VLR-Recurrence-Verified / data /certified_generation_test.jsonl
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{"accepted":{"artifact_digest":"sha256:53ca47fe2449a8d0a9fc2598031be4ed85ea8054bb4ee77202f5cea08cba5440","candidate_id":"sha256:644d548e6a7278e430b2e556c5e94d2e05e61df89d659184ce921ec0df6a6e27","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-8, 6, 2, 7, -7, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:75487841335cf28c651b6d940bef528c120556dbeca65414375669a9f060f210"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:485b32c3d007f2393c48f24ac2379ef323ae621b3a665f01bdec659066bba28c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 10}, {\"input\": 6, \"output\": 8}, {\"input\": 1, \"output\": 8}, {\"input\": 3, \"output\": -4}, {\"input\": 7, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-8, -8, 2, 7, -7, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:da462d4af25c56ea9ef348a10339191e0f7627e71edde8563b33bf5fdc69f9ad","sample_id":"sha256:34bf38edefb734ba5bb3a43a21fbfd8bea41d2469ce37d80236fbc970b05c66a","source_transition_id":"sha256:eb9a5617ad03f14e5547e1a8370efedde0305bf4965c635c830fcd0ee18848b7","split":"test","step_index":1,"target":"def transform(x):\n table = (-8, 6, 2, 7, -7, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000008","trajectory_id":"vlr-formal-v2-0000008-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bb7a808fd51c2be46e811b5496f8be5a30c62e36ac2688383fe0837d4e32eeec","candidate_id":"sha256:7356decfdcfc9d79f01b50421522f16c01bc8a3b40691265c18ec9abf14a792c","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 4, 5, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:8b5dca8689dd2754b7882fe6c7b2b1dbbb18152d2ebd7b63ce7218e1d2c99863"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:3bbea6d6d9284be4d266421580e3b4ae5a1048cb7d21673fd971006018346f4b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 4, 5, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bdf7b299e14de86a43d03f60977138e6b46ed851dc1febb78ce7e01ba10d0c3f","sample_id":"sha256:77c93ed24678bfde830e9bf45922a89fb8be0aa9797ded158f25064c4c197a92","source_transition_id":"sha256:d3bc011e7c7e29a6cf3525b8ced1a60915f5ce294c2753dfe87c36fb2e528a2c","split":"test","step_index":2,"target":"def transform(x):\n shifts = (3, 4, 5, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000009","trajectory_id":"vlr-formal-v2-0000009-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e8833636eae8d6f95d79d8daab9fe71c89c385d899b333c66cb916f80613f3aa","candidate_id":"sha256:3a494c0b6bc98cd56ee0b2d7e0bb0443763329ca4b52fdffd7ed9b0501f69902","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (2, 8, 0, -3, -1, -8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:145689b4253f4ec4b00dae68fa407bd2f68051f5a31668c61e385b319e59a470"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:2178313b8e186c3bcc3ca81584828820558f8284a7ae968413856068974f75b6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 12}, {\"input\": 6, \"output\": 6}, {\"input\": 1, \"output\": -2}, {\"input\": 3, \"output\": 2}, {\"input\": 7, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (8, 8, 0, -3, -1, -8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cff5aa8ab8cb51ec754012dd96c3cad19b4ad95e180dbfb9e649e44960acd765","sample_id":"sha256:61757783c2155f6d9ed549b1a3f9dbbf36a2a7d4b8d3f3dab22f79ed59ba2644","source_transition_id":"sha256:c8e94042d48c67a490695ac7eda125e00a3a0b5621673fe001a175144f13a545","split":"test","step_index":1,"target":"def transform(x):\n table = (2, 8, 0, -3, -1, -8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000018","trajectory_id":"vlr-formal-v2-0000018-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:be90fb8334a93105fc19df7e71cca5575e6d7e0176870610a5299b901aa6b3e0","candidate_id":"sha256:6781a66993f40cf22f7c946b25f5b9cdc498ed74a644baafee196ff13de891ed","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 2, 5, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:847797d1f0972609946fbce805b2ad6a41e94409e1bd8366836fc696e3e111ec"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:b69861331ba9740aa7308132a2ecf026b8f37d492d9e9552c62a3c71285c480b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 