa78d547209223c9dac5e4","sha256:a92cae2850892a9668df1c01826e0466dcdf462cc73be243e4d6aed0459587dc"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d65adb305e1faaba9ce83e0a2e239ec2a30245b5ac67d89545c6f2ad5aabd1c9","candidate_id":"sha256:0542c1a200d9d12fede50ece0a5c149ff9ddfc5552c135f8dd23f4f71ab7c2e8","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, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b7ec11a2a7771153380cbdc1f5e3ffe139306d0c68b461ed8fc54d485ee2e270"},"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":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, 2, -5, 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_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2861b2ad0b2763ee4eb207f0fad3e7feeda0a7476e9d7e4f59e5c15ca61a18e1","rejected":{"artifact_digest":"sha256:053467347f9e8e205adf532473a5e06609ca855afc3c931f0fb2f4ac21b804f1","candidate_id":"sha256:67ed00d84692d11f5a25cb97b8f49e39ff8c0b7c565c02f1a97036cfbae16891","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"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, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:bea1d213ecbb6504ef3a78f7369eceb4e682805bccbf254e50e95f5d891a4193"},"sample_id":"sha256:68667e0c1352509002ed346e3d79dd845eedce2e602aa858575b3ea224437932","source_transition_ids":["sha256:cbcbe6079917032a1d6d2c9b0829890d2e093577961ad19088e9dce726bd0124","sha256:20c13584487426800913d673bb2a60053acf0a1a2937e7c5f48f5d5d9818f7d0"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d65adb305e1faaba9ce83e0a2e239ec2a30245b5ac67d89545c6f2ad5aabd1c9","candidate_id":"sha256:0542c1a200d9d12fede50ece0a5c149ff9ddfc5552c135f8dd23f4f71ab7c2e8","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, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b7ec11a2a7771153380cbdc1f5e3ffe139306d0c68b461ed8fc54d485ee2e270"},"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":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, 2, -5, 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_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9826d032a695f6d3e11bcb189118e187fcdace7501cfe6e124b0a3761b36d708","rejected":{"artifact_digest":"sha256:99abb483e6e2116d9a68096c42af8996bd93f10468bb725da1744c78b78762e3","candidate_id":"sha256:7b48dbc828c5c562bb0479dc164b8d0e0657013e9c1eb9e29d4c35f07893ee12","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 = (2, -7, -1, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7a5ba24f527290a6cbbd7c3649f54a85e93a236dca57a0d2e9e7f9a268db40a7"},"sample_id":"sha256:7bbede77e6bd29915a21cd7ee41f81a5e5eda456051943a14d7f716146fa4438","source_transition_ids":["sha256:cbcbe6079917032a1d6d2c9b0829890d2e093577961ad19088e9dce726bd0124","sha256:40d9494eeb950545b7a6d0f1680d67be834252d7db11b6756c6aba4718c079ba"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d65adb305e1faaba9ce83e0a2e239ec2a30245b5ac67d89545c6f2ad5aabd1c9","candidate_id":"sha256:0542c1a200d9d12fede50ece0a5c149ff9ddfc5552c135f8dd23f4f71ab7c2e8","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, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b7ec11a2a7771153380cbdc1f5e3ffe139306d0c68b461ed8fc54d485ee2e270"},"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":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, 2, -5, 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_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f27a8f0ce8785face47ced67315ea4954f6fb8687adb2739f2c783ab5326bd02","rejected":{"artifact_digest":"sha256:b432e5e765e42ef910fa640011f912502b09693461c1526ced51365f9ef9d87f","candidate_id":"sha256:87b2d240c8189c7c48f6c40b8f5f1dde6c7cd8c332004f5a5aa1e49295929c31","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"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 = (-2, -7, -6, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:9871cd5d45de13215edbc8699d3fd47eb4da4b06acb54d9d957770f9811b6ca3"},"sample_id":"sha256:a5e8211447b2fcbe6decdf244b37a12286322286f930b0d6358dc7a0f82fdfdf","source_transition_ids":["sha256:cbcbe6079917032a1d6d2c9b0829890d2e093577961ad19088e9dce726bd0124","sha256:d626ca0529fc1a6fd6c15520d701f33e1c4564970cc4033286e8d73079b0affe"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3bb08b9f9fa5897448b7af327ac41f2ecced63c6bda482debde1509602fd01a1","candidate_id":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","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 = (10, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f04eb8ab4ddec095abb5855c90c7116040abfab8b6765893021f67c888963a9"},"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:af0176fe875836d5069798fd804ae6255f1b321984d4b306f72b5dd8a4f2487f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 7, 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:d1b2a95cc4aae79831c8743b5740fe20723811631517c49fe5533dffbd0ab997","rejected":{"artifact_digest":"sha256:b2daedc08571c77c55c3895e5b5ae951bc043ac220a88866a8dd910d8b3e5583","candidate_id":"sha256:9d547daa00d041fdf111a31492c7c2d8cba18d4e89f3e4719d01f451d9a5e67f","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 = (10, 4, 3, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e7e7655a577ed873a971698d3366d812953e8ee7f067df4a14a93ee038a7527f"},"sample_id":"sha256:936937a62f853ecf6c2832c20e7a802ab8b5d592cd0c6a5aae8b9c3b00e92fd0","source_transition_ids":["sha256:590264df8e5b56b8bd2174935043d2d1c4908d24b0bbc2c2ccf503008d866a6e","sha256:03f3d24aa02ad1966c9a7b40a72f536c6cc1eacecc343cf102b4d52c7ba77231"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3bb08b9f9fa5897448b7af327ac41f2ecced63c6bda482debde1509602fd01a1","candidate_id":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","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 = (10, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f04eb8ab4ddec095abb5855c90c7116040abfab8b6765893021f67c888963a9"},"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:af0176fe875836d5069798fd804ae6255f1b321984d4b306f72b5dd8a4f2487f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 7, 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":"sha256:476d3a4fdda8c3d020db5d69fc5056ac1c87a2fdc9e5ab4e97f32b92320e604b","rejected":{"artifact_digest":"sha256:4677664c672f905a5659cfff13e1670852d68eb7ac1be6b7c4ff626621263177","candidate_id":"sha256:a68487aa807c2372be793c68f4dbec9ca98c68ae05191c9861f4e287862e7829","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, 3, 7, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:86d5557bea5d8d3ce440742cf6595a3911a53e5df6f116ac39da3dd74508e6ec"},"sample_id":"sha256:14a3ddfcfc2f07ff429f66e14e655efcac2b0ff2a550be79187d006776fbc2f6","source_transition_ids":["sha256:590264df8e5b56b8bd2174935043d2d1c4908d24b0bbc2c2ccf503008d866a6e","sha256:e9f45ad5bbf4c4d7aa25a87659a4fbd66811d7b99f7472f44cdcf90b4307475c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3bb08b9f9fa5897448b7af327ac41f2ecced63c6bda482debde1509602fd01a1","candidate_id":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","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 = (10, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f04eb8ab4ddec095abb5855c90c7116040abfab8b6765893021f67c888963a9"},"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:af0176fe875836d5069798fd804ae6255f1b321984d4b306f72b5dd8a4f2487f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 7, 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:d7f14be4923494d3ff26bce88393f7e6d307b65164eed3dc249fa599ab1aadf2","rejected":{"artifact_digest":"sha256:5e5248b0e4cc00f821732b3d8cc0d464a187624e4c336069b7f80c07f3febdac","candidate_id":"sha256:80738edd7280125c831634d829a6088897c2864d6cb6cf660bbec9499b4c5c2d","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":[1,1,1,1,1,1,0,0,0,1,1,1],"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 = (10, 5, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a3e05b3d77a1297b0870530223299e569c8a153fb2ad075cf7b2babfe62ee259"},"sample_id":"sha256:48400fd534055e2b8740a3aa3a6841e9a4c306b0b102f8696aa872168dd692e3","source_transition_ids":["sha256:590264df8e5b56b8bd2174935043d2d1c4908d24b0bbc2c2ccf503008d866a6e","sha256:9469d0df783a868704b97603d0b76a8f85611957163dbffac1a27873aa8ab045"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3bb08b9f9fa5897448b7af327ac41f2ecced63c6bda482debde1509602fd01a1","candidate_id":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","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 = (10, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f04eb8ab4ddec095abb5855c90c7116040abfab8b6765893021f67c888963a9"},"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:af0176fe875836d5069798fd804ae6255f1b321984d4b306f72b5dd8a4f2487f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 7, 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":"sha256:568f50624243256f39705a3da68c8f06068d36dcff01e2e7207115d5e2c0cfec","rejected":{"artifact_digest":"sha256:7c7fc4bc205155333c0b722e19e5fe15c42bc956e6d2f2da68ea8e031dc34884","candidate_id":"sha256:5ada0901e9306443c976d2211666483cefcd6704f424118b82eab9d9106891a3","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 = (9, 7, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b0bda7ce64ac7f7803affd82fe11796d4ab769ed3fdc29a43a58921c828249d6"},"sample_id":"sha256:6bcabeb8eaa8b090c551181bf140511a998743fca7c21822115d641b1b2282f3","source_transition_ids":["sha256:590264df8e5b56b8bd2174935043d2d1c4908d24b0bbc2c2ccf503008d866a6e","sha256:897cab7b78fbade08b04c590ddad3688a17e7be4e16232091f618d60c568fdac"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c8f5b30dd27dab85716e5892781723fffcc37cde34c1680b370fc3349c425f4c","candidate_id":"sha256:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","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, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:14432fc07104f0fa82df57d386351eeb5373bb2703386e23a26fe7b17a65c854"},"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":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 11, 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_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":"sha256:916bc3cf2daf08c828eb955ac4b429a80eb2fd14bdc830f18546029d87216e0e","rejected":{"artifact_digest":"sha256:078552f020675aa8d696c41d95f0fa983be11cf7ad9fb70a118206693aad523e","candidate_id":"sha256:2ae9669d32c52f40e17864ea69e14e608db4b4fa3f2df7cc4d1d78967666b1ef","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":[1,1,1,0,0,0,0,0,0,1,1,1],"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, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2b0debb2377ee0a534d7c9f441cc5e586c5bad5d6c32284683c523f73bcfec2f"},"sample_id":"sha256:d4675ec784584fecc4b12669d1700940f12c376242e54086b417771ca5fcb572","source_transition_ids":["sha256:61980719a3523535055b52c624585d1956c2b0a24886e3b9103c2674e01ea11c","sha256:fb7b82168b10bc0ee979b1f61bfee07025f30fb1473bdc96ec7d8ef78967207b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c8f5b30dd27dab85716e5892781723fffcc37cde34c1680b370fc3349c425f4c","candidate_id":"sha256:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","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, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:14432fc07104f0fa82df57d386351eeb5373bb2703386e23a26fe7b17a65c854"},"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":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 11, 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_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:b8adf109bef8645c34bfcdbac7de9d638af3cfeeb0e8134b8d3c760754243a57","rejected":{"artifact_digest":"sha256:23f613a3bdbb015e18e44f29eae3e9c09b9af8020677a80c40b4fd390abe4513","candidate_id":"sha256:a1008e983fbacc673a9065f23b778f62c0f6db00dceb220320198ae0bae9749a","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, 10, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c5af5e49dd7f9748174edc54c48d4945a210fbac250c6fed2813b3c917f8ff8c"},"sample_id":"sha256:9baa197d9b0d98b07ff78164b209f7a9a69a7fdcc7629ae9f7be84eae0777ad0","source_transition_ids":["sha256:61980719a3523535055b52c624585d1956c2b0a24886e3b9103c2674e01ea11c","sha256:0e04af3fda27c3ea36b1e45bb087cbbd47e4c940c4d44900cf0e7c2d52b299c9"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c8f5b30dd27dab85716e5892781723fffcc37cde34c1680b370fc3349c425f4c","candidate_id":"sha256:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","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, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:14432fc07104f0fa82df57d386351eeb5373bb2703386e23a26fe7b17a65c854"},"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":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 11, 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_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:f393f39ff921a731caec2898b5149a5154e9936e8f9f8c2133a381e37d17266f","rejected":{"artifact_digest":"sha256:54571578b68a78e74de90e2a5130bb4855f54eb5e594e624094ec7f8089aba84","candidate_id":"sha256:c3a2e853d1900c6e9899f2c355d9e9896e2f0f932c29f882da48bb7d2e2ff817","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":[0,0,0,1,1,1,0,0,0,1,1,1],"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 = (9, 1, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:cc1940b7a92925ca8730f4c98395af5a0bdd3eb0ca815a02c12153e54dbf947a"},"sample_id":"sha256:10c4cd4add311a42df1c20625b222a5ad3ff9e037e7653f362a464b5d1a8efd2","source_transition_ids":["sha256:61980719a3523535055b52c624585d1956c2b0a24886e3b9103c2674e01ea11c","sha256:4c27fca1ca1f7bf96b297159ce520359a0d3c53454d5b8cc002453ae6df048a1"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c8f5b30dd27dab85716e5892781723fffcc37cde34c1680b370fc3349c425f4c","candidate_id":"sha256:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","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, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:14432fc07104f0fa82df57d386351eeb5373bb2703386e23a26fe7b17a65c854"},"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":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 11, 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_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":"sha256:289e8992c274187f83055da300cc3e8c3b8b087e54a5c95b288c21082cba475e","rejected":{"artifact_digest":"sha256:89b8bb8e636cb09c5a7237ac8a78d4c7e4f56f54cd51c8682401dec9744763fb","candidate_id":"sha256:78c75ed47c22070a154295c07b8ea2b7e6edbf670d4cab0297f1dd7a1a8136ad","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":[0,0,0,1,1,1,0,0,0,0,0,0],"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 = (9, 13, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4eebf340d8ec2fd44176799f4b26b3f9fa20dc114f682433cfc064c8c6875d70"},"sample_id":"sha256:3002057dbcc5e1d9be66c9b21117c02f7f7b07bb99e35f8ae52a4cf62d706778","source_transition_ids":["sha256:61980719a3523535055b52c624585d1956c2b0a24886e3b9103c2674e01ea11c","sha256:471b5d80acedfdddbe7e895c2810f71d360203e4cfcb18e355b78bc9ed00a2c1"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:addae2203c842f429cdd8ecdbf29d6faa10aab9ef6a9217d1e2e6a7e7d60c962","candidate_id":"sha256:610ffbc522463c7e79b751a5ef509ae3a3cc8a77b9aa29b238ccc008740d2be8","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, 4, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:625436d36d6f2477e69988f793ce53fbe3298c75994f0a5ab8edf0cd55228ca7"},"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:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 4, 11, 1)\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":"sha256:89d1ceb07c9753aebcdb6e3453dbf44c2eb9958624b49da77a34f70d61eafd62","rejected":{"artifact_digest":"sha256:4ff5b4acfc79c92cf0107e8d5a5bbe1bf5d1632080474564e2cb955b09b03b52","candidate_id":"sha256:3b48a75e92d661618602315e21643df8d8c33b88646048917b865501c22f5a32","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, 4, 11, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:6e42ac7179cadc3bd3dd530f746a99373f249077765e0db6c451ce5461e7f217"},"sample_id":"sha256:ef43e57010da685117ba6e599b4684c7da91e8dacf07ae046f99403b8d4651bc","source_transition_ids":["sha256:3c6fecd22f464423b3a152b72603b8515d3872febb6ae4c4c59caf7c93dc7eec","sha256:f77183cd469f998620231b902717dc43d247930e14a5763fb4796a280db9f23c"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:addae2203c842f429cdd8ecdbf29d6faa10aab9ef6a9217d1e2e6a7e7d60c962","candidate_id":"sha256:610ffbc522463c7e79b751a5ef509ae3a3cc8a77b9aa29b238ccc008740d2be8","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, 4, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:625436d36d6f2477e69988f793ce53fbe3298c75994f0a5ab8edf0cd55228ca7"},"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:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 4, 11, 1)\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":"sha256:38ce83fc1618d0bb1be72c03d94780ae23afd59c21a37e7dbb2ad7f18505f687","rejected":{"artifact_digest":"sha256:3bb08b9f9fa5897448b7af327ac41f2ecced63c6bda482debde1509602fd01a1","candidate_id":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","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 = (10, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f04eb8ab4ddec095abb5855c90c7116040abfab8b6765893021f67c888963a9"},"sample_id":"sha256:dbfac75ce9548d6181e06e16bacc21791adc15bdb7a6d969268d081811aba6aa","source_transition_ids":["sha256:3c6fecd22f464423b3a152b72603b8515d3872febb6ae4c4c59caf7c93dc7eec","sha256:4f9790c2afbf5d261a97741fcb79a19df49c8e407121daad15ce63e194ae8f44"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:addae2203c842f429cdd8ecdbf29d6faa10aab9ef6a9217d1e2e6a7e7d60c962","candidate_id":"sha256:610ffbc522463c7e79b751a5ef509ae3a3cc8a77b9aa29b238ccc008740d2be8","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, 4, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:625436d36d6f2477e69988f793ce53fbe3298c75994f0a5ab8edf0cd55228ca7"},"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:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 4, 11, 1)\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":"sha256:52d0687aae0dfcc98a5c17892c05070cf6b9ff4f46cc0da2e7ab3724c7323a08","rejected":{"artifact_digest":"sha256:3bf6621b556024ce4e979d9a37729fc456e370dcde445392619e3e152bdb2215","candidate_id":"sha256:e8a8cdc1887574ff04eb1b97ff87c9856d6f075ce96d67345d7b504c5aa2b63d","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, 4, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8af1e80eb5ed37004fe0dd2424ab557481f0dd52678a35559a652bfb4b235dce"},"sample_id":"sha256:de33e5028bab08a0846c2590d62146bcbd595509902771e30a64adea89d6aac0","source_transition_ids":["sha256:3c6fecd22f464423b3a152b72603b8515d3872febb6ae4c4c59caf7c93dc7eec","sha256:65c6777d7f2647aa162d1262cd2eb56c5d55e20f264d2dd97143731d7073763a"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2ac51926a55b2ab52b3d267374782c2ac86a9ffce9ade297e7af1d6f45842c15","candidate_id":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","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 = (-7, -1, 1, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3e6bb7414c580ac447131f287eb723b31ccba472591f5c80df73b577fb34b181"},"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":"sha256:5e9766d4424e68a5693c76c09fab7fc321fa03f1aac1f89aa79d16aa09066318","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, -1, 3, 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_006\", \"lookup_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":"sha256:4684fef2e61fe71a30be75289e6aefae2e66a8de8626171974dc99b7d3a0f412","rejected":{"artifact_digest":"sha256:4829db9c0f46f631849599c7e9d5a704ef0d696c82763c94cc1c607535e06aec","candidate_id":"sha256:a0b4d719696eed678988516a48e130681e8e53843832c0e4a75ca2bca238246f","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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 = (-7, -1, 1, -3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b27e1ce0e079c7a9f8675d348f4f15254dadf2eed6b4235e7cb14b0c5fc80138"},"sample_id":"sha256:6d90ba12f974111828e4051f791b6d9fb75419c42d5464b3ad4678cf9ac806c6","source_transition_ids":["sha256:5006e47bbf79169254dec0c554feeb67e72b0cd53dbedb52c099a373e078b533","sha256:8c96c617043ce362ef4d4d10691fe2bcfae5f3c6dd46ce8199f5628841c81556"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2ac51926a55b2ab52b3d267374782c2ac86a9ffce9ade297e7af1d6f45842c15","candidate_id":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","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 = (-7, -1, 1, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3e6bb7414c580ac447131f287eb723b31ccba472591f5c80df73b577fb34b181"},"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":"sha256:5e9766d4424e68a5693c76c09fab7fc321fa03f1aac1f89aa79d16aa09066318","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, -1, 3, 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_006\", \"lookup_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:eb1b2d6aca2b7a40c1f275e3c7b5d29be6895b7ee27563c6047d902e254bba26","rejected":{"artifact_digest":"sha256:3fd78289f31375b36f31905b396b9c9746c3dc6165c33f443b29f9d650aedc35","candidate_id":"sha256:8b0bb1fae64ab01cf88264b926cdb5bad410bf0985e50c301bf2c02f7faaa24b","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 = (-7, -5, 1, -1, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:38635af219ee0f80251b0fd80023cb402065de5c252553f50427fcfcc4eebeb1"},"sample_id":"sha256:f329dd4bca694e31d7af83a859bd959cc33e98076f06150e52b69264ff25a8ce","source_transition_ids":["sha256:5006e47bbf79169254dec0c554feeb67e72b0cd53dbedb52c099a373e078b533","sha256:fc4d2c91d5be915859617d0bc223b9aa2aca8c8722605af610b072bf27f6bba1"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2ac51926a55b2ab52b3d267374782c2ac86a9ffce9ade297e7af1d6f45842c15","candidate_id":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","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 = (-7, -1, 1, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3e6bb7414c580ac447131f287eb723b31ccba472591f5c80df73b577fb34b181"},"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":"sha256:5e9766d4424e68a5693c76c09fab7fc321fa03f1aac1f89aa79d16aa09066318","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, -1, 3, 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_006\", \"lookup_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":"sha256:8559c025b3a9e13ef69276d4780af54c25e31becb0d942310a1c77561db20f81","rejected":{"artifact_digest":"sha256:a209de1e695a696adb627e5829b7dff246806cd6461c860638f3da213deb249d","candidate_id":"sha256:dbad756417d8d46ca658d8544e5ca25061253e6378535172226628ed10eeede2","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 = (-7, 6, 1, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4641bd01630b386b33a39033e4b26c3a6eb923c38dafa94e7fcefcf6fb4bf8c6"},"sample_id":"sha256:057f9a4859e30023ed6834f0b270b1eeafd3b3a5c3eefc8bc97f74fd2838b2dd","source_transition_ids":["sha256:5006e47bbf79169254dec0c554feeb67e72b0cd53dbedb52c099a373e078b533","sha256:2855c64676f76d3cae40b8b662c8ea44f9fdc60cfc7c2b1ea6136064eca897bb"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2ac51926a55b2ab52b3d267374782c2ac86a9ffce9ade297e7af1d6f45842c15","candidate_id":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","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 = (-7, -1, 1, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3e6bb7414c580ac447131f287eb723b31ccba472591f5c80df73b577fb34b181"},"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":"sha256:5e9766d4424e68a5693c76c09fab7fc321fa03f1aac1f89aa79d16aa09066318","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, -1, 3, 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_006\", \"lookup_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":"sha256:9dc8eb8922ba634d5dcd04c426a0ec7be24b307cdc9dc1727985e70b250896d7","rejected":{"artifact_digest":"sha256:b4cb8827ba455eeb2917b1f6f1466e523eafd4b005b66cb203e4adaf625e967f","candidate_id":"sha256:39af0178b07228edf6161ea0e828fafd45963d3e80781bd2e861fe090bc1542f","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"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, -6, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f84aa1fe68c5eaf93798688f019008b40f7470b2409171f4dec25f8463d3aaf4"},"sample_id":"sha256:8a10add84050a448f6de70d46fe339a408d78be8c9f502b26e9613893db241b8","source_transition_ids":["sha256:5006e47bbf79169254dec0c554feeb67e72b0cd53dbedb52c099a373e078b533","sha256:9971c5521f7cba41a50cd593f97d3634692a2586ffedd6d167f8a06b1b5c2751"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1a1298560b8554fb3db67cd6ee3b76ff81d64c96af72ff56f168bd7a87491447","candidate_id":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","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 = (-7, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:de4570784d55dd0965491d3d1ad15640812499521f09690139595588f03d7d96"},"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":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, 3, 3, 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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fc8f91fd102e366b604532c70701732553ae024023043937d4bac721a25d4866","rejected":{"artifact_digest":"sha256:b135d9c9d3d8cd478cb31857338f59b3d007f4ebbddbd67a9fbdf0153171e45e","candidate_id":"sha256:2f4a75db7fe92ddfd7c4a1db7b972568eb079129a406a9efaa698a46ce329778","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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"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 = (-7, -1, 3, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3657810b4387976689c92e3e09d1cc3641427798077789d54bfa48d8669ce9c6"},"sample_id":"sha256:f9382ab47ad5ee44ba3dea498513953587dfed1f0daf0f1d5c119c03e464b346","source_transition_ids":["sha256:cda675cb63210e083013dbeced0d35e2589f572d5034842acf3d7b79d6bebe72","sha256:ba1a1403956be06bfab57fd1d5e642a39d8f5c18b55ff509bd633358cfcf8a51"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1a1298560b8554fb3db67cd6ee3b76ff81d64c96af72ff56f168bd7a87491447","candidate_id":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","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 = (-7, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:de4570784d55dd0965491d3d1ad15640812499521f09690139595588f03d7d96"},"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":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, 3, 3, 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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:84a4d320494dcc8fddbcb1732d4d8ac99404e37326541230e5569cea53f5258b","rejected":{"artifact_digest":"sha256:a6f02f04ac133b529321a40a4ec426cdad4d1a8c7e566c63dcc79fceadfa7e4d","candidate_id":"sha256:a21ace95f6413c808ce322fc4f38aa9bf3d4c68c8525019a1ba4441f46c91dbb","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"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 = (-7, -1, 1, 3, 0, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:22acf2f74d0cfbf6552e975ffe4b0c441db24f645e92eec8cbf4cf9d308b95c5"},"sample_id":"sha256:68cc321ffa2c14017777260ea7d844f43464e8fa55a2592231711079f51312e9","source_transition_ids":["sha256:cda675cb63210e083013dbeced0d35e2589f572d5034842acf3d7b79d6bebe72","sha256:0a457a0e72468014ace857e77f90f435c50125b2d16d873c02897b33defe5768"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1a1298560b8554fb3db67cd6ee3b76ff81d64c96af72ff56f168bd7a87491447","candidate_id":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","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 = (-7, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:de4570784d55dd0965491d3d1ad15640812499521f09690139595588f03d7d96"},"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":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, 3, 3, 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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ab58f5cca73a31156fb9aa00c664f8b8f8e3443b2a61889b5b1e2d295892496f","rejected":{"artifact_digest":"sha256:9e5e45b4efd2001b687b9f6ce354304d3f9a81f329ad01960e84fbe04a960340","candidate_id":"sha256:5f1f8ea01d9f26983e01e369f1ead0d7f89a2cad2401c9015fb2c6ab1af7d8b9","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 = (-7, -1, -7, 3, -4, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0f66f6e219bc6cec1e972b055348a604d7863400adde629474d0e920b3b45deb"},"sample_id":"sha256:80a4454ce33731926349117d3f071f5fab76a38b42fda3a1887aaee612ba8ce9","source_transition_ids":["sha256:cda675cb63210e083013dbeced0d35e2589f572d5034842acf3d7b79d6bebe72","sha256:65bd8e1d596ae04d3d90afc9f6087484bb64f792eddd3def35cc8abbf009371b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1a1298560b8554fb3db67cd6ee3b76ff81d64c96af72ff56f168bd7a87491447","candidate_id":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","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 = (-7, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:de4570784d55dd0965491d3d1ad15640812499521f09690139595588f03d7d96"},"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":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, 3, 3, 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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:99b9f8c1447c2ef067129aae2226b542e8800506df62c30f5f2f3ef9c74a8caa","rejected":{"artifact_digest":"sha256:c094b84ad8ca9f553a6965088786df4f121126c33749ae39257c4c07e5b30f66","candidate_id":"sha256:fdc92d7c65a42517aa63ee36e51655a5fae8972cee0b5eb387f5065843950818","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"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 = (-6, -1, -7, 3, 6, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:aa3094ed4333ff6a2abe20e717f8f1fc25e9764aa1ac6293ad7f35befbc9596a"},"sample_id":"sha256:2c9e746c021169eb32cec162bcbfc79ffd578b946f994a807a459b5f05535bcc","source_transition_ids":["sha256:cda675cb63210e083013dbeced0d35e2589f572d5034842acf3d7b79d6bebe72","sha256:79435db0b24d9a0304777943b678485f47d956a6cfe36c58d8ff20af9b1cc87a"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:78abb33c8b6b6c4dd63ff28700cdd50651d07ede7c794dedbcc3d9467f172a3b","candidate_id":"sha256:56f8bba371141a75ace9c0cbe6a3f2aa8c42781b8e2aa1b59bfb10dd110f76a7","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, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:aeadb9c6aff1f3751d3acec28ad602ed4e6dfec9684c339eb4a93c741cd1ed2a"},"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":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, -7, 3, 3, 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_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:05b423903148bfbf04f72c7ff19b678d6a1731da634519bda2e7231b8a570401","rejected":{"artifact_digest":"sha256:e869ca073e5f9abcfc5abe04ac9a552d346e2211bf2d31eb034bdda33f5d495d","candidate_id":"sha256:9cd36f048142a8b016374fedb78b06e181a46fd7258134902b54b5aea48df00b","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 = (0, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:23e31bd9c409f16e7c5d0059cbbb14c831021780e8cc39602ca22786adcb7f79"},"sample_id":"sha256:c4217a1c87a90155fb22a869645811c1f16132200fe5049d60ffd7f61a9cc637","source_transition_ids":["sha256:d67e0ade75b719d3b68693f3f701a41d5fffd1533e5891bceaf94a7374e64bb3","sha256:fdcdabaa7732e01a5d1c6a588ed1e31aa02fd48150215f7a9d60b3933920b5fb"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:78abb33c8b6b6c4dd63ff28700cdd50651d07ede7c794dedbcc3d9467f172a3b","candidate_id":"sha256:56f8bba371141a75ace9c0cbe6a3f2aa8c42781b8e2aa1b59bfb10dd110f76a7","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, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:aeadb9c6aff1f3751d3acec28ad602ed4e6dfec9684c339eb4a93c741cd1ed2a"},"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":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, -7, 3, 3, 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_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1c087466ebeb40b860d77aff508a053547ec5fdc11e8b360e536606d603c2558","rejected":{"artifact_digest":"sha256:e55d060d9419d8108758e852c20362e1487bbf85d7349d8663800ba8871960c7","candidate_id":"sha256:c2f9cde2b6abbdfe861baa73ed76dabf336f6a4664dc4eea80823d18374d8821","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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"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 = (-7, -1, 2, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:da4b288c5ae09d220f7d7da72d498e896b32dfff50a25eb8ac0b5cf7418cf637"},"sample_id":"sha256:0e3206bc3df0ef478552b9b823a41d2ec520b7b773a9f9d282469da74c135370","source_transition_ids":["sha256:d67e0ade75b719d3b68693f3f701a41d5fffd1533e5891bceaf94a7374e64bb3","sha256:7b076053c8c5c7c9169ae326ba4381901166890002b2c0f6bdb5e34e2205eb2b"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:78abb33c8b6b6c4dd63ff28700cdd50651d07ede7c794dedbcc3d9467f172a3b","candidate_id":"sha256:56f8bba371141a75ace9c0cbe6a3f2aa8c42781b8e2aa1b59bfb10dd110f76a7","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, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:aeadb9c6aff1f3751d3acec28ad602ed4e6dfec9684c339eb4a93c741cd1ed2a"},"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":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, -7, 3, 3, 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_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2a574238c238ed46718f325719135d029e3e3af31f167c8a3b940e27e1e9b6c3","rejected":{"artifact_digest":"sha256:006ea86665a669a42f269afcf52b16493cfe00a451ac64fea88215f27f693f69","candidate_id":"sha256:93a17932d79d84c76f37ecb0c588a466204c8e02b82afec052a4b9f56618c649","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 = (-6, -1, 8, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b93f7b32f8cc287839e49a2da8d92d26c743172b4f1920e60e0599bcde56cd70"},"sample_id":"sha256:92848f5cde7a8a6160a9fb7d86b735ac04bee1353a8362c22eb76cf237364653","source_transition_ids":["sha256:d67e0ade75b719d3b68693f3f701a41d5fffd1533e5891bceaf94a7374e64bb3","sha256:30ce291bb110a033a3dcabcad5b1bf614fc7ccb29833b58d5f584423f41b41ff"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0a69d4967fd698853777000be4235f9fdec7e51e508fd5db17a1a0a1e029f418","candidate_id":"sha256:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","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 = (11, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:68abe23a07dd5f14f797ee4d6caa04d78d2336f9f831b40f85b6454c68eb22d7"},"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:a8b0a98929b8cb566515ca3ae190936df3559de0db1527d573c651f576ffe666","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 1, 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_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":"sha256:7ca2dcc84e7cf4b629de0c7622924cd336fb3301424955fbf74eeaa4a421c86c","rejected":{"artifact_digest":"sha256:fbc55f83b6eba6b23212088cf35bf6b00e984bff72f7b2f22d45544c92c92b86","candidate_id":"sha256:7c85ec045e643431e7ea9349a0791b21b2ec63fd4480609fe246d061b90bf784","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 = (11, 6, 6, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:7cbfd86347e4ae63ed76de65ff6760c76041748e410326bb477e6cd1c7f3ba50"},"sample_id":"sha256:31fbc904339ee60ea40932d586068c6fcabf5a9e6196f7081b495108e5f768dc","source_transition_ids":["sha256:2d1617f36594425633b0df1dbf6052b50ab372d26e4daa17e8a2a99f379c17a6","sha256:81014e3f58334e3500370c529f01ca2e00da5fbf9683073e5d51a5847cc36907"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0a69d4967fd698853777000be4235f9fdec7e51e508fd5db17a1a0a1e029f418","candidate_id":"sha256:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","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 = (11, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:68abe23a07dd5f14f797ee4d6caa04d78d2336f9f831b40f85b6454c68eb22d7"},"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:a8b0a98929b8cb566515ca3ae190936df3559de0db1527d573c651f576ffe666","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 1, 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_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":"sha256:5c43981a3219c84eb4713f22cfb68aeb919974a1161bc8617352ab57ddfc690b","rejected":{"artifact_digest":"sha256:efb92dd303e978d61090cba0444408ab3d5d6b3c85e849ae18029078c71ff5dd","candidate_id":"sha256:463ecba88fb11a9015937efb0f61f552fade48f862f7063a40c1064a53c59382","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 = (11, 6, 1, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f4902495e1d0ca103f40d15a73f1978c7a5f15a45b147c3e9cc2cee639823181"},"sample_id":"sha256:565c3e08ae05754b51366a6e5a2874d945e413451e1b82ca55dd2100b907d428","source_transition_ids":["sha256:2d1617f36594425633b0df1dbf6052b50ab372d26e4daa17e8a2a99f379c17a6","sha256:9acb8f0a86ac9bfc436b842dec70b57f7d50943dab0e56857179530af32a322a"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0a69d4967fd698853777000be4235f9fdec7e51e508fd5db17a1a0a1e029f418","candidate_id":"sha256:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","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 = (11, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:68abe23a07dd5f14f797ee4d6caa04d78d2336f9f831b40f85b6454c68eb22d7"},"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:a8b0a98929b8cb566515ca3ae190936df3559de0db1527d573c651f576ffe666","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 1, 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_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":"sha256:930233086b0a597eec2a2a6ed16e26831a885568b1d0808ca624b2d189b5962a","rejected":{"artifact_digest":"sha256:6044da5588439cbfae36e09922eb9e4d56e80a0bfabb16c8f000352819b0415b","candidate_id":"sha256:6468892aad7a07de16c3b5b4bf69699d3840d5953e51a7e4ff06fc1ed83c61d8","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 = (11, 6, 12, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:01e9715f11df00202e18b1bdf72aa48dcc19e0db2d899769fc359860d51c5a29"},"sample_id":"sha256:ee715f1c3fb646826f1137d099b773be2e6cf7e804f68d919c8ac4b1fd094d8c","source_transition_ids":["sha256:2d1617f36594425633b0df1dbf6052b50ab372d26e4daa17e8a2a99f379c17a6","sha256:d7020272f625cfe727a6f00ee818a0d0bbf91ca4186d2da4bcc14e27f1b2d91d"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0a69d4967fd698853777000be4235f9fdec7e51e508fd5db17a1a0a1e029f418","candidate_id":"sha256:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","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 = (11, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:68abe23a07dd5f14f797ee4d6caa04d78d2336f9f831b40f85b6454c68eb22d7"},"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:a8b0a98929b8cb566515ca3ae190936df3559de0db1527d573c651f576ffe666","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 1, 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_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:f59a1eb5ddc2931a99b9f12b7aa5db9a3c5e3bfa8f68521e5fac5070e0476633","rejected":{"artifact_digest":"sha256:c3ddb43f79e68f3a449ad475418c3e6ac030efcd1e94206776bf12501c2efe35","candidate_id":"sha256:2e49438c5feca59755de6e26dc4f4f780d5cf7afa7dd14bff65ee8c338f083cb","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 = (4, 6, 12, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:bf850fb5c5c5f6eca4005f3d81a583c781f6b117b05c54d064579cfd45fa5d77"},"sample_id":"sha256:0945b50bd6a1bdc737e186298ce3cbdb0c9cd2c143b49396d9c1b641e0271529","source_transition_ids":["sha256:2d1617f36594425633b0df1dbf6052b50ab372d26e4daa17e8a2a99f379c17a6","sha256:66d371035852181a9950371f99e2b600ada7cf82625852e860562d11b4c01ea0"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e9a80ac4506cd0a68dd0f6996324608f9f9767279cea327a4be14ccebba1b274","candidate_id":"sha256:8223a111d8a9e3fc36e72bd1edeb64b688e8df7e2abde8dc06d69aa0e28ad49b","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 = (4, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:263d2ca13e73d2f8af0bed2ecf53d68e91ff1357fd6565c96a23249f4e0ec2fe"},"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:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 12, 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_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:05ca45e5161fbacf0445b3accaadd397fc1a967c66c91f3206f39ef8bbacabee","rejected":{"artifact_digest":"sha256:36c933e961e6d3d86f6bc9d5426480ec6905fcb7cdfa1dda62f820c4fff4cfdc","candidate_id":"sha256:37836980ffb962c37347f9ab57f96fa2c46b02b6b1602da1ebe98c2d4a8700f0","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 = (2, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c7c684271cc4497f6d524b38a7353c217d03e45f5fa4ebfc587d68c1f51a94c5"},"sample_id":"sha256:ecdffbcaf51318bd62bab40c67b5f76358c6a34db68f9eaac870442d4d1284d8","source_transition_ids":["sha256:f2c9af5fe37c9d815a37f8fc6cdf38fb66fd18d9c28bf946ad1e599902eaae9f","sha256:b6ebe7469335408064e63c2d60f818594cff35a9e84ccb9fbee0f869a229da9f"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e9a80ac4506cd0a68dd0f6996324608f9f9767279cea327a4be14ccebba1b274","candidate_id":"sha256:8223a111d8a9e3fc36e72bd1edeb64b688e8df7e2abde8dc06d69aa0e28ad49b","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 = (4, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:263d2ca13e73d2f8af0bed2ecf53d68e91ff1357fd6565c96a23249f4e0ec2fe"},"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:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 12, 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_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a777b906582ec0ca8e912fdd2e3b17dfe25e5d608f4401a4aa2372d3b9fb15f5","rejected":{"artifact_digest":"sha256:58f403c5043f2833e628f8588168613975094587e7de43b611291b83143da782","candidate_id":"sha256:0c7f4edbf918ca3cc2e0c4f23b098c653f589f95f0d963c86cf5adb8cc3a7ef4","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 = (11, 5, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:7ac1367e56bbb6eb53806ca524d7fc1058aa22f2f57c9588f0bb712d0652c49a"},"sample_id":"sha256:284a4298105932b4eda3ef8e47b03804a6c3ae3a70db3698313eae53fec30d66","source_transition_ids":["sha256:f2c9af5fe37c9d815a37f8fc6cdf38fb66fd18d9c28bf946ad1e599902eaae9f","sha256:3845fcbafbf1eb629258c1f984eeb44d8195a42b2fc5985176999255dc8b9f03"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e9a80ac4506cd0a68dd0f6996324608f9f9767279cea327a4be14ccebba1b274","candidate_id":"sha256:8223a111d8a9e3fc36e72bd1edeb64b688e8df7e2abde8dc06d69aa0e28ad49b","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 = (4, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:263d2ca13e73d2f8af0bed2ecf53d68e91ff1357fd6565c96a23249f4e0ec2fe"},"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:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 12, 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_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:012a072d680e3c93b6614de7476fb20a3f05c11277616cbd32c40c5176dfd6e0","rejected":{"artifact_digest":"sha256:c2bbc40266e7d32d25d54fc7266be41dddc87925ca818f692854759d5a5e423f","candidate_id":"sha256:10d710db7333c55a475df528abbd46d4ac8aca63eced3751719f16205a82ae1e","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 = (4, 12, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:54b5f1e45dd40fbefe43aa01297f8a86bc83324a6d084d7bd8a558f711b5ceea"},"sample_id":"sha256:fd8a313ecc91f008a02f4deb58fcafa0e2638297ae8eb1826624d59116198343","source_transition_ids":["sha256:f2c9af5fe37c9d815a37f8fc6cdf38fb66fd18d9c28bf946ad1e599902eaae9f","sha256:872ca911176e8269dd7f1ae59b1b30921dd9ba73e95839eb402106d87e63d0ee"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:344a666b01e6dc43a2fa937dfa12d9eb9afa671993c650912becc061e7bdad4f","candidate_id":"sha256:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","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 = (3, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5fc34a9b44421964c15c2a396b1f4e18e3065345850c98303d17fd79401db9fc"},"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":"sha256:3c90a9679688f136f4eee167354c78cca3f503cf6456491c8f8ff80a06053250","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 9)\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":"sha256:742121316721b36da1c58f82cfdaa8c13ce22bc90322dc43607b8c97e9076975","rejected":{"artifact_digest":"sha256:e15228fdff968f6d000dfd807b99185021ccb92bb20775ea0739c51dea38fbf7","candidate_id":"sha256:f324d74c42eb3c2b2c27912eeae573a1f2771338ef6d5380cf5f41117003298e","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 = (3, 3, 10, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d7ebab6aa82321b959d3a764c9e86218a3c6dd0883eb9ff92324e537bb25be43"},"sample_id":"sha256:c381470d7848f4545514c8cf1698e05777e7eb161e1e8602f2ede5685c07a764","source_transition_ids":["sha256:80dc8b84bbf4ed5f67d34d5d6cf2910a2a9aee8bddb1a0b5b900dd0f9e027de5","sha256:b5f42e5fdbf2aa062cf3e79c1971369d75e14e349192cb8c9bea9be5d10f245e"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:344a666b01e6dc43a2fa937dfa12d9eb9afa671993c650912becc061e7bdad4f","candidate_id":"sha256:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","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 = (3, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5fc34a9b44421964c15c2a396b1f4e18e3065345850c98303d17fd79401db9fc"},"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":"sha256:3c90a9679688f136f4eee167354c78cca3f503cf6456491c8f8ff80a06053250","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 9)\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":"sha256:1031b68d1e9bca2c6fb0f188888aa1e7dc1d7e982971e73a0906955bb70e1393","rejected":{"artifact_digest":"sha256:9d0eebe622e3b569d9941eeb5e0b3d4ebbb771b63fad6abaedc7f02a194635ab","candidate_id":"sha256:a26f5300a319bea8ab7aacb22dbbd2690d2246308f71aed7190aed58502ca66b","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 = (3, 13, 10, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:83a665413c3e29efc4352d92dc55b9615ee14da9c272f406396e9df3cb7cc242"},"sample_id":"sha256:0ea2cc947753ec2609c929bfb5fbeb24a820d287d3c62711e3f8b9bf7d355683","source_transition_ids":["sha256:80dc8b84bbf4ed5f67d34d5d6cf2910a2a9aee8bddb1a0b5b900dd0f9e027de5","sha256:06516afc975c19f60345fbe81c745695da03da500fdde62ab62c2ecacb96bfff"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:344a666b01e6dc43a2fa937dfa12d9eb9afa671993c650912becc061e7bdad4f","candidate_id":"sha256:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","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 = (3, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5fc34a9b44421964c15c2a396b1f4e18e3065345850c98303d17fd79401db9fc"},"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":"sha256:3c90a9679688f136f4eee167354c78cca3f503cf6456491c8f8ff80a06053250","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 9)\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":"sha256:40bb8ea0261469bffa8335b1baf5d397da4420405b925249a6b4ffaedcb1850e","rejected":{"artifact_digest":"sha256:790414e47d05a4be64ebb9a9c79559bd82fdd6e8f451adcdf0df4777cb83cd85","candidate_id":"sha256:dc8f6b976d936faa2f824949f5c940915d7e125b779576440f93b758b773467e","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 = (3, 6, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1a977fa6001ef8e9d4c52ab76c724bd717c32cb5ffa5724eb5329e7a550df9f4"},"sample_id":"sha256:561a01554d4a2fe5042ca618741db5d77d967d2452854861b22525f9aacc0cb9","source_transition_ids":["sha256:80dc8b84bbf4ed5f67d34d5d6cf2910a2a9aee8bddb1a0b5b900dd0f9e027de5","sha256:0095c052502a487f8ef36f50839efe7774c7a26bf02ebe0e63c69af0696b7dca"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:344a666b01e6dc43a2fa937dfa12d9eb9afa671993c650912becc061e7bdad4f","candidate_id":"sha256:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","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 = (3, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5fc34a9b44421964c15c2a396b1f4e18e3065345850c98303d17fd79401db9fc"},"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":"sha256:3c90a9679688f136f4eee167354c78cca3f503cf6456491c8f8ff80a06053250","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 9)\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:d98e19f4de7aacce76f1542c883282ae2cff2023d68e5a29184b7c787813d4ca","rejected":{"artifact_digest":"sha256:f581b24f86fa246dd8e3cac7bce08424dc693e01cb0250228a320bb54a8bf3f6","candidate_id":"sha256:bd3afb84d735836254c38167d96dd87bc722b0b8892d44f31d71e6c744a05a99","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":[0,0,0,1,1,1,1,1,1,0,0,0],"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 = (11, 5, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:708204c39e3b1b776b258f149aad9b38f0c2d20db4563805d4709046c12ed5c0"},"sample_id":"sha256:0faa094dc68254ffc930309e1cd01a0c5ca1e97915184d3156f621e9ef20fdef","source_transition_ids":["sha256:80dc8b84bbf4ed5f67d34d5d6cf2910a2a9aee8bddb1a0b5b900dd0f9e027de5","sha256:a4e82a04c003c29b22455b5b5e385d44921576a913ae5498bda0850d2ee43ce9"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e0637362a85e429942b94d74fc9bf5bb1f1e04d4b30030b7ff8f82c483bd38e2","candidate_id":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","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, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0e43732756382149de9afc39412a091fac7563f5af9713a88ae9d64a1e841853"},"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:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bbe4aa462622ce0891a07deb1d531569398ef8aff7aff4b0870fd38c74bd01f0","rejected":{"artifact_digest":"sha256:ca8444235b5fad879a4647ef5aeaba063e87ec0fe60ad6283aa5d5c4db9d4fcf","candidate_id":"sha256:8a5a77d0c869fedb46bc0a4fc509d1d3a3ec6abbf786743046f7fa7bf75ed5d6","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 = (15, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3b6ddb8525c5107d1dec4adb72f6a05210ed256d60fa2c46540874f6a1dcf9a1"},"sample_id":"sha256:2b967e44822af1120285f7c537803a63c265790d8946783a2a71ac32c4e028ba","source_transition_ids":["sha256:1d898e910e6c6ff97b8a44c60472489e2df958ab024c0ba5cc0146094cc0f90b","sha256:0281c254d3fb31aa2e2011e80713f6383115411ee20aec8d9bc0cb55121d2196"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e0637362a85e429942b94d74fc9bf5bb1f1e04d4b30030b7ff8f82c483bd38e2","candidate_id":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","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, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0e43732756382149de9afc39412a091fac7563f5af9713a88ae9d64a1e841853"},"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:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e508363b936b9c5866301b327afd11dbfb0c2ad6b7bca5fbd392e7ed09f308e2","rejected":{"artifact_digest":"sha256:5b43bc0fcccc832bfc4ee91a095b93f5ca1213356fcec506960fbc48ec98cf9d","candidate_id":"sha256:25a31297e057c9d0e7251f629fefc8e013a87f6a6d7764e4f15e9ba1b7314480","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 = (3, 13, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d7623d563c4bd88bfc92c9700410c8064aac63189e62bdac6293a2645ff4ca5d"},"sample_id":"sha256:acbd8c8bf952f5de447862f4e265bd5b0ca760f77b9c7824c376042933c3bd95","source_transition_ids":["sha256:1d898e910e6c6ff97b8a44c60472489e2df958ab024c0ba5cc0146094cc0f90b","sha256:648dd0ae9a21d68339a5648cc8989769084bf563b485c07ece52a04e0f45efa7"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e0637362a85e429942b94d74fc9bf5bb1f1e04d4b30030b7ff8f82c483bd38e2","candidate_id":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","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, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0e43732756382149de9afc39412a091fac7563f5af9713a88ae9d64a1e841853"},"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:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0428bf6228fc063627fff85d9a8fd113f49bcf4e8d882953b17fb889021ce27e","rejected":{"artifact_digest":"sha256:f581b24f86fa246dd8e3cac7bce08424dc693e01cb0250228a320bb54a8bf3f6","candidate_id":"sha256:bd3afb84d735836254c38167d96dd87bc722b0b8892d44f31d71e6c744a05a99","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 = (11, 5, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:708204c39e3b1b776b258f149aad9b38f0c2d20db4563805d4709046c12ed5c0"},"sample_id":"sha256:3bab10244a91c204bd1957014ac3a9d6bf81d7b7dea17b6e28805b62d0d2c08f","source_transition_ids":["sha256:1d898e910e6c6ff97b8a44c60472489e2df958ab024c0ba5cc0146094cc0f90b","sha256:c3748114264d282c2cf7cb568a54959e10d53d81e46d86cc17131a54ab8d3d19"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e0637362a85e429942b94d74fc9bf5bb1f1e04d4b30030b7ff8f82c483bd38e2","candidate_id":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","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, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0e43732756382149de9afc39412a091fac7563f5af9713a88ae9d64a1e841853"},"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:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bde83e025472c7d41ed0e8a5b2e9ba571a0c530336425d444bb6ff29bb341f0d","rejected":{"artifact_digest":"sha256:05439add0b23dc26a6698b33b971d0824b17b31c0b83a6892a0e84108de4cdf0","candidate_id":"sha256:3d7c785618377026cf366b48b39455ed772b36015e1a836d32639e9681cf2bfd","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":[0,0,0,1,1,1,0,0,0,0,0,0],"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 = (11, 14, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d7b14a027c9f73a3875ab698c22fa2ff0f93674e8781ed341ca160986941d656"},"sample_id":"sha256:d19ef9f64d97533d3daf4dfc909035b66cb4018950520792c0a1b67980e748aa","source_transition_ids":["sha256:1d898e910e6c6ff97b8a44c60472489e2df958ab024c0ba5cc0146094cc0f90b","sha256:f88fd6952849bf217f8944f8568c39d68d46e3d2652b5898f36ac7aa8f32f8fc"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:38fc1bf4bc2a9653646bf5f9e2f9aed6e5762c5a90290c8fb169a6aa613f653c","candidate_id":"sha256:a1a30b04fd6b1b789bdf1a5bad45a4e867c26fa22824367c363635f7359b3e73","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, 3, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:846b493f010cc551847b84cb2a9b92b8c4ec9743240ed908f29894557a0ec2ec"},"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":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 3, 10, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:be70c38d32c038e5abe66a72303a3eeed190126b9e47340e2c9925a2adfd9d53","rejected":{"artifact_digest":"sha256:d96cf39dad01d51199d555c8eee25c304632b59813e7588a7e6d28bb256f145a","candidate_id":"sha256:31d1eaa163126e9aa1bb4353e39ee8328ff6c2cf28a52c08b0362ffb52765c06","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, 3, 14, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f86f08bb69c2b647bfd131edc7dbf4c84f2dbc8821999ba266d44ba75746a7e0"},"sample_id":"sha256:e3e2f4d76eae6d3a9083a639ac93125c1ce29c38a51e2f9f72bcc6513fc87acb","source_transition_ids":["sha256:5337ad6b6079dd05e698be826c5007298050bbda473a4cfa6b2fe5c5f3929ae1","sha256:5e681386bad910dababd8b9d3ac31812a0364300920d59fa3a0aa74d3c80480c"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:38fc1bf4bc2a9653646bf5f9e2f9aed6e5762c5a90290c8fb169a6aa613f653c","candidate_id":"sha256:a1a30b04fd6b1b789bdf1a5bad45a4e867c26fa22824367c363635f7359b3e73","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, 3, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:846b493f010cc551847b84cb2a9b92b8c4ec9743240ed908f29894557a0ec2ec"},"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":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 3, 10, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6d35d5f2b2a34281515c3cb30e2c4cd85275611662480516722a8a69a5f73043","rejected":{"artifact_digest":"sha256:0f5c903c49d8d79ed1fab236c132d2e9e2fd36105d63fa560ff2bf8564585157","candidate_id":"sha256:48ad188e424baab5c606fbc00531b013bd478607b7436c11a32fb3c87372e4fa","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":[0,0,0,1,1,1,1,1,1,0,0,0],"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 = (11, 6, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:32deb4dcc22ac309ae366aa13fcc2b448053a86bd8533f72d7add71a8c4a1749"},"sample_id":"sha256:1207907828e7da8b055f1076b9247df4bedc13b4dad3a5a7b400a0266a2bb508","source_transition_ids":["sha256:5337ad6b6079dd05e698be826c5007298050bbda473a4cfa6b2fe5c5f3929ae1","sha256:ae631d6de7eec2cac96f54ba2f10d2dceeeccc368c091b30f174a125fa90800a"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:38fc1bf4bc2a9653646bf5f9e2f9aed6e5762c5a90290c8fb169a6aa613f653c","candidate_id":"sha256:a1a30b04fd6b1b789bdf1a5bad45a4e867c26fa22824367c363635f7359b3e73","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, 3, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:846b493f010cc551847b84cb2a9b92b8c4ec9743240ed908f29894557a0ec2ec"},"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":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 3, 10, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:237183f6c2d59ce3bde5d36aa8d7050be9cc98b457b717e483a3b16374d7f98e","rejected":{"artifact_digest":"sha256:bf39e55e8ec2185153e86f25090a817b13b46800ef47fff519195c7a3342b1ad","candidate_id":"sha256:40d0b22374a68eb041f0fd745166fbf7966949235a332bbfd7e049502f83c1d2","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 = (11, 13, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f98f8a4bbe44d990cca36c2b6fdba68d14d5b51551524d522927f8d19688edd9"},"sample_id":"sha256:fd16e4cf3afd20913b748da31e13001cd78f595cf24622b57dd014039af64321","source_transition_ids":["sha256:5337ad6b6079dd05e698be826c5007298050bbda473a4cfa6b2fe5c5f3929ae1","sha256:3e41780f312d8ea786d6fec47c0d6fb26d546b1bcf5f6361ca77e6c7436ce6f6"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c844abb441aec6add7b0ab308f42feacea7127c43b626432f36c195c1cf16b11","candidate_id":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","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 = (4, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4e20772ee083410ef15a2e7b8a8be2b1c66983d6837e41247194d71ae89de9ac"},"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:b923383f315bbd2d8989a1a25ad5245b5cf0b9f4e3f842e7695a1b4c9babfee8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -1, -1, -1, 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":"sha256:10666a96c70f4517d8859a1c05b15ea5eb16db87a15a79975c83dfb8de9f7f0e","rejected":{"artifact_digest":"sha256:dafbe1b614cf0755c0a822603b153de25d33cc49e16d2404d38ac5f7bbf26419","candidate_id":"sha256:e7a35658663f29ca5f67e480231e9f435dd8b92a1405d328749e3f6a13f1202c","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"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 = (-7, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8130f60895fd30c68edd63581cb125ed592474f10e22ae21203fe5ecf38307fb"},"sample_id":"sha256:a95552a3141ab5580aa5fc61b09f71ab723b2af4d0e234d3b2d43889614bd56f","source_transition_ids":["sha256:189120c73c823c85423d62f03b8166ea3bcc15b94cbd2293228053a736474fc1","sha256:660522170ff62dd7ab32f17c1f40685b2a5d878b479983e1f8c1ef0a202e1f33"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c844abb441aec6add7b0ab308f42feacea7127c43b626432f36c195c1cf16b11","candidate_id":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","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 = (4, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4e20772ee083410ef15a2e7b8a8be2b1c66983d6837e41247194d71ae89de9ac"},"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:b923383f315bbd2d8989a1a25ad5245b5cf0b9f4e3f842e7695a1b4c9babfee8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -1, -1, -1, 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:dd03c49802b30eed7224f4a403be8cd1acd15a55184443d7cd0ca43df7cfc078","rejected":{"artifact_digest":"sha256:c8ad06f3fd1ec0226853f4bc8133f6355c467aaacb047bf8e7f0fce357fe124c","candidate_id":"sha256:b965a0cc6b248161b280d86665b1238e90b798f895bf7de5ae00a31e09d0b623","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 = (-3, -1, -2, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:6ca1f0885912f1b82098a233caee37db2dc1cba3bf97ff9e7b93112d709ce1a4"},"sample_id":"sha256:d21b4318b0e4d5f37172e6f2836bc02967ee61971d9a780ffdc4ab0d9579de05","source_transition_ids":["sha256:189120c73c823c85423d62f03b8166ea3bcc15b94cbd2293228053a736474fc1","sha256:52074adfe5dfccf85bf9bc80169ab9a41b0788824b6abe5788e2f9aa54898607"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c844abb441aec6add7b0ab308f42feacea7127c43b626432f36c195c1cf16b11","candidate_id":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","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 = (4, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4e20772ee083410ef15a2e7b8a8be2b1c66983d6837e41247194d71ae89de9ac"},"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:b923383f315bbd2d8989a1a25ad5245b5cf0b9f4e3f842e7695a1b4c9babfee8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -1, -1, -1, 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":"sha256:63dbbafee14b08cd1abedaf0e0e49b1ae05fc4aa91fe04632ae48db6662551d0","rejected":{"artifact_digest":"sha256:a053b4fd8c416db60f5a995ea1a84448327a3ebae0f18c819f6a072e5dd93556","candidate_id":"sha256:54403ddf2144fa1507c6087eb2dd64e12b87771f2c084fd2c3719be6fd56b816","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 = (4, -1, -6, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:91ebf49b8e2d0c54eafe2fa6c465596ded17335863e9e3d04188c98a46c044fd"},"sample_id":"sha256:10714b793f1f806c73bd8db637c5c6c92692eb05b0d1bcae608ddc53416b0c42","source_transition_ids":["sha256:189120c73c823c85423d62f03b8166ea3bcc15b94cbd2293228053a736474fc1","sha256:f274941bf8cd5ed43c8ecc99b0789dd16636a2c88210382ea4d154a3d54d5d85"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c844abb441aec6add7b0ab308f42feacea7127c43b626432f36c195c1cf16b11","candidate_id":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","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 = (4, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4e20772ee083410ef15a2e7b8a8be2b1c66983d6837e41247194d71ae89de9ac"},"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:b923383f315bbd2d8989a1a25ad5245b5cf0b9f4e3f842e7695a1b4c9babfee8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -1, -1, -1, 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":"sha256:5769332f9ba576e8efc8339f7f970440ce6f246fa966f6675e18df4228ee5a81","rejected":{"artifact_digest":"sha256:4f20d10b08f2f600f901574d1af9c22361ffb4fcf0e96a1bc5e43319239d182c","candidate_id":"sha256:c0c7fdfce3571532afab40d975c0718a70f49a17f04de9e9b1ce59550745ddb1","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"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, -1, 6, -1, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:44ed13d6bac7c2a47f0e3a4a801134fdfa85685b87ddb2eadc81fd8228145c39"},"sample_id":"sha256:a5af462d6209804cb80a0d3454044505fa8c7bd23c038137706dd78d9fac425f","source_transition_ids":["sha256:189120c73c823c85423d62f03b8166ea3bcc15b94cbd2293228053a736474fc1","sha256:55a53cf2450a9733bf31e6fd077496fcd91385a551390241895f2d84e17cfab5"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:612b25d3e0fd73ccc1189d3922060c82ad833fbe03941c5804009188539dd81a","candidate_id":"sha256:6b47517328af892c4a83b1d0648fa79015df612405446da3bc3581eaaa5a61a9","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, -1, -1, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:cc92028a1a73c50586c132b3174405837b54949c2c827511fa9a1c89f070eb16"},"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":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, -1, -1, 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":"sha256:7d1ed21a4048a09d2c76211fcd87b76fbdfe1c9c63fddbaa13e3a575a5a95e95","rejected":{"artifact_digest":"sha256:e1c02b970233b058b49a0332c966ec8eee9617dc581fa24f37e3022d0a6b3345","candidate_id":"sha256:6ee41d7567000c3c58fde6d9528dbf901439dd9c003033f3731e7598bd144913","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 = (4, -1, -1, -1, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ef3599926733228fd6767635398744e11f3213026b42023e54bcb8c78b924f14"},"sample_id":"sha256:544e5bdb531ee03dd851ef8474ca4b38b436cfdc74009d370547f54f5ec64764","source_transition_ids":["sha256:a4df4f33c1ca80173639912bcb63ba0db9222f1a371f0c76eb428db363e652ce","sha256:2a68e6e4b43b57681607bdda0c62faae0d75a1c134ad37205e1be447acec6c05"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:612b25d3e0fd73ccc1189d3922060c82ad833fbe03941c5804009188539dd81a","candidate_id":"sha256:6b47517328af892c4a83b1d0648fa79015df612405446da3bc3581eaaa5a61a9","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, -1, -1, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:cc92028a1a73c50586c132b3174405837b54949c2c827511fa9a1c89f070eb16"},"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":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, -1, -1, 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":"sha256:5a0698076e55b520022c95dbe6887d70945dbc8ce0b62815013d41de38f4b4b2","rejected":{"artifact_digest":"sha256:48ef7eb004258f8172c6cb2661d5b45dea5e25c4db11597ec26800e0116b8f67","candidate_id":"sha256:3d15976b17d671d5fce0bc1cdff53120b799c8864fd513c2fd09e82bf01752dd","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"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 = (4, 5, -1, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ab67a374fbb9dd65851a5b02fd0b1ecc9c07284b9fdbb365566a2b164da4a17d"},"sample_id":"sha256:f4b83f28ad5f662533e3e4dde07919c2a45ebf9ab5bd2b4690bedd9c86050e62","source_transition_ids":["sha256:a4df4f33c1ca80173639912bcb63ba0db9222f1a371f0c76eb428db363e652ce","sha256:5c77ebff371e1234c33f9ef323b8da3bdbd7d88cf48824852a59dc90da2e84df"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:612b25d3e0fd73ccc1189d3922060c82ad833fbe03941c5804009188539dd81a","candidate_id":"sha256:6b47517328af892c4a83b1d0648fa79015df612405446da3bc3581eaaa5a61a9","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, -1, -1, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:cc92028a1a73c50586c132b3174405837b54949c2c827511fa9a1c89f070eb16"},"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":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, -1, -1, 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":"sha256:53e46986038a9c0a0d75794d1a49f29880f163f2d6978281043cfcb1f1c5237c","rejected":{"artifact_digest":"sha256:dcd7428105df7e7e566010057d45b9f0ed9c188adbce5c58675e9c1423853d01","candidate_id":"sha256:5fc1418d64e3b8e1eb583a6abf897a2542fccd51f987b4ac809c45a300457b0a","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 = (4, -5, -1, -1, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:55169cd9182301e31eecdd5f0559df077bc6988ff9c0999265bde6d9774cd19f"},"sample_id":"sha256:6d5eff3df84192631938349aff717fbfdf2a10991aa67e6aec6ca8d1deb2732b","source_transition_ids":["sha256:a4df4f33c1ca80173639912bcb63ba0db9222f1a371f0c76eb428db363e652ce","sha256:1d21fce2c9fe73b13baf5f70f5e8223eb26fc9f8eb3322c96796182256f947aa"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7cfd9caf00c316c0820502a90606301ff2f6885dee08af9628cb81927078b0be","candidate_id":"sha256:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","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 = (-1, 7, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7a8f6f796ac7d9d6f0e153ff387e15c7e73a242a2685e67f04d5abf6806e38cf"},"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":"sha256:30836220a1cf4f7293a4384f633de5c164824b05cc26dc5aa1a9c742d0d3795a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 7, -4, -2, 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_003\", \"lookup_delta.protected.case_004\", \"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":"sha256:8af70b3e464af53d9a5d9a4523b6f33280baf955b774a1e31182efe32a8d0a71","rejected":{"artifact_digest":"sha256:ba74027d2e5fb8defd90bc55b7aac804b7f1b4d016443fa96a6ab844c0ccbb1b","candidate_id":"sha256:e1a63b86b3be94aeca6db1244ff68f6f2a1d4b1ac0d89137ede78b8edad54445","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":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"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 = (-1, 7, 1, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a46633a95599bc95c0ff5b4607b4378537415ebf745a554af67f544907f6bf29"},"sample_id":"sha256:2352228c1eecc0cf43ae53ecdbe2d660ae2fd98bc8ff2b23aed9e341c86842bd","source_transition_ids":["sha256:eda500c40727594685e5a1857ae79ce9ce9c190bf6516d42da3b32e71d7ca8dd","sha256:9b147463d3e6f2bcc3320d3e1309ea390f14447d80fe94484f5061b05683fc5f"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7cfd9caf00c316c0820502a90606301ff2f6885dee08af9628cb81927078b0be","candidate_id":"sha256:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","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 = (-1, 7, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7a8f6f796ac7d9d6f0e153ff387e15c7e73a242a2685e67f04d5abf6806e38cf"},"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":"sha256:30836220a1cf4f7293a4384f633de5c164824b05cc26dc5aa1a9c742d0d3795a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 7, -4, -2, 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_003\", \"lookup_delta.protected.case_004\", \"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":"sha256:1be841f952aa5aefe60c522a8741884bb33b1744dcd39a73ef60ea7dbde41f2f","rejected":{"artifact_digest":"sha256:75b7b514d0b1d7d2b010b54863b9559caeef9a069d094b41349a4577b98504d5","candidate_id":"sha256:deccc08a082f72de390149d71c20af81fab43a49bd69dc006f2eec4bf77c45fc","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":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"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 = (-1, 7, 7, 6, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:26f9d6c46530dded625b6385a681e031a713ec4120a90c37aea0c423fa29904f"},"sample_id":"sha256:e742c1e7586f90d7172b4a991a7daf34342d19e766faad19d0686f5b9b0ead91","source_transition_ids":["sha256:eda500c40727594685e5a1857ae79ce9ce9c190bf6516d42da3b32e71d7ca8dd","sha256:223efa2255abb9042032d0da68077740db1c2bdc3bf8647a86d707b1fd22805c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7cfd9caf00c316c0820502a90606301ff2f6885dee08af9628cb81927078b0be","candidate_id":"sha256:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","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 = (-1, 7, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7a8f6f796ac7d9d6f0e153ff387e15c7e73a242a2685e67f04d5abf6806e38cf"},"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":"sha256:30836220a1cf4f7293a4384f633de5c164824b05cc26dc5aa1a9c742d0d3795a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 7, -4, -2, 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_003\", \"lookup_delta.protected.case_004\", \"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":"sha256:717d0bbfe15bb389d02435a18b98033accddc91c232949423a0e95e63cdcc767","rejected":{"artifact_digest":"sha256:0f0b295e7a5c50d9ab033b455a9eb78cec70a00edf3166a94117330fc457df0b","candidate_id":"sha256:2ce1d0eadbeb5092a216adcf50d6037abc572d6f56c35036d692f09edf41a270","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, 7, 0, 4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c0be7599d1504ca9403efb5fc77a6b7afbc0b3678f4b3e66f1eb487d09789530"},"sample_id":"sha256:a4dc57d5449deab3b0958f5f55d080c67c61062e7847e88337ab8944ffe1982d","source_transition_ids":["sha256:eda500c40727594685e5a1857ae79ce9ce9c190bf6516d42da3b32e71d7ca8dd","sha256:4bc0a33dc09ed3eee87e0ffd319048c39ca01a6ed2b18d3f52a1b24476ddc39a"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7cfd9caf00c316c0820502a90606301ff2f6885dee08af9628cb81927078b0be","candidate_id":"sha256:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","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 = (-1, 7, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7a8f6f796ac7d9d6f0e153ff387e15c7e73a242a2685e67f04d5abf6806e38cf"},"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":"sha256:30836220a1cf4f7293a4384f633de5c164824b05cc26dc5aa1a9c742d0d3795a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 7, -4, -2, 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_003\", \"lookup_delta.protected.case_004\", \"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":"sha256:8ef239cc1edcea823707c581f73b6da49f0570d3529e886ef6c4968debd69c07","rejected":{"artifact_digest":"sha256:226f7fbddf5e8f962f24d48205ba2f38a1d37fc1c353967eabd0daa18e942d5c","candidate_id":"sha256:60a149c606361bd64a6a74eac0bda4779e3ffb8bdec506b121b5862be4abd404","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 = (-1, 4, 0, -1, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:99a86fea5c4c0d37e8e641c92dbe3b2533dc4b5345d16a6e991d0d662380e262"},"sample_id":"sha256:8e66bafe0342aa1949422eaa04f1e74eb6e6e7f14073ad7713ee3ac080571b93","source_transition_ids":["sha256:eda500c40727594685e5a1857ae79ce9ce9c190bf6516d42da3b32e71d7ca8dd","sha256:77c8c3254547d52966bcdd34cf85fd2ab1d88b14afae6b4ee47f09e8ab829e7c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1fb85f699a7993c9585a925b368402ae1075d73ccd6cfaba7b01143721b458ca","candidate_id":"sha256:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","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 = (-1, 4, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:38f03ecb7904918fb1202c2bd53de1b51b461c55d7603f891f701194593eaad9"},"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:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 0, -4, -2, 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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cc3c8ed3776f9ca300e9ce51ed2aece847d91ea9d6745eb1cf4ec6638f556b07","rejected":{"artifact_digest":"sha256:06fd9853cfda70f4aac4705753c74f0e64b5618f4f992308e5068f27dfd554e5","candidate_id":"sha256:a28c5af714979b52fe12eede312889209ea5c1a37a397c28be4ee0c487858da6","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"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 = (-1, -8, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:647b7dd056c9c3125f75e5a5cc1f2fdad4b29551333e44b1cb9ff86fbd88af24"},"sample_id":"sha256:31eea310854d1f071eac46b0bd9046cf521ba0e8232711de6d11f2bda76c386b","source_transition_ids":["sha256:d4697ba8558044af8f0a1c91dce7572886e042050369a185136b032c8e3e8cba","sha256:814913aad2da8557e4d588f8980aa0b4f8abc0d06d7f24fa0a0cb2ce0aed2156"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1fb85f699a7993c9585a925b368402ae1075d73ccd6cfaba7b01143721b458ca","candidate_id":"sha256:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","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 = (-1, 4, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:38f03ecb7904918fb1202c2bd53de1b51b461c55d7603f891f701194593eaad9"},"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:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 0, -4, -2, 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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e61352a9fbb86cc21f78918c90182ada6f65c71bba2d203ed1e1165fa93067f7","rejected":{"artifact_digest":"sha256:a109b1774a2b9965e8926134c194079c9ec4356a26c60859bbece7ce571238f7","candidate_id":"sha256:051991105c23ce99f02aff10b59bddfc85f612f7b6604d652fd5b7679466d488","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"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, 7, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:33132cb31ad96803e124138f890f9a8c58a5b84a758d00d972b504994f09abbb"},"sample_id":"sha256:82b63274d0a68ac036b688b56d36cb92d4a39dee5a09c5c24ed10b1b2245bd5f","source_transition_ids":["sha256:d4697ba8558044af8f0a1c91dce7572886e042050369a185136b032c8e3e8cba","sha256:3da591dec3913c0a852a4e752e74e9e8788f796e141adc6fdfae3d31eddf0e1b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1fb85f699a7993c9585a925b368402ae1075d73ccd6cfaba7b01143721b458ca","candidate_id":"sha256:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","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 = (-1, 4, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:38f03ecb7904918fb1202c2bd53de1b51b461c55d7603f891f701194593eaad9"},"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:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 0, -4, -2, 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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:32e99f7a0262dabe8cfa15b3dae3597db76f0049af529ecce4e10ad01b05d0fc","rejected":{"artifact_digest":"sha256:5cfc75e0c100f9b95a4ecfde6e676fa648e2d1351824af6c4446c1701bb337a3","candidate_id":"sha256:84687d49c29403c64b5b88e3183a60072ed2fa0a015c4f44381fee4bd9ce712a","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 = (3, 4, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:9447679976793d8d9f33b2dc28091835e49a8dc54dfc175626a5852f736f0773"},"sample_id":"sha256:1bbf1c578102648c90d086c2d4a0633f0dc78a66a7627583d31ee3491e486825","source_transition_ids":["sha256:d4697ba8558044af8f0a1c91dce7572886e042050369a185136b032c8e3e8cba","sha256:3819b5ad1713bc7718ca3639fa8e687a61406d0c79741145abfd74437317089d"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1fb85f699a7993c9585a925b368402ae1075d73ccd6cfaba7b01143721b458ca","candidate_id":"sha256:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","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 = (-1, 4, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:38f03ecb7904918fb1202c2bd53de1b51b461c55d7603f891f701194593eaad9"},"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:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 0, -4, -2, 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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9bad3c13b2e2b1c018678c122f53f80b3eb5d8d03080f9f8bd51e05559cc359b","rejected":{"artifact_digest":"sha256:d2f5368d9636f3d04f1d431406817fe3b2c64a05d3276ff5b9b5807e4ba22b00","candidate_id":"sha256:e03d52e3ea8278f6ab1f8d40c3f65bbe0c726099bb47b64bb78ecbcf1c89fb46","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"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 = (-2, 4, 0, -4, 1, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c03eb438aa0bc8b9ed7d0a2fdb00bf62a6982d48378ba65588c4fa4f88180b28"},"sample_id":"sha256:1914458e8768e13754343a08367d119ae1f7e23f5ed0d52f57d68bbdf57320bd","source_transition_ids":["sha256:d4697ba8558044af8f0a1c91dce7572886e042050369a185136b032c8e3e8cba","sha256:df87ce6cabd5204a892b3ef6242e3be6b30fc9db5c2054daa0b180ffceab5de5"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:aadc200f84056e34291e0c725902dce4030b74b788afbfbb2b77da5bd6444575","candidate_id":"sha256:82af04b2d7c833658f7e1bbf340470aeb875ddc57492d83b6124c0f00d49e6ed","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, 4, 0, -4, 1, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5cc31d83a7baeac863465a105dd27b7739c47cf9be0bcb41ffa433b0db4823ab"},"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:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 4, 0, -4, -2, 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:f9e1b8c8ffc52a323219c425d96d5a1d34078201724bbe98bf3602c63f3f6c79","rejected":{"artifact_digest":"sha256:2dfb6767119848253633a8f8fbb527a0adde1f820209ed5e0cc40a733ce4ac6f","candidate_id":"sha256:06e4c0c13e7f3e059cea67f510f5b701c1ac9173b189bbc07a4d5ddb089a2b29","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 = (-1, 4, 0, -4, 8, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ac9054b0f0700388bed0ca9a47fd28e06092d9f6650b1999d97241ee33e79cff"},"sample_id":"sha256:4a37a33b242ec1d2d86b0478a573d33ee05a0c48b2eac3ef7ba4959851d63052","source_transition_ids":["sha256:26051b71948c2965f5f33ddb3107046af82d64ec0f87afc31407aa44c066120b","sha256:738c577e0c34c2e59709302acf3527a0615bdc3d22c80e8669eb1e569c475a43"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:aadc200f84056e34291e0c725902dce4030b74b788afbfbb2b77da5bd6444575","candidate_id":"sha256:82af04b2d7c833658f7e1bbf340470aeb875ddc57492d83b6124c0f00d49e6ed","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, 4, 0, -4, 1, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5cc31d83a7baeac863465a105dd27b7739c47cf9be0bcb41ffa433b0db4823ab"},"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:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 4, 0, -4, -2, 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":"sha256:66542ff37bb0aa9a69c66d8c7186ddd7a154ad11ef96d37fbdc05e50cbc68ea0","rejected":{"artifact_digest":"sha256:86ca2ce812226976e46f8a6d01aaaddf9b55dbd06e56b16636931af417380c34","candidate_id":"sha256:c5dea252d8f661daa5fb4b5750d3a438a751a26908b2b1492856aa9f496d1c71","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-1, 4, 0, -4, -2, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:75b19a1438768cda04b4e603ee95ba1d5c9e091498dcc84818e5981b64cb2664"},"sample_id":"sha256:9407a6906ba257a508737927e3d46634657bb0158ca91e805851ecb7158bfc92","source_transition_ids":["sha256:26051b71948c2965f5f33ddb3107046af82d64ec0f87afc31407aa44c066120b","sha256:993cf181ca3bbd5e9f0767daddf9ed64b35d9db82089d72c4ed67f226f022f2e"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:aadc200f84056e34291e0c725902dce4030b74b788afbfbb2b77da5bd6444575","candidate_id":"sha256:82af04b2d7c833658f7e1bbf340470aeb875ddc57492d83b6124c0f00d49e6ed","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, 4, 0, -4, 1, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5cc31d83a7baeac863465a105dd27b7739c47cf9be0bcb41ffa433b0db4823ab"},"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:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 4, 0, -4, -2, 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":"sha256:9d6e698797d2723f27c6828bcd1a41599d3e103d0d311a82d09b82a073f5fbec","rejected":{"artifact_digest":"sha256:46874129691e02184ac95eb6da87e4148e55fbf6519d3a3efa5528583fcf26bc","candidate_id":"sha256:47f6c65875cecc35d26d202e67ded9140170bf1b43ea8ff16cfdc4cc4ecafb4f","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 = (-1, 4, 0, -4, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8ce26e2b86dda300db765abca107eb3243dfee0dd317a4a97354c69ff9d0ba5a"},"sample_id":"sha256:bf871c5f546a20ca3a07137736908e59dd2ecabbcb2c19a0cd8a2093a6f51d87","source_transition_ids":["sha256:26051b71948c2965f5f33ddb3107046af82d64ec0f87afc31407aa44c066120b","sha256:e272badb6fbc3ca719f8c079208f96afc05bebe4df5a0e0c50a1fdcffe6b9173"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:46cf3358a69216459e1480283f1cd64b8c0a9a563a0eec6addce59b624ec4ab9","candidate_id":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","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, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:453a4c54a0226b45cf07109cd30d9a77c657673b2b648c429816d7c9a63ea1b0"},"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:aa7715554672f9e2e986a7c523aed0e1cfd4b6309f158a550645c619565f5102","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 5, 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:d843dcd36bf56e57096fc5bddc8f709fb01928369db1c55002c2a9f753d2e8bd","rejected":{"artifact_digest":"sha256:6a46980de55932b0d5b97a6ce6c1c4c356a20523c8d9c6b0e982c3e541c1f0b8","candidate_id":"sha256:8d167b2c4f411bcc949b4264b553566e15414b212a29a4d845d2da3c08b1a15e","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":[1,1,1,1,1,1,1,1,1,0,0,0],"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, 4, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e7014fdaf55eca69ba6d67760d9e361d43c070fe867efae50d4ce4152d772468"},"sample_id":"sha256:d16d5df5437db12ff95ea4531627c213dca46f76083eebb73886e21c92d3e3eb","source_transition_ids":["sha256:28eca1e9f916d3af1613ad65c00b73d3c93f07309b3f80e80298a3425b2b9104","sha256:204502189b070455bbcd3cb22fa284cb897ef23c224086ec9b11bbb695f9279f"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:46cf3358a69216459e1480283f1cd64b8c0a9a563a0eec6addce59b624ec4ab9","candidate_id":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","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, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:453a4c54a0226b45cf07109cd30d9a77c657673b2b648c429816d7c9a63ea1b0"},"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:aa7715554672f9e2e986a7c523aed0e1cfd4b6309f158a550645c619565f5102","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 5, 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":"sha256:614629931c34623eb0b4d7e19f80c2e70a7222cc76299e577ecdceac7ec2a89e","rejected":{"artifact_digest":"sha256:e9896c1cd5c0d265ecb6e02c9c127e58cabbb42ed0a9a1697dcc5156bc3c8825","candidate_id":"sha256:2041cb2770f46df41e06f8ba89e13d77f5bb0830e17763793100ba53c11fe786","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, 5, 1, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5b6e9f204ac47889c780caa983197685acc5bbe4d524e7624983eceabf26f958"},"sample_id":"sha256:c0d95efb2367c636a6b48fadf4afae9b8506c0a4d501d6fbaedded4f793f3149","source_transition_ids":["sha256:28eca1e9f916d3af1613ad65c00b73d3c93f07309b3f80e80298a3425b2b9104","sha256:43b43bd9837bbafa20af4a2dee5f04b547be41087d919d8e68006e8af42b4995"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:46cf3358a69216459e1480283f1cd64b8c0a9a563a0eec6addce59b624ec4ab9","candidate_id":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","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, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:453a4c54a0226b45cf07109cd30d9a77c657673b2b648c429816d7c9a63ea1b0"},"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:aa7715554672f9e2e986a7c523aed0e1cfd4b6309f158a550645c619565f5102","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 5, 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:cf7e63161993dad7f3b034c3db84e828300455019265be56fbf143026bc3b5ff","rejected":{"artifact_digest":"sha256:7aafd5d36b51264ffd44efa5d9ef802242aa6cc55084d195079421f93163b6aa","candidate_id":"sha256:69a4dbf81564232eec6ac03166dbb4bc35333294de21b332983cde8e4fa40e80","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 = (4, 3, 1, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:cfbdb5cfa56addecef3439124ff32536b66d209c1606f57ccca36c16ff9f2d1c"},"sample_id":"sha256:7ce975ebc09461a6339948f2092ca1d3793b98626ee98f630dd94584935eb685","source_transition_ids":["sha256:28eca1e9f916d3af1613ad65c00b73d3c93f07309b3f80e80298a3425b2b9104","sha256:bae08e05398577b27b941a1584377fa4b5994787961b3f7d80440d00ffc6ff0c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:46cf3358a69216459e1480283f1cd64b8c0a9a563a0eec6addce59b624ec4ab9","candidate_id":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","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, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:453a4c54a0226b45cf07109cd30d9a77c657673b2b648c429816d7c9a63ea1b0"},"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:aa7715554672f9e2e986a7c523aed0e1cfd4b6309f158a550645c619565f5102","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 5, 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":"sha256:061ea2ba517f9bcbb647e415aab04e4380f4ec534833150ea640901db2f9ac28","rejected":{"artifact_digest":"sha256:a22e99c313a34831d927b95a7f8a6dcd7650309d21e05b62b6c690b84cae089e","candidate_id":"sha256:f36ec37d93c270fd5e675691cf0925cb6a8adc78c66c0acc61c06992517d69ef","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 = (5, 3, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:61ce14302f0d2e65bbd217837ff356337aa30780a5730ef17fbf5fca26c7dc5b"},"sample_id":"sha256:d418fbfd09080e5f6b0a8417dab985aa30e71560068245fd6d455abadc83c2e2","source_transition_ids":["sha256:28eca1e9f916d3af1613ad65c00b73d3c93f07309b3f80e80298a3425b2b9104","sha256:be86f8e8b2330edc34b75286316b7b35e435bb74dc37c6abc5e639b0006e223c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:dd9b87a44389a797afe503eca295abcd3ff4677564589b0b7a43175921391a2b","candidate_id":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","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, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dca2d78d7b2664c7338267dea9c7541aa5bcabbd41d6b5eac6d4f18ec1ae304e"},"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":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 3, 1, 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_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7dff556bd99025229e71b9d07c21efb3bb9b310af4c2f5d47a67e3eb13a72a00","rejected":{"artifact_digest":"sha256:4fd0244809b7a23c211d8a70027c13f70ca79d3e7e8713bc0e78964561a20138","candidate_id":"sha256:680f48950dca25b5a31fd48e27f9ea03b91aad6060e5d6a5d0ec13c1c23a0f20","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, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:652d5e96b546b937db28a09277a02fcb046c751c931de4af823c8f6dcbf35fa7"},"sample_id":"sha256:1939314260a5f85eb3d9f232b7b4d7bb0a4fda5fd33e36ed475d2c434c6927a4","source_transition_ids":["sha256:c52a0120219366b3c38bed320d7ad47d80bce43b3ba65d94e5fe884633c20983","sha256:ca4dae61e5a3e64772a95f3de8a5a9db4513c3b23497a94be50cb73bba3e4b0b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:dd9b87a44389a797afe503eca295abcd3ff4677564589b0b7a43175921391a2b","candidate_id":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","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, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dca2d78d7b2664c7338267dea9c7541aa5bcabbd41d6b5eac6d4f18ec1ae304e"},"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":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 3, 1, 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_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1e87ca354a5846229e8d0eab08b466e2ba40102f6a6e7b8790db34686b396fda","rejected":{"artifact_digest":"sha256:d14fd157760dfde3350424429143a70bfb67c6cc3d138c15b32e8d530b5fbcb3","candidate_id":"sha256:457265eac81978ce50469958f6fb87b77d9f1403b277cacd925491d55ee595bb","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, 3, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4b86bd88cf59cc661818d43939f428ea733253c27abdbc750d832d7188e05f80"},"sample_id":"sha256:ca59220d56e917fd586c48b0762dac17aa0606bcab1c6f3c9fb5a4940939eb2a","source_transition_ids":["sha256:c52a0120219366b3c38bed320d7ad47d80bce43b3ba65d94e5fe884633c20983","sha256:03d72ce56ac84d67fd43dcfc7e81cd423230e657437e77234a1b724cc69a55fe"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:dd9b87a44389a797afe503eca295abcd3ff4677564589b0b7a43175921391a2b","candidate_id":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","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, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dca2d78d7b2664c7338267dea9c7541aa5bcabbd41d6b5eac6d4f18ec1ae304e"},"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":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 3, 1, 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_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a6c71ef020dc20da28d61c3b5e74cdacfc37155ee164ce1bae6aa27dcbb32320","rejected":{"artifact_digest":"sha256:a4e6027fd3c25d3e7b2449ebc06a4bf110ab815564316cf27ce8392edd1fc3a5","candidate_id":"sha256:12c644c70fcbf85a1b2dd1a7d038c1bf5d4d923b560631e6d8a1f804a7dbc8d3","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":[0,0,0,0,0,0,1,1,1,1,1,1],"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, 3, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:28f7aa8604f43f77f58f8a76fee152bb3acdd2bf3dfe6df37067b7d5b6cc89c0"},"sample_id":"sha256:4117dcaa3eb5f25423b6564bf3cbd9b3cae99c16fe5f7dab26cb7358eae3d9e7","source_transition_ids":["sha256:c52a0120219366b3c38bed320d7ad47d80bce43b3ba65d94e5fe884633c20983","sha256:e86d6c4d029c77cdd2cd75af0676db10ec9bd1c92146b3d9d9f851e282f29077"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:dd9b87a44389a797afe503eca295abcd3ff4677564589b0b7a43175921391a2b","candidate_id":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","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, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dca2d78d7b2664c7338267dea9c7541aa5bcabbd41d6b5eac6d4f18ec1ae304e"},"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":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 3, 1, 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_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:07a4db7cfef8fba5405316a4c4b3d216301b4228e5b3acfd7c693e8dcd83fc77","rejected":{"artifact_digest":"sha256:55268bb61a15b6d1366c06a55ec2362c39af63a58ef93dfafe6b0b1223ae2648","candidate_id":"sha256:0d913fb1f9cfbd8ef583e11893e31a823a05e2f085aa249bc0d07cf23f5658cc","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, 3, 6, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:94caf42142fab0da1108e1c3315f8673b10cea7bd9c4da6613e69e8e3c8da0b9"},"sample_id":"sha256:637dd4eb501a434ee5ef0b9980d08e5b331dc0462e7ae893331f2a11e165c15a","source_transition_ids":["sha256:c52a0120219366b3c38bed320d7ad47d80bce43b3ba65d94e5fe884633c20983","sha256:9a9fdfac7b1518da3c56d9e7d56e8f10d395efb2493f636ce6bdb2e4f0fed784"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:8a10e9c7e4b26a41ca05bb52eae73c1f67f0faac906ab85019da3907c1a25918","candidate_id":"sha256:74553d4c841b5931592b5fad736330ef5c5d6d38c62ac0cee50095ecd0fec372","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, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4e993c3ad70eaa80d1fdf258f0d40874a8c0b986076ac17075bf7c612fd2da41"},"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":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 1, 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":"sha256:269a547b43ba49d089cb6e0ec13ef440aaa77a32ed48ddbe09c109254fcd217a","rejected":{"artifact_digest":"sha256:cec7ee48632d6b511ab53f34a09314341c5e2541e59f63a9e6aa121a565c2f46","candidate_id":"sha256:ec26e83767fe3efa10d58fadc996e574ccbb1e89786bde26a67a3395a72c2c87","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, 3, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b1b8aa9ef95637f1dbaba6767bffecd0516603fc42350f64c4936c1d450d49cc"},"sample_id":"sha256:cdd790a66777a15125d9cc907a042c6e643d88775c5e86933be0c04bf821601d","source_transition_ids":["sha256:1a38b4c8ffdae9aac834415825d1d48a917de809bc82366e260fcd40f3d4ed9b","sha256:81a98035c03042cf698d42b9a718d416f3e7512572a34306e9c6ddfbb8be85f8"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:8a10e9c7e4b26a41ca05bb52eae73c1f67f0faac906ab85019da3907c1a25918","candidate_id":"sha256:74553d4c841b5931592b5fad736330ef5c5d6d38c62ac0cee50095ecd0fec372","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, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4e993c3ad70eaa80d1fdf258f0d40874a8c0b986076ac17075bf7c612fd2da41"},"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":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 1, 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":"sha256:819ebc2fde9cb0d100ac8c7ef7e3d9e1425b611d7d38988f51748e17d858f0ce","rejected":{"artifact_digest":"sha256:a22e99c313a34831d927b95a7f8a6dcd7650309d21e05b62b6c690b84cae089e","candidate_id":"sha256:f36ec37d93c270fd5e675691cf0925cb6a8adc78c66c0acc61c06992517d69ef","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 = (5, 3, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:61ce14302f0d2e65bbd217837ff356337aa30780a5730ef17fbf5fca26c7dc5b"},"sample_id":"sha256:e14c2505008a3eefbc7fa523b5b68b289fb67dcbe821be7e027763670a60b542","source_transition_ids":["sha256:1a38b4c8ffdae9aac834415825d1d48a917de809bc82366e260fcd40f3d4ed9b","sha256:e37c799e2908e32f2a83fe4d5cb84dd5dc9dae4d57a9b2401439e97f58aca15c"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:8a10e9c7e4b26a41ca05bb52eae73c1f67f0faac906ab85019da3907c1a25918","candidate_id":"sha256:74553d4c841b5931592b5fad736330ef5c5d6d38c62ac0cee50095ecd0fec372","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, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4e993c3ad70eaa80d1fdf258f0d40874a8c0b986076ac17075bf7c612fd2da41"},"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":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 1, 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:f9c7392efac16b4b1867bdb9b982446d3101d45b2e324e8df5e3d92efc7f9dca","rejected":{"artifact_digest":"sha256:ae95eebb048b5b2cb76fbd3ff222142986a95b8ec9986cb1e22c8a691a1dea7c","candidate_id":"sha256:9206d50879c5a5fc7fc1c92f75d5a840f74ae1842f4d790e0d8451a12dd0ea76","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":[0,0,0,0,0,0,0,0,0,1,1,1],"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, 3, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3a40479407ec7369c5f1cf5bd0ee271606f1fa52327f8144b8eab38e5ff55882"},"sample_id":"sha256:9910f65d0275a50d156b51166ed2b63671858af450b639a443e57057c40ecd59","source_transition_ids":["sha256:1a38b4c8ffdae9aac834415825d1d48a917de809bc82366e260fcd40f3d4ed9b","sha256:70f087ec1658c33a7c8aaf304ce39a5bf0d80dd134febe4174e773475aa27207"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:f214c01b2285b093e641a5980896eecd29f7daec5b3eca72ba8a57dd55fa85b9","candidate_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (6, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4dd5ecef7aae8a1405b6626195324d33b31f63f4c446c511db2edb6b7be9c3c6"},"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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:07a605d322b3d18dcd4bab1974304f705f92d80858cb71cf91628fd676c3a40b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, 4, -4, -6, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_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":"sha256:5bf8b0bd6e2796c26eff0b4c8ac7c64b0560f3ed963c229665ce1dd64a4013ce","rejected":{"artifact_digest":"sha256:40b48d60da34e3f23d994e48cacbb672ee416aaf1915c8affaa041cfff118646","candidate_id":"sha256:4a2fcef8fc28037c3f99796f62a8e733263eb1588c52cf3c33fb4b754603a20f","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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"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 = (-7, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ff96a4109256793f53a1a2b39d76a7dac985a6541e63f15ef9a62f14d45dbbfb"},"sample_id":"sha256:ded49cb66e0bf6c1a92c845db8e7c0b390c1a2b57129f14fdd6f6e45f8175618","source_transition_ids":["sha256:c06806a4a9ad933d47e4d2b23d3a95f5f4844eb29c2c442c76edfba85125cfbc","sha256:fe73ef98cb6147c90cc358358c0a46360d3ad4dbf529277b0eaed063688fd3a8"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:f214c01b2285b093e641a5980896eecd29f7daec5b3eca72ba8a57dd55fa85b9","candidate_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (6, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4dd5ecef7aae8a1405b6626195324d33b31f63f4c446c511db2edb6b7be9c3c6"},"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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:07a605d322b3d18dcd4bab1974304f705f92d80858cb71cf91628fd676c3a40b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, 4, -4, -6, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_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:aa6727644f158b2d3ee6d93534eb6ed7864a0a9553f793f88ff3ca0679bfbf06","rejected":{"artifact_digest":"sha256:4f0bf1e07bff58bc2451d60dfc17e1cab90155b5e61867acf389f71751867d76","candidate_id":"sha256:d26dae2c8fdafad98d5a3ecf9d87b843b560e05f382d43149192cba374fa0385","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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"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 = (-1, 5, 4, -4, -6, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:238d05fc531f22974c3e42a382c29ec8e75373d75c7dde40cfcd4a25792d0421"},"sample_id":"sha256:294de4747c886dcbe4321a10588607d6283768fabe1ba338ae1a41ec12e29d5f","source_transition_ids":["sha256:c06806a4a9ad933d47e4d2b23d3a95f5f4844eb29c2c442c76edfba85125cfbc","sha256:fcbecd65aa6968be507b200a3493998400b95d67a9b0ee6e01cc6578edcd5f87"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:f214c01b2285b093e641a5980896eecd29f7daec5b3eca72ba8a57dd55fa85b9","candidate_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (6, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4dd5ecef7aae8a1405b6626195324d33b31f63f4c446c511db2edb6b7be9c3c6"},"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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:07a605d322b3d18dcd4bab1974304f705f92d80858cb71cf91628fd676c3a40b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, 4, -4, -6, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_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:bde3c6e10c3740a10aa9d9a224e3ef1365b3d6ba1d22c8b3106646d1b46d62eb","rejected":{"artifact_digest":"sha256:d63500b69d698b957cfc28562c0687980a1212aed9a5ff73ffb1f7496eff5098","candidate_id":"sha256:c6fc4f34d53729c96f7545e1430249c0d5bf1be52652b64b2a973e96bbae2304","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"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 = (6, 5, 4, -4, -6, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:35c3ddf6e631aed8634360f6bdd3525e04434e5ed29c3762b351bf864923c76d"},"sample_id":"sha256:743e4bcedc2189eeafa7306028073a56f052426bd75c9fb230c5c1ef7722c117","source_transition_ids":["sha256:c06806a4a9ad933d47e4d2b23d3a95f5f4844eb29c2c442c76edfba85125cfbc","sha256:c3dc27b90a82d2c9c8e78a9430c030fb3c31f07e53adfd6c73508a660e2474ae"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:f214c01b2285b093e641a5980896eecd29f7daec5b3eca72ba8a57dd55fa85b9","candidate_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (6, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4dd5ecef7aae8a1405b6626195324d33b31f63f4c446c511db2edb6b7be9c3c6"},"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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:07a605d322b3d18dcd4bab1974304f705f92d80858cb71cf91628fd676c3a40b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, 4, -4, -6, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_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":"sha256:43a307165e5939d64b14e6070351f36c1bfaab4a211c7e116d2e1eb706b974a7","rejected":{"artifact_digest":"sha256:2cca42e081ddc7150ad82bba5000820ce8e77bba8186948fae4e5e667547cb9a","candidate_id":"sha256:f16a1c79d4d93f8de6383b3409614365e6f15194103a31e861517f50da0926a5","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (6, -8, 4, -4, -6, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1d5a2181a019a5d924c3f7964e1760ee6d2bc9941fbfe79efb85c47ff882cdf5"},"sample_id":"sha256:6576b8b1a94aa47ddf4dd31979297b756e3a49c77621dfeff206d887bcb08081","source_transition_ids":["sha256:c06806a4a9ad933d47e4d2b23d3a95f5f4844eb29c2c442c76edfba85125cfbc","sha256:6400eb444c0c2fcfdd578e34b864f1f1133e038e1d23c150c828d5dedb507841"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:12beaa29206dc7508132397e6fe4c0ebd820ee4589f30a3b4c27c5feb623abca","candidate_id":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","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 = (6, -8, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4c1a9cb96af55df49b21657a2ba7a0f94f73731ba955c961dbfd3d572349a25a"},"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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, 5, 4, -4, -6, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_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:f62a5f2704c0bba6b98f832e1c77a98285d5a55172edd800b077969cdbdedfcb","rejected":{"artifact_digest":"sha256:3bc24698bbe00cae46e5a67b4fa2310868051427b1c4825790c259c15c8997aa","candidate_id":"sha256:fa00b445f0b06d9e00e1ea5ec6ab8555c53ad6fa97ff7bcbe37e014fb116ada4","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"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 = (6, -5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:48d0509879120c05e3f59b583a058604e7dcb39655e84d0bcf928fa31e7c7599"},"sample_id":"sha256:099396764ba45b3506ede8245689f24b7f2274414b6cfc38d15c81b45b403916","source_transition_ids":["sha256:016ff86cfa6c4e14e317b0c525b730181f4a5b32d71b70129dafa8e9cb221925","sha256:d97d9bdfe095161cfa8edcb1cbf9053ce5e0cc9d8fd561a9a085d428ed6c4ecd"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:12beaa29206dc7508132397e6fe4c0ebd820ee4589f30a3b4c27c5feb623abca","candidate_id":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","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 = (6, -8, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4c1a9cb96af55df49b21657a2ba7a0f94f73731ba955c961dbfd3d572349a25a"},"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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, 5, 4, -4, -6, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_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:cd1d7db1cdb8879b59f66d90b3a2ba292ea3e14c1177be675e22a38bc9a58e09","rejected":{"artifact_digest":"sha256:58860456604ddbfda7814d7000ddca06a7b6f8ccad11f10017f893cbb0c79f39","candidate_id":"sha256:81b8cd53f10bee7f491813c14d1eb74cbf69aceaaebf5f901ecc644a28d63c55","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 = (-4, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:40417db140731bf4317e740996ac6a45f747444404a75886e648de3757368def"},"sample_id":"sha256:a32f2034ff71c47db51aacc9356ed89496e2e7a403ba2039331539c098a6a3cf","source_transition_ids":["sha256:016ff86cfa6c4e14e317b0c525b730181f4a5b32d71b70129dafa8e9cb221925","sha256:1d0f4c7d4b9edb0331303332494c5d968088da0eacbda1ad721b69ad846e8daa"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:12beaa29206dc7508132397e6fe4c0ebd820ee4589f30a3b4c27c5feb623abca","candidate_id":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","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 = (6, -8, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4c1a9cb96af55df49b21657a2ba7a0f94f73731ba955c961dbfd3d572349a25a"},"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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, 5, 4, -4, -6, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_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:fb838ba6f0e33c850baf76f4370173a584069a303a18c5632ceb16765063c49f","rejected":{"artifact_digest":"sha256:d6ecf5847b45f4772b1c8509ff79634925b9ccd0728bec716541716d6891d8b7","candidate_id":"sha256:870ac2b485c1e245e42f36bf41ac4603b067c61168870420708be4f2784b463d","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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 = (4, -8, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8dfb01d4f366084630efabfd1726bf218ca194b54dd9fb0c12bef2210dcc1bf6"},"sample_id":"sha256:eca32bc3e45859c2788b705943c595e03d53ab7b9b1947386f9a560c6550a7e0","source_transition_ids":["sha256:016ff86cfa6c4e14e317b0c525b730181f4a5b32d71b70129dafa8e9cb221925","sha256:22906676de7914edbacc4ce62d7c28cd9165da407eea9b263d321b3eaa48ef53"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:12beaa29206dc7508132397e6fe4c0ebd820ee4589f30a3b4c27c5feb623abca","candidate_id":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","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 = (6, -8, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4c1a9cb96af55df49b21657a2ba7a0f94f73731ba955c961dbfd3d572349a25a"},"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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, 5, 4, -4, -6, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_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":"sha256:641ba5a74f380c7226e152894178cdd40439df65f4e9674a8dbc81b78e48fe9c","rejected":{"artifact_digest":"sha256:311b1a4c2b871eecdfc48690234cf04e0a23bbb6e12b2884e95bddbddd4c19c3","candidate_id":"sha256:3f7576ad369dafd9aaf3900ff5ba87452aa0a16b1f643408d650ba21b186dc19","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 = (-6, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7e819f8cd39ae3aefac3be1d75a46169a2d2c964faed5d3ef5ee9fa283adf615"},"sample_id":"sha256:92a6d760fb5e1445777980cc314b0ccebabc4d85f5219753d66ac951cf8a4d90","source_transition_ids":["sha256:016ff86cfa6c4e14e317b0c525b730181f4a5b32d71b70129dafa8e9cb221925","sha256:6fa85d5bdc2ffa1df39b6742e82d63ba7367570c12f272f1a8cc94d45a5bb8fb"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d5a7857ae5fdfaface754e0cdfd89769b778bb495e133de75fa49735634a246c","candidate_id":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","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 = (6, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:45876f1697165f2c138852efa476eb43dd31fdc75af5a6b522ca9983f636781b"},"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":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, -4, -6, -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_006\", \"lookup_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":"sha256:59dce60bb05b68b845ebe9554c46916bee9399310367535a932fa216e11c50ab","rejected":{"artifact_digest":"sha256:eed186ae1e8f4ee8601ea21213cc0f02300f97e52a8a9fd3252d2ae7674c12bb","candidate_id":"sha256:43ccbb59614bb75f6d7ed06743ca64eebf21298bc85b4ba6d68c64ad2ea12792","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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 = (6, -8, 4, -7, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:79f1e9260465cff90c0cafe7caabbe92c58bd1138ca6ff7450d15400217dab35"},"sample_id":"sha256:23d72f3fe38b42ed2d83806eb563074d340a195bd21d2d271bce698be4da52d7","source_transition_ids":["sha256:c305a5905e712da22db51e9252e528bac9d4b32dbb31c034ae85893c35ebeb78","sha256:b4c94e7dab4b7b924fd42bb83f6afdb4f7d5071520d31582003cc759d796e1a3"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d5a7857ae5fdfaface754e0cdfd89769b778bb495e133de75fa49735634a246c","candidate_id":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","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 = (6, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:45876f1697165f2c138852efa476eb43dd31fdc75af5a6b522ca9983f636781b"},"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":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, -4, -6, -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_006\", \"lookup_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":"sha256:86f2e90a22e10a80476170e4fdfe52b04e54d25ec03872953d163a1522b2cc8c","rejected":{"artifact_digest":"sha256:35bf621352b1eb4c579098f1f74612f72942d3f855a1a4b5778cef070b022021","candidate_id":"sha256:e5e33667dda66eb542546aeeaf71edaaab58f1ce093c79637d3fac4933d6d106","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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 = (1, -8, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:398c61591dfd8692ddc863220222c681b547abe4bf780609a71a7e82ac29a3ee"},"sample_id":"sha256:899b67e1bbe3d1f502bdccb2f108f68fd17f4a5ef1a6624c18f7da34cb3542af","source_transition_ids":["sha256:c305a5905e712da22db51e9252e528bac9d4b32dbb31c034ae85893c35ebeb78","sha256:0a58c87208f23aa8c2440a4384e506e8cf4905a76fb9f7bd953cf5fc83124768"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d5a7857ae5fdfaface754e0cdfd89769b778bb495e133de75fa49735634a246c","candidate_id":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","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 = (6, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:45876f1697165f2c138852efa476eb43dd31fdc75af5a6b522ca9983f636781b"},"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":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, -4, -6, -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_006\", \"lookup_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:ebe0ba3be21117980edb12372ef42dd449fc4e617a8f5212251ee58a08eedefd","rejected":{"artifact_digest":"sha256:6f76bad1374c5c59f802c0b9420b2389524a1cfb7ccff92cea8189d4f58c2551","candidate_id":"sha256:ae12397b4252a4c8ad36c1ce110aacdcb98bd6c06b6fa5038b649a7c3d5c9e5a","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 = (-7, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5173833f6eef477fe8963579f7ad3902a64c8d4bc576a41b6d6cec7ab2c5838f"},"sample_id":"sha256:c3a5ac8bf4263130e04e42724112a29b6a999d467837bf41f7afa4bad88fcc43","source_transition_ids":["sha256:c305a5905e712da22db51e9252e528bac9d4b32dbb31c034ae85893c35ebeb78","sha256:561476ce44994abc275dce5aaa99f89513f6b230202a951402676439071ee8ba"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d5a7857ae5fdfaface754e0cdfd89769b778bb495e133de75fa49735634a246c","candidate_id":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","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 = (6, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:45876f1697165f2c138852efa476eb43dd31fdc75af5a6b522ca9983f636781b"},"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":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, -4, -6, -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_006\", \"lookup_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":"sha256:63cf6980f312dcb064871a8ac3742a82ae7c89422a231539f01cca61283d57f9","rejected":{"artifact_digest":"sha256:6e0d3bbc6ec0e7676833cdce839947ba4b10dcac5e3ac38e9c633f8b098b5f2b","candidate_id":"sha256:6f8120187dfa6b6689232965b924739b4f4273b4d6ee6d699995bc21458b513b","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"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 = (-8, -8, 6, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c2ce945eedb78787dcd7fb0096fdb68d6327f9d19512fc60e9e73ad164ed14bf"},"sample_id":"sha256:0f494e426b0bfe136f98e93f4e1a0b099e62845120af1288713754d3527bb879","source_transition_ids":["sha256:c305a5905e712da22db51e9252e528bac9d4b32dbb31c034ae85893c35ebeb78","sha256:4f7ab571d78d83ecdaca218558d5e2cc49e44725af0809510b2463a492971109"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5d7e7b28df03bf411f12788992e38602b0c9344fc87dcfb15c25707dc7919592","candidate_id":"sha256:762c8cbd4eb1613354d721af45524904a38687eb963f08e15fee1444fa45812b","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, 6, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:86dfdc2ff4c3b17ccc1ad560a2b1db1780ea422f5572b81e538a59aff2ef5368"},"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":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, 5, -6, -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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:70c917f20867bbe052c13912ee47886277803e3463c5b912b1c2e4b69aff3c6f","rejected":{"artifact_digest":"sha256:537713d5827b17fbdae8fffa353a92b7a3876e8c68177aa00f5d01606c69f947","candidate_id":"sha256:88a2f9eb170a2cccbf49e76e9b9bca7318ff38027e1e07b19961c3a229b004a5","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 = (6, -8, -6, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ad3ac279e9af2974a472627b7069f2bf27b7562c58da80a329cb66a204c42434"},"sample_id":"sha256:4eb0ced40a698a35c34af3367cd4c9d019cc12750af2e557f2abfa0eada3ded1","source_transition_ids":["sha256:0741f0216edd457b99fec2f5cd492030c8a731bc1c9886a53e0d305aea6300d6","sha256:61570d4289d9f72f40e1df34106b43329e2197f0535ac2e9813341fdea70f149"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5d7e7b28df03bf411f12788992e38602b0c9344fc87dcfb15c25707dc7919592","candidate_id":"sha256:762c8cbd4eb1613354d721af45524904a38687eb963f08e15fee1444fa45812b","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, 6, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:86dfdc2ff4c3b17ccc1ad560a2b1db1780ea422f5572b81e538a59aff2ef5368"},"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":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, 5, -6, -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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:40988921eb49341d2acda5602120a31360ef6333b5798736aab8cdac05357543","rejected":{"artifact_digest":"sha256:5d72635c1ed4e205b1eb46567cfa990d0da7ccde80d724e00767fe26fc398f9b","candidate_id":"sha256:870d7ab2eaa01cdc1ed6c56643a6070a38c53ebf4d2a933059a903d4b3c4d71e","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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"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 = (-4, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c6242f4d1d8066b620551732a4138c5afd30ec420792250c5bd1a29a92668018"},"sample_id":"sha256:21e9060e0f64b308406ca858627d394092aaee810fcc6295838c511cdb9ba999","source_transition_ids":["sha256:0741f0216edd457b99fec2f5cd492030c8a731bc1c9886a53e0d305aea6300d6","sha256:206be0187cb7768bb0bd6fce911f93b2d16aced8a21015cfceadf72a92dc3a19"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5d7e7b28df03bf411f12788992e38602b0c9344fc87dcfb15c25707dc7919592","candidate_id":"sha256:762c8cbd4eb1613354d721af45524904a38687eb963f08e15fee1444fa45812b","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, 6, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:86dfdc2ff4c3b17ccc1ad560a2b1db1780ea422f5572b81e538a59aff2ef5368"},"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":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, 5, -6, -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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5c570da477a8d037149b95f4cb36834c16bea98c8017f7dab23988b91f06251d","rejected":{"artifact_digest":"sha256:6014d4afe875715873089be9bb342b8212ae61e094d438d489b6c2314737578d","candidate_id":"sha256:af246da25a0a68b7cb481f23beaaef2fbc31a20f602eb890e3da3e6b1532b1c5","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 = (-5, -8, 6, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:34fe3d863c92f744d87cb14952c92020c88adfe447a6f39e4e770cc1e78c151c"},"sample_id":"sha256:8170e4a0efefbd8a71d6cec59c076ae056fd4670aa8dd239a29a6b3d6ca34a0c","source_transition_ids":["sha256:0741f0216edd457b99fec2f5cd492030c8a731bc1c9886a53e0d305aea6300d6","sha256:5d4045d4f5d3ab95927bcb2b881bf0bd6eb7a14de19aee80a066cb41f65eedcb"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:522e5c0881640c009dbccafff05d1cd7965c5496deb696afc60bd8efc206c14b","candidate_id":"sha256:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","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 = (-1, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5b957eed31f67ce03ae74ee3532b8259bd0efe8532767947c99fe6d79c96a2d5"},"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":"sha256:9dc803a028752bebf3bf4461c40144d2ad5f6ac79b154e168c3da669a5005e67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -1, 7, -6, -5)\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":"sha256:62773488263c95d4e63c7f5ce62b64cd29d259a9e638ad446b7f7d15189882e3","rejected":{"artifact_digest":"sha256:ad00f6b655cc658b229e38e541f78fe262260ef194d4d86f9bdf7410e2d267d6","candidate_id":"sha256:190c116463887c5b8f7092214787a8c35519ac4d0f678651b6f6d04e43f18e88","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":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"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 = (-1, 8, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c13a5c843a5b44790c032b6d5750f1a3b9ede959d1b1a1d4eac63bf3c2256fe9"},"sample_id":"sha256:aef60e10dcc9e278f0669d58ece4c125b0d7f1a8bf84f75064fce1e7924fb006","source_transition_ids":["sha256:9cda8a6bc2683e7321845677dca7bf2a6565263f54fcef93dd7d93c1123ddb63","sha256:e0ba2a331742c2ad0366e8668f2e7e6013b5d390591eac5833ca57ba1670a493"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:522e5c0881640c009dbccafff05d1cd7965c5496deb696afc60bd8efc206c14b","candidate_id":"sha256:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","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 = (-1, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5b957eed31f67ce03ae74ee3532b8259bd0efe8532767947c99fe6d79c96a2d5"},"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":"sha256:9dc803a028752bebf3bf4461c40144d2ad5f6ac79b154e168c3da669a5005e67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -1, 7, -6, -5)\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":"sha256:290a8128fe5dced7600f3907a5e20df01056deab4e755cf52c39104475933255","rejected":{"artifact_digest":"sha256:45cdc84be5a15ee963ce9aa16a53cc8696403c12c275d2234ffa088ce46854a8","candidate_id":"sha256:7f74e2c04544ddf74398380203b2393238e57f22a9c29e2b50e15b239fd68e7c","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 = (-1, -1, -9, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d367b0cfb961ee24e7050e15f63c8cf0ccce6c5236ac5cb31c23df3f9270e259"},"sample_id":"sha256:336f2954838f1e84aedbe32c9ed960426d983902590fe03db35d00aaa554e291","source_transition_ids":["sha256:9cda8a6bc2683e7321845677dca7bf2a6565263f54fcef93dd7d93c1123ddb63","sha256:d9284586a664474d1cccdee770b207b6d4278440b4fd783ce5d6ca1a8d5b63c2"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:522e5c0881640c009dbccafff05d1cd7965c5496deb696afc60bd8efc206c14b","candidate_id":"sha256:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","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 = (-1, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5b957eed31f67ce03ae74ee3532b8259bd0efe8532767947c99fe6d79c96a2d5"},"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":"sha256:9dc803a028752bebf3bf4461c40144d2ad5f6ac79b154e168c3da669a5005e67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -1, 7, -6, -5)\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:a8a9e2cfba759f3f6cda1fffde023cee8e0690d85657306196cca711ec95dcd2","rejected":{"artifact_digest":"sha256:d28137a4c84f71a06df93ce87e0ea495cb9c1294d0ab09dcf6c79d51c993637e","candidate_id":"sha256:200a38593ace202b37af0e8b28b7bcc3bcf2201693decc65564544f4d6e43992","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"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, -3, -3, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c492d3680c74d4d382a2f2896cfcd13492fdfe2b8bd9fe518158f1cb31792776"},"sample_id":"sha256:7135d18e5486b85bab764cac9de5324fb5d2878a44103c32ae8c6da6e467f9a4","source_transition_ids":["sha256:9cda8a6bc2683e7321845677dca7bf2a6565263f54fcef93dd7d93c1123ddb63","sha256:b8f4c9538c7ca5716e3d436cdf8ee348c684c252c2b5f56c0ef6bcba1fd6aa93"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:522e5c0881640c009dbccafff05d1cd7965c5496deb696afc60bd8efc206c14b","candidate_id":"sha256:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","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 = (-1, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5b957eed31f67ce03ae74ee3532b8259bd0efe8532767947c99fe6d79c96a2d5"},"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":"sha256:9dc803a028752bebf3bf4461c40144d2ad5f6ac79b154e168c3da669a5005e67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -1, 7, -6, -5)\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":"sha256:36fac5582ba9fcfbc3a08b02e1f1f5a46cc4a8ac2dfc42dc2e13adaa90226ce7","rejected":{"artifact_digest":"sha256:c30a916a7789ac03b4b9bbb17c87fc0c2f875c1a029e725580247ad7a63698e6","candidate_id":"sha256:bda853e0d3a6c910e47ecb2f895e49b804c40d129478ff0863971b7a1f6da753","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"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 = (3, -3, -6, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6a80aaa302fb2d82994b841195ca602c3e63401b188f716070580999367d0716"},"sample_id":"sha256:ca47ef7db91cbfc62212e41c55dee6cd73cb44be5fdc563efd70ab74c742a6b9","source_transition_ids":["sha256:9cda8a6bc2683e7321845677dca7bf2a6565263f54fcef93dd7d93c1123ddb63","sha256:4f3cfba7287e949916bde9d712d83f34dd0443f02e7a70f49a4339236441be67"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0dcfb552de1905171a930ef99b2c98538adc0b881fcb2d280572c76f38597980","candidate_id":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","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 = (3, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7537113ddd794c5011411809a6d078531e4dad27d6b18b2fea34b8e1f4a389ea"},"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:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -3, 7, -6, -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_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c65a21997d840741b67d6da65d9e4b3fc766a9dfd0815ad825169bc914e3eeb7","rejected":{"artifact_digest":"sha256:06d0183875c398f7c6442c32d4d0111d7db767a4571267cc3555afa4532c7d70","candidate_id":"sha256:2b9e03089b7a60793ba1834c86ec30ec54abe5483210c7a92ad38b7e4f8000c6","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-6, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:50da3d2b4be9c240ce98d1ed4ac463aa47723948526f50b758b497a72ba1959d"},"sample_id":"sha256:7600a31567d942659740f4d641674813b0ead7e7d6626032b2ca0ce8951c911c","source_transition_ids":["sha256:97d9e9911d0c34336794bdc06e20aeb8ef98d5673ed00bc9002ae4c32e01c7ed","sha256:a55c3f84d3b6cdf336605074b4c14821cae5f81f031fe7c97bd6895b1327744c"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0dcfb552de1905171a930ef99b2c98538adc0b881fcb2d280572c76f38597980","candidate_id":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","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 = (3, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7537113ddd794c5011411809a6d078531e4dad27d6b18b2fea34b8e1f4a389ea"},"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:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -3, 7, -6, -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_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8f459b63c20c04d04d6674c36b56c20f4ce9809335ee98a04efb8c61d039c45b","rejected":{"artifact_digest":"sha256:6d45989849de3341d41e0ef47390c3dafe18a4ee57b40b92d9299e006c7b5be2","candidate_id":"sha256:264fb5ffebb209eb6f652b87de6379af88d945c9b0641c8423e6cae32c55248a","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"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 = (-1, -3, 8, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c431df138db193f8592bd021ad676d9edf82111552048b83e023b89aa0cfc2bf"},"sample_id":"sha256:7a245dc006b38db6c432ed339c1af644002e8e0c88f10e85b4ad4af480f4ed9b","source_transition_ids":["sha256:97d9e9911d0c34336794bdc06e20aeb8ef98d5673ed00bc9002ae4c32e01c7ed","sha256:8c90b3ad87fb00dfc43cedbc55594298f86ba2c888dd43068cff47a108b2fb26"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0dcfb552de1905171a930ef99b2c98538adc0b881fcb2d280572c76f38597980","candidate_id":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","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 = (3, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7537113ddd794c5011411809a6d078531e4dad27d6b18b2fea34b8e1f4a389ea"},"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:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -3, 7, -6, -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_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:55614a912324d7316b8276eae036d76cbc08cad392e5cc835741814535523bb3","rejected":{"artifact_digest":"sha256:e381fb38dbb404453c6146085f368de2e899b6a6d9f14b6ea82332a830231d75","candidate_id":"sha256:bbd73d8028fad5fae36e82617ad503f148fb66fb7ea3e3e3fdcf4a31f2548010","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 = (3, -3, 4, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:11bf8e48e006eaa3ffbe189aab1a1feafd7f7651037b1be32aff3421e3a85bce"},"sample_id":"sha256:610c93e39b0715ba01f84db1ebf25764b9753e7356cb45c445cf4ec545a4d3a9","source_transition_ids":["sha256:97d9e9911d0c34336794bdc06e20aeb8ef98d5673ed00bc9002ae4c32e01c7ed","sha256:07e712879a69e9bf44761e6f5d1834ff6d47bb017c77a4b80899793ad40ef0b6"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0dcfb552de1905171a930ef99b2c98538adc0b881fcb2d280572c76f38597980","candidate_id":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","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 = (3, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7537113ddd794c5011411809a6d078531e4dad27d6b18b2fea34b8e1f4a389ea"},"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:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -3, 7, -6, -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_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2bc3d9142f307ee460307ddef9568a920a712a41ca98077c8324a3d8a6de6fd4","rejected":{"artifact_digest":"sha256:4c5b97299335dfeaabd05173867b842f44cee7b9520998d0239bea3c4bf526e0","candidate_id":"sha256:96e08f1e0b5e8a8bde95c2d90bc2b4d970bb6137b9d79a114a7c76ab518991da","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 = (3, -3, 9, -3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fbb5d568f4a5e424fff4d0cc9e48531413e84b55b8bc7e710a716c5d4ad43719"},"sample_id":"sha256:6263254e43789f03dcd9f1755fef4e68e11427995c9b02b593ee316b4a83799c","source_transition_ids":["sha256:97d9e9911d0c34336794bdc06e20aeb8ef98d5673ed00bc9002ae4c32e01c7ed","sha256:88a14e08137e0aaadaf7f49b6a2b012a8cf0481665ce75f1a4c87379ebc95e71"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d902285b24bd3f90589a258a3cc17e926589ec75eadfd23633de8f80d1f213cb","candidate_id":"sha256:ca81d17ba19d3159d878acd7e8502ff66112c8838155d3014039c973461d3e89","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 = (3, -3, 7, -3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6d00cc01d83b0de9d90e9ad3706d24dd1c3cba8fa7ecd4010f29bc2e0dbef8be"},"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":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -3, 7, -6, -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":"sha256:2a9c38138441fe2a92aa110c183fc359f3dd600dc99277db365041456b6d89c2","rejected":{"artifact_digest":"sha256:f4fb140d654b3546ea50a06b2fc3e5c28daa1d57524a067ed0b256034e8a459f","candidate_id":"sha256:31b1a9ba46bdf667d3a3be6151b1fdf1ceb50bd5239ea7253007fc0073f43f21","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 = (3, -3, 7, 2, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:32a8c3ae8a56f8b48614da4a1d5e58014fc562fd626623cbdd9ab8baaf67de3a"},"sample_id":"sha256:1abaab7e242e57518eec538fff418c7b1f46ec8017c3e24a4b3b65498029567d","source_transition_ids":["sha256:8e019666e0e75771379808fb088c79e129af035eeffbaa18b6b2b410e9067a0e","sha256:10a0019fbfe54f0329210e35f0c44a598ac49ba1322898cc7c5f1448d512715d"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d902285b24bd3f90589a258a3cc17e926589ec75eadfd23633de8f80d1f213cb","candidate_id":"sha256:ca81d17ba19d3159d878acd7e8502ff66112c8838155d3014039c973461d3e89","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 = (3, -3, 7, -3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6d00cc01d83b0de9d90e9ad3706d24dd1c3cba8fa7ecd4010f29bc2e0dbef8be"},"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":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -3, 7, -6, -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":"sha256:8cff3215fed0378b697a8404da9964f4f7a38b1a9722eff946764e8364f1bdbb","rejected":{"artifact_digest":"sha256:50bdb89217306e6d61a6538d88e8fad13ff28954914adc6460a7a1454e3ecce8","candidate_id":"sha256:88da7f5a8c152d2e06b3737f9f0dc2b07e3c25374520f281cc4b0689b0872858","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 = (3, 1, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d82aceac4e142a6275f818e02922e32ec55e3d1288a38c00bea13a1121c825bd"},"sample_id":"sha256:804495602318fd67ab6e1d8d90ad7745e52ef6738ac21f36759d210c0475fb32","source_transition_ids":["sha256:8e019666e0e75771379808fb088c79e129af035eeffbaa18b6b2b410e9067a0e","sha256:4bcc6ac914c86931394aa46a015f4283ec3c233e488b05da2f85aa38b4b0a0ec"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d902285b24bd3f90589a258a3cc17e926589ec75eadfd23633de8f80d1f213cb","candidate_id":"sha256:ca81d17ba19d3159d878acd7e8502ff66112c8838155d3014039c973461d3e89","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 = (3, -3, 7, -3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6d00cc01d83b0de9d90e9ad3706d24dd1c3cba8fa7ecd4010f29bc2e0dbef8be"},"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":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -3, 7, -6, -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":"sha256:88f27269e169774ef1658eef4eec372514a315ad100a65e50696e02815a61052","rejected":{"artifact_digest":"sha256:342b8d91926945dbcbb3e11d1ef46f44b165feab98e97b3bd71a8e32d4cbb4bd","candidate_id":"sha256:8d59adb14a515b78118802819153107f14c576ba6f22264bd50ee4d70004e13e","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 = (3, 9, 7, -3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:1deb1d2080e46ae13172e828d02d165daedb65872f2990a4f1de23a921eb0036"},"sample_id":"sha256:ebfec73f2dfb0998b6d6aa21c69b6f3b3cd5d746ed02e05784c606fe68141581","source_transition_ids":["sha256:8e019666e0e75771379808fb088c79e129af035eeffbaa18b6b2b410e9067a0e","sha256:679b462816024425f1de4250014d9584905edc1798df3e1939b57e0b665f7bac"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:bccd5293e17a7100545969c1d63424633e736b7ef4bb9c1727ad19e79f1f1aba","candidate_id":"sha256:c035b0c086a737fc9b9ca8d7b8db9dd106e81a7af8332724f82d3a9aa776cf3d","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 = (4, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:24bb0982203343427aec839ca03fc875c0bb5f14f1d00724d23e557a4112669c"},"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":"sha256:000e005979eb99a8bcaa2024e7589bcff46e440bbaa850358de5e86b6b8f2439","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 1, 4, 6, 2)\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":"sha256:126b7c99fe939665b8eace4ce83e84e8408137600d37951a7b7a6b680e84f58a","rejected":{"artifact_digest":"sha256:07d6292965fccbcfb0d288ae131985a3976889d3d437610f57eea13dc2646114","candidate_id":"sha256:c20e1f5e67ab465cd43c8323c096d453d2ea57b37e611ecc75c0786f39637a47","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 = (4, 7, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2f117fb8f97515c609f8c5b856e73b27a52232ec853e50e491264a9e50044596"},"sample_id":"sha256:d9b58bf2d2a1b07079e88ce5e463c25a5d213d25c8ad0add8ba7766cdb49042c","source_transition_ids":["sha256:ca5f7b99077954486d437525a5f91245be9d94117f0c086a64b55cb94ae7c8be","sha256:136c7e52d0401780e9e13e432430fb426710e3d4d774887e7083fee279ea821c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:cb11afb41339f9f9d7fe4703399ed022ec5730aba9b1d85e399a4d99efaf0912","candidate_id":"sha256:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","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 = (7, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a4285c1933dd8e34a480137f6dad45bda9ad12b160aca019c4ff31c256144502"},"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:c035b0c086a737fc9b9ca8d7b8db9dd106e81a7af8332724f82d3a9aa776cf3d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 8, 4, 6, 2)\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:e390680ac545b12a8d6648bf27512d87c5ee590afc2ffdf89bcf253139b0c484","rejected":{"artifact_digest":"sha256:f7a1bd8996f8c542c41d901400b0c6642c085165762c75ec39dde98b09fe8e1f","candidate_id":"sha256:66bfbc9626059a202b0e34d605be6be925bd1f597e260dc7932ca930b03ba6ea","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":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":11,"phi_gain":0,"phi_incumbent":11,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (3, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1a381d14e4c0fcbbcf3c6603cd988ec2701ed6844fab178165e9870ffbce63d0"},"sample_id":"sha256:043a40a4c3f767d9f07e2fb6bdce8267f7b8a538f0462711f06874371b2e7419","source_transition_ids":["sha256:37e2319e0a5836114ba872640ad6979e83fbec432fb53660d23485bbf050ec73","sha256:b0c5d17337dc8edfda933b2608e0bd281505431694a7176a0442752ba2232794"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:cb11afb41339f9f9d7fe4703399ed022ec5730aba9b1d85e399a4d99efaf0912","candidate_id":"sha256:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","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 = (7, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a4285c1933dd8e34a480137f6dad45bda9ad12b160aca019c4ff31c256144502"},"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:c035b0c086a737fc9b9ca8d7b8db9dd106e81a7af8332724f82d3a9aa776cf3d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 8, 4, 6, 2)\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:f783fc94d13265d9389b5551fd66371ef168a93e0e16cb446c0915900d562288","rejected":{"artifact_digest":"sha256:07d6292965fccbcfb0d288ae131985a3976889d3d437610f57eea13dc2646114","candidate_id":"sha256:c20e1f5e67ab465cd43c8323c096d453d2ea57b37e611ecc75c0786f39637a47","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":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":14,"phi_gain":-3,"phi_incumbent":11,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 7, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2f117fb8f97515c609f8c5b856e73b27a52232ec853e50e491264a9e50044596"},"sample_id":"sha256:faeb5ccfc7aaadb7731df9b3238fa9d5b02c8d8da0382aea83e01f76e52188d1","source_transition_ids":["sha256:37e2319e0a5836114ba872640ad6979e83fbec432fb53660d23485bbf050ec73","sha256:17da30cbe7a363faae03d09bb996accb6a2f4a11b6dc95c7fd0735d32e53e1e2"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:cb11afb41339f9f9d7fe4703399ed022ec5730aba9b1d85e399a4d99efaf0912","candidate_id":"sha256:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","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 = (7, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a4285c1933dd8e34a480137f6dad45bda9ad12b160aca019c4ff31c256144502"},"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:c035b0c086a737fc9b9ca8d7b8db9dd106e81a7af8332724f82d3a9aa776cf3d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 8, 4, 6, 2)\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:cf5a20f5a894421d889579c5e861364617c7abbe411d55a36bf98651aea3f7a0","rejected":{"artifact_digest":"sha256:bc9ad319634aacf21f908e6cdcdab4d6952d6ee1d764b9777b70088b108e5bbe","candidate_id":"sha256:c27d8a34d0c698268a80d5b5a8b439be91d075b0ecca4f1dbabc2663ac2b6270","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 = (7, 4, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6e6d86bef68c1eec2683eeeb9c6c383b1e45768dbd57f3de121963fd9f92b7dd"},"sample_id":"sha256:55af1db2cc66e28f4006d664a2f24f64ada89807b25361ff07209d259fa3bb99","source_transition_ids":["sha256:37e2319e0a5836114ba872640ad6979e83fbec432fb53660d23485bbf050ec73","sha256:f2b1d4710cda4fff7544820acdb54f519fa4f15867266e901f8d1eeafea4130b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:cb11afb41339f9f9d7fe4703399ed022ec5730aba9b1d85e399a4d99efaf0912","candidate_id":"sha256:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","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 = (7, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a4285c1933dd8e34a480137f6dad45bda9ad12b160aca019c4ff31c256144502"},"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:c035b0c086a737fc9b9ca8d7b8db9dd106e81a7af8332724f82d3a9aa776cf3d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 8, 4, 6, 2)\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":"sha256:4bfd0b47e1310bea52c781016479599236325ba0ca012872658ddab722bf56f7","rejected":{"artifact_digest":"sha256:08e6a8631ba0989cb6a67156c351f09e1e62c03a2fe6259ef77cd62a3d04d361","candidate_id":"sha256:f6613e3b349f7386db3224be94eb08c7e5ac946a3e72298ec4e339fdcf6b37ad","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"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, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:78e4227082f0d7837e3169a061299acc0cd1a603ee20164c3193c332cd81502c"},"sample_id":"sha256:c03a1e3e7f91ec7ebe989b4315a36f53175afe32f9f3596ee144180a6d61b055","source_transition_ids":["sha256:37e2319e0a5836114ba872640ad6979e83fbec432fb53660d23485bbf050ec73","sha256:fd170a6588f3dd37bb4bc72dd555b5d52dca02b935963d929b8631777b1b7ef6"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a64da69cc51553119ac0b07ec34ff826457c34f9ce9c87707e2489c8cc24291e","candidate_id":"sha256:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","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 = (7, 8, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bd79cf64544f71b0f69c4a0879f9458489f966e48c8dec1c91e01001e136db17"},"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:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_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":"sha256:2d476c5e70cd6ebcea51cac5dd2de1bfcd7bd17a4046b9ec074920cb185c3dc8","rejected":{"artifact_digest":"sha256:f728926bc5db1fc01d54a5d239a9792ceaf0db12e2b72710e6ff2614fc939311","candidate_id":"sha256:d7950aa87a071d37f6283559f51bd6a84f95e63ebbf8d79854c8d8f83b281589","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":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (7, 8, 4, 6, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b00f5b6ad0978cda4bdcc1b678dfaad4442ed0b33714195b50657237e8925963"},"sample_id":"sha256:5f3bd25f934079286fcf18ab54e64f807359e8553f6b6d190b820b9b1bd4d168","source_transition_ids":["sha256:2c411f2772676220df0b8f11c29b68f02e864097f0395afa5c2c303b3d218cf3","sha256:8bd165c8963c2ae145b115e3be22d70276eafa9e58435b1f6cb29bf5955c7ef0"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a64da69cc51553119ac0b07ec34ff826457c34f9ce9c87707e2489c8cc24291e","candidate_id":"sha256:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","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 = (7, 8, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bd79cf64544f71b0f69c4a0879f9458489f966e48c8dec1c91e01001e136db17"},"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:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_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":"sha256:448cb7d797c11b729a824b9d89215b05b1e8b7345f5b78abd1b1dd255bfc292a","rejected":{"artifact_digest":"sha256:918b8c05e6bb3095b359f9c20794344dd4c5f63e9726c8f3c55f7b800f41d496","candidate_id":"sha256:a10fa86f8bc707b81ee70b80b189dcc45db10345fbaf0aec1e808100f7b42ab7","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":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 5, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:ec9bc8fbd167e703a1eb869ab7268bf3606d15cdbf3aa7503656661eedc50715"},"sample_id":"sha256:0b4dfd7a6d6c8b2bae28e08c19149c507a74174bd16bbe037db62418b8a8ae54","source_transition_ids":["sha256:2c411f2772676220df0b8f11c29b68f02e864097f0395afa5c2c303b3d218cf3","sha256:543097c0841453cddf113d9e7abba3fbe6c6442e2877a7ba4ad19709f7b2db5c"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a64da69cc51553119ac0b07ec34ff826457c34f9ce9c87707e2489c8cc24291e","candidate_id":"sha256:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","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 = (7, 8, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bd79cf64544f71b0f69c4a0879f9458489f966e48c8dec1c91e01001e136db17"},"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:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_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:f78ccf628ff66f03b7f8ad12b8d1dd9d2f9fcd25304b001ad27cb4f1e75eea6f","rejected":{"artifact_digest":"sha256:3ab5b4d5f85538eb028b1a78c5256853ec3f4fa20bba05968dbfe8bbb32a8ce9","candidate_id":"sha256:0c62d9f8ec054e08f9072d7500c36d5dc549d7f3206149d2d6be64f2ec37a362","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"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 = (7, 5, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:4e1c254a2bda246ff14c16ab26d65bccf26b2a34d15ae569be6e30868b851919"},"sample_id":"sha256:d46a89b87098cd625c8bd68bb2cc97457d7de33740f377a776b807f5f7ca96c4","source_transition_ids":["sha256:2c411f2772676220df0b8f11c29b68f02e864097f0395afa5c2c303b3d218cf3","sha256:ad24c4e4e8fad690b9f3bf641484a0b6059f456803156133508afdefeb2026dd"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a64da69cc51553119ac0b07ec34ff826457c34f9ce9c87707e2489c8cc24291e","candidate_id":"sha256:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","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 = (7, 8, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bd79cf64544f71b0f69c4a0879f9458489f966e48c8dec1c91e01001e136db17"},"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:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_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":"sha256:3c1100ee350881d31be872fab0b0bb244566fe207a0fe9485502e51ebfd5b592","rejected":{"artifact_digest":"sha256:43d46364b0c52e381eb110aff9ab0c8873ef79d0d430dd6f22b763334a19d173","candidate_id":"sha256:1252d8b25fcdf5bf1dcd010159743dbf6f2c0438a10be69a704493a06dd98a87","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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 = (7, 2, 4, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:540423b93555cd7e68fd5cdeec0e7a774865eeced6f075a545070195ce70b042"},"sample_id":"sha256:928ba2235da48d07606e74ca1693b039e65dbbc5627f243e981ed514a3424ff9","source_transition_ids":["sha256:2c411f2772676220df0b8f11c29b68f02e864097f0395afa5c2c303b3d218cf3","sha256:86dbea02a70296388057a70e7101ff0074c8371c82c329bc04ef55fa8f755c0b"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:cd927d80ae088dc96e9d75382931d6afbb04a0b0aa13aa5de05bbc7133f3f539","candidate_id":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","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, 8, 4, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9d965267d0fe2d275adbe28a486f146df7e68c2a4c13a635d56ed90c7ebc5dd2"},"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:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:961b7b3fc78688b012b56e6ae38b76286f9822719978b647ebc62c5e544b6845","rejected":{"artifact_digest":"sha256:0eaea94d9a30803cdd6806f29492d4d276e8d5b910ce451652651b8b5a743f94","candidate_id":"sha256:f38449b853b0b7aa8285b8f7a0d41584b61e3038658979aa59b7e3e40cf737d0","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 = (7, 8, 4, 5, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a295336596f09974f992af76df26d8ced7577a257db10f0294d31c130ebf809b"},"sample_id":"sha256:ec943235d4fbe963e6323e3c3aed1cd4713c48c089c095303154dbcc60a6ba37","source_transition_ids":["sha256:a102bf30742b2f6e5bc09fe222a56f0dff0567ffdb1ef48f0b5bf02d5c1cca8f","sha256:e423a06dde24be6580adc4810a8003108cbe2d9ffc13df1ae9eaa4122fab0220"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:cd927d80ae088dc96e9d75382931d6afbb04a0b0aa13aa5de05bbc7133f3f539","candidate_id":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","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, 8, 4, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9d965267d0fe2d275adbe28a486f146df7e68c2a4c13a635d56ed90c7ebc5dd2"},"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:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a560c9b9f74dde6898b42fecbad5fd940f50f8bce4f12f8e7c8ad943410abfe2","rejected":{"artifact_digest":"sha256:8df5ef2865e7de93a7b6f30e50021dd71d2fe469ec5ffe77af1794b49462bc69","candidate_id":"sha256:00614fb5b8674328ccfa09d3a3d1e3efccec5b3a152d1e9ffa26294dc2df0f97","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"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 = (7, 9, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:4583a40b3730b7d891722007656910ddfa832e1f3e38d8b1f5ed2aad7b59fa4b"},"sample_id":"sha256:598dee715a27bca125d71a779a55c751ba375e3987512fd29bd5162cb76c19ca","source_transition_ids":["sha256:a102bf30742b2f6e5bc09fe222a56f0dff0567ffdb1ef48f0b5bf02d5c1cca8f","sha256:70ac9bb0f1ab4a4db50e2e4e392418d7438e3ad869f77b35bee9b656ff859cff"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:cd927d80ae088dc96e9d75382931d6afbb04a0b0aa13aa5de05bbc7133f3f539","candidate_id":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","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, 8, 4, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9d965267d0fe2d275adbe28a486f146df7e68c2a4c13a635d56ed90c7ebc5dd2"},"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:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b421f46521e3ed03ee084eb07c282c32d03bc4bd10606c2dfbd0bb478f66d4b2","rejected":{"artifact_digest":"sha256:133062f3413760e5d63028d1118e6fccb71aba7dee94c967783ce9aa0c67b5e1","candidate_id":"sha256:1e767dd1db770ed0eeb6e0fdde5da5c5d4f4e205e34f02f7d60333a00c539052","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 = (7, 4, 4, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:18c52b7b97ccce7c0121a54ea63cf9d9c5df0846461594a2b2c1a351c7171803"},"sample_id":"sha256:0d47463f2a9560a7b7942332238499b615826b85ed95be578a86eb6ea37046a5","source_transition_ids":["sha256:a102bf30742b2f6e5bc09fe222a56f0dff0567ffdb1ef48f0b5bf02d5c1cca8f","sha256:922f314edd23a3122a4615dcfff2536027c3ecd4c2c1c90cf31bda7b17fea8b8"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:cd927d80ae088dc96e9d75382931d6afbb04a0b0aa13aa5de05bbc7133f3f539","candidate_id":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","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, 8, 4, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9d965267d0fe2d275adbe28a486f146df7e68c2a4c13a635d56ed90c7ebc5dd2"},"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:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ae9c2666fe993c9e91789a0dcda03b28b52ccb51b69976e14f419d75c3a637b4","rejected":{"artifact_digest":"sha256:9a45dbf629c31497db0fe454c209dbe31b831da1d1595244630c9519854e08f2","candidate_id":"sha256:9ccd1a17466bc7f2c875ad3775bf9a47842072f3b545a707b86f9ae994d108e9","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 = (7, 7, 7, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2a1a2393e8ba053c66a8fa92087785461991a4a28c6a5e0e85803d202bdd9d5a"},"sample_id":"sha256:3dcbe3561f311dd4d95e48711f1be7eb66022cad83af1080055fabc45d15f85f","source_transition_ids":["sha256:a102bf30742b2f6e5bc09fe222a56f0dff0567ffdb1ef48f0b5bf02d5c1cca8f","sha256:1825a3bf7e211208e06b4ba6f447f3d8ef85fb2301af4b479557048770431081"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e88e1cc565c05b46346d940f129b62fc56efed00ed1950a83e88b71623253d31","candidate_id":"sha256:db0845eef8061c724011910314c0eea6c65c19b56a4162caaaa255253f33c5e8","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, 8, 7, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8f034d89a116558fc53e9bc5f9cae3b2e37d96a2e88858b3825c21a7bf039e8"},"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":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 4, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:02d4e01ed0f0b3aa2e92245afeff383d7ee2d71e9fc6eabf23024f30de637c15","rejected":{"artifact_digest":"sha256:4a7c6e71820a0bbb3a4405cfbb0b8a738446579b8eb115288dac9d49af3cfde0","candidate_id":"sha256:4eab0910c1f23ea80d93e8dcdca57f06fa6e2d9ab1005ce40c29e6504aeadbf2","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, 8, 8, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:10a3ef0bec0700379d98bd6d47e2ab52aea940adfdb173ee7e1b717aa038ab55"},"sample_id":"sha256:0dc5d2fa4746ff32e0b119b156e5eb674b0301c7a4e21bb17c05a2eceb403676","source_transition_ids":["sha256:715169129e239cee1f9a16a21cd5bf01bd07d008186a8bf11239ae161abb42bf","sha256:49abf3e4bfc9fa1ba9cab45b457b00d456fd87769cdbb24523e7abe34464a19f"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e88e1cc565c05b46346d940f129b62fc56efed00ed1950a83e88b71623253d31","candidate_id":"sha256:db0845eef8061c724011910314c0eea6c65c19b56a4162caaaa255253f33c5e8","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, 8, 7, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8f034d89a116558fc53e9bc5f9cae3b2e37d96a2e88858b3825c21a7bf039e8"},"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":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 4, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:12563578a9bd67e8a1bbc14d0862da9d5aa9d4589d87fc1c14a3198c42985b2d","rejected":{"artifact_digest":"sha256:c4fffa9425be835fd8abb132e6e5873146d2fee74ec664105e8a856e928f6753","candidate_id":"sha256:4e9fde8ae91c05080d438a52561b5d6bcb0789e98bdd397a1c954024c1fb8c82","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"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 = (7, 8, 4, 4, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:472a858ac33853351eb5486f5c3ed752dc2e6244a40ab5f7028752def85d1911"},"sample_id":"sha256:fe8105dbdafbfcd87b9e06b48fd2ce54823287321255cda568e2ddf258853ce5","source_transition_ids":["sha256:715169129e239cee1f9a16a21cd5bf01bd07d008186a8bf11239ae161abb42bf","sha256:4a8732bf281f30f32ec810e21ad9c13f33862f21131e96f29d2a855cdb80c1e0"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:e88e1cc565c05b46346d940f129b62fc56efed00ed1950a83e88b71623253d31","candidate_id":"sha256:db0845eef8061c724011910314c0eea6c65c19b56a4162caaaa255253f33c5e8","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, 8, 7, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8f034d89a116558fc53e9bc5f9cae3b2e37d96a2e88858b3825c21a7bf039e8"},"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":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 4, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9b5ec0a4c28b444cc455b07b1de1323d1077630bd48663a146e21bfd5ec8c532","rejected":{"artifact_digest":"sha256:d1b060759cce2fdee9959c82891ddd54e53cc3ffb14e4298e655cb7de3d99715","candidate_id":"sha256:18ac6309fcf56c05aace36629cb64fc6069b5e397120e55c3aff91e88e6e81fb","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 = (7, 8, 7, 4, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e1dd87ca482fb58f36161c9ee6ea5cabb8f4e846ed0e384394614e50de7de75e"},"sample_id":"sha256:d744b08aca69313419199c8cb71c9618e130c66ee9c718fea075d68cf4df6302","source_transition_ids":["sha256:715169129e239cee1f9a16a21cd5bf01bd07d008186a8bf11239ae161abb42bf","sha256:ab7e0163a8511eb028585f56180da00b4072450db00f1ad747bb8da6bda0a5b7"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c57f607a52ccee3ae8521709faa9817448b538ab0d6c8dcc6ad04519c88d4ff7","candidate_id":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","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 = (-2, -4, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0defa4ffac819233f79805b8801ee9056e94ed7ed8400cc26c51bb333fff63f5"},"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":"sha256:3322b8c9e4b5457c4ab7d7f0d29c96e0c08d66a54df052b776f2050814397e04","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 1, 2, 7, -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:e9e00f679cfde532f67da34ab851d0e3235939b4853400aedb7ca20248f6c14c","rejected":{"artifact_digest":"sha256:c1e84f56db904610fc3f65792f0a680c9234a68b0a4cc4982d753cca9a745d52","candidate_id":"sha256:81e911304827a9b708b4a74ce2041a91b716e2412c684826c2cb40b6c828e43c","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":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"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 = (-2, -6, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:77e3b6f17ca2f9ca2e752567f612ed74ec53e426e42c4f312b4fef7867bc32e2"},"sample_id":"sha256:d4a2c4dd775cd6fd92d59c1a44f073dfb537726dc0e68c2152aa5546bd9dfda9","source_transition_ids":["sha256:c0a690c3733e8bc50b21b892f96e4f94e590d08dfa4e3b723b1435b5e3317abf","sha256:5710888c611345880757ffac2643d00da712e198674fa3f26e9fe9f83c8e2b55"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c57f607a52ccee3ae8521709faa9817448b538ab0d6c8dcc6ad04519c88d4ff7","candidate_id":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","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 = (-2, -4, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0defa4ffac819233f79805b8801ee9056e94ed7ed8400cc26c51bb333fff63f5"},"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":"sha256:3322b8c9e4b5457c4ab7d7f0d29c96e0c08d66a54df052b776f2050814397e04","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 1, 2, 7, -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":"sha256:492c03a5df559c20d3280d30aa3b75f0cb8725f2c51e48c75273ca0806e266c5","rejected":{"artifact_digest":"sha256:370959aaeeae9a8e537bc5a3cb7e74fe67d42f8a39931fafeaeb55c089836cf6","candidate_id":"sha256:63df187877bd4658cee3735f965cd25c6ef628279eaacdf4cb0c0b257dd81d05","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 = (-3, 1, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b1be71c90061f2a2de4d45e6b5de7c307b65e69ebebfab0ecaca3ebcb9e6259a"},"sample_id":"sha256:59b110436fe71ef1913e6502817fbff17a903d77fe7f2d4d5f3f836676717979","source_transition_ids":["sha256:c0a690c3733e8bc50b21b892f96e4f94e590d08dfa4e3b723b1435b5e3317abf","sha256:abf267692db1bcb09f2f7b070e40ebb7a6bf9b2fba80e5fc578f4b9b4e31c0a2"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c57f607a52ccee3ae8521709faa9817448b538ab0d6c8dcc6ad04519c88d4ff7","candidate_id":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","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 = (-2, -4, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0defa4ffac819233f79805b8801ee9056e94ed7ed8400cc26c51bb333fff63f5"},"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":"sha256:3322b8c9e4b5457c4ab7d7f0d29c96e0c08d66a54df052b776f2050814397e04","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 1, 2, 7, -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:a448fa5294243aef0868e4df5abd43335c1bd41a3c5142e903fd8db0d115d90c","rejected":{"artifact_digest":"sha256:0e13717fdb9515d12df27ba14ae3929a410c0abaf19b562f78097f0ae795588b","candidate_id":"sha256:f17f16fb0f1a775de9692946d28b9897401987a977c99dc1a677b4e6112f6dd7","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"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, -4, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f5a833d335efd92757264579a7a01f50654287692a2fd8401d6a701244fa7e20"},"sample_id":"sha256:c4d9dc89c0575c58e09accdb13359cd8ac15f0f35b56dbb4bd23eb0cda523d52","source_transition_ids":["sha256:c0a690c3733e8bc50b21b892f96e4f94e590d08dfa4e3b723b1435b5e3317abf","sha256:036798fb60db35c84d6d003aed89785a51fd3ec3b365338b5ac389b444989b20"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c57f607a52ccee3ae8521709faa9817448b538ab0d6c8dcc6ad04519c88d4ff7","candidate_id":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","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 = (-2, -4, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0defa4ffac819233f79805b8801ee9056e94ed7ed8400cc26c51bb333fff63f5"},"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":"sha256:3322b8c9e4b5457c4ab7d7f0d29c96e0c08d66a54df052b776f2050814397e04","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 1, 2, 7, -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":"sha256:421d42dd292de609fe2b8edc652f1c5f23217e82ec51cda83f684d2d17c30fa6","rejected":{"artifact_digest":"sha256:c7d7e5d9fb4318d926bf566e2ba602a5fcfbe722c8a8992b2f2ef5348e607694","candidate_id":"sha256:4295122b849257a1b51438f7cc4be8835e6793d4fc78685390445b64b67781d0","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"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 = (-4, -4, 2, 5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:632f7a4462cc78c0bc86601263f05631ea8744e74281f6ba5a4608e7f1c3dcc4"},"sample_id":"sha256:d1c0329d85220a9e5cc9474247a83e246e5dc3f85ccb1511cdd9ba758d35419b","source_transition_ids":["sha256:c0a690c3733e8bc50b21b892f96e4f94e590d08dfa4e3b723b1435b5e3317abf","sha256:ad038a4074634da0cae34e0fd58dde1cb176cd49038813e3027401bede963998"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ba58a879b7ab38d3ef3d79d74c58803ded6901a1482a8551516c554f8ba97847","candidate_id":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","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, -4, 2, 5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dc64d3091b34a18bf366283857b89abb0bfefe7cf25b4c43c3a98610830f547a"},"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":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 7, -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_009\", \"quadratic_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:fc235921831bfc77474ad74d65ee168d9585d2696488e6e89bec866f4b1e418b","rejected":{"artifact_digest":"sha256:1261e83574ef2fcb46c3a17e459a4537cb9795ee6c2cf2a1d436a163b1f51cdf","candidate_id":"sha256:38dc2d4de6f2589cbd28de79ab0de8422d6124fdb2a9216f8d3d0de01ed0c62a","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"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 = (-2, -4, 2, -2, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b40be4a0a4bc615a423de5471d6eef518ba6b6d7d674227f842a7bf578f5211b"},"sample_id":"sha256:9f9d4da3f1ecff5ffecb2166de5bc9c4ac7bb0ac21421eb3d62341b934830b6a","source_transition_ids":["sha256:4e2343b5e909e926c13fa047c0c919d19263328f2fcb3116660fac531087dbec","sha256:83ed290f12eedcdb6c11552a12527474fea12b08ab822e29632b62fb6c818511"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ba58a879b7ab38d3ef3d79d74c58803ded6901a1482a8551516c554f8ba97847","candidate_id":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","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, -4, 2, 5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dc64d3091b34a18bf366283857b89abb0bfefe7cf25b4c43c3a98610830f547a"},"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":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 7, -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_009\", \"quadratic_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":"sha256:7049d6ee721e8017a91705019b5e032800f776e0e40f30cd9344458430e169c5","rejected":{"artifact_digest":"sha256:b27a336600b97c07da013fe094d4858343736db74770af5ad7887505a77d06e7","candidate_id":"sha256:3322b8c9e4b5457c4ab7d7f0d29c96e0c08d66a54df052b776f2050814397e04","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":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"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, 1, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c811eb418a84fb85ed97f04a37c835609f66eb9bc5e0cdb7ea36e4113d464b8c"},"sample_id":"sha256:7c34826528ed1b57e8b7c8fa558c58181df93c09a2f46e786d4f429d2f794a79","source_transition_ids":["sha256:4e2343b5e909e926c13fa047c0c919d19263328f2fcb3116660fac531087dbec","sha256:a53dd6e75815c640ea338aa1adbdc5bcba0ac07726fa579e23aaa89491d180b0"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ba58a879b7ab38d3ef3d79d74c58803ded6901a1482a8551516c554f8ba97847","candidate_id":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","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, -4, 2, 5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dc64d3091b34a18bf366283857b89abb0bfefe7cf25b4c43c3a98610830f547a"},"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":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 7, -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_009\", \"quadratic_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":"sha256:0d242fce3101df63d2e6a5e699b0dc2f1dcfea68596d3102b28f5c8b48e70d07","rejected":{"artifact_digest":"sha256:36c2cdb8aa1ff6670c5c23a54c88f9ddffe07f71b1dce54dd0aa0e8d817b58cf","candidate_id":"sha256:24f8b24f9babfd1b43c16c839d20b0ed6ada811e336d170bc2b533e35626ccf7","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 = (-2, -7, 2, 5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f86cc914d7180c505e94dd90174384a18454c62bfa95133088f0d3eccdfcb4ab"},"sample_id":"sha256:663201dc841ae5e9256ed6ac2aee2b04787356f019327fadefeb44ea2f438ec5","source_transition_ids":["sha256:4e2343b5e909e926c13fa047c0c919d19263328f2fcb3116660fac531087dbec","sha256:8a4828321fe31be9079a5e782fa81ff31f7bc4d10b073a29e04f6d502c7562b0"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ba58a879b7ab38d3ef3d79d74c58803ded6901a1482a8551516c554f8ba97847","candidate_id":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","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, -4, 2, 5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dc64d3091b34a18bf366283857b89abb0bfefe7cf25b4c43c3a98610830f547a"},"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":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 7, -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_009\", \"quadratic_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:ae93632235d98dc488a3b1950089db0548df19da6daf63d5870b380df7f511bb","rejected":{"artifact_digest":"sha256:8f5e3cb089f3b9ff0c86fb8acc27dbc76eb61f25148d067c646039a3ac738888","candidate_id":"sha256:54e784c6cd1ff8beaf6c4950b45ca59ce8703214c2aea515ce8749f17982f80d","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 = (-2, 6, 2, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0e19f1cc244df3939ba7e8585624693863e71edbd7f0d793727c804936f1f590"},"sample_id":"sha256:1f829d34630f86b6c44f92cd46d72231ae4810d427a958ab6b0f848ed2195033","source_transition_ids":["sha256:4e2343b5e909e926c13fa047c0c919d19263328f2fcb3116660fac531087dbec","sha256:b1230d444f352d74eab03245ddd8eef3f565b7c31b5c6d8fa0d80cc13adbd00d"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:f6ca7ce83075cf355f6e5d16df88e4af46dd1fb3c3fe0687921c95c63c79a1bb","candidate_id":"sha256:6e651bebdbead960f33659efdaa8d63dc93ee8cffd846957bb1b0254fb740d2e","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, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c46dd2c9786656ab51743e927501e582bbd1d7f90f1fa560175b89bbb19cae0c"},"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":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 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":"sha256:1dff71df5b89338def48599b8297ca1defcf28ac3accc123259f0761b0dd92fe","rejected":{"artifact_digest":"sha256:6996ced8f0db03fb92c209941118a22f03722218f2a567f41ce847269256ebcb","candidate_id":"sha256:4d2781c4f4a9b6798df846b03971273f4c5bf12500d4e2e129e796432cf07e89","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, -4, 2, 5, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:861b67e315fdbc550a2c24e1289e5bcf20757ec5149116f03c87f1201c86b4a4"},"sample_id":"sha256:566ae581b3077cee13ccbe92acb0d5a5e7c2be23a4a18c12f8ab7ae19de70567","source_transition_ids":["sha256:a4e9f63c9d5363e8bdc1a0064e06c8eaa8213ca53d28f80bb75c41524724d742","sha256:aabca1d6b1e37aceeaac3877e3a7b85a01801c4879a56a7417c3b846eaaedea7"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:f6ca7ce83075cf355f6e5d16df88e4af46dd1fb3c3fe0687921c95c63c79a1bb","candidate_id":"sha256:6e651bebdbead960f33659efdaa8d63dc93ee8cffd846957bb1b0254fb740d2e","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, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c46dd2c9786656ab51743e927501e582bbd1d7f90f1fa560175b89bbb19cae0c"},"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":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 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":"sha256:4559b23b05dcfc2a10522d611f6ceb2b105e03972ec20cfa38da29797fe798fe","rejected":{"artifact_digest":"sha256:168a9a53a8b277ef18ce694f989f5318b1cffbef11ff251ba317cd275ddede1d","candidate_id":"sha256:136909a34a7574d87061d9ec8636f2ee6b89e16be6b596cd440e55bde507cc0c","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"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 = (-2, -2, 2, 5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:29e0eae80345341fd1b55e7253b1d47ee8d955f665170d8b26be41c5cfc9b4be"},"sample_id":"sha256:0758c47b55a1b72db3a718726ed678dcb6e6f2b93082786320eae8844cd24c5b","source_transition_ids":["sha256:a4e9f63c9d5363e8bdc1a0064e06c8eaa8213ca53d28f80bb75c41524724d742","sha256:32d7f26589a7fcc18acbe57bcbf7d755e5e7c9173fd8ffa8221ae79898172c7b"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:f6ca7ce83075cf355f6e5d16df88e4af46dd1fb3c3fe0687921c95c63c79a1bb","candidate_id":"sha256:6e651bebdbead960f33659efdaa8d63dc93ee8cffd846957bb1b0254fb740d2e","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, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c46dd2c9786656ab51743e927501e582bbd1d7f90f1fa560175b89bbb19cae0c"},"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":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 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:f4f8d8583546bb854487ae0d08297f5b1e0947dcd841e780fa40ffc8e4f5c063","rejected":{"artifact_digest":"sha256:051ed99ccab729518b5486056c2d4cd89d3ab915715d3a7a80c33dfbaa05435f","candidate_id":"sha256:bcf343c5840376a45360845cde247054589bcee97ee5c7dbbe49f9e5db44188c","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 = (-2, -3, 2, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:02f0bfad016165e073996ddab632a7fb87c249a1b656ad4da2c2aa0d7289ae96"},"sample_id":"sha256:00ae8b4b51ff1770d974ed7c9c187e3eca993683882c1473aba8368d2ebb16f1","source_transition_ids":["sha256:a4e9f63c9d5363e8bdc1a0064e06c8eaa8213ca53d28f80bb75c41524724d742","sha256:132fe9964a77fb4de67e1dd67aff17cc5b4c5e513b2055b0941ef373af92cbf7"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3ed220e3e955d709f6761dcfd22797d44b2a017234ea6f1a14f4695be57b9591","candidate_id":"sha256:99b0c607ae66281768bbb42744b4c6404e0548c657d4692c27aeeb77b95dc5ca","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 = (-4, -2, 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","verification_digest":"sha256:b96b5b750e4f24aedb97318338234f431e19ff238fcb773adcb1b9666864eaed"},"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:d97e91aed116cfebe2eb36c7b9c102f7dc57b6eabdc82784d4d1a4c4151b6e55","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -4, 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=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":"sha256:399248bc3b458fd54c33b0928081d8bc6cd63a4a19072e7f08da55c7b485d814","rejected":{"artifact_digest":"sha256:db9a6226d5dedf5ccd3badd53495e93fa840d56197f158ad0c8149306e4e5083","candidate_id":"sha256:092faa2b270625bbf2cd4f031ab3c11fb5314c099339e247ae8aabb194fdff78","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 = (-4, 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","verification_digest":"sha256:fb1d981cf8008de051525e8fb880fcaac46034ef6058a76ad5bc0a2e5e788271"},"sample_id":"sha256:beb976e5903977c6239f8d3bd0809776a3f6e7a3eeda6a7ffa928367e3c8d20c","source_transition_ids":["sha256:67a5a9d11960958537b84622d6a5252f5f126ef7a2955f5cfccd978b70bfeac1","sha256:b49018816b1a8aa089cdc46ef390bfc8f4239a23bb07889c8be70d3244072b72"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c4b554ca60c623abbc746871795fb6c8963a530829cf760c06542c0926378341","candidate_id":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","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 = (-7, -2, 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","verification_digest":"sha256:73d294dfbb84677fa4ee984501a92f277f94dbd0f71792b71f487403c70ad724"},"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":"sha256:99b0c607ae66281768bbb42744b4c6404e0548c657d4692c27aeeb77b95dc5ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -2, 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=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":"sha256:22cd244ad6920f624fb9d8e535c35e41b854633db47bc4924978a5a6030aac7a","rejected":{"artifact_digest":"sha256:3ed220e3e955d709f6761dcfd22797d44b2a017234ea6f1a14f4695be57b9591","candidate_id":"sha256:99b0c607ae66281768bbb42744b4c6404e0548c657d4692c27aeeb77b95dc5ca","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 = (-4, -2, 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","verification_digest":"sha256:b96b5b750e4f24aedb97318338234f431e19ff238fcb773adcb1b9666864eaed"},"sample_id":"sha256:81c66ea64a846839293544db5ed09ccb5fbcd86f707f0b1ffdeb171bf04e8938","source_transition_ids":["sha256:ee3a247fef3f3a7d2a9a645e0eb4ca18988dfb6723656e05df6c36a506f0c63b","sha256:6bd1b4b1bfbb9001a1a150826638089dd27da50134084e23f8d14cf4fe1f5ae2"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c4b554ca60c623abbc746871795fb6c8963a530829cf760c06542c0926378341","candidate_id":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","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 = (-7, -2, 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","verification_digest":"sha256:73d294dfbb84677fa4ee984501a92f277f94dbd0f71792b71f487403c70ad724"},"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":"sha256:99b0c607ae66281768bbb42744b4c6404e0548c657d4692c27aeeb77b95dc5ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -2, 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=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":"sha256:376dcc36d0feea8bed3139c037ea790ea60e6bb6ea567145160c50b3dc888f43","rejected":{"artifact_digest":"sha256:259e3620c5e3ce676723b4b3ff25c63d812aee8b62fa9db2b5cda9535233592e","candidate_id":"sha256:4b7cdd720bd6a0f79e095778c02de1fcbd50a87f41f574300ba2339ae17febde","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 = (-4, 7, 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","verification_digest":"sha256:070244c9708ba013e81a04a80d6eba6f982137d4c2c87f33c3386a3e6aa30c57"},"sample_id":"sha256:bf765c87a47c429922e29b0307ebf142220b21596b4c986d8a164792220c5576","source_transition_ids":["sha256:ee3a247fef3f3a7d2a9a645e0eb4ca18988dfb6723656e05df6c36a506f0c63b","sha256:637b8e21bbba44c0b9a9da1454394bafaf3a16f2987aa6dd842799ca95b1f279"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c4b554ca60c623abbc746871795fb6c8963a530829cf760c06542c0926378341","candidate_id":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","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 = (-7, -2, 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","verification_digest":"sha256:73d294dfbb84677fa4ee984501a92f277f94dbd0f71792b71f487403c70ad724"},"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":"sha256:99b0c607ae66281768bbb42744b4c6404e0548c657d4692c27aeeb77b95dc5ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -2, 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=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:d2477d92619b7a7b7f5ab69f2988743dfcda7c1b7f1aeebee9dccbaeb5e6bdff","rejected":{"artifact_digest":"sha256:85e01b9819435a502c8acdf4fad35f9de8045a4185e3110dbec24a6b27e6f0ab","candidate_id":"sha256:0791e5e35a018e091f51a435e391fe6b6f617a1de167df1b2473c67555199850","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 = (-7, 3, 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","verification_digest":"sha256:9d0a913a4f59af10cbba769bcc5c31555998d1299b0d38800515a1851fcf02a8"},"sample_id":"sha256:e223d8148cfb6318347ae511b30770c16ef47acc2a4b353b3edcecb9a93552f3","source_transition_ids":["sha256:ee3a247fef3f3a7d2a9a645e0eb4ca18988dfb6723656e05df6c36a506f0c63b","sha256:663fc352159dcf560df96206042560d391d3c5bca659e456782e5996bdcbf198"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c4b554ca60c623abbc746871795fb6c8963a530829cf760c06542c0926378341","candidate_id":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","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 = (-7, -2, 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","verification_digest":"sha256:73d294dfbb84677fa4ee984501a92f277f94dbd0f71792b71f487403c70ad724"},"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":"sha256:99b0c607ae66281768bbb42744b4c6404e0548c657d4692c27aeeb77b95dc5ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -2, 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=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:a65fdca5b5aabe72908312db64a71eef8a486556b164b7e6f788d2d2b1c4106b","rejected":{"artifact_digest":"sha256:88a33bab30001c923b36103758ea381bcc8e2ebbbf110de4a5b9779a8ed93d3e","candidate_id":"sha256:802d2e9da9078505ef2d07bd2c3ab2f559b1cc5c39d373aad38d28ae91154fc5","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, -6, -1, -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:fdea8cc4c14fda886f98dd8ac76747e8eb78c767ff2368f5f28420b1ae8c2de2"},"sample_id":"sha256:13f6228c22d7a8f81c28d14916628e985ab46104d8d47852b0feb099ae7f0b2d","source_transition_ids":["sha256:ee3a247fef3f3a7d2a9a645e0eb4ca18988dfb6723656e05df6c36a506f0c63b","sha256:defbf098db37b031d725538c913bc1180aea074e6fc8ab84e5267fe10d46f485"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:bb6a14a657099abcb9e0faa0ead7ac685df8d7cbce4d8fc05f298051df9061c5","candidate_id":"sha256:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","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, -2, -1, -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":"sha256:6e41767b1eb63b8b523df2374dcd98fceb3674e3355009e2a9e830c0e3de3adc"},"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":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, 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:a1e274d4d130998f04512af29b15178215f1f9083921ca0f1b894c697ce93c13","rejected":{"artifact_digest":"sha256:daaa29e30f9343c4511ee8f914dc8e4dba16e15a37163f34dafc9ac3a31c7afc","candidate_id":"sha256:535de2094167c63454a60f75535a1735c9e059cf0e34d36123b95fb525dfaf66","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":[0,0,0,0,0,0,1,1,1,1,1,1],"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 = (-7, -2, -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","verification_digest":"sha256:47e89e4ddc9bfa11c38bda4b1cc1af9fe90f1f422ace45566e209fcc4ec8034c"},"sample_id":"sha256:c19d76be9f92481a33ba83f5c9a87ecc34073e29be507944c108e1e172c7df67","source_transition_ids":["sha256:5c53836f4c0e8a7c6634ceebec55b1568f5d5760885a55c2cca82690feeaf16d","sha256:9047d7412897b6a54fee40243141184ec42f01ac832f9ab4646755c9a481a597"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:bb6a14a657099abcb9e0faa0ead7ac685df8d7cbce4d8fc05f298051df9061c5","candidate_id":"sha256:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","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, -2, -1, -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":"sha256:6e41767b1eb63b8b523df2374dcd98fceb3674e3355009e2a9e830c0e3de3adc"},"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":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, 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:ce77e456380d7aeb9ec01c09d91869c820757c136fb2e116bd6c3d9233959cb8","rejected":{"artifact_digest":"sha256:d5e782bccb619d2a895e52d306a90312101117c0cbf23aa09e3b58015e1ff019","candidate_id":"sha256:4ac9395ecd3caae9c34745ac456ad107f85aeb2b3b4d281aeb2e160086e1b964","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 = (-9, -2, 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","verification_digest":"sha256:8ba84eecea6653a7e7628eaeaeba55fa869ec4e9a1de1447c34ad2d8e43653c5"},"sample_id":"sha256:07048589d6f933279e8c394483b7e02b8342338192585404ff4fd0e93ae67819","source_transition_ids":["sha256:5c53836f4c0e8a7c6634ceebec55b1568f5d5760885a55c2cca82690feeaf16d","sha256:3a9fc714da6453e433365d2f479db585683cbceb1e884239d8af037c103b9891"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:bb6a14a657099abcb9e0faa0ead7ac685df8d7cbce4d8fc05f298051df9061c5","candidate_id":"sha256:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","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, -2, -1, -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":"sha256:6e41767b1eb63b8b523df2374dcd98fceb3674e3355009e2a9e830c0e3de3adc"},"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":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, 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:ea8c13f623df44321741aff436b553b10b7d4f6ee1144865cc848c3c260b8426","rejected":{"artifact_digest":"sha256:78f0edbe0e43f470a4bef6f2413bf785e462d253c888b8f97a8916e418265c99","candidate_id":"sha256:26bdfab2f3998333433261699b05b2cdbc5c82d7e3e5363be1837aadf1d2ab78","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 = (6, -2, -1, -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:b5d437c61f523fc8f35747e07ba8ca72e61c02ad83f44fec9a9e1da01170f9a5"},"sample_id":"sha256:cd6f94dc85e21ebe1c3df9dd6c22a370a10f753bc22df6ab5afb551379cc1462","source_transition_ids":["sha256:5c53836f4c0e8a7c6634ceebec55b1568f5d5760885a55c2cca82690feeaf16d","sha256:718971896c0c0cf7ad8e20a465c717ecbae3ce6ec89ddaa23ff5305e5e81ec8d"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:bb6a14a657099abcb9e0faa0ead7ac685df8d7cbce4d8fc05f298051df9061c5","candidate_id":"sha256:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","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, -2, -1, -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":"sha256:6e41767b1eb63b8b523df2374dcd98fceb3674e3355009e2a9e830c0e3de3adc"},"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":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, 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:f7a4f8b3309838c49a50471b1d9a3623dcd4e587c3df3ded998829891dabe51c","rejected":{"artifact_digest":"sha256:367d8d535b36cff5364a30b75897a5cd90ef56e4cd87e109c1eecb6bddfe0489","candidate_id":"sha256:5a1b20367899793e75534a918b36cbe04fda5b8d549f357d47fd907ff4fe02b6","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 = (5, -2, -1, 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:edc9ca3fe7836f2d411b03edf11203734f7a3f066ca9fdb0b8a725adf2240a33"},"sample_id":"sha256:2f541510f2e618167953e5ab976703b258bcbe96642e3031769cf7d2fc0103e8","source_transition_ids":["sha256:5c53836f4c0e8a7c6634ceebec55b1568f5d5760885a55c2cca82690feeaf16d","sha256:922ec84553fd35bab7e096eb6c11042326387ef3c6b948ec1e70580c7ba798be"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:76df26675ba37f30b3f1d5bbc310c7232cf2d07cd11434c384c3a534d3c89f6c","candidate_id":"sha256:3f9d78b526add12cf32bcc9af7bb86a9f71d4b24731009beaf1e8a25fc1a796d","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, -2, -1, 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":"sha256:50ad7622fa98006fb685de870c347ca12f1fad607e606a2cc9f62858e3fe7d56"},"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:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, -1, -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:e65decaa61b3abf5ba840a38024d43f4327cc203602816de43f53508d962645b","rejected":{"artifact_digest":"sha256:26978e83e59f68c8752c7b82bd2516aafb155e72e29f199c75561a029e8ee273","candidate_id":"sha256:07b27289dfbf3ad36c0410091af725c5f6ce280a1b880dccd5656a9aed62fac5","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    offsets = (-7, -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":"sha256:505377e316576b6060ffc348411d0eccdbfd208ada403b24ba656992fef7ad07"},"sample_id":"sha256:a0fcb91c315ca0ba6c0bb9f98c9e40e6ab34b0888964e466fabcea43c82e2d01","source_transition_ids":["sha256:50a3ebe2667b62f78461e6742339e83f299d0fb65e39caca581c41c7631e409a","sha256:322327da07b9d529fea4a438f3aaea56907cc393c008fef69b0e74f817a53381"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:76df26675ba37f30b3f1d5bbc310c7232cf2d07cd11434c384c3a534d3c89f6c","candidate_id":"sha256:3f9d78b526add12cf32bcc9af7bb86a9f71d4b24731009beaf1e8a25fc1a796d","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, -2, -1, 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":"sha256:50ad7622fa98006fb685de870c347ca12f1fad607e606a2cc9f62858e3fe7d56"},"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:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, -1, -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":"sha256:23316efe2b73cb430cc470b1f21325f867692484908460b448f351ca23d52e66","rejected":{"artifact_digest":"sha256:0bd6ed23578ef9a7aa864ba2efd8f732a1916bfdb2e70fa9db5d536eb978f394","candidate_id":"sha256:d44e2fbf27c2fcd03ab87571083ae1a38c9cfd793feee562080d44b0246dd085","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 = (-7, -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:e393bd53da18fad6cffd48a3fab7cc8e9fc05665c94b737a29ddb41d65c71744"},"sample_id":"sha256:5d4a373f1b45c09a33967119c7a3cb77c06d2e485ca287ac4a8eabe7a3bdf1e3","source_transition_ids":["sha256:50a3ebe2667b62f78461e6742339e83f299d0fb65e39caca581c41c7631e409a","sha256:2fc1fcd6c5784a40e52cc94e094677bbac608c5600efe6b1e137236adfc2200e"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:76df26675ba37f30b3f1d5bbc310c7232cf2d07cd11434c384c3a534d3c89f6c","candidate_id":"sha256:3f9d78b526add12cf32bcc9af7bb86a9f71d4b24731009beaf1e8a25fc1a796d","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, -2, -1, 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":"sha256:50ad7622fa98006fb685de870c347ca12f1fad607e606a2cc9f62858e3fe7d56"},"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:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, -1, -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:e83e980289a7c69f074594053478c3043880d853ab6046afff56ea8b8efccd3b","rejected":{"artifact_digest":"sha256:367c2963898bc65978468adaa7d68a7f7fa18ce7eccf7d8fe725bda4c289322b","candidate_id":"sha256:20686dee738d6681ae2ed80314ddf581a19a0e85a65d81fdaa8db1f44180962b","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    offsets = (-7, -2, -3, 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:bd965a6c7c00764e29432130ca158b9919d10be364c9c70d17036595d0f8cdb3"},"sample_id":"sha256:f486105eb87138a45ca6e5001edad08281808c74f406c66d6452ab4be8ccf333","source_transition_ids":["sha256:50a3ebe2667b62f78461e6742339e83f299d0fb65e39caca581c41c7631e409a","sha256:94a328142f6458964e21ffa847f72bac5f0e399b84fc8397ae2045016c214f14"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:bf4226a0c83d2fadeba93c64d160d32b3eebaa227d71f230b26406a54a619ebf","candidate_id":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","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 = (-3, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b66dcb8e41410f8f6894af650bf8ba9ca1129552a227caff810ce3b41b8df0c1"},"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:b52f9ce7fa710d0793e4fb26c44a19beeefdd5792bb6ccd175b85d77ea26df5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, 