2, 5, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9939d3f1b235b3b95799bc8ff413ad3a008afb86bc703fb8a3ba565341a21235","sample_id":"sha256:83bf38658c6afac0e7acabb65edb31c54f2b4f916ee762635da515414fe124ce","source_transition_id":"sha256:4c909b6baa84d3ddc57236f265d6319758d66bf49c5ac0721b0f89a13a87c5a0","split":"test","step_index":3,"target":"def transform(x):\n shifts = (3, 2, 5, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000019","trajectory_id":"vlr-formal-v2-0000019-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1278780592167dbc0630320c8d737ea89a96877879563f775c2fee0ff8ffdc48","candidate_id":"sha256:f6ef2486e55c70719b34afd2888d17851fc0789e567138cff6c7563da4ce890f","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (8, 0, 5, 3, -8, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:4843df57b96ab8ad9a3ca05a3fa5f90fc5a0d0c22b75f912a7af0624858d8ada"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:9b5be6c6eb0f945c7a92e07636a109aac8d52fd313caa5172a9d4f4224d94d86","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 4}, {\"input\": 6, \"output\": 11}, {\"input\": 1, \"output\": 4}, {\"input\": 3, \"output\": -5}, {\"input\": 7, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (8, 0, 5, 2, -8, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b805bcecea1af8d64673d6401d1e2b1d959328142e8d94213b15b8f8fb42ecc6","sample_id":"sha256:29b704aca29acd4dfd30a86277f9d3f35cd98a316b8f625175a57787b2e842a2","source_transition_id":"sha256:002c1d793f3ee5e5b10578777950d2113560aac7858fb99234b130a84aa9a852","split":"test","step_index":4,"target":"def transform(x):\n table = (8, 0, 5, 3, -8, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000028","trajectory_id":"vlr-formal-v2-0000028-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4463b99428fe6b4a304c7b04956c23f2cb32590cfd875b8c7ac551c58e39f272","candidate_id":"sha256:889740497508ffe140e861fb3da71e4e075250047d157d5cd6a2ddc367a57192","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (4, 4, 2, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:ac5f2b50609c6f6e293c8f3083844a0cacbc2e8fec0ae05ade368534628204ac"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:9d8c3d8974d1a98a511f3d7cc90262eb7dd542204fd6090be46e748d29206612","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 17}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (4, 4, 3, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6915b58649d180502ff274952ff64ec19733e7d7f5d5a828cc909125007171d9","sample_id":"sha256:32e7183e459c07e7464334be274ae4c499bbbfe6966ea886aa65369fe4960f7f","source_transition_id":"sha256:0112f4ee9d9f8a83be05e1bc91e661629fb743f5a84a6488d94d62ab070822b6","split":"test","step_index":2,"target":"def transform(x):\n shifts = (4, 4, 2, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000029","trajectory_id":"vlr-formal-v2-0000029-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:103f776526477a85410b40f2e5634438270536cf736e75a276ccf7aa46b7e3ae","candidate_id":"sha256:eae37a2caf973ed3f19c5f0dfd0848d0c3f2e4867254abe937022524e62b0f4c","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (4, -6, -6, 0, -1, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:49be95bb891c454004f9b79b12ea93f85689295fd438e5990bf4f4d03d7a4c52"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:6b2ce9060abad53367fdc514108c92b7f049872f808dda673871f0be3ef22a8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": -2}, {\"input\": 6, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 3, \"output\": 2}, {\"input\": 7, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (4, 4, -6, 0, -1, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:237d5f0e3805b057b23676c8b1a7be132f0f4997404ead8ce20f8e16f543bf98","sample_id":"sha256:817a30802c1497013ef352439855063e391be478d4d0f1bd359bc76658e3a175","source_transition_id":"sha256:b7e04a12e6b594a874de59c9f82e253df18ab1b86fcc64b67b054463c2fb76cb","split":"test","step_index":2,"target":"def transform(x):\n table = (4, -6, -6, 