4, 2, -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":"sha256:94223af9677adf4ca148d3b1863ab32c17823994790d529904e16ed998edec5b","rejected":{"artifact_digest":"sha256:41d399f38d426ae405cfbc8dce848c50978236dda74bdfe1f2b654fd3e4df7e3","candidate_id":"sha256:301b3df4e9b6ddc000174abd1a4cb039dcf224ad20593e00a5e32a1fba585431","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"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 = (4, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:479e14dbbcd5b33c367bb230d002c616e5c6f1916ed0ca39e7900b3f29d94e54"},"sample_id":"sha256:91632b96c56438a8e6fb467a4ca8d70836227dbb62c6c633e8845ff721649e31","source_transition_ids":["sha256:380d3bf2aad83416dd739c5d39dbcd98b63be463ca470f4cf3c4f095358fbd05","sha256:b627aec0e0459bfa029fb1e8dd60185412cf1de9220831fb68f295beb42b1c67"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:bf4226a0c83d2fadeba93c64d160d32b3eebaa227d71f230b26406a54a619ebf","candidate_id":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","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 = (-3, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b66dcb8e41410f8f6894af650bf8ba9ca1129552a227caff810ce3b41b8df0c1"},"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:b52f9ce7fa710d0793e4fb26c44a19beeefdd5792bb6ccd175b85d77ea26df5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, 4, 2, -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":"sha256:9715d673ecadda98eef28fb460190e473e09a415bfe1ee871f484fbbec416223","rejected":{"artifact_digest":"sha256:a7e912b86888ab0fa28ae47cc0f3f6a65689b170a6782dce5c083e170833ae73","candidate_id":"sha256:92b7ca8a2c5e9992db31e3950abf23341982197d88a6b0ff8f907b65f55a1cb4","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"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 = (7, 1, 8, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c5032c6ded54f6c04354da382defc43d14a102ccb2c89bfebb662532a6d684aa"},"sample_id":"sha256:f08b711f9ba6d78c760a7bb97d06b7e7a491e3ef8d6181b82820913248b71f90","source_transition_ids":["sha256:380d3bf2aad83416dd739c5d39dbcd98b63be463ca470f4cf3c4f095358fbd05","sha256:557e687edaa7b46a107c8cea2c5c770cd253f7860034a73ac2aec4472b21ba18"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:bf4226a0c83d2fadeba93c64d160d32b3eebaa227d71f230b26406a54a619ebf","candidate_id":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","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 = (-3, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b66dcb8e41410f8f6894af650bf8ba9ca1129552a227caff810ce3b41b8df0c1"},"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:b52f9ce7fa710d0793e4fb26c44a19beeefdd5792bb6ccd175b85d77ea26df5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, 4, 2, -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:f86ea5003d00c8eb972e955a4667b4a7f35ae995a4051c0dc7b0000ba526ac50","rejected":{"artifact_digest":"sha256:ed8ecff5f5bb7093f03e4ee03d39f82632eb045e9dddebda0c6b874a3b3c29da","candidate_id":"sha256:0d0d49d8a09671379018d70e08ee78259ec383e3032baf2424d35d11ad0be13f","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 = (-3, 1, -4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cee7c66b4c32f9a983ae485427b1c41d95d520f140bebd78b7312024161ede90"},"sample_id":"sha256:18006c6b7b73b9c51da3b54ddb8422609d4d5ca7766d157f634122a93d4d283c","source_transition_ids":["sha256:380d3bf2aad83416dd739c5d39dbcd98b63be463ca470f4cf3c4f095358fbd05","sha256:84a6de59da4e7c4257198423ba464591e0c28b811b390cc341f05d266994e3c6"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:bf4226a0c83d2fadeba93c64d160d32b3eebaa227d71f230b26406a54a619ebf","candidate_id":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","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 = (-3, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b66dcb8e41410f8f6894af650bf8ba9ca1129552a227caff810ce3b41b8df0c1"},"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:b52f9ce7fa710d0793e4fb26c44a19beeefdd5792bb6ccd175b85d77ea26df5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, 4, 2, -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":"sha256:9309eb4200a5a56738a00b3c5e32ebf0b17e07e517949144ce5774db8ae504ba","rejected":{"artifact_digest":"sha256:4ab4f4d984410e4f25433ad00f5760938f689983022154fff7c4e88285f768d8","candidate_id":"sha256:74e13b10ee4f509a37448c52b5cae8325a98048d186b0c65d06e7c2fa8cec6b4","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, 1, -2, 2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0373894b4bc0f12f7148a0fb26db1d1cf7a0c2df41e25954ed4f0cdc5bc222ca"},"sample_id":"sha256:a3972543797a97c3e9aa36bd59fbce741149329baef3af714ef7cee7cee10194","source_transition_ids":["sha256:380d3bf2aad83416dd739c5d39dbcd98b63be463ca470f4cf3c4f095358fbd05","sha256:12b088cc1d0735b4dd47f2183af4c042cc80a00042dbea26acfd1eaac8f00371"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:21d7051875f95f90a8bd89ee57407d2379fc2b91f03cab3386a8ec677b767f07","candidate_id":"sha256:88826f8972cee6fe588b5ae2d6a373495347427994fb855fb81e06447239928f","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, 4, 2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1e90b79823668a22e88909de49c0cb9877e9069d197b98d3abf1690be973b475"},"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":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 1, 4, 2, -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:f83a929206a5e386e330074fdbfa70c9130893887cd6c5035e41ac606456cde9","rejected":{"artifact_digest":"sha256:083d954ce87584a3f1e0c5e971d3839dc3cc9f1155ea88e5430a42f29bc1771c","candidate_id":"sha256:8cdd887e6aa2e4b35a1d6e3ff83b891b97f85da09aa5e548bfe15fb6e74cb7d0","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 = (-3, 1, 4, 2, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:af996aa39951e79903d0a85c7d23e4660c34aff8fd5f276853b950c7ca1a5b1b"},"sample_id":"sha256:d53c3aa4c6a364e9f6b1a1c06357c892c5183fd9677e33d65b3e51244f96c57e","source_transition_ids":["sha256:532473bf534ac2a57df9f5754b8db4f902e19063794d4c9e58630f998e366b18","sha256:e5ebdf6148f1bf2cd3f0c6189b3130931d9c456fb0aef61c8e869435ac15d871"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:21d7051875f95f90a8bd89ee57407d2379fc2b91f03cab3386a8ec677b767f07","candidate_id":"sha256:88826f8972cee6fe588b5ae2d6a373495347427994fb855fb81e06447239928f","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, 4, 2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1e90b79823668a22e88909de49c0cb9877e9069d197b98d3abf1690be973b475"},"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":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 1, 4, 2, -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":"sha256:063a393ef40a0988e99e9e1103e504d67c925fe9bced852a713ca8b9a3d349e3","rejected":{"artifact_digest":"sha256:b706541bcff1d2b6fb28d7e07a7f3802b16cf5478330f4878065ac7bf89d9e0c","candidate_id":"sha256:6ae19a45c49bf2cef40a4f4fa02dcf27404303e9e411d68f5234da22469a8611","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 = (-3, 1, 4, -6, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7b32f3789b76b084f32d77b8fd9d6c42adb587c84d69f1dd357ce356c88eb9eb"},"sample_id":"sha256:167700d366a07273f00a76ee5f613213a24c5461903962c6f52b23ae3f6cad45","source_transition_ids":["sha256:532473bf534ac2a57df9f5754b8db4f902e19063794d4c9e58630f998e366b18","sha256:c7f2ebeca3919d4e1b12e5dc04eb44ec2c3473cf6564bf554b18626aac6a281a"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:21d7051875f95f90a8bd89ee57407d2379fc2b91f03cab3386a8ec677b767f07","candidate_id":"sha256:88826f8972cee6fe588b5ae2d6a373495347427994fb855fb81e06447239928f","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, 4, 2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1e90b79823668a22e88909de49c0cb9877e9069d197b98d3abf1690be973b475"},"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":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 1, 4, 2, -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":"sha256:731f69977d0c3ec69c6ecd8ba01becd9bcb686add1ab7a52d3cf703429f73830","rejected":{"artifact_digest":"sha256:09059354dba3ad7e044d21fc0b115e9705d803cad2fd4d7dac23a5b17de57f19","candidate_id":"sha256:0b23f26720931c3b4149924e6c2f81066be2cf3d8b8e8c7bf3e3de3a3b69a537","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 = (-3, 1, 4, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:77ad5b14b26e14d3e5840417748b6d2af0c6b610caae74f93d3b8c5c259d49df"},"sample_id":"sha256:41179d81972cfbe282160dfa37bfcb69d251f78a632b61f05c6e39964fabd8d4","source_transition_ids":["sha256:532473bf534ac2a57df9f5754b8db4f902e19063794d4c9e58630f998e366b18","sha256:ae1ed4c7308b3c5b3c5338b83c87ddcfe1c19f886633f3aa58eb21652ff129a7"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b2d3805fee3d5b3c3654109f0fa6e72fb999161c4f1baa13cd25ea3223b95034","candidate_id":"sha256:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","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 = (4, 4, 9, 3, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d371c43e8547cd97385ca80f669262daf195f21574ffcaccd0c73022ad68c0b0"},"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:d00c61965d5e05f5ef36e088da0ea2802c299e58be643eace72f81624b442e21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 6, 3, 3)\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:cf8c72b3b92809f012269b2d05b6a6460dd666dc5fa5a0c39547939b9412b04f","rejected":{"artifact_digest":"sha256:7e5c7c148c92f91e9364b7c8e0b461ddfd402e7ffbf8387d19b1e68d6ef7be28","candidate_id":"sha256:915ca08d7f28d5293567655f6d3f5a79f49b4761c407700399b0ba65f50d6959","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"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 = (4, 4, 2, 3, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:4c28cc53b2c05d72aa56eaf4114589f01a8018baa9d8180b39fee1c5e2752018"},"sample_id":"sha256:b235b01fc60d03fed10ec689c75bc85a331d0588c0241514d908838648f1e055","source_transition_ids":["sha256:e2fb1ef7047721feafa37f4a59b2dd162bec34e742a1b2be9350dd4a46547819","sha256:3a100be8def4b6034562be9a912f31cdae04ab4c5ee0fb5b527d86e28e5a9722"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b2d3805fee3d5b3c3654109f0fa6e72fb999161c4f1baa13cd25ea3223b95034","candidate_id":"sha256:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","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 = (4, 4, 9, 3, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d371c43e8547cd97385ca80f669262daf195f21574ffcaccd0c73022ad68c0b0"},"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:d00c61965d5e05f5ef36e088da0ea2802c299e58be643eace72f81624b442e21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 6, 3, 3)\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":"sha256:6990a252cc7115e2ff446e46b8e44c0ffbeecf340fdcff8441d186f5644d9f30","rejected":{"artifact_digest":"sha256:981e1d8995e7c9a3942449c6dbf17fb136bc79b42fac625cd2c83da997af2ac9","candidate_id":"sha256:0620616e14b1214067f4d30d3359f2e22b12bf45110e6fd75a74b405ca6f1136","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 = (4, 4, 6, 4, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:fdfee55095e95233882a69277286614faec3aec4410f0bf29e973eb11c0fc578"},"sample_id":"sha256:977b5f3441c2e2661ecdc63e4a1f0be2917694f339d16bde3de4fa68f752bd6c","source_transition_ids":["sha256:e2fb1ef7047721feafa37f4a59b2dd162bec34e742a1b2be9350dd4a46547819","sha256:b181943e5bee3bfe167b932b66a577219170412da56fb754cc527ab90379f07e"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b2d3805fee3d5b3c3654109f0fa6e72fb999161c4f1baa13cd25ea3223b95034","candidate_id":"sha256:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","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 = (4, 4, 9, 3, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d371c43e8547cd97385ca80f669262daf195f21574ffcaccd0c73022ad68c0b0"},"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:d00c61965d5e05f5ef36e088da0ea2802c299e58be643eace72f81624b442e21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 6, 3, 3)\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:dad6acbc181bbd5c3b02878874b68029eae6413d1bf123aa3ee29e3027ec56af","rejected":{"artifact_digest":"sha256:3f921897ab8e20426b2bc505e4a5634961d94807663c62f7c7025ccad8b8a2ca","candidate_id":"sha256:92c3b8c0c09e87ad5d390e64e508bc5cd869beeb4c96c913c08cd4b4432fa664","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 = (4, 4, 9, 6, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6277ee634c97594979645a65d98b52adeeea5462681c4aee43106146861fef9c"},"sample_id":"sha256:dc04cb44f9b60925354cb5c48aeeb3b4b6a6dde62917b338a92581a6e43be174","source_transition_ids":["sha256:e2fb1ef7047721feafa37f4a59b2dd162bec34e742a1b2be9350dd4a46547819","sha256:6438a66f36ec945da2eff22ccdb8775e7c12b1bd549b487734871cc31f26c489"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b2d3805fee3d5b3c3654109f0fa6e72fb999161c4f1baa13cd25ea3223b95034","candidate_id":"sha256:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","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 = (4, 4, 9, 3, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d371c43e8547cd97385ca80f669262daf195f21574ffcaccd0c73022ad68c0b0"},"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:d00c61965d5e05f5ef36e088da0ea2802c299e58be643eace72f81624b442e21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 6, 3, 3)\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":"sha256:1b580866ccfa8560e24b3ba28f58262b415483849673fa389fe085b48420da45","rejected":{"artifact_digest":"sha256:a458cb1d11614772ffb1a3754bd41143b16942d4ea6a4bccb2c91a4df398eb76","candidate_id":"sha256:936d565649e4b4bbb408eb641dc60490b242c4071f56c8a3639a4cecf0d129ba","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":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 4, 9, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:89bdf825182e9c1759c2d0c487ecde1e38ce1195011a383f431efaf81ae2ebf5"},"sample_id":"sha256:c03c2c1c9b392ba05cb6f50d62503473d4b96df3eda40d499b5af945628254d7","source_transition_ids":["sha256:e2fb1ef7047721feafa37f4a59b2dd162bec34e742a1b2be9350dd4a46547819","sha256:3b0436e8d8a5a972e65df7090bdb1f991d2f5525a36f03e7c1b9d830fabea8cf"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:807d274affdd63d5b9bd1eff753935733e2d152ac904195d468bdee90b916426","candidate_id":"sha256:699ffa29e022561d86287592418b5a9aa2219ba757b9881e872ba1d795431faf","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, 4, 9, 3, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:5df265835cea4ca834452501d0f2e18203125cf1e3aa649d4245a9fd5d490e46"},"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:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 9, 3, 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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:39d49aabd6d65bbc905f9771f06dcb68738dd979db30f1cdb3043a6184c2613c","rejected":{"artifact_digest":"sha256:096e1d5cd1013bae528ce8f0ebf737afbbb7878db38a77b1a6f02fd8ce00ee22","candidate_id":"sha256:e461a209c36016bc018949075c6ec3529cf1523c5b983c0ef134b3fa5ed03860","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 = (4, 4, 9, 3, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:535472ae6e26aee824bdc505f7bd32177962ce9c7ff66bf166fee62513504bab"},"sample_id":"sha256:3b1e5ff79aca06776d73e76cfe439691e0fbe5cc91d1d534f536b6a96ebe7a71","source_transition_ids":["sha256:5aae2d27ce4c6dfa2ad168f03b38ef6b237d7733c628469b3ec4a021e8f57094","sha256:482c0a0078f6b1fd2fa7d6d2d9557dabb6bea0adaf054ec429029a7ba067fbeb"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:807d274affdd63d5b9bd1eff753935733e2d152ac904195d468bdee90b916426","candidate_id":"sha256:699ffa29e022561d86287592418b5a9aa2219ba757b9881e872ba1d795431faf","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, 4, 9, 3, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:5df265835cea4ca834452501d0f2e18203125cf1e3aa649d4245a9fd5d490e46"},"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:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 9, 3, 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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8e52ad610b744eef8e08365ef184e34aabf8c80285f6c6aa3058b4b3251dc210","rejected":{"artifact_digest":"sha256:6b24078ecbf4e7c20dfc165339418445e68b773abd6ad45fcb432b4c0c3c6ba3","candidate_id":"sha256:16f232050980595715fbf19073669674b6353d8e0702c3b4a8803c4675108757","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"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 = (4, 8, 9, 3, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0df56508dc77013b78971b41caabe741cbfe27b8094eef1c28a5dbd58228fe0d"},"sample_id":"sha256:94b83b0a49d3793f3f7371c57c1e70f87b5547cc8ea5dd4ebe308ff16fade2d0","source_transition_ids":["sha256:5aae2d27ce4c6dfa2ad168f03b38ef6b237d7733c628469b3ec4a021e8f57094","sha256:e9391247e30805be0b01a5aee7973d2db614f8a1166be20712ceabd63778339b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:807d274affdd63d5b9bd1eff753935733e2d152ac904195d468bdee90b916426","candidate_id":"sha256:699ffa29e022561d86287592418b5a9aa2219ba757b9881e872ba1d795431faf","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, 4, 9, 3, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:5df265835cea4ca834452501d0f2e18203125cf1e3aa649d4245a9fd5d490e46"},"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:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 9, 3, 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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c591abef7118e25d66250e9fc02b23911648d72c562f633c4a2e3ff321fdf6a7","rejected":{"artifact_digest":"sha256:23987aae50846eaae72c9a78379ce876a93cefed59c14dc2da1f7feee4d82ae9","candidate_id":"sha256:7122b4ce22ccc350ca6c5b64adcd815fd901aef865181f9088f7d7b3d30a7e8b","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 = (4, 5, 9, 3, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f4ba3f9682d0f2532dfe2d67bb65866fe1d39c17be122da42f1ee67cbd269e59"},"sample_id":"sha256:80b99db2a120e5f04df717ceda3b34f0e149c1bd54882521f34f86a2cb2aada2","source_transition_ids":["sha256:5aae2d27ce4c6dfa2ad168f03b38ef6b237d7733c628469b3ec4a021e8f57094","sha256:702117c477d675b16189b7203be4e3e2713b3f85c85c49558967d10a81552b41"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:69a70ee621ad511615baac052c1f3f81ca9eccee10861a97a4ba39fb6007368b","candidate_id":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","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, -7, 1, -5, -7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:030eb902b473536d7b9e5530d07fa1ae7bb1ae1274abadac88566150547481bd"},"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":"sha256:52c9f6268337bd75c47c0edd45f5efb438c56f3262f87549a6bb4e7dd9009f3b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -6, 1, -5, -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_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":"sha256:39d74b008d80c93fa984b968993bc07051e9dd868b3738c12740af8f21223586","rejected":{"artifact_digest":"sha256:2dc8c5df55b8abd03e5b67b65733beeed40606e4313a8d363bdd17740c514bb4","candidate_id":"sha256:f5179d00938f351deae2a343ad4f64a32a015e2e1c4677347c04d8a71405b66e","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"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 = (-7, 2, 1, -5, -7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0579f461b0f7b9cc1d0fd913732c54bdabd79da6888e62eae3890ba765a15d37"},"sample_id":"sha256:42376b261772097528809ee835f181002ac6306a26e6cce7571a8031b8d67f58","source_transition_ids":["sha256:968fc9fffedacc864a30cab258671c11fa246ba74dc7b4e1edc0c3f6cb611700","sha256:09b0a170ca281518803e7ca5033bd62f107c50f873af6ac4d39c3652b711149c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:69a70ee621ad511615baac052c1f3f81ca9eccee10861a97a4ba39fb6007368b","candidate_id":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","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, -7, 1, -5, -7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:030eb902b473536d7b9e5530d07fa1ae7bb1ae1274abadac88566150547481bd"},"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":"sha256:52c9f6268337bd75c47c0edd45f5efb438c56f3262f87549a6bb4e7dd9009f3b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -6, 1, -5, -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_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:d55bae5e7be7e895edcd1e48c71c080f30486495c14fb731397a99d451a009de","rejected":{"artifact_digest":"sha256:9bf606d90ce6a7c9c3446c092644973aaac51e3b62295fb4b46cfada363a98f5","candidate_id":"sha256:6c67e0780eea84bd8a83520fa8455ffbba8ea15f83f8ffc7730ef1871ecfaacb","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, -6, 1, -5, -7, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:424818f902e5d2b1fe5a3d0af7f30e045b5a379a4480dfd0cdf42000c4759965"},"sample_id":"sha256:ebbe7aea1b51d2c5c8e3908148965867fbca5fdd15dfbcb6efd747f68d774c27","source_transition_ids":["sha256:968fc9fffedacc864a30cab258671c11fa246ba74dc7b4e1edc0c3f6cb611700","sha256:8d307a5c2ee94652d93882af8e0e1a24a1c083c427dfe64760836a724a93a30e"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:69a70ee621ad511615baac052c1f3f81ca9eccee10861a97a4ba39fb6007368b","candidate_id":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","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, -7, 1, -5, -7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:030eb902b473536d7b9e5530d07fa1ae7bb1ae1274abadac88566150547481bd"},"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":"sha256:52c9f6268337bd75c47c0edd45f5efb438c56f3262f87549a6bb4e7dd9009f3b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -6, 1, -5, -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_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":"sha256:5345b5bb80b9ef8144cdc74780f7410b7ac95a19f94bdf1108fe1838769208e2","rejected":{"artifact_digest":"sha256:8f3119a143d02ed6d62679136324f5a6aa884fc044bb6ab7a96d9195a81689a0","candidate_id":"sha256:ef94b4563e8f23a29dfa86c12a10d71ad0f3a8950c6e32582270bb9bc1a094c6","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"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 = (-7, -7, 1, -5, -7, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3940b5c3f06357966d26b12199e6ece1563949760ce397cb261beb8d6bfe1b7f"},"sample_id":"sha256:0111893b6e9dfb1c8e07b45f363dde122e8d43ec436ed193cc7a11342966e0f9","source_transition_ids":["sha256:968fc9fffedacc864a30cab258671c11fa246ba74dc7b4e1edc0c3f6cb611700","sha256:9318094a7afe638fc222ce0e7bc8e8ce3a745c45edf7a46c5a179beb4514fdfa"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:69a70ee621ad511615baac052c1f3f81ca9eccee10861a97a4ba39fb6007368b","candidate_id":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","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, -7, 1, -5, -7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:030eb902b473536d7b9e5530d07fa1ae7bb1ae1274abadac88566150547481bd"},"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":"sha256:52c9f6268337bd75c47c0edd45f5efb438c56f3262f87549a6bb4e7dd9009f3b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -6, 1, -5, -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_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":"sha256:7a1f9e421c12ca468af945d402936dff79e60ec969b8dcb592eb007ef96be646","rejected":{"artifact_digest":"sha256:5f6cc6874e2cd9aa3deffe7fec23d9488efc613bbab1e3417de48c785030f7ee","candidate_id":"sha256:f79d6460f74b4ea0221591d2517bb378e49fa7fb949487dadb5468b947896b24","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 = (-7, -7, 1, -5, 2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0c599230c624e7c36c5f0b2228af4c5785a9575ef6523ebae7990fd2a03de2d0"},"sample_id":"sha256:0734290124ba3397a9b65e46cfcc2c3d835af37bcb6b2c4c9882fbb01b45a845","source_transition_ids":["sha256:968fc9fffedacc864a30cab258671c11fa246ba74dc7b4e1edc0c3f6cb611700","sha256:9dabf3cf300a33ad605cafd02f91bfa0f6323fbac565d9fd4c76546b389d95eb"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:fed93afe11251d52a53752b24d5aca129aadd4c03c8e89102274fddb9eda318f","candidate_id":"sha256:dc573e132578de9624d57af6079f022cfeb0d4cad3df7cf559d70a6a10fef63c","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, -7, 1, -5, 2, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c7c497c91dd5423497b3516b9d269140798450a2bd4e8fa9c92a9bd1bc1e8ba4"},"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":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -7, 1, -5, -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:c0b8285bb2fae6773621322153d2cd5f30b14aa004ccf2b77b4f91c37eda42ab","rejected":{"artifact_digest":"sha256:058e5d4dd2f1a986330d2c861cd28fccb01f5274d9a5bceefece8b0af68eb46a","candidate_id":"sha256:9bba9223c235b330cc51a6ddcd3d4dc908976592899410b76a028dc26fc62e5c","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 = (-7, -7, 1, -5, -4, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e39717950fa7c7f185a37230d92bc0c3049aaa9e2383dbb037b252fd87d92b3b"},"sample_id":"sha256:b87ba36138ac8b4cea22c655680d0d0a4ccc107a266479b2a2578d1e4c903b1c","source_transition_ids":["sha256:207bef985b529da0914b9e94b6250dfa143e7c7f536784a1eb9d7137c2e59f8b","sha256:c3dd490863abaeffd40b90de4b3a6c5c7c94150c76985aab386428f59057ccc8"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:fed93afe11251d52a53752b24d5aca129aadd4c03c8e89102274fddb9eda318f","candidate_id":"sha256:dc573e132578de9624d57af6079f022cfeb0d4cad3df7cf559d70a6a10fef63c","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, -7, 1, -5, 2, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c7c497c91dd5423497b3516b9d269140798450a2bd4e8fa9c92a9bd1bc1e8ba4"},"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":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -7, 1, -5, -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":"sha256:00fe8c42f6967d642f50683b0ce803b4c4f492ecb42128c80ab1f55d13edb6bd","rejected":{"artifact_digest":"sha256:fd3919ce343a08314bb248b286360a4bf8854a5279315347aca36fc629c99b67","candidate_id":"sha256:6c03c909e13d8a3c8b9a22267da68fc418d6f77cdc944102b57b65e391c03ae9","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-7, -7, 1, -3, -7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:79a36c6f434662c48c203215bc1b1b31032c411cd4b8d4b91ecea9cc7caff5f5"},"sample_id":"sha256:b0b19e6680cbb08f4f0e43ac8cbfbf7a830914c27f8501bd98811f4fdcebc55c","source_transition_ids":["sha256:207bef985b529da0914b9e94b6250dfa143e7c7f536784a1eb9d7137c2e59f8b","sha256:be15de8953895d96768ceef474c1c9c9cfd1fa6e285f37600d2381ac5aec4309"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:fed93afe11251d52a53752b24d5aca129aadd4c03c8e89102274fddb9eda318f","candidate_id":"sha256:dc573e132578de9624d57af6079f022cfeb0d4cad3df7cf559d70a6a10fef63c","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, -7, 1, -5, 2, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c7c497c91dd5423497b3516b9d269140798450a2bd4e8fa9c92a9bd1bc1e8ba4"},"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":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -7, 1, -5, -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":"sha256:0e210b7cc4c48d9d80a52a16252a6d28018d8b21840dcc86effeaa861cfcc537","rejected":{"artifact_digest":"sha256:4b14ba932edf8e5c090fdf374ed9ef62731e04f1937173108a1ce1c4a189b528","candidate_id":"sha256:cc67a6f9584df6bec1598d4e0ff9245acbc7cfa5871d933cbdb4aed1cc06d69d","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"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, -7, 1, 5, 2, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a270413e2f95c4b60171418553a35a3b40af35d5f2bb56d77acd23d5905d25e3"},"sample_id":"sha256:7bddafd60eb2607e562cc4b8400f45c00320cde64f9a3ce20467e5518936efd4","source_transition_ids":["sha256:207bef985b529da0914b9e94b6250dfa143e7c7f536784a1eb9d7137c2e59f8b","sha256:0f713374ca05b9cdf79aa6df04e63a5dcda33628268e2a152937975ef8953448"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:9b20acdff84a5f1b200553ae35f576088a63a72137b4d80de1d3c56aa2215976","candidate_id":"sha256:25b17d57a2ad519b3ee12a794f8e3125f036757984663275341b481c3c8e8428","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 = (2, 12, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8aae9500f3ed92885810fc13309e3e3484f09e35de4938905e2839e9b70e11cf"},"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:c2b0e8479c6496707e550568b757fa01d76b1dc0da82e7c9da279ebff245285e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 8, 5, 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":"sha256:93599649ddb6e761af70992a2d351cc4cc8bfff63360bbb973543e7c1546ec4f","rejected":{"artifact_digest":"sha256:ff048ab9d0d4f55956c0ce2e7f968b2755c2390e98e28a14220846d253951d81","candidate_id":"sha256:7508284ae50753de5429e90895a3883d70f06b6355b67a43c78e381a2334a06b","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 = (2, 15, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:34764a3b7ee40d685f386fcf61a9e0a33a8c8319896a0f8726b454712f41523e"},"sample_id":"sha256:f56662bad67529af17762a68491f7bdbed255b24291cf37ca8da9acaafabdc45","source_transition_ids":["sha256:03c3c94c153d3a1ff1ada92ceee281b80d04bde1103ced8879414f35165c7468","sha256:a07ebe04e1572f693102faa68d83ef3dd2fc291f4a51c6f6ed13e00ada91283b"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:281d7bbf6aac57698315068ed7efbd4832ad7f202508df74323d0c9f29e76983","candidate_id":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","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, 12, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c9dd1d2955e9bd5240fa7104a32874c794a3bedf2d8e96710d9c24b45b5b6d76"},"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":"sha256:25b17d57a2ad519b3ee12a794f8e3125f036757984663275341b481c3c8e8428","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 12, 5, 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_006\", \"xor_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":"sha256:107e746e182587783b34946d36dd9432ce4259928e5619adb88a40beb8937ba2","rejected":{"artifact_digest":"sha256:4fac90fe8ad8962ae04394fba9862470f1b6b8f3f59fb144b579b2580398105b","candidate_id":"sha256:fa08c7b1f45a1a5dc19fec6257472a5e6e4cbccaed7489ae559bd01bf72d9ea0","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 = (10, 12, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e4a43fa4c07a947eea0d52f27de00202e030d3f3509ee2289c632c5409b47d4e"},"sample_id":"sha256:ab047798df9e2101abceaa71d475480c8644ec2d859f54c26f31537f2eee4de5","source_transition_ids":["sha256:efc1c81aba281abf15f7e9a17e48de943fdfe696656550c5735ae873c824163b","sha256:e1ce6f0b58e388cccf488f828dd5aa50250971213875d15d4d727326c2479d06"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:281d7bbf6aac57698315068ed7efbd4832ad7f202508df74323d0c9f29e76983","candidate_id":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","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, 12, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c9dd1d2955e9bd5240fa7104a32874c794a3bedf2d8e96710d9c24b45b5b6d76"},"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":"sha256:25b17d57a2ad519b3ee12a794f8e3125f036757984663275341b481c3c8e8428","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 12, 5, 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_006\", \"xor_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":"sha256:01143c382041ea4d714c73299454f5d5b7337603e098cf1bd5d9364c7c727abe","rejected":{"artifact_digest":"sha256:4ee474da5a78da6921635e716892a0dee7688a0632c960ac88da435c4548deae","candidate_id":"sha256:a4b1ce877812fb7e9069fd9f1ea33677de07d9f4ff373d5861708cf2fbbc1edd","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, 1, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:518aec1c012547468ffd50e1b665816ce8c625d41317de46f00bf1fbc8ec454d"},"sample_id":"sha256:d0e49b1f823c23864403f805494c563710d03f36454c676fe201eed214a68938","source_transition_ids":["sha256:efc1c81aba281abf15f7e9a17e48de943fdfe696656550c5735ae873c824163b","sha256:7d71c5ba51e08e8af583d4634c04a00e61fa4452b2f9b6e8426b6d673ea4d911"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:281d7bbf6aac57698315068ed7efbd4832ad7f202508df74323d0c9f29e76983","candidate_id":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","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, 12, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c9dd1d2955e9bd5240fa7104a32874c794a3bedf2d8e96710d9c24b45b5b6d76"},"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":"sha256:25b17d57a2ad519b3ee12a794f8e3125f036757984663275341b481c3c8e8428","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 12, 5, 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_006\", \"xor_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":"sha256:4948e95f477317f6682784daff7ba328d326a7f775cd6bea1ab0636cfb385588","rejected":{"artifact_digest":"sha256:9263cf74332c23a520f95aba33ddba3d7a94a3570528b12a5127c5d0e7ca7562","candidate_id":"sha256:d3924d95b488e052514e3c76c40e8567244a70584a3eb02ddc204c0c8b0195ac","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 = (9, 14, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:97e6293130b8df61402ec9fb069434d519d9fa312131512effc43c56382eba8e"},"sample_id":"sha256:3fff94bd595ff955d035ef58f308e4df4bb0edf9250a43a9eeb6efd7bb3ea3c8","source_transition_ids":["sha256:efc1c81aba281abf15f7e9a17e48de943fdfe696656550c5735ae873c824163b","sha256:65737b431217559bb22387c0c59c4f0eaf8a819d41684d78b0fbe8a2f7724a86"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:281d7bbf6aac57698315068ed7efbd4832ad7f202508df74323d0c9f29e76983","candidate_id":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","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, 12, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c9dd1d2955e9bd5240fa7104a32874c794a3bedf2d8e96710d9c24b45b5b6d76"},"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":"sha256:25b17d57a2ad519b3ee12a794f8e3125f036757984663275341b481c3c8e8428","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 12, 5, 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_006\", \"xor_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:e7fd56e3f979f673bee2fc16f1a3589aaac41e0f6b113819270f6990bec81034","rejected":{"artifact_digest":"sha256:191f58e8e008389f191f03167add0e476bf7e09dd93f3a7f4029642c45b757c8","candidate_id":"sha256:4ef74cc70dc22b47216903bce09bf392e60551104289ae9b12292468469d89f3","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 = (9, 5, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:bc37235335ecbd13b3bab84618e1df7306e98d9343c92d5fcbe6df313f5e23b2"},"sample_id":"sha256:fdec57e4bbf7287230439f0bae051c02e79d278ee944179e81d28dbc4f447652","source_transition_ids":["sha256:efc1c81aba281abf15f7e9a17e48de943fdfe696656550c5735ae873c824163b","sha256:badccd0aa9999d6ff6dec9448497831a8bf6ddf5773e1d6ed2d3e1e30ef19beb"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:de62b4417d4d4a298ab231454e91608d132a934e154e90830acc5dea16783c99","candidate_id":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","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, 12, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:25297396f6060e90c796b0acf8894e528a9dfed92cf9af63bb293d2feb78ef5e"},"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":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 5, 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_006\", \"xor_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:f9bb2665590d4ab4d2fba99e8c18a6563666f7a504a52c842610dd4ea80ceb70","rejected":{"artifact_digest":"sha256:c72b5286912b1eae06388ac87f180134051cd730f30694035755cb89b70cf318","candidate_id":"sha256:266ea38b984cde96af3150d0ad619f53794c0561ddaec9a025e5b5c50dcc6ca8","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, 12, 13, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e0eb23eb233add9f51c5f05bc298a0e791fcd5f7e6ca9f524f18f39d78edba29"},"sample_id":"sha256:a799699c54f6d57bb85f56c63f7e569bb02aa37810b35cfb602c4042f9bff8f7","source_transition_ids":["sha256:602821512fe40df1a7c5aa31bee7d54281f24529b97d650bafa21532e96c67f7","sha256:6d5481853bd12487c58510bf432d80133d06d56b495662f96e39612e96f06600"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:de62b4417d4d4a298ab231454e91608d132a934e154e90830acc5dea16783c99","candidate_id":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","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, 12, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:25297396f6060e90c796b0acf8894e528a9dfed92cf9af63bb293d2feb78ef5e"},"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":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 5, 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_006\", \"xor_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:c908b0818205d832d86f512398d8e5e9f6d041e12d684d4894004e63186e1ce4","rejected":{"artifact_digest":"sha256:13e7723a8dfda6fb05f7f0dfaee049ea5f1f9fc24992cb5243b38c807956dfd3","candidate_id":"sha256:ebcf8543fb2ca6eb9e24fd09b6a32bdd95ba7316b6d0ba7264ad8f1b94fbb2e6","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 = (9, 15, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:70d5a0b7355ab834685155ab212b08077ab00be71485e697c76af3438453920e"},"sample_id":"sha256:bf466b5f254201073bac1a44c1245730cbb68013711c48c292165f43e840a32f","source_transition_ids":["sha256:602821512fe40df1a7c5aa31bee7d54281f24529b97d650bafa21532e96c67f7","sha256:151b3abb66abddd01df0f2aaf260471ce8049a45373d40fcd7891efb05c967c9"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:de62b4417d4d4a298ab231454e91608d132a934e154e90830acc5dea16783c99","candidate_id":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","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, 12, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:25297396f6060e90c796b0acf8894e528a9dfed92cf9af63bb293d2feb78ef5e"},"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":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 5, 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_006\", \"xor_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":"sha256:03dfee64f8217c1815cc0a0c9af7857d99e86a8f9722776eaddf6ef42c18927c","rejected":{"artifact_digest":"sha256:f2aead13483b529800756e1b0a3db497fbf818bbafc0a26175c1ee2981060c42","candidate_id":"sha256:09c1728d2273d43ecb1fadeea24b7de03fab99a9c3ff666c26051212ad2e3915","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":[0,0,0,1,1,1,0,0,0,1,1,1],"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 = (9, 11, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0811217c834b239258cdf1e8f711cc4b3acfa9cfa4efdc9f20a7a6bb7dcbc930"},"sample_id":"sha256:e8977a79f0e546c2a35fa843cbf71356a2bc1a23fa4d705f402081d24fff740c","source_transition_ids":["sha256:602821512fe40df1a7c5aa31bee7d54281f24529b97d650bafa21532e96c67f7","sha256:f397c57cb34952e5fd45de573946b59bca4456143253eeeb527a12c6b9fd3062"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:de62b4417d4d4a298ab231454e91608d132a934e154e90830acc5dea16783c99","candidate_id":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","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, 12, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:25297396f6060e90c796b0acf8894e528a9dfed92cf9af63bb293d2feb78ef5e"},"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":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 5, 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_006\", \"xor_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:b4dee7526ca540b31028e75eac24064e9cd389f9a699fe5a6be17d88594a8eca","rejected":{"artifact_digest":"sha256:6926689920a612b2e97e45a2a6b15750caf1c2fbe9ea42e6c01a3b027a46e82d","candidate_id":"sha256:05381412c14001853ad3c1b2dab1276e05f32a143c7d08385e231c447833e856","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":[0,0,0,1,1,1,0,0,0,0,0,0],"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 = (9, 14, 10, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:34e9740b07835c382ae23fcae6db707313b94081d3d4363f70ae862b146a9759"},"sample_id":"sha256:53319774091d56c9c9ebaf26c03c20c94b1dfe6e4838ae36099c9f9ed3ab3b5b","source_transition_ids":["sha256:602821512fe40df1a7c5aa31bee7d54281f24529b97d650bafa21532e96c67f7","sha256:ac7f1062ebd5ca973973081108142de9ff8174572bafa83e31bfd7d95d0bfb9d"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7084b52a218ce129d6dfe9764021350e0c14fb10444643871088301adb887b29","candidate_id":"sha256:4feb659f6a6e45aba6aad42be5c52107dccd94d12272199e2c18099f461ef232","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, 12, 10, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:af8fe7457feaacaa9fcb9ea961ffdaf130ba97ad3d8c997a0c58e25d71ba26d6"},"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":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 10, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:90419c9cf47c7d67594512210e8d8fbcc3434c3bd90b8603174adee1ff5da261","rejected":{"artifact_digest":"sha256:cd200143c56935c178db9bed43f3b93c0511f6a03630f2c4abc40e979f170cd0","candidate_id":"sha256:c0bad5c6121d259939fd22b2172927e052085d4d9a853253e6775bff31a4249a","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, 12, 10, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:89e612fbc36e690d092a3605c3d31c42bbdd38ec5556f4d119dd9077e63bb13d"},"sample_id":"sha256:563084e3eef199df3885162b4e0604d1b77d87b4edd2c5bfaae3a6a6a55d6dbd","source_transition_ids":["sha256:136aaf937326420e8bc8600de42fe8238d6592284b781136be8560829fd41cfe","sha256:3283bbeb1fe6bcf6351ad64608da6a0a4dc3cb9b7a66cdedc3317f647ac87ce1"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7084b52a218ce129d6dfe9764021350e0c14fb10444643871088301adb887b29","candidate_id":"sha256:4feb659f6a6e45aba6aad42be5c52107dccd94d12272199e2c18099f461ef232","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, 12, 10, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:af8fe7457feaacaa9fcb9ea961ffdaf130ba97ad3d8c997a0c58e25d71ba26d6"},"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":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 10, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7841852b6e6676e41530b6d3faef986baf8248f3e93a8fc69d6b94b9a7715940","rejected":{"artifact_digest":"sha256:8f3397a173bb2ab1db657d2d13c854f1f449c701e448c023bed61033d513bd40","candidate_id":"sha256:f8574fe322c8c516776e5597632e1b776673bb6baeee320d43109ca43653ea34","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 = (9, 13, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8f201f9f61e4bb89d8088f0cfd639b9a028884f67535767b990e27ad5bb455c0"},"sample_id":"sha256:b3f1e793ff70217203636f123f692de4cd376a8e3c76a21751faec6f3614a4d7","source_transition_ids":["sha256:136aaf937326420e8bc8600de42fe8238d6592284b781136be8560829fd41cfe","sha256:9293ce68967bdf5c24f27879b310bca0d897da11e208a2fbdab9efffcedb463b"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7084b52a218ce129d6dfe9764021350e0c14fb10444643871088301adb887b29","candidate_id":"sha256:4feb659f6a6e45aba6aad42be5c52107dccd94d12272199e2c18099f461ef232","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, 12, 10, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:af8fe7457feaacaa9fcb9ea961ffdaf130ba97ad3d8c997a0c58e25d71ba26d6"},"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":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 10, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:34c086c9cd8cdb4e46f26222683ebad4f88ece5ab091a0c0edf68a875b41f53e","rejected":{"artifact_digest":"sha256:e4db57b87ff572ba88407d16f26e1df503b928edf117164156809a43c84bf119","candidate_id":"sha256:6735ecfe390ef44176a8c480c3df99bfb768b6ad6bde1448d933e27c91fb9383","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 = (9, 6, 10, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8cd99486df75d15f745b178a922ba2ce36f9636033cc0defbb6e94a9b7367d8b"},"sample_id":"sha256:70be6737a04b4b2fd95f1d144f379963774a8ec4c993f8dd48011c09fbba9589","source_transition_ids":["sha256:136aaf937326420e8bc8600de42fe8238d6592284b781136be8560829fd41cfe","sha256:c3d0b8f7d134f7b714e3d895825b6d6647fd7a9afce36cb39e773dd38ca2a9d2"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3d1dd5f7a669e9139bc7f07254ba272395bdc013a43bcde548e444c106735faa","candidate_id":"sha256:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","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 = (-4, 5, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d56c57365b8a92f3a6f0fb0966c0115467ecd71cdc595c191793d680359b9b20"},"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":"sha256:814cdb36cea04d8b82b8d61f7b5d71df6e78ce3adc6ca673a202c0e9a32df3ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -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_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:d50e7b615ea9d043df10fed656bf0d632b2192581fd00da500455569ef5c80bb","rejected":{"artifact_digest":"sha256:7d4b6b440e9072738727edfb11130ae090ed1f0f5d84df09f780389ef2ccb768","candidate_id":"sha256:1b70dac65c80accc0fe4c3c0749c3ad9c84e5a6405caa8b475e739602409f78c","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 = (-4, 5, 0, 5, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:192167408aefea3ae5f584ea97fb5afa27c22f0daca64fe8fdce3c52470a01ea"},"sample_id":"sha256:8be46024fdc7af9521ffb849470c29efc7670a5f7e4f85166fe506b70b643b73","source_transition_ids":["sha256:c9b3427997b118b1a991470a0c7c7602f6f128d80743e007a5fb86ec0abcd2d7","sha256:9870ac0e83255c9ed62285a41a69512452443e7ad9f7b2cbccd214ddcfcdb498"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3d1dd5f7a669e9139bc7f07254ba272395bdc013a43bcde548e444c106735faa","candidate_id":"sha256:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","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 = (-4, 5, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d56c57365b8a92f3a6f0fb0966c0115467ecd71cdc595c191793d680359b9b20"},"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":"sha256:814cdb36cea04d8b82b8d61f7b5d71df6e78ce3adc6ca673a202c0e9a32df3ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -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_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":"sha256:25209c7f06ff338d15c38c8da5575341291cf6bf65347e55065962603096c46e","rejected":{"artifact_digest":"sha256:a165e889957e196b58f8d05efac7e87111f8551f7565070a0de2794b50497bc9","candidate_id":"sha256:4f188381c27eb55fc8a94dc2176840a718c379a95c833bc34285a60d770e0ff1","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 = (3, 5, 0, -6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:046a67ff0d595a23a59be9c942d9f914ee4551cf0f5685fc04d5fc38b1390663"},"sample_id":"sha256:74ff4f1410bac20a411fccefe0c691fcaed5860d72b54fddcba28d7f5d615b01","source_transition_ids":["sha256:c9b3427997b118b1a991470a0c7c7602f6f128d80743e007a5fb86ec0abcd2d7","sha256:1e1eaae8a2c4b804bdf567608336af3663cf90d14270053a40039f35506f9bfd"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3d1dd5f7a669e9139bc7f07254ba272395bdc013a43bcde548e444c106735faa","candidate_id":"sha256:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","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 = (-4, 5, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d56c57365b8a92f3a6f0fb0966c0115467ecd71cdc595c191793d680359b9b20"},"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":"sha256:814cdb36cea04d8b82b8d61f7b5d71df6e78ce3adc6ca673a202c0e9a32df3ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -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_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:cfcc4eabf942630906a740c3a20122885d8608949a58e6759d45122aa0a06634","rejected":{"artifact_digest":"sha256:6a5daddaae89ef0553976c8e67507b8e3c0b931ba6b168ad0b860acfaaf49eb0","candidate_id":"sha256:9bc7f33324536bd820706d0dcd432079f0b8cfb1eea3f2f46b57e766e8530647","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"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 = (-2, 5, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:55274917b298c85a8f0a2b0ab70566c42cad64c367404d8cc7c028b26621e6d4"},"sample_id":"sha256:7a20c2c7f242dc984bb3b7ca33752cc053cdf24b06eb4ad8cbb0d5c5c151644b","source_transition_ids":["sha256:c9b3427997b118b1a991470a0c7c7602f6f128d80743e007a5fb86ec0abcd2d7","sha256:12d107b2b497cfcaae13e1da53abc554dff269a314e10f7e737b1205cde46c64"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3d1dd5f7a669e9139bc7f07254ba272395bdc013a43bcde548e444c106735faa","candidate_id":"sha256:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","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 = (-4, 5, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d56c57365b8a92f3a6f0fb0966c0115467ecd71cdc595c191793d680359b9b20"},"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":"sha256:814cdb36cea04d8b82b8d61f7b5d71df6e78ce3adc6ca673a202c0e9a32df3ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -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_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":"sha256:85d0439c0df3c6c482d0743081d4633d37b5e4413e28e8bad810a6d8c5d1150a","rejected":{"artifact_digest":"sha256:78e91bbdd8c6cdb4373b8f049d8d837fc7018589f2b008fccd306ad7d12ea7ee","candidate_id":"sha256:ba67df0e5df0c5c09a70031fc011e7a9090c8058085a6cda894f16633a8a0b89","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 = (3, 0, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:482b273390d5c628e8f6ca623a52b08c692473847ec6b2dd34b7d296e33afe0a"},"sample_id":"sha256:787b22901aa2c00ef9175791de0cbd85c7da9a990b50d66b98d98bf9c2ed2dba","source_transition_ids":["sha256:c9b3427997b118b1a991470a0c7c7602f6f128d80743e007a5fb86ec0abcd2d7","sha256:3f14e79441df5ead4f8c20cb6a79b9b2e6d4095960e6af13b61f0fa7329bb866"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1aa617c11333c2e370f1c864d44deeda7f05460737f2a531b100d49005bf8079","candidate_id":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","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, 0, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:85eaa5d2e11fba692ba9623d40432fef3307f2a5f75f0dad288c9a1d2567033b"},"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:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -4, 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_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:29f73b6ff845954261151a5d4abedc3742f2f6a592249364b8ab63d49c10aa1f","rejected":{"artifact_digest":"sha256:471398a9dc64241e6136b9643d6d0a610a3dd5f16a689032e294e7e1714bba8c","candidate_id":"sha256:a04f41d2ef87434e142b49fdbc920211040f76a8befa6969c00d1867592bf56e","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"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 = (-4, 2, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4c0284a263e7a39c2593fdf10c41a754030e8ec4a68536c6c7a1439a212544f3"},"sample_id":"sha256:a92b280352b73cef19fc0f969040db37bae228cafee6c95b770fce410712b87c","source_transition_ids":["sha256:e7ec3e653031e5046296727a2c7d397301265784b40bfa0d8feae6565efc5fa1","sha256:48da603032dfaac8b82ec30aa64846b926b9ca1ae54ded2610342b648e0ff9bc"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1aa617c11333c2e370f1c864d44deeda7f05460737f2a531b100d49005bf8079","candidate_id":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","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, 0, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:85eaa5d2e11fba692ba9623d40432fef3307f2a5f75f0dad288c9a1d2567033b"},"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:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -4, 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_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b9ba52f4d6467ee8b9ac332fe8a5d6527bec51385fb529d2e889fe2fd4731bdf","rejected":{"artifact_digest":"sha256:ae01c4550197ddf92560ba23e5d879267ff43a921244c4fcf72cd104d5a6c6dd","candidate_id":"sha256:bcb120fd031e4e84466974bc50b809e8f9bdc5e559a38ebe5224fb085a0030e0","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 = (-4, 5, 0, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:87510512e9e962ef1c5a8990a96214595f6554cc9e8b9ec80b807f93b814e855"},"sample_id":"sha256:4d9da910fd3a7882bfd11c18b78b612368719462650a7e7bbf6ec93c2c7e6c8c","source_transition_ids":["sha256:e7ec3e653031e5046296727a2c7d397301265784b40bfa0d8feae6565efc5fa1","sha256:323aea619b08b53276a8be2449a7800208011c6b06a8ae70d42d794d628f51c8"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1aa617c11333c2e370f1c864d44deeda7f05460737f2a531b100d49005bf8079","candidate_id":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","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, 0, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:85eaa5d2e11fba692ba9623d40432fef3307f2a5f75f0dad288c9a1d2567033b"},"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:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -4, 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_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bed339b6bf20e4d507ea4a63ca605815fe6dc3403ba326223dad608ef55eced0","rejected":{"artifact_digest":"sha256:82f196e8dd092ee41fcbbe44a29e8913692d121ee7ae60735f85f1a89e09e66e","candidate_id":"sha256:49e893d463ba22244c6401b5713d75552660d409cfe608369fa6e771dfc4210b","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"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 = (-4, 0, 0, -7, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:6a6f9b941aa98e5c15d12af22a61c386d73a695afc34a3e0c3f17f1df86a9883"},"sample_id":"sha256:a7e0fe402952ca8e685cfab3a20d467a6dc44a7fd9492b53b6d1525860b573f2","source_transition_ids":["sha256:e7ec3e653031e5046296727a2c7d397301265784b40bfa0d8feae6565efc5fa1","sha256:46831a7dfd44a0b0a16225f831a135d03f01c560487f4869f5d4fb186602f208"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1aa617c11333c2e370f1c864d44deeda7f05460737f2a531b100d49005bf8079","candidate_id":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","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, 0, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:85eaa5d2e11fba692ba9623d40432fef3307f2a5f75f0dad288c9a1d2567033b"},"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:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -4, 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_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fd8f29512b6beb31a596d364e0b42b264bc25f3738bf1766581bc7c6845aad9e","rejected":{"artifact_digest":"sha256:6575cde6d911e2f9a5772906776adbed5f9116d522e2640576cf25a15fb6db8d","candidate_id":"sha256:48669c1f0655af82716a3ee0d730d7fdb8fca732320cd3361ecebb29a29486e2","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, 0, 0, -7, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c1f4233e67aaf5e12dd271436e83c5f8de88e2b9f6db84b4650b97885ab1e0b5"},"sample_id":"sha256:bb9a189f6de0078a84929169f97901d782c7265148ed0d7f082e4ba8b4b838f4","source_transition_ids":["sha256:e7ec3e653031e5046296727a2c7d397301265784b40bfa0d8feae6565efc5fa1","sha256:631e5188d92a5956ce513cd75e94faa8c4487bc3f4b43331c58b396222cb6bb3"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d3311c5934ddd37b604432633e432a3ab4d8665b56a53e18986aded5426869ac","candidate_id":"sha256:13d5cf0fc48e9b3239085e751fe152763bc1c49bf44a160087e98c4802284307","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, 0, 0, -4, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9857339f820b7424f62d7d68378b425d46de94cf61aa79568d3ccf6f9110010c"},"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":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 0, 0, -4, 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:aea448a055161aa8fc96fcca8819edf5e5cf4c3050e24555887b19d1e76edec0","rejected":{"artifact_digest":"sha256:63e199542bac8de5d6657bc791b43b1c4d8c60ab92c166722e57ee674a05c0d5","candidate_id":"sha256:2df29efc948721e1116a89ec89712fbc58b70d843af53b41c5f7ebdf113df019","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, 0, 0, -4, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7aa00073cc4b625a36bba22ecc61763eabe5d28001e983339435bf0db035f553"},"sample_id":"sha256:98da3c9196680540820bf1bef8d3c424e9d8ca64769a64a5844424513323ba95","source_transition_ids":["sha256:a413846e00472b490f1c00812e5da47ad4ca732d617159e69ad291fd8e7c1e94","sha256:8399f99e12a3e6110720c7eeb2832a71a85b83aa1e51432291d7ad969c9c1bf2"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d3311c5934ddd37b604432633e432a3ab4d8665b56a53e18986aded5426869ac","candidate_id":"sha256:13d5cf0fc48e9b3239085e751fe152763bc1c49bf44a160087e98c4802284307","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, 0, 0, -4, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9857339f820b7424f62d7d68378b425d46de94cf61aa79568d3ccf6f9110010c"},"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":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 0, 0, -4, 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":"sha256:43195c3bfeaf5a802de27ccff704e1e0289ef4a0c842e8f7aaf37d7bdb305a15","rejected":{"artifact_digest":"sha256:2536f6c5af061595fff772fe1b50d1299b4bd8e93d8ab0b4b99fc741e6f44e6d","candidate_id":"sha256:69f95cd3937517e7611ecfa0b406653ef522a288bf835cbe77dbd7467d0ce551","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 = (-4, 0, 0, -5, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9022688f7623bb78bd406732bf4eea2428aeaf976c31ed65f6875b6e73e0d875"},"sample_id":"sha256:b66c25389af95872263bf7045fe6031462addb473d2e82794d8ab8185bd54b28","source_transition_ids":["sha256:a413846e00472b490f1c00812e5da47ad4ca732d617159e69ad291fd8e7c1e94","sha256:2ba8851ce1573c354b333f7677f462ee489af8cd0ece38b7442a3455cb81135e"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d3311c5934ddd37b604432633e432a3ab4d8665b56a53e18986aded5426869ac","candidate_id":"sha256:13d5cf0fc48e9b3239085e751fe152763bc1c49bf44a160087e98c4802284307","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, 0, 0, -4, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9857339f820b7424f62d7d68378b425d46de94cf61aa79568d3ccf6f9110010c"},"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":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 0, 0, -4, 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:babf97305173498eea5d951c9861f6f1cbd18dccc05d65a714cbe59644f85876","rejected":{"artifact_digest":"sha256:6dcb09f64d281ae7f44a124371ec00203399f4740593273dba63c93e1e98930e","candidate_id":"sha256:88ae93b4c920893ea090ea0aadbe3eeefbc839de30a4f9e3a589b6a5d3ac3588","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, 0, 0, 8, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e319739255a7629edd474e64470f619169960bf1004e3dd9b085482ddf55c3ff"},"sample_id":"sha256:deb746aee5844975cb2f9ee08f88dff67d22a494e305f10dce0448bfab00ed7c","source_transition_ids":["sha256:a413846e00472b490f1c00812e5da47ad4ca732d617159e69ad291fd8e7c1e94","sha256:c43d947ecdfc0fe9d04fd1f6360c956d3f836d4ce84891fc66423a669aa059f8"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5f47d2f85a5adb77a2841d0b5d62d32bb91ac0972a96e3b3bd72efff3a2a82bf","candidate_id":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","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 = (3, 5, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2edbc7a2e1eb91bd9f9e543cce96befc9ccebfbfd3a72290cd8de6034ce97964"},"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":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:455793c57a4d6a02355dd2feafa170c6fc3e13fee393d77efd2194b6588f6285","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, 0, 6, -8, -4)\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_012\", \"lookup_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":"sha256:74671330a0adb2db074f2f069c1e3ca9d8891f46a6316e6d86d4ff02afd6c063","rejected":{"artifact_digest":"sha256:573d4c2100da401e91e23e0b4d146cb66ffecd31ec22c574d4aceb10e32ce52d","candidate_id":"sha256:7062a983f59a70d9670d2ab4dfda218737f288d7b570c79edad87a78cae6c06f","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":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (3, 5, -2, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:6ca5628b7c22d2fe612c03baffa90acb7523d7d661f66ba09ec32d80e0911007"},"sample_id":"sha256:befd2679bea9ff7b12369afd01de6997ba66e8c54d85b0dab7ca97d42594c4d1","source_transition_ids":["sha256:5c7eafd19a8ce6439b7c49dc1adb0c0a0c9592eb06f927cee509a8facd14c8ce","sha256:10c666d28cc3f15c951ada0cf968b5e4b4c699683422f8358a2c7fbd49e8c8b9"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5f47d2f85a5adb77a2841d0b5d62d32bb91ac0972a96e3b3bd72efff3a2a82bf","candidate_id":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","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 = (3, 5, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2edbc7a2e1eb91bd9f9e543cce96befc9ccebfbfd3a72290cd8de6034ce97964"},"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":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:455793c57a4d6a02355dd2feafa170c6fc3e13fee393d77efd2194b6588f6285","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, 0, 6, -8, -4)\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_012\", \"lookup_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":"sha256:91a021fa2ef32562b4fdc4ec9a705a1bea857bdd794f039d261d1fd88611ca00","rejected":{"artifact_digest":"sha256:1834061ebf23e665b373fc66f1e7622d59d9380bddd6a5085c5221cbe1cc4ec5","candidate_id":"sha256:a7eb90172160c9e8055c2602b82050c30b0df26551a8912fd3f0655797f46256","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 = (3, 5, 0, 8, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:987b80dc9c186737caf8523a60a7e9779f8b20002534b6530ec50b8a57e4e3f0"},"sample_id":"sha256:c89a3441244342509914d891262a7eb4045d586ae7249508895b531cb9e1de3e","source_transition_ids":["sha256:5c7eafd19a8ce6439b7c49dc1adb0c0a0c9592eb06f927cee509a8facd14c8ce","sha256:4f20b33869c0507e05507a406b4cfcb2aba79fda65d5e70a29fae940abd56536"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5f47d2f85a5adb77a2841d0b5d62d32bb91ac0972a96e3b3bd72efff3a2a82bf","candidate_id":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","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 = (3, 5, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2edbc7a2e1eb91bd9f9e543cce96befc9ccebfbfd3a72290cd8de6034ce97964"},"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":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:455793c57a4d6a02355dd2feafa170c6fc3e13fee393d77efd2194b6588f6285","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, 0, 6, -8, -4)\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_012\", \"lookup_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:d269543827a06ca4f6bf708e0acc68b501e8c818ca3e01f6be6d096fe9be062f","rejected":{"artifact_digest":"sha256:56c28e2b7908faf062b38cfaba7995646c421b324b8f164ceddb648c5995b579","candidate_id":"sha256:4b865e7deb46aba42bc567304b3deb704b41a8f6b7fb849439094c0ef965fbb8","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":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, 5, -4, -3, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1d99126ee7c3b05eb1c4166e6df0e0779c223b3255c45909cb8951f697e2b912"},"sample_id":"sha256:cbfff7ef4d521a3b67e9a9d45747dff49ad5788d85a83fbc75cdf41f6e20bd73","source_transition_ids":["sha256:5c7eafd19a8ce6439b7c49dc1adb0c0a0c9592eb06f927cee509a8facd14c8ce","sha256:f01005c6b499842c8cb768630165621471f560f7e97c847832e4d88c2591aaf2"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5f47d2f85a5adb77a2841d0b5d62d32bb91ac0972a96e3b3bd72efff3a2a82bf","candidate_id":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","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 = (3, 5, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2edbc7a2e1eb91bd9f9e543cce96befc9ccebfbfd3a72290cd8de6034ce97964"},"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":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:455793c57a4d6a02355dd2feafa170c6fc3e13fee393d77efd2194b6588f6285","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, 0, 6, -8, -4)\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_012\", \"lookup_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":"sha256:8996fe6f8ccf8e5d0b47d826685fe6cc9d007f4d8900f694d528ead6551fdda4","rejected":{"artifact_digest":"sha256:5cb8957da8c20ce8197e2c0e68ac217959faf498c15fced22041f11bf04b7322","candidate_id":"sha256:335fd61607e6e43e7f02bbf71bd8a410fa5f29c0625e6c3629404de0cbb2e993","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"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 = (3, -4, -4, -6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b6536916d97ce8cc71a34fae243d7f95518ea115bb7545aeed7335f90b4d7c6e"},"sample_id":"sha256:15284dacd310451f381615fc35b5da2839bcbe31b46a1a7ce37890a4121ffe9f","source_transition_ids":["sha256:5c7eafd19a8ce6439b7c49dc1adb0c0a0c9592eb06f927cee509a8facd14c8ce","sha256:84857173a9e025ce8a077878f00c6eeb3301ac66c3af322d96a07abaaff17733"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7cb85cf2a07ffbcc82ec760009f51dd1d89d4b4b5dcd4766e804dae20df879bb","candidate_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -4, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b0582284b5d3844f77d56da379b27e264bd8124e1bb3101652d56164d2f339ba"},"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":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, -4, 6, -8, -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_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":"sha256:5d9c942c0fecfb3b6859db301ea654c72b218b5a9147fef3c7ad93b8248de15e","rejected":{"artifact_digest":"sha256:ed29b9986762b1468ded01da4cd5e99d02b394a61a9d5a4be191ccd36d26f235","candidate_id":"sha256:7c365009224d820ec18cfae04512bc968fa1f699d998fbd309c404f4999443cc","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"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 = (3, -6, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f9e3c5043e1db4575f304e1cf310bd29f50680d6e72a6e8a20af185a74cd5b65"},"sample_id":"sha256:36131de3d027fdc27e87f4101661ed85830cae5c511a918b8c7a32f515c8434a","source_transition_ids":["sha256:964957a879fe12207df546dce8802e36899ffb70adc5e264de8ab9302e02a76d","sha256:7dd114e1c26b4c1f1b8559ab25aaceb90286d5ab9007712c292e043acd38c69a"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7cb85cf2a07ffbcc82ec760009f51dd1d89d4b4b5dcd4766e804dae20df879bb","candidate_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -4, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b0582284b5d3844f77d56da379b27e264bd8124e1bb3101652d56164d2f339ba"},"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":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, -4, 6, -8, -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_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:d21519fa7df052649727dce8560c62a5d53b711a6ca0ac4c1a132f9046100214","rejected":{"artifact_digest":"sha256:56c28e2b7908faf062b38cfaba7995646c421b324b8f164ceddb648c5995b579","candidate_id":"sha256:4b865e7deb46aba42bc567304b3deb704b41a8f6b7fb849439094c0ef965fbb8","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 = (3, 5, -4, -3, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1d99126ee7c3b05eb1c4166e6df0e0779c223b3255c45909cb8951f697e2b912"},"sample_id":"sha256:1aaf4eddb4fd3b4398c52e882161597f458e109d6f5167d141ee57a628708a39","source_transition_ids":["sha256:964957a879fe12207df546dce8802e36899ffb70adc5e264de8ab9302e02a76d","sha256:313948f100c5069925b55e2a31e2963ad2e99c49eb211e02b8fd33ad7f91e50b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7cb85cf2a07ffbcc82ec760009f51dd1d89d4b4b5dcd4766e804dae20df879bb","candidate_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -4, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b0582284b5d3844f77d56da379b27e264bd8124e1bb3101652d56164d2f339ba"},"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":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, -4, 6, -8, -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_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":"sha256:8028907fd447cd9325c5c38debdb49ceaa6ff6eb98c7b5cd3f73cd439e929fa0","rejected":{"artifact_digest":"sha256:64deb3f7b5bc2a0692239c6fc98888f47f3370c86de835c56303e91b9543d121","candidate_id":"sha256:205c2db5022f86425e4a5354906fcfd047454bd70f7f717900a0928152fca2b4","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"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 = (3, -4, -4, -4, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:65d5b9d888dcf77cba344651dac385a93790c366d3fb1184150fa1314b9f5595"},"sample_id":"sha256:87452897ca299b262946ca06fe5478fc758e71cc1107e0ab0cc266cd2cddeaff","source_transition_ids":["sha256:964957a879fe12207df546dce8802e36899ffb70adc5e264de8ab9302e02a76d","sha256:4a1d82ec8c7aae4db47acd862a99fbbc58e12b5739355c9e7631d94731a6c23e"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7cb85cf2a07ffbcc82ec760009f51dd1d89d4b4b5dcd4766e804dae20df879bb","candidate_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -4, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b0582284b5d3844f77d56da379b27e264bd8124e1bb3101652d56164d2f339ba"},"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":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, -4, 6, -8, -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_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":"sha256:59e9ab069a87845ea0bdd96e320ab67ba7c197b86ca640a85a2267dbcf9848b9","rejected":{"artifact_digest":"sha256:a953374b3d29294522142d8cc56f7896343a9c9deef38e802e0f637263ac1f7b","candidate_id":"sha256:1ebbbbfe51de2a3b125ed5eff77213a7d16af4aa1bb343351d0fb6bb2280bbc6","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":9,"phi_gain":3,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, -4, -4, 4, -5, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:6447ef0033a4592b926939c4d712f9a00e5e7352271c0ecd1f246fcc8c2df884"},"sample_id":"sha256:be5d0a394b5631806bba1c347f8d8834771954baa22d9e156a044011510e87a9","source_transition_ids":["sha256:964957a879fe12207df546dce8802e36899ffb70adc5e264de8ab9302e02a76d","sha256:4a02e7ff475f145e9b681948c5d847e01ff05cc09c7e181059ee9b16d6a61235"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:15775e892bc19e75ef90ec5aa2c819ccdfd14e7f411283f2e7a9e10d0439404a","candidate_id":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","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 = (3, -4, -4, 6, -5, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:221a0e364fd39b41cce32edde8a1d70033f792179a5ef2359fae0f5a1d9bf5fb"},"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -8, -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_012\", \"lookup_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:cc7fac06fb2a2e9467c8a48b50cf46a7146ebe8f827e780b4bfe8c45f323fadd","rejected":{"artifact_digest":"sha256:84156d69b5a47b9872825ba797ae7841011b1b36bbeee8523ba604d85697427a","candidate_id":"sha256:5b4693dd3f6deca0c1b0ee4b88b4abfe8f3064bfcb0b4b079461dcc63aa00b02","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"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, -4, -4, 6, -1, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4de30552087970b6f3ccaa552034f4e83557b1b968737e43c796ec8cbed60fab"},"sample_id":"sha256:33a48f2b283367f75495a41a8e4ea46fc98b1b9da2e20e6a1ffd73367d48d280","source_transition_ids":["sha256:3c330508f71eb923856a6740594a363eec1b04979966b7b123046db50a098453","sha256:4e5e1c5196881ab73ea7ce69122348249e1d41390ef9a53d1072593ccf9c1a9a"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:15775e892bc19e75ef90ec5aa2c819ccdfd14e7f411283f2e7a9e10d0439404a","candidate_id":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","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 = (3, -4, -4, 6, -5, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:221a0e364fd39b41cce32edde8a1d70033f792179a5ef2359fae0f5a1d9bf5fb"},"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -8, -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_012\", \"lookup_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":"sha256:33ea5fd609984d3e80b874b6a30502377df0bf93788c51ce7eb9fededd1d207c","rejected":{"artifact_digest":"sha256:66ce628012bbc08eb9a515abfea32a4531c06c7dcc91b556dc8bcae96e48d0b6","candidate_id":"sha256:d4bc71de66fdb928471b399d75cb9c5c275965d9bed4c8795221086e76c2fa30","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"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 = (3, -4, -7, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ff7bdfe77ed258fe14c9fd0dfce9eb7194414d5e71b1779a6c11ef85b2390c9b"},"sample_id":"sha256:bd7718d930a796433fc49de2043f0e0b22421da2f091d1a17c03fd2eae310a12","source_transition_ids":["sha256:3c330508f71eb923856a6740594a363eec1b04979966b7b123046db50a098453","sha256:2dada151905b3d2947c345d7f8507689bfe77a255385c45d47360a84de25ac2e"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:15775e892bc19e75ef90ec5aa2c819ccdfd14e7f411283f2e7a9e10d0439404a","candidate_id":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","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 = (3, -4, -4, 6, -5, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:221a0e364fd39b41cce32edde8a1d70033f792179a5ef2359fae0f5a1d9bf5fb"},"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -8, -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_012\", \"lookup_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":"sha256:8c2341ac41af31f02cc87f3abbdf15f8c043ab072ed3e1699b27037a0547b019","rejected":{"artifact_digest":"sha256:9d6480a6be8ffcf80bb4b017e9bb7d16894cf96f5cbc6ff2f084fd0c10c13328","candidate_id":"sha256:97d891fa1b5627899efc2d8e2f943ad75b0ad2485313107d5fd52503e80d2d26","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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"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, -4, 3, 6, -5, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:49d4391fe51d552527d034c38db61795dbbb7119710dab23c8971da8e1503598"},"sample_id":"sha256:12cfd8920cfe33eee133638b3befba894e9e5efce65cb1581d7a94945b91ea61","source_transition_ids":["sha256:3c330508f71eb923856a6740594a363eec1b04979966b7b123046db50a098453","sha256:0cb9bf4a2b5e395825732b81c128ad92d407e23c6def97723a2b5ecfd549da9a"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:15775e892bc19e75ef90ec5aa2c819ccdfd14e7f411283f2e7a9e10d0439404a","candidate_id":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","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 = (3, -4, -4, 6, -5, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:221a0e364fd39b41cce32edde8a1d70033f792179a5ef2359fae0f5a1d9bf5fb"},"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -8, -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_012\", \"lookup_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:d0f180d5148a9296f99afdb4080e62be3baed77413b0755a05dd350bfb1ec808","rejected":{"artifact_digest":"sha256:aba38b0a81b393fd674032a4e63bd5a3b2d322829a7cfd7a351822cf367efbe7","candidate_id":"sha256:a4ab7c29435ef820977a951b427c6bd4fbd1ab6b4c3509714a92502b07f35a12","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 = (3, -4, -7, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:19e42d116dd7a14f8aea8e9a244a0b319ba879472371b77f8e0b1ce82df2f32c"},"sample_id":"sha256:ac6cd065ea35bc72ffb2d9bc2ded0ade79a4f08f9f600f65174e0a23a5d94e6d","source_transition_ids":["sha256:3c330508f71eb923856a6740594a363eec1b04979966b7b123046db50a098453","sha256:2f7a0f9d95a859ad4b70cd2ef03fffd734aa773fa2e02b9ad757411ffbe4acd1"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5c89e9c957d610e8a6e179af97cec0ad00765a36e9ac20f43adc6fe96b72aed7","candidate_id":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","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, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1817d24d5a00912bd40ca6220a7f179c05b858d93c3314994905e8cf1556fbc4"},"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":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, -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":"sha256:06c64263c9a9d2ce57bda8989ce542f8d4c5982719c6a97ef9d9ded529363a77","rejected":{"artifact_digest":"sha256:6f6dbff773ecd97463d4432a358335561f7a20a4e9acd49dbc119319e45d0196","candidate_id":"sha256:093964db7b3682c4adf82d619d8e7a7aa274b215fdcf6334fcf7e16e0007e6c0","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"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, -4, -4, 6, -5, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:aed140a5b25244cc0c84faa4efc6aafc2e3def8fccaf8b7c0584e80cd24f3602"},"sample_id":"sha256:81e959fb9abc0295d84e3ef05f3563066d46858bc6437677ce30d91e3edd4aee","source_transition_ids":["sha256:ed280dffd5f895e996cd9117d6d8de96c0b006ad3b99618142910ebb73199801","sha256:9a8b9ad52120a5a6e35e12f57dbd392e8f493174d2a108b8397dba58c9e23d5e"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5c89e9c957d610e8a6e179af97cec0ad00765a36e9ac20f43adc6fe96b72aed7","candidate_id":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","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, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1817d24d5a00912bd40ca6220a7f179c05b858d93c3314994905e8cf1556fbc4"},"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":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, -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":"sha256:925f3e5e6b736085a51310dfaea87c7cc29f95db9cfd771587d8780111df8312","rejected":{"artifact_digest":"sha256:345b5ab12069fcf96bf969d11d11aff3309dacc90c1057c4a440bc861d118017","candidate_id":"sha256:2dd3c70a74cf2606c8ca8d473899356a19428e81b1ab0db7a8e4c4a54a54c3ac","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"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, -4, -4, -2, -5, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:dd21433d3c8771844c0abbe828ecf22d870e6473cc0f5e33f2fd804d2f3c2f63"},"sample_id":"sha256:57e5761c58a7aa24791acdaea184061ceaf82d9939fcb9bfe1847e1185ec74e8","source_transition_ids":["sha256:ed280dffd5f895e996cd9117d6d8de96c0b006ad3b99618142910ebb73199801","sha256:45521f39f1e90b378a447317537cc2a9fc00a1bb22d018d187c4d4ad7b43c68a"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5c89e9c957d610e8a6e179af97cec0ad00765a36e9ac20f43adc6fe96b72aed7","candidate_id":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","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, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1817d24d5a00912bd40ca6220a7f179c05b858d93c3314994905e8cf1556fbc4"},"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":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, -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":"sha256:32a765e94bf8e51a01c1cf51a29c5671b18b5e0327ca45834290cd31770bb908","rejected":{"artifact_digest":"sha256:c4aed69e84558fb0d0c7e7e62c094502b4ac30beb93a94d58150d8d733b6b750","candidate_id":"sha256:02d3ab5447f379e01daa530076e2605a1282cbeda2ebb5a705f5ecd3ec619ab8","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 = (3, -4, -4, -1, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a563222dda966c5cc403f99b2f0cd165edb38012646bb68365bff2d9218b5f1e"},"sample_id":"sha256:5147c418f1eb02ab47b7ac73561021935c3f4320a52002e2113a3ce0bb9bb6f8","source_transition_ids":["sha256:ed280dffd5f895e996cd9117d6d8de96c0b006ad3b99618142910ebb73199801","sha256:9e871073c08be170736a67a70d6ae16325325fc55a5829994800ffe956e6a912"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:5c89e9c957d610e8a6e179af97cec0ad00765a36e9ac20f43adc6fe96b72aed7","candidate_id":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","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, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1817d24d5a00912bd40ca6220a7f179c05b858d93c3314994905e8cf1556fbc4"},"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":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, -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":"sha256:1410c629e177b35a6b9ebe1ecb62202a5883719524d4eca4052b3b3ff84a89cb","rejected":{"artifact_digest":"sha256:a6185acfe333fb9c4aaf54521df9f9d96f599b9c6b1b4b4931dc9c9581038127","candidate_id":"sha256:f8c7a2bcfabdab0cea994b21cb5bfc844e3c55fb41f97c8a55fbdace4dbd4d5a","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"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 = (-7, -4, -4, -2, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:093aa4a224126117cffca9034c45b431b75fcb69f53dae5c1f341405e673406f"},"sample_id":"sha256:6edfbe4b3eae351d796deed7163e97ec5d615be4870a6d1cd376cd3b999bab2c","source_transition_ids":["sha256:ed280dffd5f895e996cd9117d6d8de96c0b006ad3b99618142910ebb73199801","sha256:e2b476fe2d394c8d4b023add475dd338f22f4a99363b28e7d07c139d077f4444"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:30c5d7e6117a35b400c13efcb862f8071a130a8f13895ec87ed2f9a90d234fe0","candidate_id":"sha256:ee1fe30d0e75d49fa5bf05fd885e7975db3cd584d8b3c3ae433c95b596066317","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, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:145975266421622ceb37f850482cbc8694b18b4bab3a1ed8c60b962c8191136d"},"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":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, 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:cf79960cca65524974c0b1470bcb6f6b5a312eff14afd9df3af34f5ef293d1f7","rejected":{"artifact_digest":"sha256:bf91d2568c32db57dda6a6c8d2afd7cecf7e1010e6334271d18d54b4cf153521","candidate_id":"sha256:05a04161c03649fcb4f473017d5fec6234ca6421dc21042ae9427b1b1447c964","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 = (7, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:741f3ec03af9ae185becac8aa0dd72c471b1e38cdfa28931707deba91971e7d4"},"sample_id":"sha256:57a0db079d971825e8a50be42a60c1580cf979ee2d31dc0001b5962e25df4bcb","source_transition_ids":["sha256:1c915de929b4d3c29bb0f489fe98f624774376cb172fb325cc0da34837a6ed04","sha256:1369b550a3632f7dca5ecdcb076385a78f47d39522088f46f910b7821cb674fb"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:30c5d7e6117a35b400c13efcb862f8071a130a8f13895ec87ed2f9a90d234fe0","candidate_id":"sha256:ee1fe30d0e75d49fa5bf05fd885e7975db3cd584d8b3c3ae433c95b596066317","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, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:145975266421622ceb37f850482cbc8694b18b4bab3a1ed8c60b962c8191136d"},"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":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, 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":"sha256:5bd134f36f70cb8d6e20840385fcb250e241dc19e85f57d739d5882ec6243b03","rejected":{"artifact_digest":"sha256:f59950c1111123e4f50885b1e83468c7f9e2d48103f3196d1c5308fa3a934d20","candidate_id":"sha256:3ef226c70943b51f52a71d733b811fd93911c81cc22e3f35c92e3e143c409c8e","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, 0, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d33add02653161c9410d946e34ddcda82268df873fbedd938d3fd066679001c1"},"sample_id":"sha256:628b4e752f33fb351981130cae4512bb8df38fd0c180fc664bbd8da7e5eb8e05","source_transition_ids":["sha256:1c915de929b4d3c29bb0f489fe98f624774376cb172fb325cc0da34837a6ed04","sha256:ad0b2f351a53eb722ebe0abba8ce736566de108e59da741a9441b219029a92a7"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:30c5d7e6117a35b400c13efcb862f8071a130a8f13895ec87ed2f9a90d234fe0","candidate_id":"sha256:ee1fe30d0e75d49fa5bf05fd885e7975db3cd584d8b3c3ae433c95b596066317","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, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:145975266421622ceb37f850482cbc8694b18b4bab3a1ed8c60b962c8191136d"},"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":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, 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:f52cb94b10298f429209581687632f9731626815d483cbd12f3edf3bb26fce39","rejected":{"artifact_digest":"sha256:de3c80d3062c493b8694bed54b99ec4d0163988c5b6439e127e71c87fa024666","candidate_id":"sha256:cfb7ad513f53edf08e2383c53e10447d5fcbded2161e5dc7b1ade91211a41287","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, -8, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3a36c7ce15263192427ce80114dc1996eabbf258cbe7a989321e2921443a45b4"},"sample_id":"sha256:d0375f5f34df890f7a852621505210134ddc32fd83a038364b84bc42c963e1b9","source_transition_ids":["sha256:1c915de929b4d3c29bb0f489fe98f624774376cb172fb325cc0da34837a6ed04","sha256:70262ad027306cf4a7117de9632c5b032c8b44683a9b9f78297679349c24968a"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:530a2d9bed77d3581c43f78602b8c86fdb01c149bb079fc3bace39b30b2a604c","candidate_id":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","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 + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:3da1d1411d4ddb9aa9195af2c8de2e3c383a76a8a4c729748c0d3d6839ab77b9"},"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":"sha256:0f6a1f00e885a29f6f9f1cd3fd613f501855edad48927a49ac6f41f02bc0bbd1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -9}, {\"input\": 3, \"output\": -1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-5)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:569f20e38187e05b8137fc9239fadd693453e6be2eb8436efe4078d3dce72f6e","rejected":{"artifact_digest":"sha256:96c90ae61beae5f7dbbde70519cf17850b08f5dbda311615b114a94c6b9afbe8","candidate_id":"sha256:1aa46e0ccec0de814b6649ccf82363b35c108df83af9f41f46dabd45c7404e9d","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 + (8)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:60fedca41e52ce7f6d4f6783213b546176eb40737dba07579824fca26bc74a86"},"sample_id":"sha256:58f58efff71c8c38c814c8043767fabb028627ed2071761875205b3655443b37","source_transition_ids":["sha256:32e3dc8893786bad9e3bf000bc688accc1ceba578a5086b79a57c1a3caf80305","sha256:75c2d03255b8cb7a8a92f37db9c69f97c57fdd7b95aaa36b481885d3a69d1880"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:530a2d9bed77d3581c43f78602b8c86fdb01c149bb079fc3bace39b30b2a604c","candidate_id":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","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 + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:3da1d1411d4ddb9aa9195af2c8de2e3c383a76a8a4c729748c0d3d6839ab77b9"},"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":"sha256:0f6a1f00e885a29f6f9f1cd3fd613f501855edad48927a49ac6f41f02bc0bbd1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -9}, {\"input\": 3, \"output\": -1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-5)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b4448a32580699aa65630a8e6ee2cbdaa6fbfea4e84975a9ff2ff80d8f1f9c0e","rejected":{"artifact_digest":"sha256:b027918229660eca9fba0b1627b7100caf2f8a76c7403f87bb84a749eea8ed4d","candidate_id":"sha256:b8dc8837aec9aa4c9109aa7d83e3a48f5adf1199bab6ac1c983836f0cc17df2e","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 + (-5)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-3)\n    return x + (-9)\n","verification_digest":"sha256:5f86f64392a5ff836c288d52fcd8d908802e262c5882837d16520b2dff62458b"},"sample_id":"sha256:4593c48aa8e53fdfc1411e5c4a60d9fe10aee4a8ddec37475b8c96f6987e243d","source_transition_ids":["sha256:32e3dc8893786bad9e3bf000bc688accc1ceba578a5086b79a57c1a3caf80305","sha256:b5c15b7f879c5a6a7e31a5b98c880ec58af92ce9d35309275a72c7239ba5c452"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:530a2d9bed77d3581c43f78602b8c86fdb01c149bb079fc3bace39b30b2a604c","candidate_id":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","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 + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:3da1d1411d4ddb9aa9195af2c8de2e3c383a76a8a4c729748c0d3d6839ab77b9"},"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":"sha256:0f6a1f00e885a29f6f9f1cd3fd613f501855edad48927a49ac6f41f02bc0bbd1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -9}, {\"input\": 3, \"output\": -1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-5)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dd79a5b3d271afb48257838f62579fde35d977626a0ab3fd9580c9ab05e74a91","rejected":{"artifact_digest":"sha256:eb1fa6b23597803e670642b029b2054e6912f193265eab7803834697c593f3d2","candidate_id":"sha256:ac88c2b0f92c6796797c7b348b6fd46ba094c2908942b5e23b8e1c51bfa6682a","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":[0,0,0,1,1,1,1,1,1,0,0,0],"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 + (6)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (3)\n    return x + (-9)\n","verification_digest":"sha256:97f35628e57a2f26e7ca4f22d45aadf5c7686b00cc7158757fc8cf3d9962fdb4"},"sample_id":"sha256:77a26fa61132a0b8bf3e80d8e369106907ec1614197e03090fe7dfac6283dc9d","source_transition_ids":["sha256:32e3dc8893786bad9e3bf000bc688accc1ceba578a5086b79a57c1a3caf80305","sha256:cfc3967ea19941ac44e4c78fb617efc9fa76561bb1e30c6fa5d9c06b840f526b"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:530a2d9bed77d3581c43f78602b8c86fdb01c149bb079fc3bace39b30b2a604c","candidate_id":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","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 + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:3da1d1411d4ddb9aa9195af2c8de2e3c383a76a8a4c729748c0d3d6839ab77b9"},"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":"sha256:0f6a1f00e885a29f6f9f1cd3fd613f501855edad48927a49ac6f41f02bc0bbd1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -9}, {\"input\": 3, \"output\": -1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-5)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:48464f279e98779c62143f487eb06b7a71570f3c62205480d2d997bbeddb416d","rejected":{"artifact_digest":"sha256:28c91e0424b0996fbcbf501dcbe85ca939e4bd6b8b4b1453fbc9d546874bf92f","candidate_id":"sha256:e952268ebc8acdbeb5010727e734b395dfb700386bd47d74dbd3aa495a8d4d06","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 + (-6)\n    if x < 6: return x + (2)\n    return x + (-9)\n","verification_digest":"sha256:e6ea70e4b9c267c1035567c0dd7aaad17babe41e5b80edcc03c0a95fb5e2bd37"},"sample_id":"sha256:80f12cd0c3eb34e3d1e44d5c2ad2bada311cfe85e1abe1bf4ef5120bcdf42fd1","source_transition_ids":["sha256:32e3dc8893786bad9e3bf000bc688accc1ceba578a5086b79a57c1a3caf80305","sha256:3fd8375d10ff1a4026430a689b4d132836b2d36c84a6ba5e6ba59189dc12b10b"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c6f7c7339708363c9f155e9ab96971e80b6d35df2b792e0c16ed664e3e9b6c6a","candidate_id":"sha256:c79d5ea7184ea0420e13a950ad1f7722fe3ddfa61df560b6c85a1b6be299622a","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 + (-6)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:e5216b1d417fb8afd4e6d949ecd400c47e67821387d78920d077cb25100d0542"},"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":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -9}, {\"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 + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\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":"sha256:3478190a1ed719ea149fadbe0dbb2e197d20f257f994b9693bf87aeae2a09526","rejected":{"artifact_digest":"sha256:e7d76f4f7da1cbf3055ac4925af7ce4ace97cce2cbddf9822e34a30ce29d3a6b","candidate_id":"sha256:a353f128211fda5e2658518b42ac9305169b2eb74a5bc21c8071f3a94d3e8dd7","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 + (-9)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:1554006f97a4c09e375de44b945c71b794c7163af0f5ad1e0921a72ad68deb1b"},"sample_id":"sha256:e54079f8ad7ed8f55f72422d47cef70427b432840488a2edda1e934f25e5d7a7","source_transition_ids":["sha256:c1141082f3d084f4d22d070330b2660fc013d5fd4227aaf6e2f44f0879787a97","sha256:1a19a3db649421b03b17144e4c1bc40be97517c3c2bec3dea140051e40b783c2"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c6f7c7339708363c9f155e9ab96971e80b6d35df2b792e0c16ed664e3e9b6c6a","candidate_id":"sha256:c79d5ea7184ea0420e13a950ad1f7722fe3ddfa61df560b6c85a1b6be299622a","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 + (-6)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:e5216b1d417fb8afd4e6d949ecd400c47e67821387d78920d077cb25100d0542"},"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":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -9}, {\"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 + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\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":"sha256:96aa88f0ec9ef75d8c1be55c6064c9eed3339c88538ebf1a56f0b6e18a4c8f70","rejected":{"artifact_digest":"sha256:60f61d79df8b7acfcdd8f4fa813f3cce1f6216f88542132b0caded2bf460038d","candidate_id":"sha256:f394ac4af17cf16a32c6d54673fa42d352731a3db6aed8b490c9e809c4c24bc5","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":[1,1,1,1,1,1,0,0,0,0,0,0],"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 + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:6a86bba21d65c2ecc81aba57d66186bbd6352b667c69de812f6cdfa2033f7839"},"sample_id":"sha256:9c2405535be482c9954df642ea8c1a07f0e3e99bde998cfe749ade64c0cedec8","source_transition_ids":["sha256:c1141082f3d084f4d22d070330b2660fc013d5fd4227aaf6e2f44f0879787a97","sha256:dfbfe5c0635f07bfa43cc2423a44ef57bdf884f48a615d5e99684c6b6ee474fd"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c6f7c7339708363c9f155e9ab96971e80b6d35df2b792e0c16ed664e3e9b6c6a","candidate_id":"sha256:c79d5ea7184ea0420e13a950ad1f7722fe3ddfa61df560b6c85a1b6be299622a","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 + (-6)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:e5216b1d417fb8afd4e6d949ecd400c47e67821387d78920d077cb25100d0542"},"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":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -9}, {\"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 + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\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:d5db1eb4f6be67357ae39ea31278c13d28272cddb016cd2cb549a2f66e5aa1fb","rejected":{"artifact_digest":"sha256:c6e273f616e42cf144478eb93fb4e4598a3a9c71485a47ac18b4e8eb8dc994e1","candidate_id":"sha256:05a0a7c2c4c307ab509829b8346cf946d3d23941574e2479b859d257cb283a14","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    if x < -6: return x + (-5)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:c4850ddbb9b0770a47f625f0c052b74e5029e318a83c295028aa0d7febf8a0a6"},"sample_id":"sha256:a334e10a53fd8a5e725916a9c0b6bd5d2088a32db74a7a2dfc59068de2ac1134","source_transition_ids":["sha256:c1141082f3d084f4d22d070330b2660fc013d5fd4227aaf6e2f44f0879787a97","sha256:af0c897afffb6dad2346a93da11bafff505683e993496b2b9edafa941d106b20"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0ec479de0955a239ffe4b686b9b60bb1c941e9e32df5790b4ad1e946630ea0cb","candidate_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (6, -7, -7, 7, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c1f795ef58e910734eb4aff5414da518bd1bd4dfa1f991fd81dfbf9b93252aab"},"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:d3cf9e0e33d9278702986c4bc88743951c2af72db28481edd5baca69f76afac1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, 5, -7, 7, -1)\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":"sha256:47087d741fc830461bb5fb7a0d04d0d80f4a6a2a4c9cd0cac1eae8e9379cff66","rejected":{"artifact_digest":"sha256:496fa420ed08d45b3888543cbb603df2e0977c0382eb6924bcf7e5bcb18dd0b0","candidate_id":"sha256:9261f9e3aef023b7ee465e76f07bdce916d73bb4c0d3bbe05865874413807925","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 = (6, 4, -7, 7, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a464c70c2d6f5015cc2e457cbd7a34dd864af7a447f39846a13ed620f7ad9497"},"sample_id":"sha256:37d3437c4e5b9b378dbaee21393eff927baec1dad0751a6b2b42d0be36ce6650","source_transition_ids":["sha256:7736cbac141c9fa8d4aa387503230e796a262b82bf242badcc65eaaf06f98a1e","sha256:71d6e9da9552f5e72141f526ae6f12338678599cc68330595dc77150a0837ea5"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0ec479de0955a239ffe4b686b9b60bb1c941e9e32df5790b4ad1e946630ea0cb","candidate_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (6, -7, -7, 7, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c1f795ef58e910734eb4aff5414da518bd1bd4dfa1f991fd81dfbf9b93252aab"},"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:d3cf9e0e33d9278702986c4bc88743951c2af72db28481edd5baca69f76afac1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, 5, -7, 7, -1)\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":"sha256:5825771a299fb8511abf3962035bd80f520b0527db87b80dd80b45239c617918","rejected":{"artifact_digest":"sha256:36f7b756341303624988277d9afa416980d2b48d7f54e0f912a950823af4353b","candidate_id":"sha256:039a78f4a9d6c9fd3506376a94a42be7b27b9aa61dcf11c1b6d615a1bd8da7d3","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, -7, 4, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:262b3d3022485c6214ef72efd6a90d56518ebeeecbbdffb02bd2cd811bf568c8"},"sample_id":"sha256:8b2d6769028eec45658fd6e61c42e28bcdb6a1a2b2cf20c495c6937f739bc642","source_transition_ids":["sha256:7736cbac141c9fa8d4aa387503230e796a262b82bf242badcc65eaaf06f98a1e","sha256:e93134fa30322efc37b394ad5a899941ea20ad0fd0b2fbb07dd327d354dda3f2"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0ec479de0955a239ffe4b686b9b60bb1c941e9e32df5790b4ad1e946630ea0cb","candidate_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (6, -7, -7, 7, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c1f795ef58e910734eb4aff5414da518bd1bd4dfa1f991fd81dfbf9b93252aab"},"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:d3cf9e0e33d9278702986c4bc88743951c2af72db28481edd5baca69f76afac1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, 5, -7, 7, -1)\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:d8eaf1fbfa6f1a5ddb24a4d17197f9946118ad2082ac939265f2398e8a7c0785","rejected":{"artifact_digest":"sha256:fc9831a9fb5ef8904b17d70895380964953bf4c1bbec806ff412d1be73c51bd0","candidate_id":"sha256:b23e7d874299a9539d3235185205e887b56078c62bc0e4f2a5508d117ef60f7b","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"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 = (6, -7, -7, 3, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:37674e19d8269a2bbf4d665069bd4fb9975433fe1e91b3821ba68a02d7075a14"},"sample_id":"sha256:cc88f982cab2e511e27a22612f7af4c8542640e831d59fca285ff5d9eaf52543","source_transition_ids":["sha256:7736cbac141c9fa8d4aa387503230e796a262b82bf242badcc65eaaf06f98a1e","sha256:a6190e9812cc4ee8bebab85fad4b5664c8d1df1f73f7824eb55811896701ec3e"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0ec479de0955a239ffe4b686b9b60bb1c941e9e32df5790b4ad1e946630ea0cb","candidate_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (6, -7, -7, 7, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c1f795ef58e910734eb4aff5414da518bd1bd4dfa1f991fd81dfbf9b93252aab"},"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:d3cf9e0e33d9278702986c4bc88743951c2af72db28481edd5baca69f76afac1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, 5, -7, 7, -1)\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":"sha256:92e1d7aab0f3b4252a1994adfb0a5a3d6d3cbe2dd8128f4679df9b5f221f1b69","rejected":{"artifact_digest":"sha256:802f7d1559cfaaf7e28909aab27af9c6b200472a3a2327b93278f4ef5e383357","candidate_id":"sha256:a1d69918ed9d8e291af94f04a03ce447ef3ba71b270b5f58a60052ff06a31c25","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"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 = (6, -7, -7, -4, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:9ef4f1c83c1e59250a48d6d1b3a715ecd28b2277822757a82f7de9a76886706a"},"sample_id":"sha256:f72dd5475fe7f15ece4c1d4f5541344853ff0e38dda254a5050be50ffe94a457","source_transition_ids":["sha256:7736cbac141c9fa8d4aa387503230e796a262b82bf242badcc65eaaf06f98a1e","sha256:731c4c7f5a4684e5789c855a17c64590b6be378c0d5e7a17a0eba8fbeb8c4dfb"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:aae1b579845a4182a05be94b54ad63c2377f3957d241759057e97ab850265e2c","candidate_id":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","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 = (6, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0151f64d62a45ba323440745b36e428dfb1134db12b671d05cbb7b90af9ec8d2"},"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 7, -1)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ca5b6129748fe011a95a84723749e56760a3ee906f904e50bde2ad726a15c48c","rejected":{"artifact_digest":"sha256:8b0a28ccbfde2a8f3bd72ce5fcca385c61828b9bc98863129f08162b174b25f7","candidate_id":"sha256:a22ad4be7630c9ed92f8c9a1d3ac2249f022650abd387dffebf10d7c507cf68b","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (6, -7, -7, 7, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:12a2937d509c2350a2f4ef79356f732286fe1663ec3765d29214bdf5ad3aa970"},"sample_id":"sha256:db0e2c9b469e05bf51285911366f573469eba803293f4aa69e24dad4e741f3b0","source_transition_ids":["sha256:a62e321223ddfb4649a5edcef62d150cc9681b0596a4c46db91a8b7eb0d97527","sha256:acdbe1b44267917cea5cfdee9a95c6936972d607705ee5676594ee2ed87c86da"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:aae1b579845a4182a05be94b54ad63c2377f3957d241759057e97ab850265e2c","candidate_id":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","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 = (6, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0151f64d62a45ba323440745b36e428dfb1134db12b671d05cbb7b90af9ec8d2"},"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 7, -1)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:105e759351d73b7b7b5d8faf72a665c2ae2337fed5fd65d77ab4ef124eb2c2b1","rejected":{"artifact_digest":"sha256:a1ed6fb6703c6879b73603aaa3a6bf4806181685db5c0c3e0b56cc2847169134","candidate_id":"sha256:9c09f6dc92da1faf8bf3436ecafdd5fc25d00b8ba5998fa1a6d78f7d06ddea11","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"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 = (6, 1, -7, 7, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ff933ce66cf939ab13084a2a881d6cef0a5c09130cacab7c163a354b7bd065f1"},"sample_id":"sha256:9aac012ef00de8baa23b3a423b00e8fe0f0b52189d775038367e80f900a58d18","source_transition_ids":["sha256:a62e321223ddfb4649a5edcef62d150cc9681b0596a4c46db91a8b7eb0d97527","sha256:73011e2f9ca06d213db02604b12749d3c3e7bb73b689c4a7321575848f0fe113"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:aae1b579845a4182a05be94b54ad63c2377f3957d241759057e97ab850265e2c","candidate_id":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","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 = (6, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0151f64d62a45ba323440745b36e428dfb1134db12b671d05cbb7b90af9ec8d2"},"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 7, -1)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6664e939dd16476c2b2e03878111ec913a6e6e2a704fe8f5f50f3745e5dd3d65","rejected":{"artifact_digest":"sha256:439901e8c2619c3554455389990f0f30d660e55e8e5e5672aa5fef1196f45f10","candidate_id":"sha256:a8281f0207ad8836205d087203957ddc7611e9f346963580bc90814e3deff8ff","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"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 = (6, -1, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a82d08cb83020d83b17534088baff93150ea6fe53465f5b1758e731787089c77"},"sample_id":"sha256:dfd3e0abfd5549ab043a403b989201fe1155d205e86ccb771fda41b7fceaf255","source_transition_ids":["sha256:a62e321223ddfb4649a5edcef62d150cc9681b0596a4c46db91a8b7eb0d97527","sha256:4151575f83ca01bae0a34d605425e8ee3436d81f81cb1e35a861e9dfc2501562"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:aae1b579845a4182a05be94b54ad63c2377f3957d241759057e97ab850265e2c","candidate_id":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","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 = (6, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0151f64d62a45ba323440745b36e428dfb1134db12b671d05cbb7b90af9ec8d2"},"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 7, -1)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4913cb17c14014409780da63b2aae387a82d47d0a5869bcbe3f8df43a75268c3","rejected":{"artifact_digest":"sha256:d03199519241c742c3a58c2e6c6d5b1f369525d325c0b64c772725f087f1f611","candidate_id":"sha256:a3083f60cea63ce56c3155dd10c4cb6e6dedd90d45b8d69abb97bfb7c2679bfd","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 = (0, 6, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:81d54af3d27acebcce6ec8389f351540ad2728af18c11919ca3e63434f14ad0b"},"sample_id":"sha256:33906c9f7d75135a6675afa9e0f5826673d43bbd7e4771e8bf041c7943f95039","source_transition_ids":["sha256:a62e321223ddfb4649a5edcef62d150cc9681b0596a4c46db91a8b7eb0d97527","sha256:0a5e2492650e69c10ec6879fae37ac7b1dd0e87470a827726de19cff0408ccb1"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a714d42d05399fbf4156310dfe4ae6800bab073f663038be6c46a683413d671b","candidate_id":"sha256:e49192180f6cbe9a7d9e00205175b4ec433e3a010502f49ff6d00386b073bc4e","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, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:76270973c9a9b22aa77ad4a9eba39e30cc60738a772123e434f3994f46608104"},"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":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 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_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7824ac085909ff8652457b2a77ce78f43ee5ab31a73f2ebea09c7cceac05e335","rejected":{"artifact_digest":"sha256:858bd720466fc47aa9969584b1a2951fb85aaffbe9f40d5e404095009890478e","candidate_id":"sha256:4f6540741d46af1ca4b1f46deb7d0496ba0e0258e3ff77d9e3421f53badeb8c7","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"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 = (7, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e3ada8ff5878d2992c52d1dddb3095d6c72b7539e57dfc7b9e876f0b452ecfef"},"sample_id":"sha256:abb8e445e386cee9942164d78d49461c3c7a72998d66c5f2f9d3f6bb64d80886","source_transition_ids":["sha256:510d2a2156591f0b3778a28e8bcc2ec1e2fba7426b7e435ba7067fbf2d9d975c","sha256:23c9085de71211be53b8441adc334e0c5752194031eb4dfe898670da404b6d99"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a714d42d05399fbf4156310dfe4ae6800bab073f663038be6c46a683413d671b","candidate_id":"sha256:e49192180f6cbe9a7d9e00205175b4ec433e3a010502f49ff6d00386b073bc4e","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, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:76270973c9a9b22aa77ad4a9eba39e30cc60738a772123e434f3994f46608104"},"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":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 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_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:31993ca8c549d312a155962ee4bad9b5d58d7096f39545a2d17c8550c2226e60","rejected":{"artifact_digest":"sha256:b7d4336269dfdc7482bbd837026458d2029e587cc7f93214cac6a8d4aee8c22b","candidate_id":"sha256:5d004d7e4e1cbf5f4d53f638bd4fa636051c0a664f3cc02917795858e5048af4","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"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 = (6, -5, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f6ee91e06b9abe1a8d2e28e436914229968f17b247c2f5abdaa4ede6a7c7906b"},"sample_id":"sha256:08b9d254894bf59b859b9fc17f3966677e52fec5596a667851a2c168e5acdc1e","source_transition_ids":["sha256:510d2a2156591f0b3778a28e8bcc2ec1e2fba7426b7e435ba7067fbf2d9d975c","sha256:61cea125872e8733027993848ce459bc522f5cea7a02d976d0dc8034e8c9a740"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a714d42d05399fbf4156310dfe4ae6800bab073f663038be6c46a683413d671b","candidate_id":"sha256:e49192180f6cbe9a7d9e00205175b4ec433e3a010502f49ff6d00386b073bc4e","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, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:76270973c9a9b22aa77ad4a9eba39e30cc60738a772123e434f3994f46608104"},"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":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 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_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bea0d5db0904376b57f713bc30d99a1fe242267f20b99341768b9537c5ab6f7d","rejected":{"artifact_digest":"sha256:2131829cf8a1f8cef7bcce3af4cd7de6e579de2fa8182c8aafb7054033d33f5d","candidate_id":"sha256:f14cea84e7426a250a833ae6e1838a3ad24d6555134f828a0a8e92819b2aa2a1","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 = (0, 3, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:08a82ca13f8b553502992d8d592b8d07a5e812eea3116b427b8682311f5e705c"},"sample_id":"sha256:c109849dba4e8fd79ea885f6194b61b258a30f26773cbe59add9df5cf6b62ece","source_transition_ids":["sha256:510d2a2156591f0b3778a28e8bcc2ec1e2fba7426b7e435ba7067fbf2d9d975c","sha256:7484a3ecb7810bcb5b868509d9d8e907d5843b130fe6d6eea8ed0552d965770b"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:81ca8099fe15923172a5e83cfea643c6463e82f8a571764208161da60e384fe7","candidate_id":"sha256:9c3e7f6ad016178d5726b9b5707cfeace3fc22118a1a7005243195f500e29587","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, 3, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:55076015d82a437aa29d1e95b2d1c2decac1488167c68c0d444fcf53b8ab932f"},"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:ba5783948f9684a47b12858318c7e571c8e9fea648f029ef770b8d35aa4c7b64","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 3, 14, 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":"sha256:0c318ebb30c5365272586e4301f0167ca49e501859b6d8ac566c361ee6db6c0a","rejected":{"artifact_digest":"sha256:9b67628ea889cb83723dda5aea18faf2e1763c721fd57661adb4fdbe69ff8c2d","candidate_id":"sha256:dba871f36bbccf67898929295cce6d0376ba1da05963a04527e30c83ed2a6d0e","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, 3, 14, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:36bf960d88664f8e5a3737fe82a4064712e5e354281656a2fc2c48db9a3a19ff"},"sample_id":"sha256:0755077a8c9587469ed15f071fa17680650768c10eb86702ef751f41fd492c8b","source_transition_ids":["sha256:206aa3638b3069ee46177640252acc00efb5f2083987ca601a40aef5e03a6154","sha256:7c8c2531800ca09bf36cf208bfc6498a1436716d8bc5d9176f4d3d94b1bcbc9d"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:8b0a61d14f2719892ec1aa9498cbb6cf080b1c3a8c445fc6e5a1951ca6c91c50","candidate_id":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","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, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9cc25bb366d8181a05941f7bec9a4d6d902fdc43bfc2b5e8bfe998d79d8fc677"},"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":"sha256:9c3e7f6ad016178d5726b9b5707cfeace3fc22118a1a7005243195f500e29587","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 3, 14, 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:d1ea1c72e262ab4dea06f894029e2380a9de299910aefcb559d5f955ac25923c","rejected":{"artifact_digest":"sha256:92a7a7e277889710a4a78c4d4dca93133854c260950dfd9cbe7305c93ac58910","candidate_id":"sha256:0f99552b901925041d0234093c9d04b79f514e938f7cea2dc8468fa859fc634d","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":[1,1,1,1,1,1,1,1,1,0,0,0],"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 = (4, 9, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3cdd420433f60cf08199eaafd555ac638e73d5ab5f701d4d8e4afd71cad45fe0"},"sample_id":"sha256:a10e4643ad68c2a4848cab0a42a3740072315e970d890838a327fd70ba468b96","source_transition_ids":["sha256:af2a872dee6e36a2086f5d590b8f7426e3f99ce2f74b1e876394222d7258e876","sha256:faa72fcf742b669e152b14529c623bcee02974fd936ef8b2af5c16f4ef83c86a"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:8b0a61d14f2719892ec1aa9498cbb6cf080b1c3a8c445fc6e5a1951ca6c91c50","candidate_id":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","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, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9cc25bb366d8181a05941f7bec9a4d6d902fdc43bfc2b5e8bfe998d79d8fc677"},"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":"sha256:9c3e7f6ad016178d5726b9b5707cfeace3fc22118a1a7005243195f500e29587","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 3, 14, 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:d01e7f91bd3c55bb5a5c9be1ee10110baa708eedc3ad0821d9afb16fb168cebd","rejected":{"artifact_digest":"sha256:9b67628ea889cb83723dda5aea18faf2e1763c721fd57661adb4fdbe69ff8c2d","candidate_id":"sha256:dba871f36bbccf67898929295cce6d0376ba1da05963a04527e30c83ed2a6d0e","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, 3, 14, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:36bf960d88664f8e5a3737fe82a4064712e5e354281656a2fc2c48db9a3a19ff"},"sample_id":"sha256:cace888d3932fb8a0693df427b40427fa29c7c23f3b13d2fea4e902ce8a2d46b","source_transition_ids":["sha256:af2a872dee6e36a2086f5d590b8f7426e3f99ce2f74b1e876394222d7258e876","sha256:8198aceef382c8374b63db0aab7e17dcbf7250de681ac761e2e18213a9c78577"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:8b0a61d14f2719892ec1aa9498cbb6cf080b1c3a8c445fc6e5a1951ca6c91c50","candidate_id":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","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, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9cc25bb366d8181a05941f7bec9a4d6d902fdc43bfc2b5e8bfe998d79d8fc677"},"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":"sha256:9c3e7f6ad016178d5726b9b5707cfeace3fc22118a1a7005243195f500e29587","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 3, 14, 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":"sha256:3c566f2250e83336bb4c71039f639e9bf5b2f3d9117fa176556d2a2e692c9e05","rejected":{"artifact_digest":"sha256:c17983f90af08ccda3c9a370d794ace005381cc35163ad4a8be31951238bc904","candidate_id":"sha256:ca55ca6ed0b6b8949638ebf509a5e1b7f5781a2e4ab30afedd8e44657985b00b","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, 1, 14, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:40953f0a4bce1d7fca88d310801af9a17b6c5d7d3baa8eafc0365e7d371d420b"},"sample_id":"sha256:a6efcfd70edaa0cb2ea945e12857149476e6c4cfdd1f7ee174c886c60806fc9e","source_transition_ids":["sha256:af2a872dee6e36a2086f5d590b8f7426e3f99ce2f74b1e876394222d7258e876","sha256:ee7869ed03a48873e04653287d6706233f0bb7c9965e0f40ce131c5e726662ac"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:8b0a61d14f2719892ec1aa9498cbb6cf080b1c3a8c445fc6e5a1951ca6c91c50","candidate_id":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","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, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9cc25bb366d8181a05941f7bec9a4d6d902fdc43bfc2b5e8bfe998d79d8fc677"},"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":"sha256:9c3e7f6ad016178d5726b9b5707cfeace3fc22118a1a7005243195f500e29587","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 3, 14, 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:d4dec188f7613492fb4f0f1cda6fff0f072531eb7f760b4445553ca9a4dbff5f","rejected":{"artifact_digest":"sha256:ed715c6e3e04f40535641d394e2eaeded0c98d97b5ac05f444551ecd1a8fda72","candidate_id":"sha256:0a09b05248c3a5cad29774250484e1c1b9bb496a5ac9e1f98a9975eff8c59613","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 = (3, 1, 14, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:92e75850a3937a183520124488c206691a5fc9b4b17a2de1736f24a98fc60363"},"sample_id":"sha256:c8fbab89d1096372376da98e956c7338e5ab7f5e4e0d0141bbefbb9513eef59f","source_transition_ids":["sha256:af2a872dee6e36a2086f5d590b8f7426e3f99ce2f74b1e876394222d7258e876","sha256:a336a8d05353606fef10ca030831333b5806dbdc3821f46e495660dd2bb5f467"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:01c607a5b710ee16aa6a4ae4cfb38415223e82f502b1dbdd68f3552dded1cbc3","candidate_id":"sha256:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","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 = (3, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2e56270e4ba571f99909d4456937cc2ef01816bcb71e52236c7c5ca7b3363465"},"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":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 1, 14, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1b08bffe0adb427b1aa8fea9fc8c12bc0a4c0b94d74f7c13f94adc043e6aae4c","rejected":{"artifact_digest":"sha256:1f844025a1911df784f1bd4fad6754580f1e563c77ab481d59c25455889bd521","candidate_id":"sha256:7ee45ec7418f0dcd2fcee99d33896c217077ae591406485e67c204137188fe29","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 = (15, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:7511871bc3b24981ac6f92aeaf0c733f7ff82a194e6a0e7b57a5720043e4fa77"},"sample_id":"sha256:f4cecb5b3bd455006715f75ab18c3372611b4eefccc77867e285527db70977dc","source_transition_ids":["sha256:208e6b425bdf15b04cd9d9a32f5e07799e3b8f1ab03d4370ecb183f2d7af13ed","sha256:10943b1bd3277b83488cf9d1eb99bc27e7eeaa03dc2f495a1805915877c32292"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:01c607a5b710ee16aa6a4ae4cfb38415223e82f502b1dbdd68f3552dded1cbc3","candidate_id":"sha256:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","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 = (3, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2e56270e4ba571f99909d4456937cc2ef01816bcb71e52236c7c5ca7b3363465"},"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":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 1, 14, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e2ae44bebbff8a36a3d67bf70891b6cb6175031903b4a75c3c718f87f6615049","rejected":{"artifact_digest":"sha256:24735a65e35bad8c1188b11c880a9a4846c42bd46a2e3bac859619d99ef76d56","candidate_id":"sha256:28f34cc83a4e509dc875c0f6e17713bbaf66337c2b9ac2ff2067be210c3ab06c","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 = (4, 10, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2b053bc81830b4038a5bea2a6f23a63cf235817e8eb7705be067dd8de12e592e"},"sample_id":"sha256:cf3b6e41ade83cd6a13f1b67e14330f242f1d7f11cc0246219ce85ca509514f3","source_transition_ids":["sha256:208e6b425bdf15b04cd9d9a32f5e07799e3b8f1ab03d4370ecb183f2d7af13ed","sha256:5be39036781682e6b65ef42d792bbfc06d19c47b3bdce374e40f5032888c13bd"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:01c607a5b710ee16aa6a4ae4cfb38415223e82f502b1dbdd68f3552dded1cbc3","candidate_id":"sha256:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","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 = (3, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2e56270e4ba571f99909d4456937cc2ef01816bcb71e52236c7c5ca7b3363465"},"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":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 1, 14, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f6cff83a6616338c4a5e0c509854ead3a057636b5e359bbbebd3be01fb955f2b","rejected":{"artifact_digest":"sha256:04a26963589d03aab06635805d49939bbea256dc81c3d3f357e1eff0c47af59f","candidate_id":"sha256:eab9a717c4a410f231c0717e457c45c7e836d07eb2cd55591e16ad04065885bc","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 = (3, 11, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2492f3cc311a194ce2a5aa975bbdf99c1f2603ac18260afb6d8997b016229b54"},"sample_id":"sha256:55a0b368a3341da8a4a883249e9fca4986f2a3b8e11ace8301378a87893768b1","source_transition_ids":["sha256:208e6b425bdf15b04cd9d9a32f5e07799e3b8f1ab03d4370ecb183f2d7af13ed","sha256:6fcdb3eb66d7232bd0c97594335538cf5f108fb3542109e797f8bcda9f6e11db"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:01c607a5b710ee16aa6a4ae4cfb38415223e82f502b1dbdd68f3552dded1cbc3","candidate_id":"sha256:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","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 = (3, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2e56270e4ba571f99909d4456937cc2ef01816bcb71e52236c7c5ca7b3363465"},"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":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 1, 14, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4a1dbaa0527775f30a8c18b3307648511403e7bdaeb52c31e0e50b09586e8364","rejected":{"artifact_digest":"sha256:ef19042d19fb904b4cfd06bd0ea2ec5592ea1105d0389eafbc61b9f4c0efde9c","candidate_id":"sha256:a47af613793ea091f40e9784b42b9b48777e98915f784d96f35e76e663d16bc1","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":[0,0,0,1,1,1,0,0,0,0,0,0],"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, 1, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5284086cfc33f6a8985fda2fd6e3fee232e202fe15edddcefedebd2eb0e548f4"},"sample_id":"sha256:8d29fbba988a7592d8ebe726959baa3c8f1adf6fc71fb27fd1a7f6a5ab04c7c4","source_transition_ids":["sha256:208e6b425bdf15b04cd9d9a32f5e07799e3b8f1ab03d4370ecb183f2d7af13ed","sha256:b7791ea9916c70c4b695b990449ab9e2401bafc294296ba7bf69994eb1776173"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:461cbc2814aeddcf03fccfc418187532417a6579e47e5928961f87f0d2d12fd6","candidate_id":"sha256:62fe04d692eba9352e5b42f58be07326514d51f539d572d23a67f277ed44d03e","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, 1, 1, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f4e902ea7e9093406efc08b01b34ef6f2d3b70d5d58bc71eb740cce7e8383996"},"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:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 1, 14, 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":"sha256:140a35b792970176b6a23399d6e56f79f9fa017e58834c5eba6e3c06f61a6759","rejected":{"artifact_digest":"sha256:2d18c02ff2cedc9361418ff6460ef6cb1b6121b4109dd4e433ae53fcc14d49f2","candidate_id":"sha256:3788f350ea9f5aebb5c03814bf986a694fb80c3ef89ab48da2097081b99803d2","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 = (3, 1, 6, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5610451d50d59922750e09f300919e2c9378a386e170899b55334160e45981a7"},"sample_id":"sha256:b2a0942870ecb7b099838c048fd9c0c94bf4e48894c33bced0a6a5a55e172e7b","source_transition_ids":["sha256:aa46436b0a2e74f0ae573d2e6fe8447027402eacc63b841bd8d6f51ce17047be","sha256:268c838801a0f0fe2c798771c91f69f59859df0ca5680bb19e0d585ad86c7710"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:461cbc2814aeddcf03fccfc418187532417a6579e47e5928961f87f0d2d12fd6","candidate_id":"sha256:62fe04d692eba9352e5b42f58be07326514d51f539d572d23a67f277ed44d03e","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, 1, 1, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f4e902ea7e9093406efc08b01b34ef6f2d3b70d5d58bc71eb740cce7e8383996"},"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:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 1, 14, 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:abeea224c304eff3b7f227b72898e39b84317d6d6281d28407f33710e4cebf75","rejected":{"artifact_digest":"sha256:8b0a61d14f2719892ec1aa9498cbb6cf080b1c3a8c445fc6e5a1951ca6c91c50","candidate_id":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","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 = (4, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9cc25bb366d8181a05941f7bec9a4d6d902fdc43bfc2b5e8bfe998d79d8fc677"},"sample_id":"sha256:d8fee84027f2ad4a9bc6fa9eec0d59b9750ae75102ee79e2e167d1f9930d5a7c","source_transition_ids":["sha256:aa46436b0a2e74f0ae573d2e6fe8447027402eacc63b841bd8d6f51ce17047be","sha256:5d95cd87ea0ed7cb36ea6b84a84cfde60e6f74d3042767a9c587860c11e41ce6"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:461cbc2814aeddcf03fccfc418187532417a6579e47e5928961f87f0d2d12fd6","candidate_id":"sha256:62fe04d692eba9352e5b42f58be07326514d51f539d572d23a67f277ed44d03e","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, 1, 1, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f4e902ea7e9093406efc08b01b34ef6f2d3b70d5d58bc71eb740cce7e8383996"},"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:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 1, 14, 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":"sha256:17b76aa5259749347a65388954eb3d9338811ac370b47b31af8db727736053e6","rejected":{"artifact_digest":"sha256:7f74dd9b2fd5bb2ce734b6c206445f7a81a352a0a18a573bfa635f6c4bc3cfea","candidate_id":"sha256:e7d93c4af547da780bc974477fc10160f6aaaccbb75cb51bfaa96b4f4c337ba5","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, 1, 1, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:87f156705f0da668a99b3d07a47d6ba1fb2053cf046bab10438ac32dfcd637cd"},"sample_id":"sha256:3591326121264b386382858089d2a665cad186655c662f1accecace2f654359b","source_transition_ids":["sha256:aa46436b0a2e74f0ae573d2e6fe8447027402eacc63b841bd8d6f51ce17047be","sha256:6df44366c7743520903f7b6279792ba748e8e19df41c53ca3522542755ad0481"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1622f97a1f5afd3b1200255a8752f5e75b3947420faa3192a11c7d8a00a52925","candidate_id":"sha256:082f0ea086e582afce6976098d295e5668f9957448c5a3504081cbf79491334e","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, -2, 4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7226eac07a0b114dd74c25427fc3fdb299328983dcecf265f84615268437e62c"},"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":"sha256:2aa3baa0c21b108c435f14b9be1c89ce8960481cb6cba38cd4d663769919d228","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, 7, -2, 9, 5)\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:ad96991bec957cc092629c2cebea11a261585d40076c56028d6e64d4d51c37c8","rejected":{"artifact_digest":"sha256:8d9ecdf9b816d3ea0f79d0809853367cab155d58e382fdb608c042e4fa22b48f","candidate_id":"sha256:ef28a06eab6ec604ee38a5b53444321db9b1d42ba5ca01acbb3fefeb81941165","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 = (-2, 7, -2, -8, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4bcbe32bc0c3933726cfdf4a7f631c0cf5a88b7b4f91d8b848073a1c1a918e43"},"sample_id":"sha256:ad586acc909864fd5babcac11cc6743c9ff7c9a44197c8179cc123842998370f","source_transition_ids":["sha256:896b68fab6c0b5f823f8be03f428a0f6cd2a220999c44b664136b3cde18d0058","sha256:3c65772b0d37486a3e8c67a767acd1fbc7ce0cfe5fa907a3d8985807fdcc86ef"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:73218493ea289e45cd637fb90babfbbeab13e583bc33894ec3b4626341fb4419","candidate_id":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","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, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5baa01e04ae1d086528cd5d8aee3120c7fe44eac454315a4d7a90b6fb93a03ac"},"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":"sha256:082f0ea086e582afce6976098d295e5668f9957448c5a3504081cbf79491334e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, 7, -2, 4, 5)\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":"sha256:93c0122ca4af54550594170102cb184d8e6ba46eb07cc36a5338922f2ba2aaa6","rejected":{"artifact_digest":"sha256:9e7809e145ab54881ae647eb3a4b67ac0b1910695f7667fd5b96346c09c54be6","candidate_id":"sha256:478a8ee1b19a29ee15b10ec40c209141d0fda7cde6b193faf446825a9803459f","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":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-6, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2399cc00f10b0f26ab6bca8b36b56b35ed973ea117b1768b08eaae074ad40a67"},"sample_id":"sha256:2df26f4cf76068e5918c63ad548a49e4c3475782779332bd46840f8269d14418","source_transition_ids":["sha256:c25511a32e423bd4b5f02741fb1ec60df33c6d5915d893920a043a56eed47086","sha256:1fe82ac5c4669b82336370c8ec4ff7176d6460bba58592eda030b7d0c15bd358"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:73218493ea289e45cd637fb90babfbbeab13e583bc33894ec3b4626341fb4419","candidate_id":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","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, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5baa01e04ae1d086528cd5d8aee3120c7fe44eac454315a4d7a90b6fb93a03ac"},"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":"sha256:082f0ea086e582afce6976098d295e5668f9957448c5a3504081cbf79491334e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, 7, -2, 4, 5)\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":"sha256:167407161a585ef4e440ad4edd57bd71e5444fb7f420703c62c71f0afd4ffa4e","rejected":{"artifact_digest":"sha256:26ed25813c9e996a1df5faa17b6d93db1c83d5d301874246e388c0bd15d7e535","candidate_id":"sha256:1d01597bd628865683198e03b6ea7043a3bb93961d3b44daa85697447df5025e","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 = (-2, 7, -2, 2, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c38e651317f47e6f01fc67b80449001ce6428f03c3e7754ee9ff9bc0591b4a4e"},"sample_id":"sha256:5bf47b3e99393f7204027ef0b17446c4ada7973d4d5e33e73ecc29d7c063b84c","source_transition_ids":["sha256:c25511a32e423bd4b5f02741fb1ec60df33c6d5915d893920a043a56eed47086","sha256:1cad463521ce0873b75ff1178486c34bc06fe497bd8e04bef79cf7367165310e"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:73218493ea289e45cd637fb90babfbbeab13e583bc33894ec3b4626341fb4419","candidate_id":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","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, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5baa01e04ae1d086528cd5d8aee3120c7fe44eac454315a4d7a90b6fb93a03ac"},"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":"sha256:082f0ea086e582afce6976098d295e5668f9957448c5a3504081cbf79491334e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, 7, -2, 4, 5)\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":"sha256:744e1c3dfeb0b698e5552a9c1391c3ee32fee76f8f6a2f71000a9ab24b8a9527","rejected":{"artifact_digest":"sha256:541d902424543477f4d93c17c8e86a8b61d8a3e605eab366595809f9fe1044ad","candidate_id":"sha256:473ad4fadffc6805c7434d6b33c16e1b3341afa2477794bed37329df4d373a19","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":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"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 = (1, 7, -2, -8, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8257c4530ef5ba41fc15aac32ab5c82d3da9ad694f3d4aeaf83d27d9cf787015"},"sample_id":"sha256:6f060d5c44f52c2edde8f9029ac0c4193b75115f0ae7a6f36f6625b857c3d834","source_transition_ids":["sha256:c25511a32e423bd4b5f02741fb1ec60df33c6d5915d893920a043a56eed47086","sha256:92bd417c3ba37a9544bd7600529b1b33c24b2c05f24e63eb21f4c851dc1afccf"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:73218493ea289e45cd637fb90babfbbeab13e583bc33894ec3b4626341fb4419","candidate_id":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","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, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5baa01e04ae1d086528cd5d8aee3120c7fe44eac454315a4d7a90b6fb93a03ac"},"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":"sha256:082f0ea086e582afce6976098d295e5668f9957448c5a3504081cbf79491334e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, 7, -2, 4, 5)\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:bcc38a7980f2e7ffa8b29f3a90ac184112b444738c3b6b9d9a24d2ee82a7a596","rejected":{"artifact_digest":"sha256:9fcc83296e4dfb89312f50600d620d867139920d96265e7ab67bf660b912ceb4","candidate_id":"sha256:8cfa1fca83f9cc2241fa0f3d97f6c16c1cc92d52bcc03f423b5768b4b514ac65","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, 7, -2, 3, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0795c617ca6b1dd049c3b152f3385bc87dccc94ca71f289dbd65704b1ba5a53c"},"sample_id":"sha256:e45afd4087d32d7dd1f6ce22723d8beb3e2272a43e8ec3f9e4fcb03b15091a8f","source_transition_ids":["sha256:c25511a32e423bd4b5f02741fb1ec60df33c6d5915d893920a043a56eed47086","sha256:a3edc29131eab3427c709fe8f74bb6b6e3cc2b92f76603d81d582783253b5694"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ecb4cadfd465c54201defa567fdbff43b4697f1e6d2cda8cb0e2c7409a7f0c00","candidate_id":"sha256:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","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, 7, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fb837c86901a2dcf9e54917b5a55c38733e8379635ffa6ac11271d49c4421b41"},"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":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 5)\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:fcfa1b7a450c9e1ba1fe69a8cd32839346ef35feac1b705b764ad6d861a7d4cf","rejected":{"artifact_digest":"sha256:51c45cad381cc353ec9800c9c214ead49f1d6bc3db2a9faa62a3b3721b4a1f0c","candidate_id":"sha256:c872734aa2afe95df22b5b54e022d8f8d4b85a705e8caad6a88e23153be42e29","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 = (1, 7, -2, 4, 7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:49fe0f27878bc51bc4e777521ec2ff60799a6d3b680934bd0bf81f64007a1a32"},"sample_id":"sha256:61fe37b8e393dad1d23642a1d2877747787fa2a0f2a314cb554559a0ac7903db","source_transition_ids":["sha256:a8d338148562cb6f312e0149c85a191d843280dd14c37521eb8f9cde85fbcd68","sha256:5e9c4148265a962cca93121314aa9c507d32bb9b3259ad34134e609f20deb95f"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ecb4cadfd465c54201defa567fdbff43b4697f1e6d2cda8cb0e2c7409a7f0c00","candidate_id":"sha256:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","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, 7, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fb837c86901a2dcf9e54917b5a55c38733e8379635ffa6ac11271d49c4421b41"},"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":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 5)\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":"sha256:28d149b8d17ea032de2ac9592f5e58a4310c840fbf591425454995c2b2636d1f","rejected":{"artifact_digest":"sha256:6950b1473455dc7d91f755be3321da96ebf6df96ed52f4e3daf3944b216631c5","candidate_id":"sha256:7e0447dabdcbba356765d78a12a12ad1e8755e857e8356ce4b454be84f3e76bf","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 = (0, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dcb9900b12be107ce0fb8d360e0db6a7f248b6df17cd98fc6122289fd4cbd100"},"sample_id":"sha256:37dd89a200e718e2b3b87d6173c0df3e3bd88b86c422cb1adcafe79016a4766c","source_transition_ids":["sha256:a8d338148562cb6f312e0149c85a191d843280dd14c37521eb8f9cde85fbcd68","sha256:722347f3927b1032bb2a685dfe8848a52672078e4852d9bdebf14dc86dc36a11"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ecb4cadfd465c54201defa567fdbff43b4697f1e6d2cda8cb0e2c7409a7f0c00","candidate_id":"sha256:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","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, 7, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fb837c86901a2dcf9e54917b5a55c38733e8379635ffa6ac11271d49c4421b41"},"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":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 5)\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:c40940bcc1845283ca060b6bd294ee3670e35cec51a9fdf8fb02e23d48cc6778","rejected":{"artifact_digest":"sha256:536169a57187483731353240ea0e34f252888c7dab35264a7b3c9a3326dae474","candidate_id":"sha256:3b92cdd3eec32af4d5260f3cb3a2ced94b18fbd998788fc0035a7d4267e59a41","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 = (-6, 7, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:bce108125e376c5a8e9f1d210537a52ea890dc1c2986ab659836bdb442299cdf"},"sample_id":"sha256:b10e417d7c8400b76dfcefc6d6082c49703d581fd73c870785a2278b49fbfc82","source_transition_ids":["sha256:a8d338148562cb6f312e0149c85a191d843280dd14c37521eb8f9cde85fbcd68","sha256:79627ddaa85885f5c1271854108f1f098d5c7bd76fe0f8760688bbbe834cf279"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ecb4cadfd465c54201defa567fdbff43b4697f1e6d2cda8cb0e2c7409a7f0c00","candidate_id":"sha256:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","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, 7, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fb837c86901a2dcf9e54917b5a55c38733e8379635ffa6ac11271d49c4421b41"},"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":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 5)\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":"sha256:6f30a8f9a79096819100d8c2c0b8ab6dfcffcc622b2bb405348d92b0ed9ed3e1","rejected":{"artifact_digest":"sha256:025c06c49878c2afa5e00b5c0a92167b8ee1bd4e191a1ca0f41877a36b4a973e","candidate_id":"sha256:124745d415b084d5476bbffeaf96d6e54bae2d1423ae14149a860a3cae647112","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 = (-4, 1, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dec009bd73ed6d3585d9e404156f923d9b19746cb2a8d9e9640c0c956bb245a8"},"sample_id":"sha256:56e678b52a38c800c4a342a66535d7e6f9a486ccac1fafeebe59c19a82f8e4b7","source_transition_ids":["sha256:a8d338148562cb6f312e0149c85a191d843280dd14c37521eb8f9cde85fbcd68","sha256:d47a5f3f959930e6ff6a3e6e3d815189ff73fe2301eeb7c3e2f1e81988ca87c4"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a703ec46eda56bcad836ba88fe5b7f34f925b9b8639158c841cd5718d7ca80c4","candidate_id":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","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, 1, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dd6f4dc56fc2fe5e84bab7585863291c5d107b3afff4e3e37b837798c542a452"},"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:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 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:ab1ecaf0119e4ea87c883cb10f331d7e9a642eb43202c7ecc665780226fe28ec","rejected":{"artifact_digest":"sha256:373b6ef1c3e6599e198622c5b6155740f125ca294a50ceecc9440b9a468faadf","candidate_id":"sha256:38d9eab732400590c64c9c96dabb5cdece87cff3d379f3ad8d6f1e1c4576eb0b","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (1, -2, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ac5e67f28ecb4bbd100dcb8d540d3155de360b9904e06d32c5fc26bd8ea07442"},"sample_id":"sha256:85d5d9aa7cb35ad137ee6aeb59b4f10165f954f6343af8324adfc7dcb476e886","source_transition_ids":["sha256:908fefec8e1911ddd5e289623ba373db3a25777b44ee11483611d9cbe673df2d","sha256:d97586d90c9b0e104c1ce56d8115750dba067f253fb5c5cbe760e563a273d649"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a703ec46eda56bcad836ba88fe5b7f34f925b9b8639158c841cd5718d7ca80c4","candidate_id":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","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, 1, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dd6f4dc56fc2fe5e84bab7585863291c5d107b3afff4e3e37b837798c542a452"},"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:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 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:a4139ad3a4dc0ce2b2c50173290f95e24e0c3ff34f051d3629908713bbb0e26f","rejected":{"artifact_digest":"sha256:237a782ff5ca0076f3350321a016a20e492c14b5ce7073c9eca6a8543113545c","candidate_id":"sha256:9c9d6c108c802ed2566de42efe7252c01dfe3ad0578b864c2550cc61ebb3e28d","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 = (6, 7, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:19a304559f35749b9ca5ffcb85897952b26921f2b32a25b4bf51dd0fae7770a5"},"sample_id":"sha256:e97ae60acf91222e21e1096591e7ff322707aaba8206feee92232a30851fbe88","source_transition_ids":["sha256:908fefec8e1911ddd5e289623ba373db3a25777b44ee11483611d9cbe673df2d","sha256:12c192da44fb603a99c9f1c0a2f6bc02010e8bbe7e7ecfa2ebe09418d017dfe5"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a703ec46eda56bcad836ba88fe5b7f34f925b9b8639158c841cd5718d7ca80c4","candidate_id":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","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, 1, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dd6f4dc56fc2fe5e84bab7585863291c5d107b3afff4e3e37b837798c542a452"},"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:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 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:e6c677a9b1ab3eb15a3880fe75563dea8d531c94ee971945ed03e56dc4486980","rejected":{"artifact_digest":"sha256:740698348ef89cec86a78f1e86debccd2cb7fe67e55e0f841613b41d96e7e85b","candidate_id":"sha256:90ebdb78ed4bd1d37f52953f2a263494b21930cf50359e7a643a8583629489f5","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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"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 = (0, 1, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a2a130991936fce63c3f5fcb716c1f4451c7146f51b285721a2d84067e081f36"},"sample_id":"sha256:71d4014ca2914d3bbdcfa9ba5835cfcc27adbaa13d7fa5bef89b5196af21d33a","source_transition_ids":["sha256:908fefec8e1911ddd5e289623ba373db3a25777b44ee11483611d9cbe673df2d","sha256:57f98447da4ccf97de326a8149a0211af4762069d9109844af0bffdb6bc48db8"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a703ec46eda56bcad836ba88fe5b7f34f925b9b8639158c841cd5718d7ca80c4","candidate_id":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","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, 1, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dd6f4dc56fc2fe5e84bab7585863291c5d107b3afff4e3e37b837798c542a452"},"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:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 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:e521ce1ed7074504f1e39e7cbabc5f5e0ec6b271631a9cc09b30edc75cbcd500","rejected":{"artifact_digest":"sha256:d60da28870c8b4cddad032b069d609131470cf470eeff2d1d79de070f373837a","candidate_id":"sha256:dee3ccecf4e811ec42781d594f180bb313ba803eb933314117803223bdb43503","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 = (6, 1, -1, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a412a16858ead88b5dcadb51ea2bf31bccae7a6db4544d3073a26bc01e10f573"},"sample_id":"sha256:e2a8d5c8ce4f765cbf0f84175a4384b93af85df99d8722e9d21ee1b281a643cb","source_transition_ids":["sha256:908fefec8e1911ddd5e289623ba373db3a25777b44ee11483611d9cbe673df2d","sha256:4c5105417125dcb65649238d3b70400a9d8b911696bf25984ad43d94fd5e0ffb"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:44b0219c1e36bb970ec5c9feac775dba1943a365575eb76c6ee2ea58a16c2ad9","candidate_id":"sha256:7f9e81480fd42d527f8cca8bdf814da2cf5ba782447914d82b3b221e5dfd66c4","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, -1, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:60d1b3ba357441e7f12be863936983ba93acb33ff177d37b5ec9e7d90934c1ae"},"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":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 1, -2, 4, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9060e49a76b126be5ccb037af4e9586cae814dbc48884325a98a93fd006e21e0","rejected":{"artifact_digest":"sha256:1990f2d70fb5f95d2b061d1078d94a8edad65b8e89c0e62dad8e302ddb9ed2fe","candidate_id":"sha256:23d3f003bb0f674945f6f2687d13597a864db4bc148bf7e1075e95713ae0583b","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 = (1, 1, -3, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8199c469cc0d97a8b385889dd90e6ba7fc37faf5df366a9475cf7aaa9dcf28f4"},"sample_id":"sha256:5ebc98a9402eba22c6957517f3675807cef87d7279b5d61533b55edeef655bea","source_transition_ids":["sha256:6bdf830331458716cb85278bc4111214ebf6c6c6c254f83e359f1878508be869","sha256:0136dd855cc375fe4b2ed9551828403beebc792df141e81d788dd8a04d31156d"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:44b0219c1e36bb970ec5c9feac775dba1943a365575eb76c6ee2ea58a16c2ad9","candidate_id":"sha256:7f9e81480fd42d527f8cca8bdf814da2cf5ba782447914d82b3b221e5dfd66c4","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, -1, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:60d1b3ba357441e7f12be863936983ba93acb33ff177d37b5ec9e7d90934c1ae"},"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":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 1, -2, 4, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6c98b07e884ef3b11766e3c3ade1c6f9a3bd9d420eabee347ee3a2cc09c8dbd4","rejected":{"artifact_digest":"sha256:f0c4514a1cafdb0424a94e79ea063cfd276cbf07a8e225c379ee3888f0442cc7","candidate_id":"sha256:dd5ab915a2236d91217b3ed1330f51916975eb95a6b1173a0d2ad2a6ddaef0ad","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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, -1, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:237bdd1369ba10426421d4b2e68a263abc4a9f801424f5e47be1a3dcb7c7004f"},"sample_id":"sha256:f3a8ec03c6cfe9b4dfdaee727340a3afe583eef63d2cff8506accddaffdf4c2f","source_transition_ids":["sha256:6bdf830331458716cb85278bc4111214ebf6c6c6c254f83e359f1878508be869","sha256:336c04de9adc84d624a89b07c12182f60a8d6d9297e4eaa7212446f7964068eb"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:44b0219c1e36bb970ec5c9feac775dba1943a365575eb76c6ee2ea58a16c2ad9","candidate_id":"sha256:7f9e81480fd42d527f8cca8bdf814da2cf5ba782447914d82b3b221e5dfd66c4","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, -1, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:60d1b3ba357441e7f12be863936983ba93acb33ff177d37b5ec9e7d90934c1ae"},"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":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 1, -2, 4, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f00674b17961791c8b0cdfeff6fb247247ebbaaf97208e98df8a0d2ab338a5d7","rejected":{"artifact_digest":"sha256:393c3817bc640701fe55d6693d8235bd6bc9745b27a29af4e62508085a33fac9","candidate_id":"sha256:8ef902a9c7f57c6d6939aefb642beafadf6521a4a673120908a8bfe39489396f","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, -5, -1, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6caf7889362f07f47225092e0bc2725a34e0d3b23c957f8c989e037b4985b6ac"},"sample_id":"sha256:c9325a3934bae887012df06f0b2c3d1d4d2577f7664660d7a57cf03ea0a44267","source_transition_ids":["sha256:6bdf830331458716cb85278bc4111214ebf6c6c6c254f83e359f1878508be869","sha256:3c7a45cf1ebed093cd5f771d83e23e0560114869f9c28202c8b5abd2ec8f4b6c"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2293685bdc552ede727ec0ac7afe8aa364093cd0c5a413e5e5902994b3b17d15","candidate_id":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","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 = (8, 5, 0, -5, -3, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f624a4a07e52be24cfc70ebd2212d5f8f13175029578be2b97151300048d96e9"},"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:dd3393a201c8313f872a316cc7306371a9cb0e50bb593893222fbe374973176b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 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_012\", \"lookup_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":"sha256:4ebf4752362c48721bba98217596364545909bf1a7b90200286d53ba28b9a5d3","rejected":{"artifact_digest":"sha256:d511d38cd090a9d2cda89e64ddb03b8b0db8a7bf8d144b9637e2926a03804b8f","candidate_id":"sha256:fe69910fcda067bd0cc40e7fb70ac32362aaa5924056cd6a4d5237bd5fbed944","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"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, 5, 0, -5, -3, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:00f47d0ef76286f20d135f880adee3e51c86716461786d0164d71b75adde25c2"},"sample_id":"sha256:840bf5563a10e81e06092b7fd9386013fa587bcf90a94ce62b05be592bf52621","source_transition_ids":["sha256:11c451ace5a19ce0455902123a660d2d2e7cc4891c9aaa754ce4c75c7befb54c","sha256:705eb660d9c811f5d724c0ef7199d51e2b77f4c86cc7f001b7a1889938fb04e0"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2293685bdc552ede727ec0ac7afe8aa364093cd0c5a413e5e5902994b3b17d15","candidate_id":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","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 = (8, 5, 0, -5, -3, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f624a4a07e52be24cfc70ebd2212d5f8f13175029578be2b97151300048d96e9"},"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:dd3393a201c8313f872a316cc7306371a9cb0e50bb593893222fbe374973176b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 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_012\", \"lookup_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:a47195acd44403f9e976c717f50ca911036ae8ec9b1095ece9d80c5ebd6e63b3","rejected":{"artifact_digest":"sha256:40e5159f7216421b67fd7c6ab5878e43ed5dc817e833182ee139dc42225d4334","candidate_id":"sha256:8466dd5ff20d765336afc26257d1ae07ddb1feda83c1f03a1959e66de2abe530","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 = (8, 5, 8, -5, -3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:fb61237e4898e44dbcb52fe19ffa7583f3955f0bc829b2082db61260fbe3cab1"},"sample_id":"sha256:e679a5790c92521ca27d15e2f8fca14d4c83f053bfac393b9cd6a6e7586aa1f1","source_transition_ids":["sha256:11c451ace5a19ce0455902123a660d2d2e7cc4891c9aaa754ce4c75c7befb54c","sha256:a9917efd3435a1d152214f91d8289a1e2261b072fe166b893ab0886a7bd89b7f"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2293685bdc552ede727ec0ac7afe8aa364093cd0c5a413e5e5902994b3b17d15","candidate_id":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","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 = (8, 5, 0, -5, -3, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f624a4a07e52be24cfc70ebd2212d5f8f13175029578be2b97151300048d96e9"},"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:dd3393a201c8313f872a316cc7306371a9cb0e50bb593893222fbe374973176b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 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_012\", \"lookup_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:b15263c6726515cf33af9d123f6befe5875121d72146b287b60821de2feb8557","rejected":{"artifact_digest":"sha256:ee0ff4ba4af34b97caf22c6e41222b7706e903d08d34c8c942452f2d562f0a2d","candidate_id":"sha256:ac4ebafc1b1fde14eb40b821dc8213b294224e3365eda7be02d78523216ec6f0","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 = (8, 5, -4, -5, -3, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:623701efa181df7221f83acbb7601d00b1a629116f3b01cea674fbad13605916"},"sample_id":"sha256:081b5ea5ceb17cf7c16052aef03ba7877a422dd4d72e1facf8a0433756f133a9","source_transition_ids":["sha256:11c451ace5a19ce0455902123a660d2d2e7cc4891c9aaa754ce4c75c7befb54c","sha256:45befff6742bcf59dadb75c30d20560f165b5cb5b3985a41220edf3f32e83fd6"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2293685bdc552ede727ec0ac7afe8aa364093cd0c5a413e5e5902994b3b17d15","candidate_id":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","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 = (8, 5, 0, -5, -3, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f624a4a07e52be24cfc70ebd2212d5f8f13175029578be2b97151300048d96e9"},"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:dd3393a201c8313f872a316cc7306371a9cb0e50bb593893222fbe374973176b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 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_012\", \"lookup_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":"sha256:880661015b3cbdd9608904b7b59c9a7c46c4d576c13be36f61c826b8cfb7e234","rejected":{"artifact_digest":"sha256:3494bf3c962e8dda744ca5c261df7a6056d2406b058bd2f152dcced15ab369b0","candidate_id":"sha256:aaf8f45e3873e4fff58298a0dc1732874b18e5155806017b77ee2ab09f405690","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 = (8, 5, -6, -5, 1, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:46b5432632e4f4243fea48122f24bfb95387f60dfbc1c142b4c8e6c0d800f75c"},"sample_id":"sha256:b5123ba329eaed48982d37ee83d977fba64e0b5f6769ce389eff470c0a35c7ca","source_transition_ids":["sha256:11c451ace5a19ce0455902123a660d2d2e7cc4891c9aaa754ce4c75c7befb54c","sha256:cef5f73929148fcd41c276a0b9a1378bc2e6dc9407ce5f31b447a8b74dbb675a"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0a0f1ad7a8de73796542e0a6308964c5cc4d3f45ffb92b9dad9f643a2dd90f41","candidate_id":"sha256:838db0ac4d9d2d8cc24dfbdd0e3152c281d568a727598840c0e5eaee8c73e140","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, 5, 0, -5, 1, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0efda909343f3e6273edfc473ba0931d50fb4cea92d39a2c665d0e92b400c73b"},"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":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 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:b952a5793e068dec855d52924d2cafe0f6de879c838d3452c6079cedf0024648","rejected":{"artifact_digest":"sha256:aa44dd2855d892449cf27fba9f5b61aeeab43578476d3f45409b818243418685","candidate_id":"sha256:5121d68d237430da376e3e73732e629fc91113470ea3b8f88fd76763c6366105","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 = (8, 5, 0, -5, 8, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0add1585dc36acd409d25b243a5da2cb263a2afbee86d8f70149d20fa576fadb"},"sample_id":"sha256:9d528ebc1697c3926c2cd226187622ea8ea93795f92da9f76a313a5b47ead133","source_transition_ids":["sha256:6fc5c204a8fa6b5ab30be479af5203b394caea365d8c05995927054f31c6cbdc","sha256:c1f182702003bfc6169b1a2fe554c7dd194a4cfa8fae28753502c0f5f7e0ff48"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0a0f1ad7a8de73796542e0a6308964c5cc4d3f45ffb92b9dad9f643a2dd90f41","candidate_id":"sha256:838db0ac4d9d2d8cc24dfbdd0e3152c281d568a727598840c0e5eaee8c73e140","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, 5, 0, -5, 1, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0efda909343f3e6273edfc473ba0931d50fb4cea92d39a2c665d0e92b400c73b"},"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":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 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":"sha256:9e093a464d3ec2ee49d2dd400bc8826575d11eb4706a2f966d6f450e0494554a","rejected":{"artifact_digest":"sha256:23d45765a50bf3a2dc1ef103cb246bf4ab849573f02dc534966b4b4b5f7df3f0","candidate_id":"sha256:c18dc6f3011fd47b7a17e2a634a8e4bbfba3da666bfad47c23680d9f85d3c287","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"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, 5, 0, -5, -3, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a89fa17422a09490149299050d31d56295220c07f9c672f1689feaac517f4c4f"},"sample_id":"sha256:b2ac02f010165fb585a28baf5745a031f1407cb6accc975d27097a18c4fd2796","source_transition_ids":["sha256:6fc5c204a8fa6b5ab30be479af5203b394caea365d8c05995927054f31c6cbdc","sha256:86f2dee3314c62f9810e054f2dd772144b478ba28cbe9bf90d93724cbabaa494"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0a0f1ad7a8de73796542e0a6308964c5cc4d3f45ffb92b9dad9f643a2dd90f41","candidate_id":"sha256:838db0ac4d9d2d8cc24dfbdd0e3152c281d568a727598840c0e5eaee8c73e140","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, 5, 0, -5, 1, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0efda909343f3e6273edfc473ba0931d50fb4cea92d39a2c665d0e92b400c73b"},"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":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 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":"sha256:0a4e0b95ec99d2a7f3b5c0df5b9d8d488eb41b09d257931a36973415015efceb","rejected":{"artifact_digest":"sha256:b667147fef2b111be78661c2e232a7471216bb2beacab2e7f31cb31637b2cdd6","candidate_id":"sha256:ef52f1c622442f41d7ec5a3e54a700c893d02afd95d5fe2f6c74b86d11174e79","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 = (1, 5, 0, -5, 1, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e596affe0da4f56681c1419a80a0480f54192b71ed7755eff0f2800aea4ec2d5"},"sample_id":"sha256:4bc2b0628036b3fd1dfbf7fa5fbd990ea045b10cf75f1f43ccec69f5b068c24b","source_transition_ids":["sha256:6fc5c204a8fa6b5ab30be479af5203b394caea365d8c05995927054f31c6cbdc","sha256:99612935b3ff5f53cf7662af9b7c57407cc0202bc10931ce9329e6d2a05b818b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:9d030f063deb3979d4efb09336a57012975eaff2b86ec8aec86024c6bba0a7b5","candidate_id":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","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 = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:96cc31e9e94fb4f0c1fd93dccbadb6d3ad109ec4d484ec795c3f152ccaac4058"},"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:fd4f464b783a574f8344a070261b13b03692862c525ce8cdeb7861aeb05c4c72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 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_006\", \"fsm_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:a83dc051ed0272e7a54d201a299ee23bfb7e6a7e0ee6bb66c3df629588847196","rejected":{"artifact_digest":"sha256:1bed5ee3c3a39ab8b7cb8053fdb53be6b268240cac01a2e7b5fcd99593b0047c","candidate_id":"sha256:c6e61dc9853e96cae6e82eb42811e811c01f0ba00ed1667349d213d0bde13bdc","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, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c3babcaeea343db4f74cb00982c81479febf71e1ae46ba05ea32cb7e4365aa4c"},"sample_id":"sha256:c680d8f55d919aaac36fe806722fb47ba3f6a9ab11b236d3f2290141c2917d00","source_transition_ids":["sha256:0d2e6eecf83273294f6d6b3b8b6f33b80a4ac7c048fd1449c36f0c4f4709c68d","sha256:4a7b0a733852088148c33a74ecf3e2db89897d3f44f5017c63a269b096927b24"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:9d030f063deb3979d4efb09336a57012975eaff2b86ec8aec86024c6bba0a7b5","candidate_id":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","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 = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:96cc31e9e94fb4f0c1fd93dccbadb6d3ad109ec4d484ec795c3f152ccaac4058"},"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:fd4f464b783a574f8344a070261b13b03692862c525ce8cdeb7861aeb05c4c72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 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_006\", \"fsm_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":"sha256:8672edb54599cbca3770c61570d7276098ca35ed49dddcbeb659934efb4177c6","rejected":{"artifact_digest":"sha256:805fe2a0a8a7ac97fdfa7cd8f8e88cee59224971b64933834a7160cbbbf3c410","candidate_id":"sha256:b7a888c544088a2d9143bd48922263095e13e10b20df237399e148c8317c8fe1","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, 3, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5fa98ac8dc7b2f04f1121baf98a1fa23b258280bd888f886dd7a35414db20d42"},"sample_id":"sha256:aa56dec4fddccfa8c3a2f01ef22f9e7a4d88c99f0d756683b18dece72a00696d","source_transition_ids":["sha256:0d2e6eecf83273294f6d6b3b8b6f33b80a4ac7c048fd1449c36f0c4f4709c68d","sha256:0d24f603ca79aa2f9ba326bc299e1bc37e1ed237426756ada1242658916eb176"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:9d030f063deb3979d4efb09336a57012975eaff2b86ec8aec86024c6bba0a7b5","candidate_id":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","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 = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:96cc31e9e94fb4f0c1fd93dccbadb6d3ad109ec4d484ec795c3f152ccaac4058"},"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:fd4f464b783a574f8344a070261b13b03692862c525ce8cdeb7861aeb05c4c72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 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_006\", \"fsm_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":"sha256:85f955eb166832bc825ff50bae93b91198743ee61882bb611d4e9171956b4166","rejected":{"artifact_digest":"sha256:9284331219003987359244b2ad0720c296476b9ec7016074d6eb3d99aaba510c","candidate_id":"sha256:6edbd2670416a94fa1a7fb340381241233df4d38e8620938725d07d592848711","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 = (1, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6e6d637d6c669b8eac3b046233b1b29a8437a7aadb116fe29040b35cc762ce00"},"sample_id":"sha256:ce47d73a78d0717c475cb473390475bf495bbb934a1d0c18a2f1daf651290d1d","source_transition_ids":["sha256:0d2e6eecf83273294f6d6b3b8b6f33b80a4ac7c048fd1449c36f0c4f4709c68d","sha256:8e23e4901eb34214a8b551c99052025df6d7fbed21962bc9e957c1c2fe166076"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:9d030f063deb3979d4efb09336a57012975eaff2b86ec8aec86024c6bba0a7b5","candidate_id":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","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 = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:96cc31e9e94fb4f0c1fd93dccbadb6d3ad109ec4d484ec795c3f152ccaac4058"},"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:fd4f464b783a574f8344a070261b13b03692862c525ce8cdeb7861aeb05c4c72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 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_006\", \"fsm_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":"sha256:922bcc8f5d1b54e3015f7cfa7af435b4fff9cc886b899a7c5f898f2d3195b882","rejected":{"artifact_digest":"sha256:6090298ca4d2cf186b6272bf78cd966dec9d78454bc10c9950a3686a24d969b2","candidate_id":"sha256:cfd42a3b26435888cfec1eb86adcef82206c5eafa8eca5b0d038f8b3e4620a5c","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":[0,0,0,1,1,1,1,1,1,0,0,0],"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, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2f5bac306f8ad504fad60c2e16abd918c1b7e5f65df5214234a2ba482d88400c"},"sample_id":"sha256:e995c7fe51af12420d46ea78d189b08b4605e49a2779696cb22a407ce0e930c0","source_transition_ids":["sha256:0d2e6eecf83273294f6d6b3b8b6f33b80a4ac7c048fd1449c36f0c4f4709c68d","sha256:368a1ad17004a84c161e22e4bdb2c81c67f7cfbbb9df8ca6575c883a14044b02"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0cc66ef1bdce9737dd0a467be39224bc5bd2b7c85f9fb01f688a7e32cb7d8148","candidate_id":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","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, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:63976944a104b64b362b96fd6437b48d59dfd0cce89365c9172f4ebc500f9022"},"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":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\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=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":"sha256:48a50486013a386e347ec251db88cfd81c445ed86a9bc455448346e479c4738f","rejected":{"artifact_digest":"sha256:aff8f3b89a173a00c8f0e3166a99f0ad3fc02ff0a47bfdd192d036a16625a153","candidate_id":"sha256:3379a267c92a34c600f4f194174cd551e6f7f28f0d4ec6f723c3b8cce234a62c","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 = (1, 2, 4, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a9d02c333731f9bd725da3785729e0aa3fb2a68f7a5ef446529ef2b82df790f2"},"sample_id":"sha256:5c92f9362c9222f1ca79c66823ec16a9a67d2a7da726e75e2beb091ca942b7ad","source_transition_ids":["sha256:e077e37894c20dd1221aa85a4cfd987cb6a8169814877f2326cbe35083e890c9","sha256:67eadba9dbb5f24f0d4244660ce83c539c10304ab986e8748c43a2609cb8ccf7"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0cc66ef1bdce9737dd0a467be39224bc5bd2b7c85f9fb01f688a7e32cb7d8148","candidate_id":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","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, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:63976944a104b64b362b96fd6437b48d59dfd0cce89365c9172f4ebc500f9022"},"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":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\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=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":"sha256:2b35e0567df41fa6def9d3d4b56980f2272bb98b3a31aaeaba4b0a43d64313dd","rejected":{"artifact_digest":"sha256:cd9cc74c32b07b99eb22991bff273a883ef82bd4cf7a628ab4effe4e352064ce","candidate_id":"sha256:be019ec0d3b7d95922f9fbdf1f0e6a261f8a0c4ce17f18a9f5d03085f3de679b","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 = (3, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a8310477ccc92eedebac5c73f7eb74ec7bac360a0249e9af04d5ae4000806600"},"sample_id":"sha256:7f4ce64e576a4355b6aabd4a4d435c48001ee03d82741490b8317ffce069fcb8","source_transition_ids":["sha256:e077e37894c20dd1221aa85a4cfd987cb6a8169814877f2326cbe35083e890c9","sha256:6f1a6fd777a8681da86c9f68a80366b831caf00945671772cfe463445d95e1ae"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0cc66ef1bdce9737dd0a467be39224bc5bd2b7c85f9fb01f688a7e32cb7d8148","candidate_id":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","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, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:63976944a104b64b362b96fd6437b48d59dfd0cce89365c9172f4ebc500f9022"},"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":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\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=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:aa0f59cb3d31d5d2b5402088f843ed8148d6e389c1b1c14d9620574f803acd4c","rejected":{"artifact_digest":"sha256:fa30072f6d549064aae71dad644dfb20588d3f7addcafc3c7b004eab1fce8ad2","candidate_id":"sha256:64ec435bf11538182e9b0153928b769501b01f83f5ba535c0c726604945f7e71","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 = (5, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6cfe12d55935ac6d40a27bd552d2aeeaf00f9ee18b654515b6b36e01d4af37cc"},"sample_id":"sha256:837be95735a924643e6f5afd2675fbec006c5fb05d2e00daec4ebba419b89ce2","source_transition_ids":["sha256:e077e37894c20dd1221aa85a4cfd987cb6a8169814877f2326cbe35083e890c9","sha256:2856fad4e490ce335b263f1c00390bcca0d14298846cfd92331d040e656f2f92"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0cc66ef1bdce9737dd0a467be39224bc5bd2b7c85f9fb01f688a7e32cb7d8148","candidate_id":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","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, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:63976944a104b64b362b96fd6437b48d59dfd0cce89365c9172f4ebc500f9022"},"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":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\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=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:aea4c2ace7771d05cff17218c7024ca2869a343091b6a5eea33e3cb30aa860e1","rejected":{"artifact_digest":"sha256:bab16f3c7f4c0659bd187fb5484437e4cedd8838da87ce1aafdd28cc1b9ff521","candidate_id":"sha256:8101f37436a40d3fd07cd39b423234abdb2fcb79e19245f677c6d8275e247518","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":[1,1,1,0,0,0,0,0,0,0,0,0],"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 = (2, 2, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6de2fa4d3b9baa0d07c50729a642a972c5015ab67dac7d30b11b450a29f65d55"},"sample_id":"sha256:cb6a902fbe05c37baf35b580025f328f571d82620b7767738a97f61b60a7c519","source_transition_ids":["sha256:e077e37894c20dd1221aa85a4cfd987cb6a8169814877f2326cbe35083e890c9","sha256:f75632a8b5d40c94493ac714ffd6966384cd82580de2cc38f975039bc8ef7c83"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:413974567a8d9b49d8ae6d0c02d18c3d20a2519ee54a9868041ed0e795966338","candidate_id":"sha256:b658ac8a0f309de534915e344b5c3e3f544b8bbee46c7df80aebc213f2e2e493","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, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8576afa4c82035e02b34e12dbd498783ce702b13ef149a9b8ac68d3c9a11cb30"},"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":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\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=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":"sha256:1b992fcf7e8209a713600d62f4fb722cdc4e42d88fcd61e1e732549df05fa579","rejected":{"artifact_digest":"sha256:86d3f622dfa24534a906cd147d8550bc8327fc7f8def9ce78cba39fb0d72b0b4","candidate_id":"sha256:29c99e8fc69c26501c4acb29af683ba800cadf9f548bbd78addb48953cf9cb87","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 = (1, 2, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:20e9fddca8649da933204e796f6584d55fa61329511d2c99218bbb1f80183f53"},"sample_id":"sha256:f9188b850a551b56a00f7534fdde86c4bda21927006c2d13296b24d877f1bf7b","source_transition_ids":["sha256:5990539a41ab819a4fa2b2f7ff3a66b7685eddc2cc68c2ea50b86d6446dc5e64","sha256:46c5d873249ddf20c206ad6bdb5475e292b2f076a2abe4a44f8e60c52b499627"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:413974567a8d9b49d8ae6d0c02d18c3d20a2519ee54a9868041ed0e795966338","candidate_id":"sha256:b658ac8a0f309de534915e344b5c3e3f544b8bbee46c7df80aebc213f2e2e493","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, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8576afa4c82035e02b34e12dbd498783ce702b13ef149a9b8ac68d3c9a11cb30"},"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":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\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=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":"sha256:3da62ed57988ef5440cb1889eb5b888c13dcc19a43e724e167a3b85806608a41","rejected":{"artifact_digest":"sha256:daa890f5d8758531f5dedfe5ceec3813aa101857aa9b2ca5650be5b6aaca0924","candidate_id":"sha256:bfa858f76f94b461407ce821068051b87bcb422b97880793aa6d539fc93e0f69","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, 2, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:397f5210791b25e3e4c507a8533b254a0b2c0196a54234a949b75456bcb9f8cf"},"sample_id":"sha256:314753cee4fd4af46b290dc2b07de592661752236022198a468a4147d03414d9","source_transition_ids":["sha256:5990539a41ab819a4fa2b2f7ff3a66b7685eddc2cc68c2ea50b86d6446dc5e64","sha256:63f61893bdcda8694e2d92c5991bd308a2d36f984073bd23902ab1eebf7b7ded"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:413974567a8d9b49d8ae6d0c02d18c3d20a2519ee54a9868041ed0e795966338","candidate_id":"sha256:b658ac8a0f309de534915e344b5c3e3f544b8bbee46c7df80aebc213f2e2e493","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, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8576afa4c82035e02b34e12dbd498783ce702b13ef149a9b8ac68d3c9a11cb30"},"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":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}]\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=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":"sha256:1b73e927d24065f64a16215f03dde3fc25d114229cb9a6e6049c5c077ded90d5","rejected":{"artifact_digest":"sha256:3036cf1fdfaca998982596cabf5b4d226bbf3c2d13eb704934a7f59fdc363e09","candidate_id":"sha256:b68aec90daace37f529fbd9b13f52bf3366f684d77451a847ee3cfa8a008b892","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":[0,0,0,0,0,0,0,0,0,1,1,1],"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 = (1, 2, 5, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:713b3b4ac4e799535e56d63f26884a98250eb6d2db5bb8559115fc30fae85f80"},"sample_id":"sha256:87f7b066fb4267d163ee4daddce07cd4802b0b89b34243cd927ee208b9e8746c","source_transition_ids":["sha256:5990539a41ab819a4fa2b2f7ff3a66b7685eddc2cc68c2ea50b86d6446dc5e64","sha256:8c265a96e53ab0f03bf76de70b32a4b95adc437f386bdcfadc7835895561a2cd"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1ccdc70ef812d2815c46a6ef6aae3da10534f52189a7f4011d74ecdcf9ab9d76","candidate_id":"sha256:5375dbf670b437676f5ee8c161db13d871158dfb8996ee1c8e6902e5f9bb9886","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":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, -4, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b4cf8a52aa689494632037a10cac649991ae930487d11056b608026562fa9b04"},"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":"sha256:7bfa8b48afefe7f6274dad4fd7c738b1de2bf53a912c71e0d12e89aed739142a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, -6, -4, -6, 4)\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:cf226ad8ee3d5462ade70a471637c4c53b498f6a7273f8962ad330ea99e6fdba","rejected":{"artifact_digest":"sha256:28967a297e57f85e0e3db37410814794e4c1c997fcdb23d8d0ef6c3ef1d0a93a","candidate_id":"sha256:dbfe167cc2cdf0c5a10ca8f0d529cbed7b601cdf9d61f674f434c682449e172f","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, -6, -4, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:1d51f27d9ef0e0a0371fc1b82009ead4c214bf0b16ad95c5762aa1e289daa694"},"sample_id":"sha256:54e380dd8772742d48ed6839758cbd76b9264aa453d12b5889dca2a817fa8373","source_transition_ids":["sha256:6cbfde6440e537c85e40abaed145c4fb209fa1a1adc620e08a2747031d20ce70","sha256:84b2acfc3b3ee9c15acfb8f7f134ea25a5177835d8178e7db3c01f285812437f"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6134ffc5bfb34f47ba35ecda970d13166ef7f32d872326756ae70b8401d765f4","candidate_id":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","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 = (6, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8b3bf5dfc7fb97eea48c897e7148428f776b8085d72e9fcc4fa1c088748b6e37"},"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":"sha256:5375dbf670b437676f5ee8c161db13d871158dfb8996ee1c8e6902e5f9bb9886","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -4, -6, 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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_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":"sha256:3887a49e4caa4484910709790d52f3aa2d94e035527dd1b5b57c197b34001c12","rejected":{"artifact_digest":"sha256:24d7de38f0cecd70fc8886be7d16b8b2884e615796a9d0abf6a4f139257e99ea","candidate_id":"sha256:9bcdbb717d2e0025d82e11825731d05f0f99efeb9b2277f18a83f290ab9a5772","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":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"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 = (6, -6, 4, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:73042b80ca14c4d2f359fa43f753eedbac1e5c862530fe928a73aae525f621f0"},"sample_id":"sha256:8d0ab434382f07f88ec5005cfafeb6803560890d252643d5510b452b24bf3349","source_transition_ids":["sha256:77f1e5e02c6b35742fe8b22832e16c0f269350c326165b01c1db764357f9bf20","sha256:86d83f26ae34cbba78871dd2a8bda59d00e37ff84df5d68d93953123d1ff3192"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6134ffc5bfb34f47ba35ecda970d13166ef7f32d872326756ae70b8401d765f4","candidate_id":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","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 = (6, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8b3bf5dfc7fb97eea48c897e7148428f776b8085d72e9fcc4fa1c088748b6e37"},"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":"sha256:5375dbf670b437676f5ee8c161db13d871158dfb8996ee1c8e6902e5f9bb9886","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -4, -6, 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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_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:c460f1854254be86e692b26b983b6e1e3d5c0dff440f64bb8b7ac6677075eb2a","rejected":{"artifact_digest":"sha256:115d42d6d64d79dbfcb6f76e567345bca865dd795f313e16da3fe1532c9be595","candidate_id":"sha256:23f86e9f3ebb1b39326fdb680e316736f6a5982a0a88b482f22d8ef8efad573d","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 = (5, -6, -4, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9ffb75f5a6b438e91927e83cecc70a5b39e626a4764133503d24989a15ee1b0a"},"sample_id":"sha256:f7a964c7872a22e32bf6673920727f54953ecf5724566599df2b2913970fcd46","source_transition_ids":["sha256:77f1e5e02c6b35742fe8b22832e16c0f269350c326165b01c1db764357f9bf20","sha256:a5537c8b1f29a7fee69643a7d70370933aa31b851ddf9d7a3fa7777fa1431c0d"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6134ffc5bfb34f47ba35ecda970d13166ef7f32d872326756ae70b8401d765f4","candidate_id":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","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 = (6, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8b3bf5dfc7fb97eea48c897e7148428f776b8085d72e9fcc4fa1c088748b6e37"},"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":"sha256:5375dbf670b437676f5ee8c161db13d871158dfb8996ee1c8e6902e5f9bb9886","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -4, -6, 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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_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":"sha256:6aaa51257f6b7caa1dc6ffee61018ca48b34cf6d810db8f2a3342e6cd8a54ccb","rejected":{"artifact_digest":"sha256:cc9710d44de85d8985000bd79ea14f24beffc244286482f34f30a47b219ea042","candidate_id":"sha256:d9ed0f5727032a730443e70eda4d1d7473239d35fe60548cd24ea2d35c10a057","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":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"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 = (2, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dbae73be9aa9093c4c410c5687a15c17ccc452609a1f1f90a7a69d51c4bc056a"},"sample_id":"sha256:3c2e85531a4abc41743f375c8d61b33499cc3e669b0b88fd7e6d8a63f03bcf81","source_transition_ids":["sha256:77f1e5e02c6b35742fe8b22832e16c0f269350c326165b01c1db764357f9bf20","sha256:900fa398fd43f094e876a87f477409065d32908b8d812ff14bb90b2338894972"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6134ffc5bfb34f47ba35ecda970d13166ef7f32d872326756ae70b8401d765f4","candidate_id":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","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 = (6, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8b3bf5dfc7fb97eea48c897e7148428f776b8085d72e9fcc4fa1c088748b6e37"},"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":"sha256:5375dbf670b437676f5ee8c161db13d871158dfb8996ee1c8e6902e5f9bb9886","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -4, -6, 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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_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":"sha256:2cb572a6c178e2a4741449622cf44ba848b239f41dd9f5782dfb1598bf1cec05","rejected":{"artifact_digest":"sha256:dd8a14a7f96b64c8b4ae862d39103493358f3f040ed6bdfd35ea2a3330eabaf0","candidate_id":"sha256:a6b8f538974ebaf928ed06139d99cd9e49148b365d6f934118a9a5eb30d19496","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 = (-3, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c265286abc6d92a94bf9d6f792f69811509fa51e2859a68999f675886ddf2dc0"},"sample_id":"sha256:f9e81aa1395658aa5093c74ffc193e9c256ea55e7c59d93af15261b06035edba","source_transition_ids":["sha256:77f1e5e02c6b35742fe8b22832e16c0f269350c326165b01c1db764357f9bf20","sha256:3338b1a507a267bc2dc305348d8b6d0d0b680e86e9015513a0581d0530609bd9"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:60008293a6b99272a9cde7ee63f6389c5e9d3b6d5abe78533181d82ebb6d8fbd","candidate_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5b37e0608fa4d86b616ded15ff0b9a01dcc78ae5612f91173c4ca9ae46d525cd"},"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":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -6, 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_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":"sha256:1939b7b6995d423fbb44108adcb140cd4d5ff28ff1abbe441e8271b6ced1657c","rejected":{"artifact_digest":"sha256:92492c9c56ac1b7956b221db08a2d985967a1da74491290c399f0b2394741673","candidate_id":"sha256:82ecade8e9c2c55c7899afc3b6bf2cfd991c8a1d6154a6a1c7d2fef5ae47d645","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":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"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 = (6, -6, -1, -6, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ddc538c11c4af5ac62aad8397ea1a98bcfea9ae94ea8ece7afc78e642b617cf4"},"sample_id":"sha256:d6d1026109000747f9a91471670067ed58371c7b14f7bf5d405d507cea1225fe","source_transition_ids":["sha256:d484a08094b3d8fa31682f55e393ca3b1f07d4aaabc2fe6457ec55a18e58a1e8","sha256:8cd5a8f7617bb4b17c97d8abfbe9261cb41b4623ff67d003e04810739975e4c5"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:60008293a6b99272a9cde7ee63f6389c5e9d3b6d5abe78533181d82ebb6d8fbd","candidate_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5b37e0608fa4d86b616ded15ff0b9a01dcc78ae5612f91173c4ca9ae46d525cd"},"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":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -6, 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_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":"sha256:7967b5eaca2552915b7d8b4ff79203ef599889b8ee3d7c1e6b070e270197d048","rejected":{"artifact_digest":"sha256:fa71af3fe704c223d7a1fd1ad80c7304db51b5b023fc923b5bb58f534f7e8d85","candidate_id":"sha256:6d3fa19ced688533e3641bcadddd442ae0aa5376d15b2ce55500bf72ef76b40b","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 = (-6, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4afaf1326eed148acc306c461437f8e18dc02ffcef6aadf45f19c0ab7a15e114"},"sample_id":"sha256:ea16edd6faffdf85c7912b09b111a79a03dc3e5f4f9b998ef03c5f59aea173de","source_transition_ids":["sha256:d484a08094b3d8fa31682f55e393ca3b1f07d4aaabc2fe6457ec55a18e58a1e8","sha256:b83e27109614133a6a7d1664f7940b544b5127dcb2c06c3e6fefe10e73db29f1"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:60008293a6b99272a9cde7ee63f6389c5e9d3b6d5abe78533181d82ebb6d8fbd","candidate_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5b37e0608fa4d86b616ded15ff0b9a01dcc78ae5612f91173c4ca9ae46d525cd"},"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":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -6, 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_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:d9639c891f0552b79526075731449a5a7ca930eac71a0453cc91af40829d0ec6","rejected":{"artifact_digest":"sha256:35a53caa7b9e5c4d908f2fa30f47e986de3d6f85343e9d8ddece9d160918733d","candidate_id":"sha256:645d45b9579d327708244f0503423a8d219d59e0d7628f9db737782d3597f460","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":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"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 = (-5, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e02aa860047901e4fdd9bfd6c0e679bf1c557bf0453a8a8c0b3635c7d61ef91b"},"sample_id":"sha256:e36fbe5a7ca6c892e245869a405eeec2055b5c2f534c617b816bd966157ba9e9","source_transition_ids":["sha256:d484a08094b3d8fa31682f55e393ca3b1f07d4aaabc2fe6457ec55a18e58a1e8","sha256:ebc4316106f378ba3d6f5ac5a494e8c5a29347c586530c2b3a107c28fb911c28"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:60008293a6b99272a9cde7ee63f6389c5e9d3b6d5abe78533181d82ebb6d8fbd","candidate_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5b37e0608fa4d86b616ded15ff0b9a01dcc78ae5612f91173c4ca9ae46d525cd"},"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":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -6, 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_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":"sha256:36c4752d4c7feb77fa68bb86d55d7c4eb7387eab1ff174f30546883df4be6acd","rejected":{"artifact_digest":"sha256:7e131ee2e17206648804cbd93d4d21a3193982be3b24289ea14980cb09985cab","candidate_id":"sha256:d53d05aaa93605bb2d64fb7310f5cb0631f3604f123681d0e74f25c39741e811","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 = (-5, -6, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5ed54891a5f0fd05251d1b034c9804541f318c3c2eade25b78b6f0852f84ac34"},"sample_id":"sha256:1becc5a0e40d5b93199cc6175b18dbecb9af0481f09d8d09cd953e5ce1171119","source_transition_ids":["sha256:d484a08094b3d8fa31682f55e393ca3b1f07d4aaabc2fe6457ec55a18e58a1e8","sha256:b9a7da95e3d074ac221b4a02b13a9db0801bc4e20c4072ac8be2a088feb621bd"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:92a25d405e62c135c71c9011be96d26f19066f0c76fa3c5bccb16a155356f699","candidate_id":"sha256:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","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, -6, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:24c3be6bcac27f9e78e3fba8b35bd077c5cc7dbe0be5e189c8cf744d779931ac"},"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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e8a7ec05046824b54bb98a569a126efffcf4d7762b0b3ed9491b63b7c0d4a5d1","rejected":{"artifact_digest":"sha256:e8a34731e2c26e9167459f6baa2ca412cbc4eb002c53ec028bb9b08f2789ff16","candidate_id":"sha256:172e3be9818ed129c936c1514f848a2443fd3cf73fa23ca56c1bd4744a932f55","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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"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, -1, -5, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:26fa8ff87e2992fdd1ee1075d1c09f41405b3943011107ca926acff31fb437a2"},"sample_id":"sha256:124f7718c9d14ce4525cab4cab657419b71586c4da4604e28528e8a54200bdef","source_transition_ids":["sha256:fec7b14c935169d697340ee757feee796342860d04671e585ad3afd80d1a7613","sha256:b85e00f788b4fc06b2dd79c185eeefdea8d9546cee965dcfc482d0b6e23f5387"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:92a25d405e62c135c71c9011be96d26f19066f0c76fa3c5bccb16a155356f699","candidate_id":"sha256:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","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, -6, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:24c3be6bcac27f9e78e3fba8b35bd077c5cc7dbe0be5e189c8cf744d779931ac"},"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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:101079c345842f1e846cf7ebdb1cdf2e2959a37149bdf0b7bc84d300b0ef868f","rejected":{"artifact_digest":"sha256:e8171c16049e14a8492ac44119b2ad2a3aab63d31f7f7854daabcad91956ba1f","candidate_id":"sha256:e4a9e6c5426dff7297d1997f66d92321678642cd3ebbcccff70c0822614cc2ef","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 = (5, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:45a37167b1ce508ef3843264db9861693d705e571d8c9f9b7433695295b40d3f"},"sample_id":"sha256:53f944069d44467034384814a11704f1d3ec0f5275b65a504e927c15f6d759d1","source_transition_ids":["sha256:fec7b14c935169d697340ee757feee796342860d04671e585ad3afd80d1a7613","sha256:7e8966e8fbac8f9493321783630996437ac4b5548067390e5471762241ca26bc"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:92a25d405e62c135c71c9011be96d26f19066f0c76fa3c5bccb16a155356f699","candidate_id":"sha256:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","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, -6, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:24c3be6bcac27f9e78e3fba8b35bd077c5cc7dbe0be5e189c8cf744d779931ac"},"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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:674c7fa77923835870c8bf6f2cbf734cd5bb0dbaa3bd0bd22a9d490d65fe47de","rejected":{"artifact_digest":"sha256:8c3546ab5ce30f3981c94a32986c586ecb604f13346fcc795afce0bfe725983f","candidate_id":"sha256:6f2d0f27d8b1ec13b14a0d462fd91c7cffd467960633b6fe0f60e14d8bafb126","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"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, -6, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5148cfab5152c96baf4da0e4133c38fa26a1a41d0ee8835c3acad89161589a0f"},"sample_id":"sha256:ff73e324703b8c06783a6dfe2a92950ff1e0b66c7e4dd6ed8ad2911b7694f3aa","source_transition_ids":["sha256:fec7b14c935169d697340ee757feee796342860d04671e585ad3afd80d1a7613","sha256:8d794b1441bec7b37b807f96e17f4a76189d28a6611ee31c862e37b881c99dc6"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:92a25d405e62c135c71c9011be96d26f19066f0c76fa3c5bccb16a155356f699","candidate_id":"sha256:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","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, -6, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:24c3be6bcac27f9e78e3fba8b35bd077c5cc7dbe0be5e189c8cf744d779931ac"},"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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3201edd8ee26a28db8b11ecaed7ac30f3cc15eb0891a9edbdd1fa8aee42ffbb4","rejected":{"artifact_digest":"sha256:cb4e081c940482eff3fc9a61c0b6e24d5bf017c82b685ff0ad946ce786a693c8","candidate_id":"sha256:821f386958702fda08a64d8d2ef99e6f240ae204fa5967820fb9e3957c1aab77","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, 2, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b83c2c461d253fa56e74dec10dcf0eb1f59a018046df590d73204cff3737504d"},"sample_id":"sha256:3ed3099594b6b83a03e5643d0d490129dd80f5a09b3938a59c312422e67fb464","source_transition_ids":["sha256:fec7b14c935169d697340ee757feee796342860d04671e585ad3afd80d1a7613","sha256:003b02b9458ecd9b20673d8e16a9d671e96bc0ad304bd5982fc9be8db22f0932"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:09e932f782b0d874d46e458560d434dc3faabcb35f1074406ffb5b23f8fa1f1e","candidate_id":"sha256:58d3b4457c02c0432df4f4c04ef7ed410fe3258407919f336139e8e0e39dad1b","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, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:545ec507a6fd8c01a8b713a64e762f655f1a256bf6b010be81cc5bb65df149ef"},"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:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -2, -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":"sha256:5b56ec8227401c83d2cee7b7bcad87ac3984dcac6b39e63938da6663818ce16d","rejected":{"artifact_digest":"sha256:149eba0751d1c7eaf8933959578862c2d516da2c8969a3bc79972a1cd207c976","candidate_id":"sha256:06ef98f3830085a34ae0088c5f949856f895ece033bb8c51602be0e302c5abf4","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 = (6, -4, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dfc2e79ac91668a70e86fe381661d50e67e48df11fafdef5e9d8d1a7161aae33"},"sample_id":"sha256:2f7ba68b7d3e5e02e9ea6cf0bc4ead1108bcdaf22450fd4b4a5401ed64929c8e","source_transition_ids":["sha256:343a9b8803096c91b852225d720508c43047bc708f70752c32f80384ccc46819","sha256:84e4423b38f979fc6eeb80d99895756968029dff29b0749d007361e8a3de4f73"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:09e932f782b0d874d46e458560d434dc3faabcb35f1074406ffb5b23f8fa1f1e","candidate_id":"sha256:58d3b4457c02c0432df4f4c04ef7ed410fe3258407919f336139e8e0e39dad1b","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, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:545ec507a6fd8c01a8b713a64e762f655f1a256bf6b010be81cc5bb65df149ef"},"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:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -2, -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":"sha256:9fcb9a47605dc5cb45e58b71fe78aa79d4b4b7a155e0bf8d29c83c9b7d01d852","rejected":{"artifact_digest":"sha256:02b07bd6ac604d3fea35fb6d6d4b4166fba00068ddca894810f529ce6add0e1c","candidate_id":"sha256:76c4c808e9a270613d9d3a071d4db50175c22550225d009593a40f0cba0b05ff","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"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 = (6, -6, -1, -2, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:3dcc2bb6c04ed7714f7c813054a09ccfff31c8764e2849ae01b2f98f3833da3f"},"sample_id":"sha256:27ae9141ad9c0ac5fec28e783a4cf3d5455cec628ef11ec7e2e8b861da775081","source_transition_ids":["sha256:343a9b8803096c91b852225d720508c43047bc708f70752c32f80384ccc46819","sha256:590c0d0b48785f3321ee8e396f25e7991172d4c60f46d4a4ee98f52685bef98e"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:09e932f782b0d874d46e458560d434dc3faabcb35f1074406ffb5b23f8fa1f1e","candidate_id":"sha256:58d3b4457c02c0432df4f4c04ef7ed410fe3258407919f336139e8e0e39dad1b","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, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:545ec507a6fd8c01a8b713a64e762f655f1a256bf6b010be81cc5bb65df149ef"},"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:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -2, -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":"sha256:1c71988e2bfcc436d24ec2d2d03cfcc374f5f9f86941df766b023ef578f1d828","rejected":{"artifact_digest":"sha256:1c6fd52ee0d11a9dfdf77cb6ed9b9301c876431dca6c792c9d917edb6480151c","candidate_id":"sha256:16ad7c3b92e5d9c0cd2d46ff460a2bf5f4fae1a72a198f0fe902aa8bf7655c4d","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"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, 2, -1, -2, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:3a06a5a93ac5451b03e1fa03758b22779cfadc46d19864965cdbf3bfcaed3825"},"sample_id":"sha256:e0606df90e85ac41eb91f651aeb040b4e547f6a1f0cb5e1d239470a189363230","source_transition_ids":["sha256:343a9b8803096c91b852225d720508c43047bc708f70752c32f80384ccc46819","sha256:6dee4a3468b693bf53a633980ce6e88e986ad2629a327963d9810b1577583208"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3cfb8feb579b09635d1c9c8f69e99d8f5cb7727f1860902b856565ae00785b73","candidate_id":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","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, 3, 15, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:567d71a354ecdcf25ff2247546bdcf7d8d6cedb2850a7760d172f8347e7d4197"},"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:b112fcdc8f1da137256283402ae504d2b7f571fd553482ebc5230ff48a295f1f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 14, 15, 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_003\", \"xor_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:c8a933c5818713bf050d14652b858b6608e05d33b161f7396497e1e9eed34d5b","rejected":{"artifact_digest":"sha256:9fb8e47d1fa8f888184c363a3790fa3f2ee3ba5dfad500bbc1806f536e10b42d","candidate_id":"sha256:3edd1e603a1392b842eda733668140ae64c511de1fa12777073901a1466aa9d6","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 = (13, 1, 15, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:341b1ee40870f42a117c4a6fd44893b48f3402b8287e3839e676992a3f55c6d7"},"sample_id":"sha256:36f9ed2679c4399b633e0dea4a58374809690c1a276f9f9af2235a04cd133ca0","source_transition_ids":["sha256:1e5728205793f13f9c4aa35eee2c6c00b997286aa87e6caaca97aa3bbfd84623","sha256:5feb1ff77e055302b70d4e0f98fc856e9e222cfe1b303dd2636094ce44789e12"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3cfb8feb579b09635d1c9c8f69e99d8f5cb7727f1860902b856565ae00785b73","candidate_id":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","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, 3, 15, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:567d71a354ecdcf25ff2247546bdcf7d8d6cedb2850a7760d172f8347e7d4197"},"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:b112fcdc8f1da137256283402ae504d2b7f571fd553482ebc5230ff48a295f1f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 14, 15, 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_003\", \"xor_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":"sha256:129e2349a0ffffad98a575e774e31905a776005458d597bd565566f4368dda75","rejected":{"artifact_digest":"sha256:43417428b4cafa30aa0d564661e9c8a73bcbb87aa5cd8c503a3e2a2a4ebf1cd4","candidate_id":"sha256:f560acae43257e3b073f1281ac17dcfc8740d5e7c9702d915cf1371236a32645","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 = (13, 14, 15, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:92da24a4714ea9df21c1a5a67dbf357aae573f076c9fd154fc125de449360e46"},"sample_id":"sha256:c9feb985819cfcc09301af5563ca3af1e58b73faaa38b59f1d012480aa838cea","source_transition_ids":["sha256:1e5728205793f13f9c4aa35eee2c6c00b997286aa87e6caaca97aa3bbfd84623","sha256:7840366e63cb948d97811a44df77f6908b7d9879b8696b96e2b757c1847068a5"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3cfb8feb579b09635d1c9c8f69e99d8f5cb7727f1860902b856565ae00785b73","candidate_id":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","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, 3, 15, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:567d71a354ecdcf25ff2247546bdcf7d8d6cedb2850a7760d172f8347e7d4197"},"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:b112fcdc8f1da137256283402ae504d2b7f571fd553482ebc5230ff48a295f1f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 14, 15, 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_003\", \"xor_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":"sha256:094e0561a7a5af673830f70e252f9c88c61a5f3d1c3a7296253b9e68a4a06fc2","rejected":{"artifact_digest":"sha256:f9026163a8e15af51427d5366cccbcf4652e6369b161fd5d6f61b42328cb290d","candidate_id":"sha256:efca1ba147b30ce0aad249b20b0b1804500e2221a44bd78f0a511e251a5d28ca","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 = (13, 3, 15, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d8847c75556639a2cda5503d9de853480ded825457c237d97ef61ebcd905ab70"},"sample_id":"sha256:2203758e0b20f06e219cff4b71f7013d8be11a13492e97c666b3fb7ef5cbe62e","source_transition_ids":["sha256:1e5728205793f13f9c4aa35eee2c6c00b997286aa87e6caaca97aa3bbfd84623","sha256:d36750c265084eb2834535d8e97b25d8902be97ed41b2b081babf21f9dc89153"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3cfb8feb579b09635d1c9c8f69e99d8f5cb7727f1860902b856565ae00785b73","candidate_id":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","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, 3, 15, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:567d71a354ecdcf25ff2247546bdcf7d8d6cedb2850a7760d172f8347e7d4197"},"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:b112fcdc8f1da137256283402ae504d2b7f571fd553482ebc5230ff48a295f1f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 14, 15, 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_003\", \"xor_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":"sha256:8316a9bfd84c391562a126a0a23e532a31f3a6e4d1e493a1971f2d50747ac0b9","rejected":{"artifact_digest":"sha256:36c2319bea853940a69919c1f1927e82bacd00956050e6e5eb371207b1762424","candidate_id":"sha256:0e2476207df669845e390f549852e65cc92b936a37c538928d086bf69880da37","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, 3, 7, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:35b7766d7dc8162a0e8eb3606db871dea8bbd063adca26240ab3211bb3f41440"},"sample_id":"sha256:bdb0987ada2498b28c69eff359df6a6336c90c88f0237df4623d222e5cff5c4a","source_transition_ids":["sha256:1e5728205793f13f9c4aa35eee2c6c00b997286aa87e6caaca97aa3bbfd84623","sha256:421b6a816d3a13e327086ba16f142cc8c55453f74215c81bda74db505f5574fc"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:85778bfdf833303f9204baace6455ebe336a427ef274e87f112606074a7b1f55","candidate_id":"sha256:b8fe8af995841297684e0489ed78b330ce34a7f75d520f772799d2578a76012c","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, 3, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2511984f2459ab0522d2ca8de958403c5112bd8e2bf8742a1bea5a5e17a168c0"},"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":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 3, 15, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:867eda24626b6ff3d21a892867ab81f9aece9a7ea55776ba6772256d340410e1","rejected":{"artifact_digest":"sha256:f52fb129e446735e1a343b6546c98366caa17917a1fea68104e48c1827434465","candidate_id":"sha256:d6c82c24b9c907780d73438abcca69915a4e4ecdc59adc3b3e6a5b2e4d1724c1","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 = (13, 3, 12, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e57cef9078ea23e5708f232a382bb6fe9b7874a5779e3d341a6cc4b97c5f031c"},"sample_id":"sha256:1cfcf060c7e5ef08be94f5ba4ae31e096d1986520241c9afbc0009b27fb21175","source_transition_ids":["sha256:317a0a4077b5eddc28b8e2c4308cdf16f3f10be6cce6d7f2d888e3eb206d684b","sha256:c1011a13ca7fe4ad8eb1d3ad5df0895d7f901f87c04e4fea679ff3034923061f"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:85778bfdf833303f9204baace6455ebe336a427ef274e87f112606074a7b1f55","candidate_id":"sha256:b8fe8af995841297684e0489ed78b330ce34a7f75d520f772799d2578a76012c","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, 3, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2511984f2459ab0522d2ca8de958403c5112bd8e2bf8742a1bea5a5e17a168c0"},"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":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 3, 15, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0e2c7d6e373e143076cc022832ee98731ebe894efc58f531cba74c60aa3a4dfc","rejected":{"artifact_digest":"sha256:fbfbce54d954705d4980441bdf799a659f5c3f31ba0301fb01052aee0cf7dc23","candidate_id":"sha256:fe8bb64daaf0d68e1dd94cfe4c89bdd96bfdc195c30b6447c803a7fa8bf52ab4","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 = (13, 3, 15, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ffc202822f6c9304fa1874461b20d9d452e252c6eccd6c417df5e9edbc8efa57"},"sample_id":"sha256:247e57fdb7174a818547dd4ca4eb51eb0c2ecd6c4b061f98a8879bbf4b63ad14","source_transition_ids":["sha256:317a0a4077b5eddc28b8e2c4308cdf16f3f10be6cce6d7f2d888e3eb206d684b","sha256:7178f52feed71a0f6651dafdca7f1dd024b41f39f8bd187051c559d1eeac8ace"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:85778bfdf833303f9204baace6455ebe336a427ef274e87f112606074a7b1f55","candidate_id":"sha256:b8fe8af995841297684e0489ed78b330ce34a7f75d520f772799d2578a76012c","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, 3, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2511984f2459ab0522d2ca8de958403c5112bd8e2bf8742a1bea5a5e17a168c0"},"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":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 3, 15, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:74630cb85b5e2dfa150bb33cbc4728ff3f344089d3270dec2364a2421126e750","rejected":{"artifact_digest":"sha256:b1f589d758f007ce6df24f398c4ff0ec70763eb0d99c5c856d87a5d766e7e547","candidate_id":"sha256:7dafb79cb6f192bcafcfabc54e4e96aaaf4c47a07eb7819ef8c432b909c9bb3d","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 = (13, 3, 7, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:743a26fcc0e7de10a6a8ab8f776254751de20afa37d7f1159f8573e6719cc311"},"sample_id":"sha256:338a7b91897e984f116a58bc678505ad3c7bdf4b02a72003b11579fc284df2b3","source_transition_ids":["sha256:317a0a4077b5eddc28b8e2c4308cdf16f3f10be6cce6d7f2d888e3eb206d684b","sha256:2786fc63bb89b07a45d23a63c9a4769dab92d4d81a342c8cdf3c262a77b908f3"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:af6092b2b783ad514621a9132c30d3d8fd70964f66490802367aa3922ccc569b","candidate_id":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","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 = (-7, -3, 8, 0, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4a934557330f66c007a403682f0ec5f0ba9ac35736e10d3a97b8383bc801e8d2"},"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:f0623d843b492d2198abb3a8f29d3e77d76d893e6161c9b3ba8864c3982e18e3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, -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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c1b33502d5bf8220b4a5e24c1a2c63f975d4094d37297a3ed08e1f64efb015e6","rejected":{"artifact_digest":"sha256:a5426b6b4e94df0ff3ae4ff9a1f8db7b15a18a3760559e553c1bd22803d970dd","candidate_id":"sha256:face39e701ce1e09a79b820de77082fd28df183558739c6f6b3bfa6ae33be115","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 = (-7, -3, 8, 0, -1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d8f918e8a54f5bb054e694a6770d94c79b69664dc760d0e93403994c2d1a1032"},"sample_id":"sha256:d6275c69468e2166a520a716901d6165d4b2eac396b1223a3d7ceefbab4952cf","source_transition_ids":["sha256:035275f760a7671dc1799e908784a2777e69a0c153d16276205c73f8388b6611","sha256:3c625f0ac222f64930d95dd3e4eb8c2fd608ccbf5a054fcf7fa59c91aee2aa09"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:af6092b2b783ad514621a9132c30d3d8fd70964f66490802367aa3922ccc569b","candidate_id":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","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 = (-7, -3, 8, 0, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4a934557330f66c007a403682f0ec5f0ba9ac35736e10d3a97b8383bc801e8d2"},"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:f0623d843b492d2198abb3a8f29d3e77d76d893e6161c9b3ba8864c3982e18e3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, -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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b55eb37b877f2ca76abf599a414b3521d4fb9d2e988ad495b93a4a8e3fdbed28","rejected":{"artifact_digest":"sha256:94f255733fee1637c74e8919ef798f449d6b06ae9f5a81d300e7780e63082ab8","candidate_id":"sha256:8dc3a46cf2193be5a4594eaba8e2a1d74813e3065246598122bebeac00206374","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"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 = (-7, -3, 1, 0, -1, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:fa551bf406a9f722a00fe1e615f9d69e3b3ed129950b6148ba0ffbac5b050997"},"sample_id":"sha256:1d0505590f06c167bb2bd19b00f7a8bab29ebe63560e4d2df055fa3e17eeb0e4","source_transition_ids":["sha256:035275f760a7671dc1799e908784a2777e69a0c153d16276205c73f8388b6611","sha256:54f7645a7adc2165648dd80c40a7e6f97cc5d59c47886be29831fe4282ccd806"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:af6092b2b783ad514621a9132c30d3d8fd70964f66490802367aa3922ccc569b","candidate_id":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","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 = (-7, -3, 8, 0, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4a934557330f66c007a403682f0ec5f0ba9ac35736e10d3a97b8383bc801e8d2"},"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:f0623d843b492d2198abb3a8f29d3e77d76d893e6161c9b3ba8864c3982e18e3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, -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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:34b5ce612401d05d9225b439b47d0e203ce3aa64e6b9fb3e991743e63e2a4c42","rejected":{"artifact_digest":"sha256:ce018242a8399c40b9c9cffc3630d0328c7ec3ea7dd2f597a3f50be11d43e201","candidate_id":"sha256:368e4079654d5783dbdece485924e3e40e0900f7cf25916e679d632e34270288","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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 = (-7, -3, -5, 0, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:9b95f98883648e7680e8a3df03deb437d5fc3f8cab6b6b802fbcdcb21d340ab5"},"sample_id":"sha256:3074fb0e2e15e81bf0a94387d6d626211dd97c37b58d4c41ff5346f11732fb47","source_transition_ids":["sha256:035275f760a7671dc1799e908784a2777e69a0c153d16276205c73f8388b6611","sha256:5dc8a1f6a63a44d99520319bc0bb244a3826d1989f0fc579426236c3b02a4dc2"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:af6092b2b783ad514621a9132c30d3d8fd70964f66490802367aa3922ccc569b","candidate_id":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","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 = (-7, -3, 8, 0, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4a934557330f66c007a403682f0ec5f0ba9ac35736e10d3a97b8383bc801e8d2"},"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:f0623d843b492d2198abb3a8f29d3e77d76d893e6161c9b3ba8864c3982e18e3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, -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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0a47ab1f9c2f6167bdb1ec7a1ce743e8d06b5ae1efd7fd4aead646ec12756025","rejected":{"artifact_digest":"sha256:9a1dda8696206187989520dce52c973b85dd6f84a34ffba40c3a324e225a4e98","candidate_id":"sha256:3f7bcdc73f6ba68f075d382b63266024b5fa774f5c73fc31327faad0aa880f62","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 = (-7, -3, -4, -7, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bd84776f32ecaa3812c1200ee4fe2329757499e751143f6e16adee22031e660b"},"sample_id":"sha256:d67114ac83b30f5d94c0742e956e914116955fa035d68502a9bc7a574e23ac75","source_transition_ids":["sha256:035275f760a7671dc1799e908784a2777e69a0c153d16276205c73f8388b6611","sha256:03cb2d6f1ffb7e8a931c9c9acfb3ac8c3a6ec4d294405660446c3b25e021c8f5"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:252fc99b6dc6e37750ec1504cf687f9be1bbdd7cc286ab0001d4203ca62f43e0","candidate_id":"sha256:f1d017f146a51f3d4ebc68acdf6b7ac369c3e2583d43a329eba3a98eaac8c7dd","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, -3, 8, -7, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e6c64de06abb6cff808dda2aee52193ae0dc47252c610ffa2b11c6da06ed0abc"},"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":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, 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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cc6d53ebcd671c8d7e7aba27bd7a99d6df0b234407cc0ed853a98b06f75607bf","rejected":{"artifact_digest":"sha256:9c5402bd20691d555d65f60f5f7f7c4dc5e27139d77171751fb141c046c18c5d","candidate_id":"sha256:f724b35c557bbda3bfb3582c679f3b10da4dbe806341ca9de67ca8f1874288d7","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 = (-7, -3, 8, 7, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:54f7d29483a23e29f430ef2c7b222a8c72a2eed6c6dbcce225f4c8d8f9726edc"},"sample_id":"sha256:e73a16be427f0a9614103a8c868803c17311735ba61cbeeb36aef18a072d2172","source_transition_ids":["sha256:d44d28f8ca89e884d18b25dc3145c6e41db6efbfedaa8521a15991917f211583","sha256:98e3acf9d24d16a804716c27df84838c3a0e76e83ea22cdad5735df3c0c0a797"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:252fc99b6dc6e37750ec1504cf687f9be1bbdd7cc286ab0001d4203ca62f43e0","candidate_id":"sha256:f1d017f146a51f3d4ebc68acdf6b7ac369c3e2583d43a329eba3a98eaac8c7dd","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, -3, 8, -7, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e6c64de06abb6cff808dda2aee52193ae0dc47252c610ffa2b11c6da06ed0abc"},"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":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, 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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fde7838a579149c69b107d92471116b8f61af30f708e07d830103aca3e4f8451","rejected":{"artifact_digest":"sha256:8302bd0ecec9f38e033bf342b50dcb7a2c2aa39b1a9baabdd78de0b83d32e478","candidate_id":"sha256:f0623d843b492d2198abb3a8f29d3e77d76d893e6161c9b3ba8864c3982e18e3","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"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, -3, 8, 0, -1, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d0fe3381792ca81edacdcebceb692482729bb04db71d9c02cf6daee73811c589"},"sample_id":"sha256:f5f61c0f267ba3f8e88b07b195183bb6b85c528028b438391c47b835cc237f74","source_transition_ids":["sha256:d44d28f8ca89e884d18b25dc3145c6e41db6efbfedaa8521a15991917f211583","sha256:99915abd50347ae5637c342bd79db922e322220308d3d71bc923bdbbe493f219"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:252fc99b6dc6e37750ec1504cf687f9be1bbdd7cc286ab0001d4203ca62f43e0","candidate_id":"sha256:f1d017f146a51f3d4ebc68acdf6b7ac369c3e2583d43a329eba3a98eaac8c7dd","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, -3, 8, -7, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e6c64de06abb6cff808dda2aee52193ae0dc47252c610ffa2b11c6da06ed0abc"},"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":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, 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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2e6964470b30bbf1803d4c4d55ba124f32d73b71c6fdf3ce67d638e6ffff869c","rejected":{"artifact_digest":"sha256:7a679737dff54576e6f6403d6de5409dcd551b2511c8df0a8901dadf246bf868","candidate_id":"sha256:902c17e4f9a75e4738e2d12b4b04f762f25f8e9af02a2c27597d9a6cb5f45c33","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, -3, 8, -7, -1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c6df06d625b42d0658fef3fe7f79b2a7511e70ba1ea25ca53dada97dd35e553d"},"sample_id":"sha256:d4ced5e4c223e8280e17ed9a8194cbc69cb55a8dd85007b1742f6b296592876c","source_transition_ids":["sha256:d44d28f8ca89e884d18b25dc3145c6e41db6efbfedaa8521a15991917f211583","sha256:8a3d72cf5ea0f85f6b99471a554c8c2bae9e4e36d99b57fcc8bd809dafd1587d"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6d948e3625872b5f304fc556a70859f1e74219847900ac6718c632beeaf461a7","candidate_id":"sha256:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","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 = (-5, 7, 6, -5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:961c9f5d61c0e6cb1a04b2096cfd3c670458750e2400fc9490ed8c52722bf831"},"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:dc48fb4f69401f33aa354bab25c7071abea0719c7fc436dd19719e0dccf95026","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 0, 6, -5, -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_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:f21e51d103f798116e8d7d95bc19325068e6cac47cfc11f5fcce0ba0bd4267cf","rejected":{"artifact_digest":"sha256:de87b62458636e20ec77dfe3ce3b2a7b0bedc187831707ca7623bf92dfae5dce","candidate_id":"sha256:c63ebd469771bda5e9bee528a2cbd266829758fe48aa57ec0337ba0cb0f22d26","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":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"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 = (-5, 1, 6, -5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:16b2ba6a6fed117e3029f0f5fd70daf864ea9e7bcedfaa3bd9256187c2012310"},"sample_id":"sha256:1fa458d55a57a7eaf8562a496dc6cfbd9b14644f7bf74088cc230e1919f1ed8a","source_transition_ids":["sha256:d033b11d834c98b0b7c8ffd1e1de5e9e421a71137dee6831fd2bcbd2470643c7","sha256:c856918a6f0d15b596f5d12bedf25ebce2edb782532f5641dccad77b3b7ae2fb"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6d948e3625872b5f304fc556a70859f1e74219847900ac6718c632beeaf461a7","candidate_id":"sha256:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","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 = (-5, 7, 6, -5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:961c9f5d61c0e6cb1a04b2096cfd3c670458750e2400fc9490ed8c52722bf831"},"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:dc48fb4f69401f33aa354bab25c7071abea0719c7fc436dd19719e0dccf95026","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 0, 6, -5, -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_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:ba8c84c149815805d3bc6789625176d4f7a20391b676228fb0dd6ef7fd675f21","rejected":{"artifact_digest":"sha256:1b82203aa6a3312f59122c26f4f3e5f5b5fe101bb0e0667f77d9f5de8e48b98a","candidate_id":"sha256:a1b05f20f90f797b7d0fcc91bee52ee0222450aad38930682ab1ec33dc5242bf","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 = (-4, 0, 6, -5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dbf69ef70b03f9c67153bb88629a8260a95103a982640581939eb9775b100038"},"sample_id":"sha256:3d95bb8d45c95e2b96e654c3c13ce81d2f636fca3d7240cffc273dc948626115","source_transition_ids":["sha256:d033b11d834c98b0b7c8ffd1e1de5e9e421a71137dee6831fd2bcbd2470643c7","sha256:98abde47523f13015b4bcf028d684055384ceb8893c48e906b4be14934824149"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6d948e3625872b5f304fc556a70859f1e74219847900ac6718c632beeaf461a7","candidate_id":"sha256:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","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 = (-5, 7, 6, -5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:961c9f5d61c0e6cb1a04b2096cfd3c670458750e2400fc9490ed8c52722bf831"},"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:dc48fb4f69401f33aa354bab25c7071abea0719c7fc436dd19719e0dccf95026","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 0, 6, -5, -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_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:eeb58632caa56ae16c08006fad58fbd3866d64a050c916f23ddff8f09206f146","rejected":{"artifact_digest":"sha256:d002b9a3b05e6ce454264ca521e0bbeaa966ba1788ca057d443b7dd23da5655f","candidate_id":"sha256:805d0eb4dbc5f49ebcf482419bdcacb747a83a04adf099f06aab14fb974a5ca6","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"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, 7, 6, -5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0d5028f7ccb68f51d52c6a7761d7245f6457933e31095aba8205a1781152cdbc"},"sample_id":"sha256:7fcaede7d43cb4286bb78827e17a837fb1fbbbaeafcadefe1921c4312a58296a","source_transition_ids":["sha256:d033b11d834c98b0b7c8ffd1e1de5e9e421a71137dee6831fd2bcbd2470643c7","sha256:7bcd90b5611e745d690501f247f2c67147379160f352df4634957975c87cab0a"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6d948e3625872b5f304fc556a70859f1e74219847900ac6718c632beeaf461a7","candidate_id":"sha256:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","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 = (-5, 7, 6, -5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:961c9f5d61c0e6cb1a04b2096cfd3c670458750e2400fc9490ed8c52722bf831"},"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:dc48fb4f69401f33aa354bab25c7071abea0719c7fc436dd19719e0dccf95026","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 0, 6, -5, -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_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:c9c0f2db469da744a6ff90540d6852cbfdf7725c742a4676b00355377a97ce3c","rejected":{"artifact_digest":"sha256:701877e9577ee9788bffe7f13c0e25bf65ad47420d077bc9dfbf116f461ff79e","candidate_id":"sha256:2eaf70fcc9ee62d0ae31d76d727d17f779c8bf58382aed76a2fd83857e12f2ca","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"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 = (-4, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8a37658ed9facf4edf68fe54070e86884e35881d00ae998536744facbfbdcc9c"},"sample_id":"sha256:ea183cdaaa8f63117814970883e5c1f734df8dba51eca6d24bfe3e51e5555218","source_transition_ids":["sha256:d033b11d834c98b0b7c8ffd1e1de5e9e421a71137dee6831fd2bcbd2470643c7","sha256:f286f355c500777c7c63cf79c072887ad4113fd94ff4946349241d976e8cd24e"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c57cbc23e3f6a979fda12d71996fd5f99a5ad396cf9186cf444e5c0a5c1b32c8","candidate_id":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","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 = (-5, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4872aa40fbabf2d653dec20150ca449eb1f1fd78e68da7cc8bc0c08d765d5cf7"},"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:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, -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_009\", \"quadratic_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":"sha256:8dc55fdfd96d656d0aab640a938014103cfbe387244a35a6949db37ed780494e","rejected":{"artifact_digest":"sha256:62c3544d193de221f4dabcc6d722187dffea33ddac90917f2672aa710d3a2add","candidate_id":"sha256:d99516fdcbfd5645086f4f9e298f40a5cc974062ba02e521c52570a0d5b10306","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"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 = (-5, 7, 6, 1, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:adcf55804921c3b6af00acaba4ca9c3afa485b79a768ffc77654eea73fcba82a"},"sample_id":"sha256:0e751f6b8ae1b27aeee6cc1d28cb4a08e6e67e859a2b1235073ff769f29a769a","source_transition_ids":["sha256:746804f0e0b2bfa253d8118cfa69ead740c67c615e1b63fda46ea86caf547d10","sha256:fe2ee48983f48421f2202057e83d5f6b8956182b3640ee4797f960dfd71e2105"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c57cbc23e3f6a979fda12d71996fd5f99a5ad396cf9186cf444e5c0a5c1b32c8","candidate_id":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","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 = (-5, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4872aa40fbabf2d653dec20150ca449eb1f1fd78e68da7cc8bc0c08d765d5cf7"},"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:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, -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_009\", \"quadratic_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":"sha256:6ed6f28e7a6fc6e312ace624d3c09a64370701c6921060ec0a605573c3a3d0f1","rejected":{"artifact_digest":"sha256:483f60bd8facf31af51d9e65851302508533627d2601254aa2239505c25efb60","candidate_id":"sha256:b38f8eeb63ee505db5e40ebea8254b079359f747859bacba4ee0e691f6a50b06","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 = (-6, 7, 6, -5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:78bc8864273b8fe71a50dccdd45f676f459137843437402dceeb1a6035549278"},"sample_id":"sha256:d9e42d9b45413640fe652e98502569288e5e7bd16ac6431ff3c6faafbce95af2","source_transition_ids":["sha256:746804f0e0b2bfa253d8118cfa69ead740c67c615e1b63fda46ea86caf547d10","sha256:82b32684c8f6b5936bb605cb6e6e7f9ed0255a1b0c3fc3a6160d72699f28323c"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c57cbc23e3f6a979fda12d71996fd5f99a5ad396cf9186cf444e5c0a5c1b32c8","candidate_id":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","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 = (-5, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4872aa40fbabf2d653dec20150ca449eb1f1fd78e68da7cc8bc0c08d765d5cf7"},"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:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, -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_009\", \"quadratic_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":"sha256:431f07d0a49c32ab11bf2f4638026d1972b0ef2bc3b771c4c1c2285be5cc7c48","rejected":{"artifact_digest":"sha256:fdac087601eeae445f4dc2be28f86cc99acee51ffa241714f2fbcdc55737b331","candidate_id":"sha256:9a47977901a57da8fd92a7718d0d7321fe4d37464795592f16bc654b9243a4a4","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 = (-7, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2d5b80ab1e86359a72321648b76e4ac5c88ca92d1fb621a5d4bf3854bad7f2e4"},"sample_id":"sha256:2a8a4b5d2f861a1f0542aa101f14eac8b046f11034c483290e1daafaa68e359e","source_transition_ids":["sha256:746804f0e0b2bfa253d8118cfa69ead740c67c615e1b63fda46ea86caf547d10","sha256:979f46825a802be958a0f1aafa74031fbcff420624843e4fc69700d71d9f1b22"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c57cbc23e3f6a979fda12d71996fd5f99a5ad396cf9186cf444e5c0a5c1b32c8","candidate_id":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","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 = (-5, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4872aa40fbabf2d653dec20150ca449eb1f1fd78e68da7cc8bc0c08d765d5cf7"},"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:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, -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_009\", \"quadratic_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":"sha256:12f35198113c2b84e19111653d9f2160fd705fb52b50acdf3efc72850a38c963","rejected":{"artifact_digest":"sha256:335056083309090d3d1060b9dc643b6499e11c71ebb33962c829ae0736a16cfc","candidate_id":"sha256:27e864ed2d9ab3cabe4207e701f9c8a4341e3c3813ca1be54b19fa1dbe914ce9","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 = (3, 7, 6, 3, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c47ac6a7919da472a4136a825794790695cc456e415025f7e832226c7f37f23c"},"sample_id":"sha256:0ab31bedeaf89e1234591709d40076ac06b3686129af2dd2627d8672bd48265e","source_transition_ids":["sha256:746804f0e0b2bfa253d8118cfa69ead740c67c615e1b63fda46ea86caf547d10","sha256:606cbd6dbbb1243f497927320f315e650da42c4e4f19c960837300c3ba9521c0"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:853ce620bef9a56edf118e347f87e26658b8b853624fa41a1a628a9b19dbc541","candidate_id":"sha256:a272fa63d39de407d84d60aabc09b7fcd076ebf38ad5c17600a6aec89346fc22","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, 7, 6, 3, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4059cf56dc10ea6fdc8749fbf0e0e390afa3845005b5c390af573dc37715268e"},"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":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, 3, -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":"sha256:42c4ebcc465ec6d13f3b62ce34ea55051132217419761330881368b78dfa77a3","rejected":{"artifact_digest":"sha256:04c89d3f64923f354c1a6a5a0f222f2d91d2b145292cbac3f07c6825d5d40eca","candidate_id":"sha256:05c4ace5ae0c71fc81dbb998ad35043f121ff8c0cc9b374525bf070aadde9fae","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 = (-5, 7, 6, 3, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c134638dbc64c2be19e8721991d8407378a7a93e8ae4b31953ac1150c7e753ba"},"sample_id":"sha256:4381e0885559d7ed18bbaa31e22f8e9fba57381223d2f1e11f5be3deff409585","source_transition_ids":["sha256:7a0b96f72931ae82f0935b5a84958bca314f9d3e76273875bd633d4337669637","sha256:7a1d2b70d5bc8c94682ab449ed91cf6c4ca766c56f84b22e9e1947b286baa153"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:853ce620bef9a56edf118e347f87e26658b8b853624fa41a1a628a9b19dbc541","candidate_id":"sha256:a272fa63d39de407d84d60aabc09b7fcd076ebf38ad5c17600a6aec89346fc22","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, 7, 6, 3, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4059cf56dc10ea6fdc8749fbf0e0e390afa3845005b5c390af573dc37715268e"},"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":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, 3, -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":"sha256:33f56dd99ea48b464b0c7d61a6d296145b845d18932a1163198134315d3d1b93","rejected":{"artifact_digest":"sha256:0c28a3874af75e3cb50cc5738b33abfd731cf86c6deab7d69a796d61cb0c9388","candidate_id":"sha256:52f4b7ac2c8bf84c6e18634679945151e21109d62bc54c0ebacc9ddccf83ad24","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, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:3d36aa592d7b2b6dd32975d4133c93ef07eaefe62fbc31c1261e6765acffc3a9"},"sample_id":"sha256:0288664497386a772ecfe2c6e4c9c8721a240f640ca5e56139ad35f97ecb0783","source_transition_ids":["sha256:7a0b96f72931ae82f0935b5a84958bca314f9d3e76273875bd633d4337669637","sha256:87fed84f4cc68aa7b576b8d381a8f30fd51cfd209163de9b308271b74ecf79ff"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:853ce620bef9a56edf118e347f87e26658b8b853624fa41a1a628a9b19dbc541","candidate_id":"sha256:a272fa63d39de407d84d60aabc09b7fcd076ebf38ad5c17600a6aec89346fc22","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, 7, 6, 3, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4059cf56dc10ea6fdc8749fbf0e0e390afa3845005b5c390af573dc37715268e"},"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":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, 3, -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":"sha256:5608d6fe6c8b57028a2a1c1933895414054d111c37f9af84ba08a745228fc2c0","rejected":{"artifact_digest":"sha256:44d47899d5345e67a490c7cc0ec6d5b78b01cf892de143567cecfce6e1f00b1d","candidate_id":"sha256:94627f8a69ee1170102ca3d313671b76ecd2809f394e2b29d1ba7681832683ab","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 = (1, 7, 6, 3, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:637d828d8591544cf52b0910dc8b2f48808fb06e7de3868265152d88da3133d5"},"sample_id":"sha256:c1ed0f5567a53b3c3896f508442f5f71b686bc4a5641bac31d5261725e5c2388","source_transition_ids":["sha256:7a0b96f72931ae82f0935b5a84958bca314f9d3e76273875bd633d4337669637","sha256:f72b41e40e4a6858092c5b127ab5efa569347d4b7d3d1e7ca23d451af83cba52"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b3c56b643ef36b93aad7a755388e7c282f437c44cba0fb7bdd337e1736d54d2d","candidate_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -1, -6, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:365af1d9f5c4cba0a652c43fe41b35ec3be35b126cb7505acbe615d59e833828"},"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":"sha256:4bd11845c996eb6e2e8c10c9ff0691864716d48b0ea1b8bfac37dd549e2a06a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, 5, 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_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":"sha256:4293881392ce080cc672d35be93f274ca7fecbb293303c5dfa1d79714614401d","rejected":{"artifact_digest":"sha256:67ded9edec8cae0497431dbca6343b8dc5b0c775947b1910b28615a65a488a3c","candidate_id":"sha256:d528db178939f205d27ddd0a19662aa04a0f91eb4593ccf2f076ebe26f0a322c","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"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, -1, -6, -7, -1, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:9c1e2adbb778efdd6a10a63bed1c49384477758a80bd4b56bf53ba7ab7576f85"},"sample_id":"sha256:5fe10b3b67d32ac5d0150076fc97249a7ac66a77e227e1f01d7d9f0d932947c5","source_transition_ids":["sha256:add3d9cc732059ab08105a9625028d86bddfa80e5b0e6aab200035830aa32fb3","sha256:794f3502ef7b6de51d18bd2180b32a1694b4147e233c17e2da602da744c1b2fb"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b3c56b643ef36b93aad7a755388e7c282f437c44cba0fb7bdd337e1736d54d2d","candidate_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -1, -6, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:365af1d9f5c4cba0a652c43fe41b35ec3be35b126cb7505acbe615d59e833828"},"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":"sha256:4bd11845c996eb6e2e8c10c9ff0691864716d48b0ea1b8bfac37dd549e2a06a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, 5, 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_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:fffc85c81d00b60c4803385de8d3fb1b5d8d538b1a444ae551023f9df2437e19","rejected":{"artifact_digest":"sha256:8957b90cfa69c43fcec169a03320606003589a9db2bf7840f5e80fdb106e6489","candidate_id":"sha256:f588869bd6845a9561b777a2852fa73af96017a0c96ba70d84626356685fc66b","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 = (-5, -1, -5, -7, 5, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d9845867bbd1eed784337bc10ae8c02f3b29f736d5a82db6429065478c0eb8e2"},"sample_id":"sha256:8b2a2f804c212072f1b836b2bdb0130231af7b1603794ce134b029ee2827a31b","source_transition_ids":["sha256:add3d9cc732059ab08105a9625028d86bddfa80e5b0e6aab200035830aa32fb3","sha256:f3b549ba5887223fcb549007451a0c0304767ac653d344c932a0e457fba9bd5c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b3c56b643ef36b93aad7a755388e7c282f437c44cba0fb7bdd337e1736d54d2d","candidate_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -1, -6, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:365af1d9f5c4cba0a652c43fe41b35ec3be35b126cb7505acbe615d59e833828"},"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":"sha256:4bd11845c996eb6e2e8c10c9ff0691864716d48b0ea1b8bfac37dd549e2a06a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, 5, 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_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:e6902d661e855734d4c808809d1a9142d9502a0647b38e901e716678f7b453e7","rejected":{"artifact_digest":"sha256:3fa2547d3e6c6363c73776512deb4df2098f74a3040a6663556137e39e37fd9e","candidate_id":"sha256:bd2defbb7debfbd551179766b174ee562b86acaa6b10a689a382a28e3c4efbc4","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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 = (-5, -1, 1, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:414c13fd0438155aa064c17a1e7c502a15a59d462cc949cf1cafa1b2c2ba7352"},"sample_id":"sha256:34a7613cb50163afbab920bc46fd4f0a6a7b3affaab9e836ad39f01728286ca9","source_transition_ids":["sha256:add3d9cc732059ab08105a9625028d86bddfa80e5b0e6aab200035830aa32fb3","sha256:6e1202e60b334d4bca26723f2b9d7437ad751b41ae9cbe18df42c47144e6a0dd"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b3c56b643ef36b93aad7a755388e7c282f437c44cba0fb7bdd337e1736d54d2d","candidate_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -1, -6, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:365af1d9f5c4cba0a652c43fe41b35ec3be35b126cb7505acbe615d59e833828"},"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":"sha256:4bd11845c996eb6e2e8c10c9ff0691864716d48b0ea1b8bfac37dd549e2a06a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, 5, 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_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":"sha256:3fc3a75ab993208a66f908ee5ceeac93375b8ce6381cb08ddeef9faae9e55c07","rejected":{"artifact_digest":"sha256:b2b9adbfcc3462d17c00ee4b7d5991273129136a6c8c19e24b50d08b56741576","candidate_id":"sha256:3715a8a15093bedd98d7a9beac3dcfee86de42fa07deb1bd11dc9ac4ca44a4fb","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 = (-5, -1, 6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:75a89e8a7ae1266144603e6e7a291949496a08c97992fb05599df7fd91bb4bc5"},"sample_id":"sha256:b09b1518597a1b4184cea7c0ca561831c19d5622893161a29c5cc008dec209d2","source_transition_ids":["sha256:add3d9cc732059ab08105a9625028d86bddfa80e5b0e6aab200035830aa32fb3","sha256:68c27079e863f375cc84617b329051f5f94515b184d094e5f1cf5390c1f9c210"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:accb68a8ddd8e31f1ee0711597cd08bc86377b10bc7ff2bced05b97efdf4defc","candidate_id":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","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, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:28c8c0187d60e852380bc57e029739eb94e70f3c9edfe420fa186d6478fe28af"},"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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, -2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:79357755d5895f08ee7ca788c9818c50be09dbed2da21f810c5f6dcec2ec78b1","rejected":{"artifact_digest":"sha256:349ca0c02d72be097da76b3df7ff4507f8d6880ae52c979b71c6d1a24cd70c4a","candidate_id":"sha256:46a3706ed465a414dd7941799aa99c6bd59e9152252259d3c0af4e8112737294","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"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 = (-5, -1, -6, -4, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ab07bf57300b634e48801bc34ea7b47a00638b63a2b76182d4aa846b12f85790"},"sample_id":"sha256:04fbaf2830ac1f9f64042997914177a7c7131aa49d18456037cc9be18babe5b1","source_transition_ids":["sha256:6d489e70b541caa9832c7bb1259bd7634d9d7e6286c0bd45180458927ab3d0a8","sha256:e6a50c3d2a0ccda685a4e29d4b17ee091dd4e67f297ec9e2c40f935f4fcec503"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:accb68a8ddd8e31f1ee0711597cd08bc86377b10bc7ff2bced05b97efdf4defc","candidate_id":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","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, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:28c8c0187d60e852380bc57e029739eb94e70f3c9edfe420fa186d6478fe28af"},"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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, -2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e2da07c51430d3ccfa75faf208222fbb6fda3cfbcb3cb75927d47d9686f16a70","rejected":{"artifact_digest":"sha256:61a21cdcce74cb10a368411b1a6797d09cf58dd32add3f4eac06ab928ef65ef8","candidate_id":"sha256:d956356d558881b8df29f619e6fe810a3459443b7cb7a93af96e3814cefc0b4d","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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, 4, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:862ca95bbd111f4b9853158df7cec091cdacd22ce7345f9a9f89ee31f7a1b827"},"sample_id":"sha256:9043a2ff3110676c100c0bcd28edc939078e6b62e31cb576efaa539416494f73","source_transition_ids":["sha256:6d489e70b541caa9832c7bb1259bd7634d9d7e6286c0bd45180458927ab3d0a8","sha256:699c6d3a337d3edef8fa8d7edaaff29b1134d4e17d19081637fb2da4799972e7"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:accb68a8ddd8e31f1ee0711597cd08bc86377b10bc7ff2bced05b97efdf4defc","candidate_id":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","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, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:28c8c0187d60e852380bc57e029739eb94e70f3c9edfe420fa186d6478fe28af"},"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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, -2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5cfde324c74e6780b7f8ef5169ad49afd8efb129eee1fb936c0d9f7acf944c17","rejected":{"artifact_digest":"sha256:f38b3ce6164b69425322d3eb882302289e42858c98d184e6ab646f2ff29a643f","candidate_id":"sha256:1b7d1553f2cc3368e7ab4bbf4a5271dab1d8c993e9e8ceb3d0ef3d6c057fea2b","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 = (-5, -1, -7, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1668837328d903220c1fa5a7461adc7a6586f57cdc5c9af84c8826e2c32464b3"},"sample_id":"sha256:05310ecc259cb0c3c97c98d21c081b4e19643ce30c1b955efd3ab56363e92e5c","source_transition_ids":["sha256:6d489e70b541caa9832c7bb1259bd7634d9d7e6286c0bd45180458927ab3d0a8","sha256:c8ec5b405f362cb935abcc1b0a9ae5985cc39b4f464942724c746ba20cbcbefa"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:accb68a8ddd8e31f1ee0711597cd08bc86377b10bc7ff2bced05b97efdf4defc","candidate_id":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","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, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:28c8c0187d60e852380bc57e029739eb94e70f3c9edfe420fa186d6478fe28af"},"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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, -2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dd8a728b4896f701e3dea5b59be817713a57e2615708732679cbe6e570e02c56","rejected":{"artifact_digest":"sha256:2159bf02341832af99bd979e0c3dfd04daa27e8d84acdcba69472fe412593f1a","candidate_id":"sha256:07597c1f754bad43703e7ba8005cd6c9806f6e0aaee19dc0cf96131b05cd44d6","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 = (1, -1, 1, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:275365ca48a8fd01ebfd215cc7bab575267896e6bff272ba02a71ff1b75c3faa"},"sample_id":"sha256:e876d6bab41351bd19e4d814e86fa9edea13e3624c5ea5737ce6934445387571","source_transition_ids":["sha256:6d489e70b541caa9832c7bb1259bd7634d9d7e6286c0bd45180458927ab3d0a8","sha256:c98b34fcc0eeeb3932be9bd8c81ad599a3889bb9a8303736ce7c50fcb0f42a59"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:fe43112e1b896a9244c0fa70f5559a44789add31d33830a690be7f23ce759587","candidate_id":"sha256:9250051ff773b2713083dc2802ce822956180446beb1eb112c7c4a0d0ca3258c","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, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5038bf8171ce81a7d512dd27fea41d165025bdb34fb81b2d929683b4a9112c2f"},"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":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -5, -2, 0)\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":"sha256:9688d873d3d46862f753dc765414139780f726224b75e9e2c296f73eedfb510c","rejected":{"artifact_digest":"sha256:22802b597db5e545ecf04252321ba6ab9bbea730217a816253432108729cc8ac","candidate_id":"sha256:8685ccccb6ea7d672045dd6bb1e7af2f0199fa311f01d9f1850d939459295718","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, -1, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:dde4e8854a787d3e6d09345707fa9a4bf3dc1206c5a27d7dd474c33b4c917c4e"},"sample_id":"sha256:4179b06c7df9aefe8015a1912b09f2d7ed64a9f9108d2a5deed1e8267ff5a618","source_transition_ids":["sha256:d956d3538e76d954f450f8523f6589c7aca7d34cc2c338be0f4558cf72d42070","sha256:67e8f189afe3509aff09c493a760b9d520bfec5a1c9bd3902c98128fb745240b"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:fe43112e1b896a9244c0fa70f5559a44789add31d33830a690be7f23ce759587","candidate_id":"sha256:9250051ff773b2713083dc2802ce822956180446beb1eb112c7c4a0d0ca3258c","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, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5038bf8171ce81a7d512dd27fea41d165025bdb34fb81b2d929683b4a9112c2f"},"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":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -5, -2, 0)\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:ba2eac3812f4cbdeec3c741720cdc2107ee47642a5787d4b399cd4f5132cb0ad","rejected":{"artifact_digest":"sha256:fb0ba32bb43b030db3c9d5bca7a60dd957e472b77b1055a5d87d8f5296f61f49","candidate_id":"sha256:2ac46ee567a5fdea3825d7ab205d54991c7a6614152816a879495d9da7f4f1e3","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"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, -1, -6, -5, -2, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:9a81eb0e519a5a94187fa2ee9f7fee9ffae6ecad4c47f1d7d4bdc575795a7779"},"sample_id":"sha256:694142f9242e076f04496951f0986dcb86fff231c969042cccd72afda7d548bd","source_transition_ids":["sha256:d956d3538e76d954f450f8523f6589c7aca7d34cc2c338be0f4558cf72d42070","sha256:976974d6b346601ee0016f0ba8f50d8e0543c12cea609db3b44b5f17ba96e0ac"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:fe43112e1b896a9244c0fa70f5559a44789add31d33830a690be7f23ce759587","candidate_id":"sha256:9250051ff773b2713083dc2802ce822956180446beb1eb112c7c4a0d0ca3258c","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, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5038bf8171ce81a7d512dd27fea41d165025bdb34fb81b2d929683b4a9112c2f"},"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":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -5, -2, 0)\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":"sha256:223a8354caafb433b40c9dbb01cac0ada2ffd2945f2b9c686e71aa48f561a705","rejected":{"artifact_digest":"sha256:01c32f56d69c60b7d58bdbc578f31399acc62f75414fbecab3036eb0d6dd25e2","candidate_id":"sha256:582834d981c7122dd17482efe619ad8eaa87b49a168772d8cfc94b0f3b378918","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 = (1, -1, -6, -5, -2, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3a4959988e226c7e7fc17cc60e09dc885db378912217dfca6c212ceebe8aec04"},"sample_id":"sha256:3761d1115616ed11413994c775902951d7d216de9a06557c6a21e4725ac11b5b","source_transition_ids":["sha256:d956d3538e76d954f450f8523f6589c7aca7d34cc2c338be0f4558cf72d42070","sha256:740aff36ddc58485dda64785bb77a0c17b4f13eedb36cce05382d40d41d19c8c"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1904545fbc04faae1b027a5fd6bcc78d1d624f8b07aec5cafb02f194dccbddff","candidate_id":"sha256:025c565dc4f5f4b6807a3c3e42c3465dcdc3c9387d19015a21a4566b0d2e1bf5","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 = (-7, 4, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a752766e1e6441c92c93b90c8c94c0b0b71a7e57f3d3e33c31ebeb4f3ffd2418"},"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":"sha256:263121b7a14378821a11690b13b298c5ec7949d66e4b81cb52bdd19092a2800f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 4, 4, -2, -7)\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":"sha256:47ae2e834a54330109fcb7b22fc89a0bf02af539f366355ca733d00533c7f882","rejected":{"artifact_digest":"sha256:1ebc731f58344a01a0bcf9a32dac96c616ca35ba3454dae256afb8434dd39539","candidate_id":"sha256:7dbfa46fd990cde858c86f9ea0b2a72b857f44a0073975f3b3ee15f47ce1734b","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 = (-7, 4, 4, -2, 1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2f8f7fd4342d3acac9414e120606b32b4060dbdcfece149b0073c2ae2967d0d7"},"sample_id":"sha256:90f1e0bd0389b82cb57075154a4b25348712f9a3b436c6b611a76f7a4fe339e4","source_transition_ids":["sha256:5d90cc48b61592dec8309453346fbec7b8e5a649fa800a20a6a5e2f8d6ec20a3","sha256:536e5f4c40e9738a55647e52971d865bbfbfc9107b173c6a324ef291622d3872"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0d705de79e60886a12fd616fb405913ad85265fe13e8923e822db4bc41beb710","candidate_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-7, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ab25682f89b6b4126fb5fe3f13cdb9e7af849825a7911e440ded05dbfea45dd6"},"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":"sha256:025c565dc4f5f4b6807a3c3e42c3465dcdc3c9387d19015a21a4566b0d2e1bf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 4, 4, -2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ec713db9a15f8568eeacf80ffd623c84aa669f057af7395f26709aaa19ad7aba","rejected":{"artifact_digest":"sha256:569f7f2da84ba77f4a359b5ba8407141cd57751dad73e77d3987f97169b82588","candidate_id":"sha256:11699b6c5d45b1c9edcfb4788210bad8e1f9e9e268d3d8578393cebc0a701724","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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-7, -3, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0f246ebf60b17082c162cb9e7049ab6810714faad3fe8b32b7ff49491e7cf07b"},"sample_id":"sha256:43d7a1332b5fa7613e816dbb8298e3b7c400774815b0dfdd3fdebc0bc1044fe5","source_transition_ids":["sha256:fb97632ec6dabccab95e783c35fd5d5621f7eb1993a9337b3e3acffcd574e1f3","sha256:f468d3f64340b3d995324172d1ea82ae00919a0cc2148e7650814c6c0a0a86c4"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0d705de79e60886a12fd616fb405913ad85265fe13e8923e822db4bc41beb710","candidate_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-7, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ab25682f89b6b4126fb5fe3f13cdb9e7af849825a7911e440ded05dbfea45dd6"},"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":"sha256:025c565dc4f5f4b6807a3c3e42c3465dcdc3c9387d19015a21a4566b0d2e1bf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 4, 4, -2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:61112fba6c0c9c591dcae2afa7ea82d169c3d67867bd0cce17252113209730ae","rejected":{"artifact_digest":"sha256:6cb47d6ea38bbd12fe71c4279e3853e37ab50c135c023fbb5f8e38bb0387489b","candidate_id":"sha256:b7baedb3d1522bfe0f93f4f3714aaf4b73e1c4facb61cc4c796604e5007ef618","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 = (-7, 4, 4, -2, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f29ffd2b8b36d62e31b90e07a549b638cc085e122b755a71c44d8c0849c9362a"},"sample_id":"sha256:fd93f37c2b64c05b65c57e3f7d5f9551f47515a87db83b4d472210a7a9a86192","source_transition_ids":["sha256:fb97632ec6dabccab95e783c35fd5d5621f7eb1993a9337b3e3acffcd574e1f3","sha256:5049fe014dd99114783a612a103116fe6d15a132939d10c944fee46ca8ad19f0"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0d705de79e60886a12fd616fb405913ad85265fe13e8923e822db4bc41beb710","candidate_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-7, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ab25682f89b6b4126fb5fe3f13cdb9e7af849825a7911e440ded05dbfea45dd6"},"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":"sha256:025c565dc4f5f4b6807a3c3e42c3465dcdc3c9387d19015a21a4566b0d2e1bf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 4, 4, -2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:529f1d18d165fa1e2e4eb88b840a0c2686a361476243d1bb41d71eaa5e068ace","rejected":{"artifact_digest":"sha256:4262b16c3561d2ae287ce2db42e021162c9fca4ab351530a3c36e4bc3c0fa349","candidate_id":"sha256:772f0ca14fb854a95daedb5703e7f0dbe7a39edba0ba60aee5c199a560c02610","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":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"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 = (-7, 1, 4, -2, 8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6c02a769acd1e7c74ebeed2d3219658f88b8deaa4fb21dfa7f329f43481348e0"},"sample_id":"sha256:0d4a3ab1fa7287c574e0f2cc3a7dc4102d17cf9cb0ae97805f3c15c48695f51e","source_transition_ids":["sha256:fb97632ec6dabccab95e783c35fd5d5621f7eb1993a9337b3e3acffcd574e1f3","sha256:068b2338de7ae956c38f189a09eebaac227926a74af8cbfdff584d2e12aeedfc"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:0d705de79e60886a12fd616fb405913ad85265fe13e8923e822db4bc41beb710","candidate_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-7, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ab25682f89b6b4126fb5fe3f13cdb9e7af849825a7911e440ded05dbfea45dd6"},"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":"sha256:025c565dc4f5f4b6807a3c3e42c3465dcdc3c9387d19015a21a4566b0d2e1bf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 4, 4, -2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6649629c0032f32409a42d3fd66d174a74a00c831864d3f7ebfc635277ff3df2","rejected":{"artifact_digest":"sha256:8926bd8d84907e7d585155028ac0af3bcdfa32970b238becb916accc3380eb11","candidate_id":"sha256:3ad4606e9985bf2048355b8975d4d088cf0cc79bbedb36610e79e7a5cf819825","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":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"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 = (-9, 1, 4, -2, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:18ef8e6bbf7ad894feaba8127e0d2b2de41d7c7f4370bdc93e51d3eae213e1fe"},"sample_id":"sha256:f836450e65a5207517d0e04dc7d777d08e954955a6b21a2c457c53c086ecf0f5","source_transition_ids":["sha256:fb97632ec6dabccab95e783c35fd5d5621f7eb1993a9337b3e3acffcd574e1f3","sha256:22cc35b3698a555c81785754e3acbc1e94d908978ae1953ae859011bc978e3a1"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1a214473648c8cc8c96e12cfc2cda308ce44b716696db78e9b43831515bc1867","candidate_id":"sha256:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:02c830b250212f250f38a6e7ad051b85c17a59d45415eaae75043987c0e86cf1"},"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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 1, 4, -2, 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_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\", \"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":"sha256:7d2fa4bb2ab80a0d205adc3cf9a74fe5423cc6252f773931217db45feb3bc18d","rejected":{"artifact_digest":"sha256:868b6593c31610f7b517f6aecbbe011505236cb0e04dd8ca483327a8edb91296","candidate_id":"sha256:9ddc1145c0bfdff32da9bf4f3a8eccdc2e7969536f80ea613c4b62c804e58d71","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"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 = (0, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:adec11de7d5c2ba8bb329b152102690070c9e75137e2e2a89c777dad0ab16e3d"},"sample_id":"sha256:af84624cf002b046a5906f2259e5b1e4e9db762eced48be7e5df70133b13474c","source_transition_ids":["sha256:ae56600b62444c6029193e01ca4fd15820ce4fed68fe2f4fedc29348a1264d6a","sha256:e15688248fc1524d2ab70073f8fc360568bef953f696dcf245365ffe006edb24"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1a214473648c8cc8c96e12cfc2cda308ce44b716696db78e9b43831515bc1867","candidate_id":"sha256:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:02c830b250212f250f38a6e7ad051b85c17a59d45415eaae75043987c0e86cf1"},"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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 1, 4, -2, 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_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\", \"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":"sha256:65ccad41b15a51fd55922e76bef8b2af4c63b08da41b4fcd1652f4e119424b02","rejected":{"artifact_digest":"sha256:8b94484a80011e11265005726dd518bf23d53257a775eb1d891af00a5092da43","candidate_id":"sha256:7342e2bc2cb5b26bae47aa277a1b543bb3b281268ad7ef142626db7d4f1dfefe","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 = (-7, 7, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:77cb4cc390349d521df5118f89e1b7f5e27a5b35394b08a6238a31bd92b1c01d"},"sample_id":"sha256:b06da14632aa29a284ce4bfb085cfb1a3121fcc06df26970492a2c9e201c414d","source_transition_ids":["sha256:ae56600b62444c6029193e01ca4fd15820ce4fed68fe2f4fedc29348a1264d6a","sha256:ffab7af2aa69112801ccae7b64d788205204d6d6abec2821e13995c6e8dd9cb0"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1a214473648c8cc8c96e12cfc2cda308ce44b716696db78e9b43831515bc1867","candidate_id":"sha256:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:02c830b250212f250f38a6e7ad051b85c17a59d45415eaae75043987c0e86cf1"},"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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 1, 4, -2, 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_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\", \"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:d15fc88a2c9aec72f8adeef9fc4a544f83546735598a42ab0d1cb360472657e8","rejected":{"artifact_digest":"sha256:ef1d2c6ac492367f6b043b60174913bc7ad4331028244110e070a5d12a316f75","candidate_id":"sha256:065c0501ced7873ca4e30e6c265fe35ce3017440ea565aae2ec90c96950b5849","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 = (-9, 6, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d9b4baaffc4ac49f4147736eab6f328cdf390711a0963b0f0505fa9c086a2dd7"},"sample_id":"sha256:9cb9dab527216934dc2931a55d14e623ca2ec205ca136d2813ce44e4efcc330f","source_transition_ids":["sha256:ae56600b62444c6029193e01ca4fd15820ce4fed68fe2f4fedc29348a1264d6a","sha256:1116629b6b6601921f9c4e96043304c6e5e65e2e35c30ec1311fdf05556c6888"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:1a214473648c8cc8c96e12cfc2cda308ce44b716696db78e9b43831515bc1867","candidate_id":"sha256:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:02c830b250212f250f38a6e7ad051b85c17a59d45415eaae75043987c0e86cf1"},"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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 1, 4, -2, 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_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\", \"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":"sha256:2f0e567700f73f5e637bdde7548dd2c908588cbc602df40cbdd970f5426936aa","rejected":{"artifact_digest":"sha256:818d6b4ce24f5308fa26811c7cb6e0dce3c577e0553c1f94697cd3453aa8581f","candidate_id":"sha256:3ec5f8bfb5333b88f208fe51444090d8caf17fc26a64e2b1af62cd8849268c53","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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"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 = (-9, -3, 8, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:026821b5016c786d038222561fb935790002659b9940f47a5cea0675306c3acb"},"sample_id":"sha256:2b1fd6e92ebfdfa24889ff07ec3eff22fa2cd26c4d29fb411bffe4779f6b9ac0","source_transition_ids":["sha256:ae56600b62444c6029193e01ca4fd15820ce4fed68fe2f4fedc29348a1264d6a","sha256:77b1e1d300a07dac61a1460ac6f290233cb1a111190295e8faeb59ea833341f1"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7a4a2eae422a7f762438ab9e9879f347e96e5f283f0c9635124696bc5ee96230","candidate_id":"sha256:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","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 = (-9, 1, 8, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4727aaa56e2e757d5be27fbdf2f987c0e01c88be33af6f0884344e614eb6b7b6"},"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:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 4, -2, 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_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:f8f0debbed5975c78669c7335b7b510e4f0ab670e81965b6713783519a41002a","rejected":{"artifact_digest":"sha256:a9fa4a85092528680d736bfc523fb5dcfbbbbe5e44325e9d3a83eea28d71a7d3","candidate_id":"sha256:7a47d4888158a779d882fc5d9b0f8921d8561b5cf231d245742e609011314636","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-9, 1, -6, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5c4cbf075956799634902d7952580709d378cda9ac774d1ed39fe26e4cdc2ff7"},"sample_id":"sha256:8fb004b3278da51f13619c3a27808be32f9a51cca4e97737fdbbc2a53023cdb2","source_transition_ids":["sha256:784463bad00e2969cf33fae164460b2457fd85ec93ebbf51488fe7662d64bd72","sha256:7b5bc5b379ffb716cf031b86630de58c858090db014f0ca897cd03ec30c843c0"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7a4a2eae422a7f762438ab9e9879f347e96e5f283f0c9635124696bc5ee96230","candidate_id":"sha256:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","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 = (-9, 1, 8, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4727aaa56e2e757d5be27fbdf2f987c0e01c88be33af6f0884344e614eb6b7b6"},"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:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 4, -2, 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_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":"sha256:68e23eac5c19049022f41a82c9c890e0489365177509e225605c78383a861732","rejected":{"artifact_digest":"sha256:0c7aea606a29a5f362dc92cb950028c6627fbbe2c0b6d2de08ded2b41a94eab4","candidate_id":"sha256:35086f858cd17423bae28e0bb67dbdabce9f4bad103a21fd65207aaadcca72d2","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, 1, 4, -2, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d35f9c47352a29d3e1dbc4a64edce08300554eba2db1955ef39a15533d43081f"},"sample_id":"sha256:8d9e8d064f870896c63a41f810f3423e30611103094f36e15d733b08b481554a","source_transition_ids":["sha256:784463bad00e2969cf33fae164460b2457fd85ec93ebbf51488fe7662d64bd72","sha256:38a90431c6fde9e001c82e4026900d1eee62917eac58de457b79786611de32b5"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7a4a2eae422a7f762438ab9e9879f347e96e5f283f0c9635124696bc5ee96230","candidate_id":"sha256:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","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 = (-9, 1, 8, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4727aaa56e2e757d5be27fbdf2f987c0e01c88be33af6f0884344e614eb6b7b6"},"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:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 4, -2, 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_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":"sha256:66ec8bef889692df5750aaf60b1516374b185f8d1c7fe00750d49b567f7fd123","rejected":{"artifact_digest":"sha256:9a06ed55f279eed55db9dd36dad6b9c14684bf54cfe84cb7c4508fd149890ce0","candidate_id":"sha256:918f75dfba8a8ba4a0d18051bd3d2f366098fa9be324884b28906da6c645e49a","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, 1, 8, -2, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:999fd3ce83c261225380c43a97e25c82358bbc19a9735c9a1bb15371459e5831"},"sample_id":"sha256:9b31edf4b2d13142bd645a2dda45a562077d3932c641ccece6c97c43c36982c0","source_transition_ids":["sha256:784463bad00e2969cf33fae164460b2457fd85ec93ebbf51488fe7662d64bd72","sha256:0049f289b8b65ff20198e7379c5bd7771211e121e24973843bbffbd2de72bc53"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:7a4a2eae422a7f762438ab9e9879f347e96e5f283f0c9635124696bc5ee96230","candidate_id":"sha256:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","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 = (-9, 1, 8, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4727aaa56e2e757d5be27fbdf2f987c0e01c88be33af6f0884344e614eb6b7b6"},"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:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 4, -2, 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_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":"sha256:29de4c50f27bc89cc0bee3e673ff39b6af95dc6a3632d6e2431900254065d824","rejected":{"artifact_digest":"sha256:b5739f8abb3ca4137a40b59f27f53779c5a8c01825efe090a2194afe49da84c4","candidate_id":"sha256:58913d3ca86f02927bc9ba02a6993156f6b070613a888a3e9caa8a99e9f79058","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 = (-9, 1, 8, -1, 8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:703f418567187f69f35c4c74e219b8017a2eadfe51785dd6be875b349c552b3a"},"sample_id":"sha256:c9592de71d20ab62fb5156e181f2359eb55e25bc6e657156c1ff9de663584836","source_transition_ids":["sha256:784463bad00e2969cf33fae164460b2457fd85ec93ebbf51488fe7662d64bd72","sha256:429da672a16249d260715d81ff6e2e7ebf028a0eb7157386115c1aa203d2561e"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ce1c7979025b60587c0ca6fae1ed35d6d312b46d2bbca9c5faf7e8a8287069d9","candidate_id":"sha256:5a5229037cfe7afbad50f5879d21545aac4263d4883abdd9d168fcbfcb2e6aff","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, 1, 8, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5ce5dbdd51fee3a59f529a428d4bae207922eb15361471fc83f844c385d9d5ab"},"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:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 8, -2, 4)\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":"sha256:94993f20e8b7111eae58e84f1d8714e59fb50b4d729e69e740f1e168e1dc8592","rejected":{"artifact_digest":"sha256:164ecadb5ee4b6ea308b93a02729aa3ca9010c3ac40c774f9a57bac77e0adaef","candidate_id":"sha256:1f7c59c3878c2264502874c921065ef8079c3d9a45c455fc0befab6284b3a8c4","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 = (-9, 1, 8, -6, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:18fcb55d8f6d5f026f4c8382b7d67a7ffd142bc425328e7826f3a231930d94ba"},"sample_id":"sha256:554339b5055db4714bbdf4367a2ae4dc25604f5c96f50923de029b97a7c6349f","source_transition_ids":["sha256:c83b97e6f138650b8d230ef35b7cd16145391fc5c9fdfc226d66beec984d5bee","sha256:9a39a221af48ad6a3557626cc7fcdb16937caedbf39f1d9f0b69c4d967257a0e"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ce1c7979025b60587c0ca6fae1ed35d6d312b46d2bbca9c5faf7e8a8287069d9","candidate_id":"sha256:5a5229037cfe7afbad50f5879d21545aac4263d4883abdd9d168fcbfcb2e6aff","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, 1, 8, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5ce5dbdd51fee3a59f529a428d4bae207922eb15361471fc83f844c385d9d5ab"},"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:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 8, -2, 4)\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":"sha256:49bfb2b6268c19d10d4fee7ed9e494dfa9af0d0c6d4397a66e3b6f7bed34660f","rejected":{"artifact_digest":"sha256:053c0f0ac934840504226cc5e164fd56452b8f2438aaccf511143522880f5939","candidate_id":"sha256:1d851c49bca9fbe8ef86577d37e1830e96ac370c2a09a700662d7602e0acb448","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 = (-9, -9, 8, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:76a5a813e708dd2922a147fe7e0f9f4e00a1f5c83f6df6542e5d93f0daed3cb0"},"sample_id":"sha256:36a6cd5d539f389711f1354c922f09c3f8480f8acc2a2f38c4c55b73889b4ba5","source_transition_ids":["sha256:c83b97e6f138650b8d230ef35b7cd16145391fc5c9fdfc226d66beec984d5bee","sha256:2c3e7f33f8a4f89d1a06dbbfe52d0eccfb4b101af4b1cf03f07a15e94a0d8499"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ce1c7979025b60587c0ca6fae1ed35d6d312b46d2bbca9c5faf7e8a8287069d9","candidate_id":"sha256:5a5229037cfe7afbad50f5879d21545aac4263d4883abdd9d168fcbfcb2e6aff","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, 1, 8, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5ce5dbdd51fee3a59f529a428d4bae207922eb15361471fc83f844c385d9d5ab"},"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:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 8, -2, 4)\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":"sha256:12cb24a2c2bed335dc8d31c08e5d1b4e5ec9cc8f54dcad151a62006dc5f5c13a","rejected":{"artifact_digest":"sha256:1ded2295fc3d92861708a70babd08b58d9eb25e0fd03f7bce927b43bf97296ba","candidate_id":"sha256:2f3eb2b5c786921b5d0c24b87783c3c13858fda57de2dbb4276a0fc50d98a702","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 = (-9, 7, 8, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c7285d6f931d88eb70e336dcd2ac198877b69ec73bb5e5cf3e6887e2cc943b0e"},"sample_id":"sha256:83259af5a84b0ccfb2659b31675a87327bba658fdd9704decdb5a3f5e5d9bbc4","source_transition_ids":["sha256:c83b97e6f138650b8d230ef35b7cd16145391fc5c9fdfc226d66beec984d5bee","sha256:3051321025a40797eeecc6abf59f8fd926f78d94c1f9f10704e5d8ea21d29594"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:98fcf716a962f34868cf1af905ff812cdc95846808c1c9eee53723afaee42623","candidate_id":"sha256:aa4f3e95ba32fd73569343dc8a3f3cfde55048be4ec71304a244b0710bf1bbe6","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":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 9, 1, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f8cd7bf20478190a358ccd2106a8b30f4d9a8a23db74230266e4ffa0f12f3526"},"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":"sha256:304a2c4c718be4388197c7ac0b7e5a27838eb7f90bbb44a3bb177bf005a5ccf0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 9, 1, 6, 5)\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":"sha256:07564a4cb84f8ac76c8831cb5b4b2ba07df6f12c60a0f6fbe7af487948d2d7cf","rejected":{"artifact_digest":"sha256:25db8ca3f22962f2d2fb4d0801b19aa3739211ae9b89ac7b33193723d244e04e","candidate_id":"sha256:1e94a121369289a6a695e4a30e80843ab9f2a69fec0b0a01ba09d17e77a835a4","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 = (8, 9, 1, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e8167e073984adaca177ae3fcd86dd7ccee08a3cf7780dc0055e31aef107025b"},"sample_id":"sha256:9aa6d4b1fe500705bf3a6b2d605c41f3284b9df101ef73112fba5d7aed095909","source_transition_ids":["sha256:66103cd21301646d59757fcc58fb00e7ca09052d58fe453b2017434c45093747","sha256:5373d8b319b0cefba65dfddcae8a8ce7dc98b42327144948abfd4b96d94a2274"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a3887bc769056f451d33799264313c7d63eba3d9b5f6dcbb4c1dd5aa6a9d3f29","candidate_id":"sha256:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","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 = (7, 9, 1, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:01628e0973f31c65193e6ee0f58e16888e0541b00f53d44b5d66446c8e7e4f17"},"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:aa4f3e95ba32fd73569343dc8a3f3cfde55048be4ec71304a244b0710bf1bbe6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"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:bbdaf8054c24c58c8241ca9ca7d934babd596b72614ec1844c999234422ce7d9","rejected":{"artifact_digest":"sha256:5b79a0eb56ca7dedd977a0e13ce609f7de747b111e0b48f29bde642dc5bb1248","candidate_id":"sha256:24b4d6104aca7c9d5c220ee29b6ba0e5d88a78cd3123053933180c0f9d2853b5","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":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (7, 9, 1, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e604ecb432b22fdbd9453bbae2b7d83ee90ccd00ac0178c3514086af92eb25e4"},"sample_id":"sha256:08c1d4b76e45db134043016b0aa44ea7b343a7b8768099154facf27f8b0bb0d0","source_transition_ids":["sha256:ec88761c749b9f3f3dfc1c5b820eb8161a7e25fd419b2c730a4bfbe26dd8f7ff","sha256:6c8c026b63b68f66b7c9303b601f7a52da61571347cef68c7387954e6821e381"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a3887bc769056f451d33799264313c7d63eba3d9b5f6dcbb4c1dd5aa6a9d3f29","candidate_id":"sha256:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","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 = (7, 9, 1, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:01628e0973f31c65193e6ee0f58e16888e0541b00f53d44b5d66446c8e7e4f17"},"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:aa4f3e95ba32fd73569343dc8a3f3cfde55048be4ec71304a244b0710bf1bbe6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"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":"sha256:2be5f666f34582f083e3fd83b7376eea9493d3d04d4024088d6cf9502a344d33","rejected":{"artifact_digest":"sha256:18f5c6a41ddb84ad25fe28318c4eb5e20ade6149624b8b00dfc6d0c377841c68","candidate_id":"sha256:1b709f91be9b9e7330e101fcc00d4fc32eaa68823544131898a61ff779908697","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":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":13,"improved_coordinates":0,"phi_candidate":14,"phi_gain":-2,"phi_incumbent":12,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (1, 9, 1, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:09de1484b695b666d10c635960b2c4da0c6f4506e1d69b5d65bed3d67c9e2eeb"},"sample_id":"sha256:02750463dae535213b87de186280a366c39292d66ce700df4e287e727757c6bc","source_transition_ids":["sha256:ec88761c749b9f3f3dfc1c5b820eb8161a7e25fd419b2c730a4bfbe26dd8f7ff","sha256:a3d7f53ee78fbc251ea7b5c6fa0bd9119bd8e72e7c31c4614a17a00faf6cc288"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:a3887bc769056f451d33799264313c7d63eba3d9b5f6dcbb4c1dd5aa6a9d3f29","candidate_id":"sha256:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","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 = (7, 9, 1, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:01628e0973f31c65193e6ee0f58e16888e0541b00f53d44b5d66446c8e7e4f17"},"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:aa4f3e95ba32fd73569343dc8a3f3cfde55048be4ec71304a244b0710bf1bbe6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"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:d048dde65eba4fcead424a35aaa8ff3f876189f12c838366b91e3f9d9d5aad68","rejected":{"artifact_digest":"sha256:d42a218dadd502b318dd34e2f85c588aca2b6082b1838c8693b6268e472d6b17","candidate_id":"sha256:93b98233937acb92b2b7fdea1f155e744e9a12f143fd1c057df2bbb7cfec5054","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":[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":7,"improved_coordinates":6,"phi_candidate":8,"phi_gain":4,"phi_incumbent":12,"worsened_coordinates":2},"text":"def transform(x):\n    factor = (3, 9, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:67e82ce988af86d6da73dddd0f16437dcfb02bb8e99c071eca3d91bc6658604c"},"sample_id":"sha256:5c19c6bb61cce80ba5a4702dbc5649f13da5052dd0acfb2f561c605bbc4f4a13","source_transition_ids":["sha256:ec88761c749b9f3f3dfc1c5b820eb8161a7e25fd419b2c730a4bfbe26dd8f7ff","sha256:bf9487be6a7d5c7c0884aff8fba2930d9871f09653c0623bc6f670350d1c08e6"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c19ec976c1766afc6a1c519a5802bc2450982cc06df49cf42daff64f7fdfbba6","candidate_id":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","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 = (7, 9, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f2cef6144def7e8855b1b1423ad43714a14da0fe65a2d72d937d10ca088ef0ef"},"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:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 6)\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":"sha256:465780995a4abf67ee34ed1d91c741c83be81749abf887540863687ef2e8b1b1","rejected":{"artifact_digest":"sha256:977cf323d1fad771b964530474d3eb802f2083b8c171a38aaacd82c78d84e090","candidate_id":"sha256:044b17e4dd49aab3bf3cb47a4d41fa0393474335eceb948122554e8aebd735cd","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (7, 9, 6, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:77dd3ba1c42e9035807c4a35e5249cc4fd27f2cbd3f733f6841573be59a91088"},"sample_id":"sha256:0e1202e01d421e43020971b9be12857198f3e828ad074c262a4c86d073b8aeec","source_transition_ids":["sha256:829a2b698aced8c8f85bb485fb193aa5e548e4a20c9423f655de4692334d3810","sha256:97507b15b9875a79aa751a2930e9bc018f6dce50c4eaee7e1e93f8d60d613e74"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c19ec976c1766afc6a1c519a5802bc2450982cc06df49cf42daff64f7fdfbba6","candidate_id":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","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 = (7, 9, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f2cef6144def7e8855b1b1423ad43714a14da0fe65a2d72d937d10ca088ef0ef"},"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:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 6)\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":"sha256:0bc56012e1b0bcee227062630bfa26e8a22f43b1fce4e2444a8b5c8460bfe18b","rejected":{"artifact_digest":"sha256:ddf58cfafb031a442fc10f3daa2b37a66ce40dc5282bc0ba154c2cbf69e0606d","candidate_id":"sha256:b3becf3ee3194de767a13f59841420d8e7479a144a9a1d55d61979ecb16ed77d","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":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 9, 1, 6, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c99261a7a1a3a7447341d9e9c4fd730224d268a599f8ae91d6dbedcfdda58c90"},"sample_id":"sha256:2a5f5890befeeac63411127a35ae29e7425bab0f46a4b66db705a08ca532a4ab","source_transition_ids":["sha256:829a2b698aced8c8f85bb485fb193aa5e548e4a20c9423f655de4692334d3810","sha256:76150f9c605e24101b2c8fdf5fe397ca78b94894fe934941a3bce6653855729a"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c19ec976c1766afc6a1c519a5802bc2450982cc06df49cf42daff64f7fdfbba6","candidate_id":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","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 = (7, 9, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f2cef6144def7e8855b1b1423ad43714a14da0fe65a2d72d937d10ca088ef0ef"},"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:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 6)\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":"sha256:0e58a5298ff30be36a3913037b759890db6f73f19f6fcf2f8598d9e539102de3","rejected":{"artifact_digest":"sha256:9133e898f664ee989db7806dec8d64f40dbef25d45bf85468e65753dcf2bd2ea","candidate_id":"sha256:22dcfe99e82f98670116312bbed0a6ed364bc889d7c068f872e92b23afb140f7","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":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 9, 7, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2180f8a81a7714a51ee4185de2336a4b878059d493758d5b3fba7323ef6484dd"},"sample_id":"sha256:3ba89cda0a5553b4e3aa7a9848eda858381b140f9792ca2754c07388f06de213","source_transition_ids":["sha256:829a2b698aced8c8f85bb485fb193aa5e548e4a20c9423f655de4692334d3810","sha256:c78ebb54cd5eb96b6b0055d3d2438ea8546d25f0bdaa4c12df2c81f47ad8495b"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c19ec976c1766afc6a1c519a5802bc2450982cc06df49cf42daff64f7fdfbba6","candidate_id":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","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 = (7, 9, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f2cef6144def7e8855b1b1423ad43714a14da0fe65a2d72d937d10ca088ef0ef"},"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:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 6)\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":"sha256:07992f84fe9e67251dcf13aa9bc3e28e04e64245247ab4a42536682b19ef7eb0","rejected":{"artifact_digest":"sha256:ee4bc78594a0d93dce2a27da5633a787862abaa01e89060f4a77f1bf07b2aa07","candidate_id":"sha256:b2ea1f83dd9be409907e690803d29c724ab06fd643f56435be756c7cd1711481","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":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 8, 7, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:359595d6af2e98f1b497ac34d69be09b90602b3f18f7e92942b348ee6ee102e8"},"sample_id":"sha256:2c69c8a57727fb7bc5e8ae1a83889094afefcff3527347928db358354cc0ba7e","source_transition_ids":["sha256:829a2b698aced8c8f85bb485fb193aa5e548e4a20c9423f655de4692334d3810","sha256:d3fc5241b4803dafafdd5c6b1231d803d15bf8fe6cb032d736c49849b492532d"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6b404e40411eb2669478b9da327c64ec41f6213bc018c8e1ef17fae93afcb6e9","candidate_id":"sha256:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","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 = (7, 8, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3e107d5f1d6d89bb9178879cabd56b917b63bafc5d1a5bb0f76fec74f5286db2"},"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":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 7, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:683189ebbc63b78143041825683d4292b57f92468566eef842d0bded6982b2d6","rejected":{"artifact_digest":"sha256:952b91fcf80f5524d23609cda8d4d64851fd310aa4dbc8743d69e59df9849bd7","candidate_id":"sha256:c91b5981bd7c37d37beb27af5d88afff48e544cd27f5d54d329cebce5424ce6b","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 = (7, 2, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0c457e8759a0dadacb20544624b5c78262c302420b63f2c9170773fc198a55fd"},"sample_id":"sha256:26fa3e81677a438db54460496071a4ce81e8ebff66ae0b36069ceef8c8f8a89f","source_transition_ids":["sha256:5b5d30c20fbe7b71e26dc01ce5a20011c3d8829b79d7c2a27f1b7adbac3a0003","sha256:a317729b8695fb44d9e01f578d3984302248451821a99b7434a82eb9aae0d1b4"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6b404e40411eb2669478b9da327c64ec41f6213bc018c8e1ef17fae93afcb6e9","candidate_id":"sha256:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","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 = (7, 8, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3e107d5f1d6d89bb9178879cabd56b917b63bafc5d1a5bb0f76fec74f5286db2"},"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":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 7, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b3b8044b2e2b7d436c568f572154dd76438523826e16092f15f2fb2e07d744b8","rejected":{"artifact_digest":"sha256:b3cfc171d3907d3039604147588579ef2442a4bfff42fbb4e2a03701964429b5","candidate_id":"sha256:6175cf3c486aaba71f4508ef7521cc648d6371e4dec46a83adf43105de1f5421","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":[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0],"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, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8afde336dad4cf1862824384f7e812422753112db8fc686a40959763b52a353"},"sample_id":"sha256:6d3928d67d27d70ae71cce1b36d9c9c9cfefb4eb05d6fd00d20208b44f785dfa","source_transition_ids":["sha256:5b5d30c20fbe7b71e26dc01ce5a20011c3d8829b79d7c2a27f1b7adbac3a0003","sha256:2d03ea75a632831d4c8d118033997b8c490cca062484ccde018d128e2aa96abd"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:6b404e40411eb2669478b9da327c64ec41f6213bc018c8e1ef17fae93afcb6e9","candidate_id":"sha256:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","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 = (7, 8, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3e107d5f1d6d89bb9178879cabd56b917b63bafc5d1a5bb0f76fec74f5286db2"},"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":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 7, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:42c0d2732982d2a59e8a13e2a96cec5028443d8a6c38b940a312608a0ae29363","rejected":{"artifact_digest":"sha256:63fc6f029014810501797328563ddd013ffd79c4c1602b517d4c717895ff5f4b","candidate_id":"sha256:e8a51c492aff6679a1792ac2dd94b31dfa79514dde1abc8ec2e1de025a33e513","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, 8, 7, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f42343d1229994d1bf50d7de6305b12626fe37cbd8209ee7d3710e3381e32125"},"sample_id":"sha256:e10ede551c59cc4a1adcb62647f3bf414736874413062f480f4cee1c9afe3dd6","source_transition_ids":["sha256:5b5d30c20fbe7b71e26dc01ce5a20011c3d8829b79d7c2a27f1b7adbac3a0003","sha256:fc7da9e1dd5530a515b5ef7723aec51985ebc9cd74e211fa51519b8bbd0b93ef"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3fcc080752b664b759bb5543b9e8cca92ba7d43b07a3b34804a03b19b251d7a0","candidate_id":"sha256:f2d6518b35b3d3b3e7e4df0d5e55d8e95ec3b560f41857e061598a187a8dc847","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, 8, 7, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:63336a684fe69f365c20caaa8e30711ca7031e40c20c4845d2e6c58af19db58f"},"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:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 7, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3a95fb444af411e9487e698f31e40bb5c2df4f1285bcfb542337e646d435edb9","rejected":{"artifact_digest":"sha256:65672d9ff93ea8cf27939ae2d86d1d737a0c6bd7fe336233dfb8d986f2a695d6","candidate_id":"sha256:79a5cf87ddef220911ad140319389014078b26bba1dcaa967f0d1c756e039e16","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 = (7, 8, 7, 2, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7715a14337855c401b603e4b75f357ea696323e0b92218129a5ef6e80d8431c0"},"sample_id":"sha256:d913a8661af28343730281060b5426718a2b607127ce1508562e0f3ddf9756e9","source_transition_ids":["sha256:95a306ba005fef6a47cb79bc9f70e22f4169b8f4b54234976482541ca56dd370","sha256:fc7e34dcd2b9523e2bb1445fb2e877b1f3f569501eb061fe57c056086a6148f7"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3fcc080752b664b759bb5543b9e8cca92ba7d43b07a3b34804a03b19b251d7a0","candidate_id":"sha256:f2d6518b35b3d3b3e7e4df0d5e55d8e95ec3b560f41857e061598a187a8dc847","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, 8, 7, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:63336a684fe69f365c20caaa8e30711ca7031e40c20c4845d2e6c58af19db58f"},"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:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 7, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:46fc48b09db20fab9553583fedc1220069522b2cce61fceffa3a8c0238223005","rejected":{"artifact_digest":"sha256:9ac32ac3c62ef38e37ba9f0a9268e98fcd99f505a3e6e161b2540e15caddb3cf","candidate_id":"sha256:ddeefd979b09b32ebb04a05b4676ce85ca8a449382bf70c91074ea05937c40f4","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"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, 8, 5, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c42165804525d93632e20d56c8874e6ee63881fa4af9944a01a500e2ac674ec4"},"sample_id":"sha256:8bd1204c403bffad074346731bc60051d221ef3a8a10d120fe76da3aca3614b0","source_transition_ids":["sha256:95a306ba005fef6a47cb79bc9f70e22f4169b8f4b54234976482541ca56dd370","sha256:7bb7beed4fd4d0c6e3791dfcfa535a7b45e03f9c1838d88ffe9c8fa10e5449f9"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:3fcc080752b664b759bb5543b9e8cca92ba7d43b07a3b34804a03b19b251d7a0","candidate_id":"sha256:f2d6518b35b3d3b3e7e4df0d5e55d8e95ec3b560f41857e061598a187a8dc847","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, 8, 7, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:63336a684fe69f365c20caaa8e30711ca7031e40c20c4845d2e6c58af19db58f"},"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:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 7, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e7b4352deb7a3b58d2ddc7b1db0e3e424e69ffcee9c8a5462e6579f04bd61432","rejected":{"artifact_digest":"sha256:4269031faf5cf023f2f4486438957d2a6195c1a1deb4de7d000da4be12cc1403","candidate_id":"sha256:79e01fffd877f745be06f7014905e46d6d4e35547ac7e0f38d36bff521345c06","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 = (7, 8, 9, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a7d23c286fa802a32e90bdd22907f3a1d9a8a03c2e14d65a42e5e538a592f2e7"},"sample_id":"sha256:285793e04c54577c0feb3e12797179900357d0ff0e237d7defd38006839ae8ff","source_transition_ids":["sha256:95a306ba005fef6a47cb79bc9f70e22f4169b8f4b54234976482541ca56dd370","sha256:ca4b3cd113cda338515cb4804b1c9bce2c88ca30b9bc076326a96478526f183e"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b6d92ef3131789206c0aa36ed39d8ede06ae28ae2efcc96befcb73907c42b3bb","candidate_id":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","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, 8, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:908720a00a2e07252d88287a5011d61697d9f98d72e5d60d4f4e0162508d0ac5"},"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":"sha256:9ed67cab2efa1387749e6e3f1fc7ebd02c9ad85ea567c9e9c372468e7e7a2208","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 8, 9, 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_006\", \"xor_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":"sha256:5e1ab6de689ee5ce6115432bc495015aa787c92766e296ca97ac8c3246e52093","rejected":{"artifact_digest":"sha256:b1bcfe7459cadf8447d70ccd5a9d6b9c41481750c5625077c9186468a2aaa1de","candidate_id":"sha256:08892ec5252a31abe81f5303219cf250e61140db1826ab51fc0aee2b81efc2b6","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 = (13, 8, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:bfbdc1eda973dcf05ed41f24d26d5fd197ba0786f848f8ec3090dd9bf210f1b0"},"sample_id":"sha256:d6ef813d3df23eb0ec0bacd95f09ee4ad7bd38ddb18df28c2d44b906ded774d5","source_transition_ids":["sha256:d1ce22b75df8e8401db63bc78265b30460af935dcb1758bbc668879b518a6f65","sha256:0726eb37e1092854cc2d6ab845b8bae8895f9c8f9b862920632ccb5c89a284bd"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b6d92ef3131789206c0aa36ed39d8ede06ae28ae2efcc96befcb73907c42b3bb","candidate_id":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","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, 8, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:908720a00a2e07252d88287a5011d61697d9f98d72e5d60d4f4e0162508d0ac5"},"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":"sha256:9ed67cab2efa1387749e6e3f1fc7ebd02c9ad85ea567c9e9c372468e7e7a2208","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 8, 9, 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_006\", \"xor_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:acfcd86c36483c9e842ccd41a0dbd2b71d44fcdfda3f4c961267641a2dcfe534","rejected":{"artifact_digest":"sha256:6856620d69912ab05ea1c1d710445610c79914f22c39aee9d2d336474bbdfc85","candidate_id":"sha256:3b7d38331be3c56c72953add8ccdc2d4ce75bf2e806b574735215d99b33d890e","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, 5, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8a9730df26eb07abd81c6de82c0a9196a494c9ac00108cc00cbeb762e29e1c95"},"sample_id":"sha256:bcb1e8b57a5019a994780acdfdccc5c909369412242d3fe05f692dcd1db96c76","source_transition_ids":["sha256:d1ce22b75df8e8401db63bc78265b30460af935dcb1758bbc668879b518a6f65","sha256:01db678be2317e6444d99f1d83f9b51b57191332617f79f0a4a69de03d63ab16"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b6d92ef3131789206c0aa36ed39d8ede06ae28ae2efcc96befcb73907c42b3bb","candidate_id":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","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, 8, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:908720a00a2e07252d88287a5011d61697d9f98d72e5d60d4f4e0162508d0ac5"},"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":"sha256:9ed67cab2efa1387749e6e3f1fc7ebd02c9ad85ea567c9e9c372468e7e7a2208","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 8, 9, 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_006\", \"xor_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:ab39aedee700135d5f2575d247bc88c837558c6b76357ca8dc005684067a17ce","rejected":{"artifact_digest":"sha256:039c3fa25f0ff0102247503d1d6e7ed7b6ea077cb4a8fc5cdfd8c76a7b403919","candidate_id":"sha256:d6847b8b3662417cf58087b2084bf09e49ab4ce1e201e217856ad7049fd103c3","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 = (5, 14, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1c1dafe8a5314c64db11855c98796bd0bbb03ed20b0846924cab98d29e38bb09"},"sample_id":"sha256:13f5d1cb07f5a836a3b28ef6b1ecad254f34643d98047b0cf2d381a8f06d8db5","source_transition_ids":["sha256:d1ce22b75df8e8401db63bc78265b30460af935dcb1758bbc668879b518a6f65","sha256:3d0c3a4cbeb572ba843de5fbea7dc6cbd541fd978544099bdff7476a22775859"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:b6d92ef3131789206c0aa36ed39d8ede06ae28ae2efcc96befcb73907c42b3bb","candidate_id":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","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, 8, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:908720a00a2e07252d88287a5011d61697d9f98d72e5d60d4f4e0162508d0ac5"},"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":"sha256:9ed67cab2efa1387749e6e3f1fc7ebd02c9ad85ea567c9e9c372468e7e7a2208","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 8, 9, 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_006\", \"xor_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:df0f42f9e6ddd82c00ce809c7125d366ae2fbcf9cd921c43446a303464bb2cbe","rejected":{"artifact_digest":"sha256:a1e146fc89f6b5e8ee383e00eb80892b39c83408f6c38b45a4a5f714bb0decd1","candidate_id":"sha256:c7bef74719638e14c4511340d6fed5c606f2496d84b7642f3a95b1bd6a9e9b58","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":[0,0,0,1,1,1,1,1,1,0,0,0],"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 = (5, 14, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8223a5dfd38fb56e4a6ae43d42204657e47eae364e5574af7706c470113c5fa1"},"sample_id":"sha256:49703d9fa471a84e1d0ae717bec9f4c0f305bb3d852e01af679b1d0ee0d52e07","source_transition_ids":["sha256:d1ce22b75df8e8401db63bc78265b30460af935dcb1758bbc668879b518a6f65","sha256:7b19eb6aa35a94182c26bf5e0a3ce4a3206efdc09a637a17345350c4779e975c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:98730087f692695cc0c474b9c8fc79cd3c9ba6d7e8b46668d087048818925adc","candidate_id":"sha256:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","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, 8, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b57bd4e071fb3a4981c7a4a3edde3517691dfe8fca9c5d009938d62964ad67a8"},"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":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 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":"sha256:1389b379bdf8e90992fe974f8a6cafaf5f75449e406a0dcc5ada03b318bc1646","rejected":{"artifact_digest":"sha256:0fa92d99cf3550b13095258b19ee2dae9d691b5607a1d7cb3761eb3bdd038106","candidate_id":"sha256:fd49f0da9d7fdda028e70afde91b728d3658efe11387e79a6da2e9e571eab798","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 = (5, 8, 9, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5741029b17c9da3edea6d18275a1e5ba0c753f10bdfb71cfb0ce47b84da3255d"},"sample_id":"sha256:599c825ba1fcde01337fa28fd8c27f2eaca6c0fee2bad92e1104659b96844178","source_transition_ids":["sha256:012770e7d9686e6b1a0d389f19198a2889a058f96dd725e57c1372a04463042e","sha256:fd294eb6a068f9c992494e96aabd5c456e03badf5ad570e05599df831e311f55"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:98730087f692695cc0c474b9c8fc79cd3c9ba6d7e8b46668d087048818925adc","candidate_id":"sha256:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","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, 8, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b57bd4e071fb3a4981c7a4a3edde3517691dfe8fca9c5d009938d62964ad67a8"},"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":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 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":"sha256:791755d704a4ece533c02afe029b681e52bc3ee2ce2ee0ac3a757df864ef354b","rejected":{"artifact_digest":"sha256:8007bac6969a6b6a2488e60f593292e8008f894269dff27b49ed8cb0e2e492df","candidate_id":"sha256:a7a2a8805ccf89d1d1ddb149641dafef4c64f982f1212074ac5aea5c2cbfdde7","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, 10, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:46e3e256876a774f379748f569c40be9f96f93990869cef26557b42fbd43f135"},"sample_id":"sha256:d68321b1ff876f22a7d7b0978830c11e5727f89cd26a2c23c0d2967317a96b9b","source_transition_ids":["sha256:012770e7d9686e6b1a0d389f19198a2889a058f96dd725e57c1372a04463042e","sha256:025f7f2f2d13fe8076612ee3366e1a7a283330451b3b73632386b0b80857f519"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:98730087f692695cc0c474b9c8fc79cd3c9ba6d7e8b46668d087048818925adc","candidate_id":"sha256:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","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, 8, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b57bd4e071fb3a4981c7a4a3edde3517691dfe8fca9c5d009938d62964ad67a8"},"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":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 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":"sha256:016c9b84d7432425361556cafb7a17386328d6ed15d1801f419e1f521c4652e0","rejected":{"artifact_digest":"sha256:1fdb754038a6e27c6237bced99e9ef784ca23e7c7d050efe519b229b720e9ce2","candidate_id":"sha256:ce6b29d98e88fcdd0ebccd7b02f602b5e2cefcb7758959ff7c15cb2c5679723f","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, 2, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:335678782bbba27635a16f37385fa4e56fc73534d6dc7b376b7f89d7fc8d404e"},"sample_id":"sha256:8ab58a53b9374f0b676fb4922e02e79883587b5679ad40becc4332dafb31efbd","source_transition_ids":["sha256:012770e7d9686e6b1a0d389f19198a2889a058f96dd725e57c1372a04463042e","sha256:cf017d3cd9eaf9d42ffe909025562c135ad9fe9e6d7439778072702316a05baf"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:98730087f692695cc0c474b9c8fc79cd3c9ba6d7e8b46668d087048818925adc","candidate_id":"sha256:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","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, 8, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b57bd4e071fb3a4981c7a4a3edde3517691dfe8fca9c5d009938d62964ad67a8"},"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":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 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":"sha256:366c0464bb09d4e8e57673409727ee42a1ddd8c6eb054e8eae8e224d86e8bb3f","rejected":{"artifact_digest":"sha256:a42b7be2823dd7da6cff5ef1130ba930d07cc18c9bbef50062d09c18eac7b74b","candidate_id":"sha256:d800bd88845f2ceb8669e5b923062c8f04e1502a791ea9fb0dae5adfb66b4dd9","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":[0,0,0,1,1,1,0,0,0,0,0,0],"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 = (5, 2, 11, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e89997bdc0b1d57194118d177f5c6b16ca01bca99e1c5c69e6c415f128ae067d"},"sample_id":"sha256:6057647b866b7f92b207c388e31fa089491d4f0989ec86f625cf5a3dc6756529","source_transition_ids":["sha256:012770e7d9686e6b1a0d389f19198a2889a058f96dd725e57c1372a04463042e","sha256:bf64e2dc6bb6d0bab0aaa57ee91d655cf7d67529c59dffb9645d9cbcb9d3dd6e"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2a5333e871c00268cdcc9880831f3d0033dcb1a4f48941deb584b7f7f01be5dd","candidate_id":"sha256:74423356dee47360287da563bde52cf455df5db9de4f8350e8558cd7a44d644d","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, 8, 11, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:208069875b8e09b502920ea2efa21dcd6831ea14f68d3e1736985ff71eac2673"},"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:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 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":"sha256:7a6b999f37224659ed08f06f52151b58b93c20b9268643318846286c78e1cc76","rejected":{"artifact_digest":"sha256:ff0ad40decbac409e6c99f1f0ffa3808172c8bf13d578f80ea9d25ae18f89cf4","candidate_id":"sha256:a1aa3ab3f9d3aed4174eca91d619bbb90b50e31e2d7874e40d5cdd5dfe9404e7","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, 8, 15, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:362941f2e896167ddf881b16dd4d6c07ca1410584f473b0a50599dd31dfad159"},"sample_id":"sha256:33bd456bdedc645ec5b92409a984bf859575dd9e28c94525f3a7d1af48f89ca2","source_transition_ids":["sha256:6bad6a727b022bb6181ee5a56f5f45768f1af5cef102115d0a3b55d2b7f4811a","sha256:b0b9dc5218b00f1fb6ed765cc656efd3acef44e8507ea6bd7948ba94ca0d4a11"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2a5333e871c00268cdcc9880831f3d0033dcb1a4f48941deb584b7f7f01be5dd","candidate_id":"sha256:74423356dee47360287da563bde52cf455df5db9de4f8350e8558cd7a44d644d","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, 8, 11, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:208069875b8e09b502920ea2efa21dcd6831ea14f68d3e1736985ff71eac2673"},"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:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 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":"sha256:7950a3bfe0ae5a16d7dc5027af16ae576947b3b1335c3a2b7d9067d07d40baa8","rejected":{"artifact_digest":"sha256:e2d952a6b68c50b7f38e6a2e4be6dbafa14b85d767b7d03bea92032bb1778a2c","candidate_id":"sha256:e20268c39ba589694a87b86f27d494e04cbf227500894d0335221876097a7135","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 = (9, 8, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c6b9d96341e85befee9b864918e68280c32ebd437ceaa1c64f5b0c617da28b4a"},"sample_id":"sha256:b6cb2a4cee7f2a0aad2c4ca9402d7b81b64e6ca656d5aaf665f750378ba3ff0e","source_transition_ids":["sha256:6bad6a727b022bb6181ee5a56f5f45768f1af5cef102115d0a3b55d2b7f4811a","sha256:8616bf30c0520ca1620484fa6079175453189de1110c658e4b760226c9b4f6dd"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:2a5333e871c00268cdcc9880831f3d0033dcb1a4f48941deb584b7f7f01be5dd","candidate_id":"sha256:74423356dee47360287da563bde52cf455df5db9de4f8350e8558cd7a44d644d","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, 8, 11, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:208069875b8e09b502920ea2efa21dcd6831ea14f68d3e1736985ff71eac2673"},"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:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 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":"sha256:4ed63c5f7fae82cb19ed833978bdf5f352188efadc49cd41d0250efde121ec44","rejected":{"artifact_digest":"sha256:eef260032fea398f781d2ee2a42188aa45e8b899d0938cd5a7af8c1b3da73db0","candidate_id":"sha256:fc724a92f7f0583742daa9e134f00d108dccbfa9ea409d7c6960f0e7f75ba552","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 = (10, 8, 11, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:bd3e6c2385a975a3902a8e4f5531f2263ec6b0d3896524bd504f19f9e37c5080"},"sample_id":"sha256:319dc74626f9889b5279cfa6f98d13191dd5fa54b1e2a714b328ff07f7b851dc","source_transition_ids":["sha256:6bad6a727b022bb6181ee5a56f5f45768f1af5cef102115d0a3b55d2b7f4811a","sha256:61cd7c55a94609a80ba1e170d3467f9556ca11aeaa98ce790a856b373d14ad77"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d9645603b9e4a92bcf2343698e24f4d1356270f9a3d1d10cda7d751ab5f7aa40","candidate_id":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","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 = (-4, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b8702732662d34f0ce284ec249735ef80767f5aa2bd7a6b57c0746896a9a0330"},"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:a3281595927a0f75cca0419acc12e1aa76c43c82a71616cdeb8a5ed66cafbb80","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -7, -7, 6, 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_003\", \"signed_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":"sha256:53ad563cf20443c300fc491d33cf30d234b4ff531711fb2b242273c4f2d1cbf2","rejected":{"artifact_digest":"sha256:5fe9c4e761aa2446bf1d628b3ffbe0ad43b9f36879014fcc56844d162a2d5283","candidate_id":"sha256:b85325379b6a720421490afdd0e1a7bd650ef1318ddfc5e1c2ccc61660791776","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, -6, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:df4c091f6dc7e100a71bdd295e9dce00d2cb7c20868d6c314ffac149c6279366"},"sample_id":"sha256:0e71c6d79687475b809e49339bff6e9d9ff20e2c54f55d064b74e7eaa22ab3ae","source_transition_ids":["sha256:0d416cf6b83ef5456d0a90abe2d0e52013b336a398b168de45b7503653a2b540","sha256:5b7324ad3c2970670f5b560581f6b1d898780318e6288a21081b0801e487a255"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d9645603b9e4a92bcf2343698e24f4d1356270f9a3d1d10cda7d751ab5f7aa40","candidate_id":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","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 = (-4, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b8702732662d34f0ce284ec249735ef80767f5aa2bd7a6b57c0746896a9a0330"},"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:a3281595927a0f75cca0419acc12e1aa76c43c82a71616cdeb8a5ed66cafbb80","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -7, -7, 6, 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_003\", \"signed_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":"sha256:58b649d820089e9513252d7f96b39294baf7fe902bcc393d221976c5b718c020","rejected":{"artifact_digest":"sha256:2e19b3c3dc606c4b8d64ad9529baa9826df1d0443f4c6373c0d779dc9c805363","candidate_id":"sha256:94c12ead31f527db3a301cf54ad1ac268b8a72b0f826b823765ca445b7ced088","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":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"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 = (-4, -7, -7, 6, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cc590098e7444f1315dce30f6c49b03de0eec2d135a83ee8412165d3dfb97c05"},"sample_id":"sha256:3ded2e97b1435390d2b4c8145c61c15742ca08566538ea6a2eabe53f44beb369","source_transition_ids":["sha256:0d416cf6b83ef5456d0a90abe2d0e52013b336a398b168de45b7503653a2b540","sha256:e46193902b8f4355a3870945130995b6fd7357643ca18408043f1460502663cd"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d9645603b9e4a92bcf2343698e24f4d1356270f9a3d1d10cda7d751ab5f7aa40","candidate_id":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","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 = (-4, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b8702732662d34f0ce284ec249735ef80767f5aa2bd7a6b57c0746896a9a0330"},"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:a3281595927a0f75cca0419acc12e1aa76c43c82a71616cdeb8a5ed66cafbb80","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -7, -7, 6, 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_003\", \"signed_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":"sha256:2af3ebbecfe9bffb879c7620dda653276cd2357f0aa8b10cfd31d5a4fde9f417","rejected":{"artifact_digest":"sha256:b78f27453610155fc41deb87a33719eefef261254dc6d5311424c8c86af05c67","candidate_id":"sha256:7ffb8d339d7e5ecc65523ef9eea1628e7be1f8e7c357b37bda656cfac3db64e3","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"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 = (-4, -4, -7, 6, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:74aaba32c5b9da1c4405f26f10f5e61f6d5d937357a3bbb04661065a5b4ecaf6"},"sample_id":"sha256:3714cceb00870e4790cc2e8626a5efa0c88c4db3c48fa1e5448877e8fbb11d5b","source_transition_ids":["sha256:0d416cf6b83ef5456d0a90abe2d0e52013b336a398b168de45b7503653a2b540","sha256:996a81f0756448d9179878feb5119b4fcb8498bb301fdb7eaf0f89e8234b8f7f"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:d9645603b9e4a92bcf2343698e24f4d1356270f9a3d1d10cda7d751ab5f7aa40","candidate_id":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","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 = (-4, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b8702732662d34f0ce284ec249735ef80767f5aa2bd7a6b57c0746896a9a0330"},"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:a3281595927a0f75cca0419acc12e1aa76c43c82a71616cdeb8a5ed66cafbb80","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -7, -7, 6, 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_003\", \"signed_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":"sha256:3d21e868de953c6cf86bb1adc3ae3431dbaaea3adb2845aecdc29b29a8a9fb4d","rejected":{"artifact_digest":"sha256:910730a6785e7ccd0c673ff1e46b594bea40dc2c09771ce42d81ca2aa7c71c90","candidate_id":"sha256:94ecc8d9fef714925e78e2589ab497014cbddc2dea14af7618fa5a8ac6487d39","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, -4, -7, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9874d8452665467f9f158927ec0f27dd5551aa8b8a92cc97b7b3d873ef5bd784"},"sample_id":"sha256:fab7b084ef8a37c34f09a483f8b1f519376fab29c0f2873747dff35e6d93bfb0","source_transition_ids":["sha256:0d416cf6b83ef5456d0a90abe2d0e52013b336a398b168de45b7503653a2b540","sha256:49a6c9ecd7004e7dd64f8c5efc3805d657d5290e5a7e4f8098a35c9dd4d85247"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ea591d53969d649371c5c130e0edf5bd80e66b360620f6d4be1d6dee8a7690cf","candidate_id":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","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, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8104fe13a6d2313b9d23aa44a3e3026a6491e6c2c4c6c40caad28019191561f8"},"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":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -4, -7, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b18694a124d654fb3e34a63a68a873070a670730535ec03f497360decbb7cc13","rejected":{"artifact_digest":"sha256:d86ae3c7b9939e004e2513a87e8d551da99d8eac2fe72c9ea71f477d7724f197","candidate_id":"sha256:a6cc15359ef584881ff5169899505219f848306da2c57b18dace1a233b36b89b","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, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e20bffd27acc5c64ef16a781628d57f6767b909fe5e7980e46e38daf50ddbac1"},"sample_id":"sha256:be8ff42cd2464b0823b38fca729996bc3fa80a3d6b9e1bcfa201df47ee8f4bda","source_transition_ids":["sha256:8dc48774675bae89a75def5c92b42a62690beb0b6316d07ee38172f9ef57f63a","sha256:843a1ff7b025cf7717c73405d46dc4f0c3310f11cd31691bcdf87904c910b0e3"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ea591d53969d649371c5c130e0edf5bd80e66b360620f6d4be1d6dee8a7690cf","candidate_id":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","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, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8104fe13a6d2313b9d23aa44a3e3026a6491e6c2c4c6c40caad28019191561f8"},"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":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -4, -7, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:00b06166e51c45fe22b4b28e411a618520dcfd765efe3806f595a3c9598f461f","rejected":{"artifact_digest":"sha256:eff3c237ad412c9d468d4a180308c0f0cfc258702b320371360f4bf1d413ac24","candidate_id":"sha256:eb09308aa0d7a1755a569283513d50bd7c364910324d85e49c85a39245de2876","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 = (-4, -4, -7, -4, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f188569672ccc49985cefa04a5cff11138954881b02a68ccb9720d7cd1ad8517"},"sample_id":"sha256:6edc1ab13752217986fbcf674a5c9d56b095da2d4fe26d4412db7a1b41436986","source_transition_ids":["sha256:8dc48774675bae89a75def5c92b42a62690beb0b6316d07ee38172f9ef57f63a","sha256:2beb4b698b98391059e1834d93ddf3452b8d329eb5a020ad3ebf48ccfeec11c3"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ea591d53969d649371c5c130e0edf5bd80e66b360620f6d4be1d6dee8a7690cf","candidate_id":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","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, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8104fe13a6d2313b9d23aa44a3e3026a6491e6c2c4c6c40caad28019191561f8"},"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":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -4, -7, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:64e1af305fd9462fe52e6c6cc4dd8a817fae9544c8f5789983607ef70a35e86e","rejected":{"artifact_digest":"sha256:3d7ff05e977942321c4b77007152805d7a16e78a19f0e1405ecdc0dfb73f1591","candidate_id":"sha256:2c39e2d1080b6a01557f33858941c66da134c57ed23a47af1a0f52b579c9480a","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 = (3, -4, -7, -4, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:921e1a2de06c3f93a381b9fdb03ba6a6e1e2442693d1be15a1421185dacb0ad2"},"sample_id":"sha256:231f286c919e01a9dd23c7318116229905796d17e248b357249de7439ed96215","source_transition_ids":["sha256:8dc48774675bae89a75def5c92b42a62690beb0b6316d07ee38172f9ef57f63a","sha256:dfd9a7c99a4fab08dfaa55e3c3a321c6d77107eae18f83c68c0b72cb47f1213a"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:ea591d53969d649371c5c130e0edf5bd80e66b360620f6d4be1d6dee8a7690cf","candidate_id":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","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, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8104fe13a6d2313b9d23aa44a3e3026a6491e6c2c4c6c40caad28019191561f8"},"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":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -4, -7, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:02bcf7607283291d9941b67efcfb09d797317808f475aa3faf9e048dccde635d","rejected":{"artifact_digest":"sha256:7d96a0e2bac5b221c9732221e2b0b5520b731ecc4640fad9642513d7e7dd9876","candidate_id":"sha256:3bfea0a1195d91ca53e093fde78bf2c5983a8114de670cb89117d45e0c39b391","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, -4, -6, -6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:234a43099638ce421e809a8019d576eeb2d1b7cca71749404e2393fb0ca704a9"},"sample_id":"sha256:360b3435ed16642470fc3259a59a085b5aadb710cf0debd865ac70699b599c33","source_transition_ids":["sha256:8dc48774675bae89a75def5c92b42a62690beb0b6316d07ee38172f9ef57f63a","sha256:bd3abbfa97a3227727d43e636fbea05d8e66fdb36e8b13bc7b93d67ebe0ee73b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c455e7bd9729b2d8ca438f411e382d306c529bf09cfc6663ed14f05ecb9011b8","candidate_id":"sha256:28c91e734d3dffa212280af5175da937b596cfd8353fe62be56e302cf2aae781","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, -4, -6, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cbc25a5bcfc0b056ddae02e3ad866a89c5094c6e0d17c3640b8334c78d5788ad"},"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":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -4, -7, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f7f15df4bd86f723402b22d92dabec9a6e72f357538021b608a03b2cc3304494","rejected":{"artifact_digest":"sha256:d7f4fded8c4ae80f5286d49195da63969ba77ef167f53b2d07134ac41bdf1bba","candidate_id":"sha256:c345291ed393be9878eb9d50c0708764213759af5fb40dd3fd5932a965830813","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 = (3, -4, 4, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7139c205368c2c319d9e0a443c8b87495420654f20c7741e6acfaa89ee83bfcf"},"sample_id":"sha256:52e811bf1dabed645d3b975f3c626cb864d9eab2ffcf89c50afc233d9c0af274","source_transition_ids":["sha256:23ffbbfb39975e2e97395e5f294f68b6f91ec21c7b6c6dd0a42c2dd622ea9f8c","sha256:7dbf7d76e9daba72cb9a995c124ea1a7010b0436775d53cf05f88f584569b882"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c455e7bd9729b2d8ca438f411e382d306c529bf09cfc6663ed14f05ecb9011b8","candidate_id":"sha256:28c91e734d3dffa212280af5175da937b596cfd8353fe62be56e302cf2aae781","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, -4, -6, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cbc25a5bcfc0b056ddae02e3ad866a89c5094c6e0d17c3640b8334c78d5788ad"},"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":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -4, -7, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fb5f35df07e893adc80fc661e2b06ce622414f63357d297314b1a9dec086a071","rejected":{"artifact_digest":"sha256:fdff60165f3b9e27ef5314c27e8726edca39a5cf53bf1c2df31b30161d83d55e","candidate_id":"sha256:4b1a2868d05a62fc878a49356bdd7978bc11b92b22f0b2b5af5138c454254da8","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"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, 8, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ca6ba16745984c22275cc3ce1445e3318178b877d5ab678f5471e0afd79123f5"},"sample_id":"sha256:262c00fdea763225cc6486c024d96a596912ede1a0185263930a233ab52f96ad","source_transition_ids":["sha256:23ffbbfb39975e2e97395e5f294f68b6f91ec21c7b6c6dd0a42c2dd622ea9f8c","sha256:e6e8dd580cf2265a6ab41c7b5540553dc86bb6d638f8e472644829f5fe042141"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}
{"chosen":{"artifact_digest":"sha256:c455e7bd9729b2d8ca438f411e382d306c529bf09cfc6663ed14f05ecb9011b8","candidate_id":"sha256:28c91e734d3dffa212280af5175da937b596cfd8353fe62be56e302cf2aae781","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, -4, -6, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cbc25a5bcfc0b056ddae02e3ad866a89c5094c6e0d17c3640b8334c78d5788ad"},"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":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -4, -7, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d830b3034b313f240216e4e6e19feac51338f576f08270d2741443af768444e1","rejected":{"artifact_digest":"sha256:0dbcfa55bcccd33a9b0ee5d275c97db30eaed27505414e1f477987396aeb5832","candidate_id":"sha256:0e98f282caec7d6fd9ed05a801d0781d6961685ca5c481861537131f4af4d586","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 = (3, 2, -6, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:996a85d2230491a74d8a13d1acc28fbea05ef5cc1ce7d968aa7c58bd42de279c"},"sample_id":"sha256:edb6fb37b682448ae9e21b400505135ef268a2e9aad5baca8c83b0f91fc163de","source_transition_ids":["sha256:23ffbbfb39975e2e97395e5f294f68b6f91ec21c7b6c6dd0a42c2dd622ea9f8c","sha256:69958325e72e8f6070314cf314af0f74db20b535ebac600bbdb391934b108c68"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"preference_pair","view_version":"1.0.0"}