0, -1, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000038","trajectory_id":"vlr-formal-v2-0000038-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8e469b00e91cc1af451a54b6f72cf6a6e60571d020140338d779afd5002fd951","candidate_id":"sha256:b179cdbf493a3d38cbaf30696690d0a62ae91a3ed26d84ecd6deab89c226cd14","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (4, 3, 5, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:45afb1d90adaf9928bb8c43285205c178cc75288d367db68a1ad2d131b7e22e6"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:7c0120d42e8827ea16fcb8d5836f301451313199f0932a5a2cc304755bb9693e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (4, 2, 5, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c3400b53482045ce0c315a2e0fc24f4b10f62191c8b2ee079b72d29debd8215f","sample_id":"sha256:edafca434e058cc9157fbb42a25088472c9f7b610c5242dbd260cc649c910784","source_transition_id":"sha256:59ed2b0a75913e0d8c275b997bd44c2943190f1f238c8df6e1445b7040eae1e2","split":"test","step_index":2,"target":"def transform(x):\n shifts = (4, 3, 5, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000039","trajectory_id":"vlr-formal-v2-0000039-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6736c95262ae337861cc743a86b804aedf997bb7657b7d063291e190eb5f3c2d","candidate_id":"sha256:9f3e98f8f52ede47d56972b960473f4cf6de78f6489e8b44960dd17616bd1a6b","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (3, -1, -6, 2, 5, 8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:f34ff4904312b7b792ad76f07decf14207145d8548384a3a97a4ba8b81e5243b"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:acc66c84e648978e9d87937504eda9be5fc07035e695e6b4f7d9b22cc8be6048","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 3}, {\"input\": 6, \"output\": 0}, {\"input\": 1, \"output\": 3}, {\"input\": 3, \"output\": 8}, {\"input\": 7, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (3, -3, -6, 2, 5, 8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8971a3248b20bc30b05fa0f4be6f637e0c38bbe377c2e98fabf40b58fed22999","sample_id":"sha256:e7680007bdc3889efbf0080a68ac88ba5a1f74004005d5d64116e9abb2bf0469","source_transition_id":"sha256:ef26ef9fb831c74758aa765965c58d741bb9c61b4f18009330d3216c9a05a87c","split":"test","step_index":2,"target":"def transform(x):\n table = (3, -1, -6, 2, 5, 8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000048","trajectory_id":"vlr-formal-v2-0000048-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e8ad230f2f9355d616436824b8dc402dd0d2150da698bdb7215b743a85c81379","candidate_id":"sha256:f5820d87779c92a0ac69e60f06e7a5235b81e6e80e6300e29f110ee908a6a898","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (5, 2, 5, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:cf92e1dcc6bca0646ececb5936036478cd7ddf9ec2a882acbb8b561e80c17ee1"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:34f616affdb95bc368821730674cb4049b6f8289d0c9f416624e5c31bea4fbdc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 17}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (2, 2, 5, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a61371a96238a26f8234967c58a2e30e68d4c9dadf7d636d69282833646c762d","sample_id":"sha256:80a6c928f0c2c603964c6d6fc37d5fe99d9e9cfdd36a6e246b2aa71680c4ac3e","source_transition_id":"sha256:4f256cc547a4b362282c80f99166c5da3b25789d62da140de85bced880fec00f","split":"test","step_index":1,"target":"def transform(x):\n shifts = (5, 2, 5, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000049","trajectory_id":"vlr-formal-v2-0000049-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c1cdd18aee60ea7612bd9c39af9e723e916ceb7f4a85be2fe09f85cee01abf05","candidate_id":"sha256:24912e24682eea6aee757b52b14e84e54494731859b9a2e97cd7b34d8db173d9","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (1, 8, 5, -2, -1, -2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:3e218d5c812a5536c01f16074d220b5f5703bb08e7f1a076e8dde6fbb45efe40"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:9aad0c1448b28926bc3ad78bf05bcf22875b778f18d3e17da740bcb420e20396","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 1, \"output\": -1}, {\"input\": 3, \"output\": 2}, {\"input\": 7, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (1, 7, 5, -2, -1, -2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c3f18136f3cac38436fe024078ed61a589be488c6f19fcc2b7708d3ebc77f7f9","sample_id":"sha256:abab1796db57f8ba352033d6abf1ab7d880e6197c007058afec109d8053dca8a","source_transition_id":"sha256:c4387fdf701579ff7b27a30868cfdc5d77204e4ca5bafa532c0f399130cabf45","split":"test","step_index":3,"target":"def transform(x):\n table = (1, 8, 5, -2, -1, -2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000058","trajectory_id":"vlr-formal-v2-0000058-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8c519cad938722030da893c6831fc9bcdfb179928c3d95c8c32eeb2221eb5fed","candidate_id":"sha256:87266e1a8079841869964cfacf03f49b09c92810178a46d89e8846356d08461d","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (4, 2, 1, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:efbba54e432aacdd4305fe6a48d771315be75907f33674e4944b48f549f3be3f"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:c41130d494cd2ce082540fcf8de54f7c4487fd0731a9b9cb8d46b7714a652b8d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (4, 1, 1, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c1cf421abcf03f9b15498e0631c66b46ed0880ed794241c6c337d2e7ac13deee","sample_id":"sha256:6af9c70345cd6aba373b818e42de08a4b09fc373a59b7161a53f596f0d0dfb0d","source_transition_id":"sha256:cbc4b87222b99e98c965f21113216b04a5b438c4de3cce4897b9aa7324a7d27f","split":"test","step_index":2,"target":"def transform(x):\n shifts = (4, 2, 1, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000059","trajectory_id":"vlr-formal-v2-0000059-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a9ca0905ac2dd54a277dd2bcc3b31340d495f104e49cf28fe52184b7afa3c44b","candidate_id":"sha256:11b0a9deda128a95118c1e74be0af607b9b77253f24c1ddad674214cb6b754b9","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (4, 8, -1, 2, -7, 0)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:22f7b460e2bacec8a4c28b8d37ae52af185a58a949838a3e184302b7b60dc757"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:3bb685610001606419b748b89587b1038b466e2ba80909fbafe7f71f5ccc2987","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 12}, {\"input\": 6, \"output\": 5}, {\"input\": 1, \"output\": 3}, {\"input\": 3, \"output\": -4}, {\"input\": 7, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (4, 8, -1, 0, -7, 0)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:81f675e8ed2ce635d256962b76981dca0a52e3497acb735d44418afdce358e41","sample_id":"sha256:0f2d09844784ff014afd6d37da7fd5e9ca09fc72b0866f3e9edc86dfa96d335e","source_transition_id":"sha256:0940665a6a2a1fcc52b9578edca7d30503b64f1177230286af48ede2136102ad","split":"test","step_index":4,"target":"def transform(x):\n table = (4, 8, -1, 2, -7, 0)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000068","trajectory_id":"vlr-formal-v2-0000068-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1e46b4bc940c8bc3121227825fdafc28e9830933b4879c1a09172fb86f3f1332","candidate_id":"sha256:17067b88bf0c6c0812ab3f5733c8cebf4af956c954198b8bdb7b9dcf5054fd2f","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (5, 2, 1, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:9b8da3bbfc34ce54bff1187e0125bbe9b0ea1371ebbd29100a84dd475a5a3486"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:63022a86295b9fd1f7b43701c84371f6a68497df4165c4c65840ff730ec21ca9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (5, 3, 1, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:866f01de78ef746a0ab9457264f9e198bf6a08a29e370c3fdb259f46d329f4ba","sample_id":"sha256:d3b6be17c86b64c957508bfb94b48f3bedec6a345e2b2bc2f881c2a0331e6c6f","source_transition_id":"sha256:1c256f06818d1e2ec001b90c6146f702ce3b07126a95b52e231030dd79462a1a","split":"test","step_index":3,"target":"def transform(x):\n shifts = (5, 2, 1, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000069","trajectory_id":"vlr-formal-v2-0000069-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bdf71b3b064812dcac59092fd53f90172e27862857d3d16d193271e49094921d","candidate_id":"sha256:479ec3db2d52d43e6adc69d005f34b177d9095c7ad23138a25b70fd3e9313604","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (8, 7, 2, 5, 0, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:4403261990a71d530bc0a285177b5874c9d2ee289f942cdf66674daf489a2fbd"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:87d5bc9e94a071aad4787d4a9462dec32e5042a1d9ff29e165bbdfc7d3482c53","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 11}, {\"input\": 6, \"output\": 8}, {\"input\": 1, \"output\": 6}, {\"input\": 3, \"output\": 3}, {\"input\": 7, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (8, 7, -5, 5, 0, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3e757c5c761e38070b9e6290d802166eeafe7a8149db06bcc15b41dd4834c49d","sample_id":"sha256:47301c4a30e76f490c672e0dcf50ffbfd0d93cfb8c31fdfe09f1aed4a4c87bef","source_transition_id":"sha256:2e6c0b6b44ccc725e763b1c431e02e6e96dff77f66951c3636dea9baa6f9320f","split":"test","step_index":2,"target":"def transform(x):\n table = (8, 7, 2, 5, 0, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000078","trajectory_id":"vlr-formal-v2-0000078-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:12536ada944709648b16e202988047584cd1d53f585c85b7f0bcf75922b916bc","candidate_id":"sha256:fc4b83635b7bd0ec9448b5fed51e5bfedc9df0354f8b1c1f8d914dd10beda5fe","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (1, 5, 2, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:5286673b51ea59dbcd4392d9d4ae7a32740f2fa77e10ac1a4bd45e1d15f6bcdb"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:a6dcb069a4a6de29dba958dab9f291d474f060220d807fa6a3d1727b46e68020","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 5, 2, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4164524dc6e3d72a68da16a9ef9060182a436d0b1c04ff5063a1f53be9985afb","sample_id":"sha256:5e701eb1109458940324a37627cc0736b0becd8d6b797b503b132dcac70dc2d9","source_transition_id":"sha256:7de33b88efd10f95eb208952af50273a8d3c5a603fbda12db2c781df2873eb55","split":"test","step_index":3,"target":"def transform(x):\n shifts = (1, 5, 2, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000079","trajectory_id":"vlr-formal-v2-0000079-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:90bc35e0396e3788cd0ef551c08417d4492646522785c8271f1d18a5ad3f4f5a","candidate_id":"sha256:f272307da6be3d5c00b41b8a7a20759b76a581110213998313dac8cff85d69c2","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-5, -1, 2, 6, 3, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:10f3d1171d23217cf1098a1c29ff262fa46ee6074994068dd249fb5d7670fe36"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:68fb9f5e758375e174f77d4405588ba18968480fbef7bcbae0d154f9acc77d5b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 3}, {\"input\": 6, \"output\": 8}, {\"input\": 1, \"output\": 7}, {\"input\": 3, \"output\": 6}, {\"input\": 7, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-5, -1, 2, 6, 3, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:570b63c0c6da86685fa13065612c225b4f51a4d5c8c1b5507035ad8c683865f7","sample_id":"sha256:df98f38ef4bc4e7c865744dbdf4747cdf4e0e3758396173d6ec30fe8502d71f0","source_transition_id":"sha256:c0a4d17d93727017ed04114cc51d53679dd71f1361c6c9e4b7d06994270014d2","split":"test","step_index":1,"target":"def transform(x):\n table = (-5, -1, 2, 6, 3, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000088","trajectory_id":"vlr-formal-v2-0000088-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c6ac29bdf10d60ccdce993d78c758a40087ab68ae006fa3ca5edc866f7780fa3","candidate_id":"sha256:e5fe81bac9751a73ebc64bb3adb0fae7e31deaf40b056b12afaeffe655c9ab6a","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (4, 3, 2, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:1377b5c1bd9bc3ca2edc85cdeec013c72a8517db3a970d06530594383ac94fa8"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:5d8d2fccec976d05cc21bd008a784702ec546541692e310c0f5d62a4dd37829f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (5, 3, 2, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:35ed862e8aa3566f20a496727c0bf16b448614251879195d5cf155464c988a3b","sample_id":"sha256:508697d5b67b75607e87d913839a71e400cdd60b74ddd2349b55f520dcd640e1","source_transition_id":"sha256:9f2bf60cb98fa1c8f42b88ff4d049191df68867d3760ba3b1236dde50f9c8b22","split":"test","step_index":1,"target":"def transform(x):\n shifts = (4, 3, 2, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000089","trajectory_id":"vlr-formal-v2-0000089-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f5736890ad3499a66416735d2355f30211f640ed1abe14cd12154957f81d3365","candidate_id":"sha256:c63e4af7e8ba77aa2acc88fdf76d7f3e443fed6b0f47124710faf2fd087a28a6","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (6, 0, 5, -1, 5, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:7dbb35d9317d0c30ec83b70ce9021b63074facf8d31028dd037bf868375e00b1"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:f9e3d0f1025ce7357d1bc5c798197db08f0ceba0819dcce37a3d7eea78e01191","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 4}, {\"input\": 6, \"output\": 11}, {\"input\": 1, \"output\": 0}, {\"input\": 3, \"output\": 8}, {\"input\": 7, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (0, 0, 5, -1, 5, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c0864c5c046caa876f5a6439339997b0522173996d8e6b1b4890968f5f8dbc2b","sample_id":"sha256:f5c3f96d88bbc313b85d86a492f2b31aab54a041b465f7b2587ccf5855da3fb7","source_transition_id":"sha256:5063dabd586f6b8416c101785bad6f62111e21d3df1a265c452210d1501edc1a","split":"test","step_index":3,"target":"def transform(x):\n table = (6, 0, 5, -1, 5, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000098","trajectory_id":"vlr-formal-v2-0000098-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0decb4ceb2dc2b6134512505dd21e4f18e5e371769518672baf32398b58b10e7","candidate_id":"sha256:53c721365e4864bf795650e5fe578bd6769e2e0f9090731932d5dd247f5e7d5b","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (2, 5, 3, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:55347078390bc79877480ffa75b69d997d84a77f9eb7e8a4a65289c18750bedf"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:20bb8ca251fae418fe7b44346b6101d87f9c883c683be9d1f6b4957db59c91ea","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 17}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 5, 3, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7d911acd355e027a8b1fc6b171f49c2f1e82b8f5fe5886c763ead149b7c64b02","sample_id":"sha256:b1410497e7a93624f5d82bcbc530a58099a810a931993f9bac9005128b9018f1","source_transition_id":"sha256:710872f92fc9cf608b1b5f4d5d9325fb628c16e2a890f959bd3589de1431ce27","split":"test","step_index":3,"target":"def transform(x):\n shifts = (2, 5, 3, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000099","trajectory_id":"vlr-formal-v2-0000099-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:55035c5afcf793465e603e170427e3b1c421e9d7e15e3f353e2f93bc4d249cd7","candidate_id":"sha256:b60944cf9c0391e43c554ec99fdb05f5bda0de6939817a91019ebf007db4d88c","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (3, 4, 0, 4, 6, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:f90bd6cf1060065d05772513c80fbfe20727e5925ea75a1971d4f9e71a46493f"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:f543085b225199d16cdddca56ddd0eca79bf9e28f1d892a4425f36f5db88ecf9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 8}, {\"input\": 6, \"output\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 3, \"output\": 9}, {\"input\": 7, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (3, -8, 0, 4, 6, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b5ecfce3dd4dda7f5fb1a4d4362e3e4ae1106518aca466747e1762359b8bc71c","sample_id":"sha256:c802657e3b3af0c5ef5ec8b2ff5548615e6157a2a192a9675be107f5a1ad0a29","source_transition_id":"sha256:de454d707dea11bbe041be9058715d4383305ac6079bc270b926536765e38bee","split":"test","step_index":3,"target":"def transform(x):\n table = (3, 4, 0, 4, 6, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000108","trajectory_id":"vlr-formal-v2-0000108-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ddebc6a743d89e6ecab3bb47fa7e181e3a41fcfc7d0ea116cce0afa4b014a741","candidate_id":"sha256:dced7eca2b19c0288e97119de26fe18aa64cc1e7f2faca93ec4c9938275868a5","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 2, 1, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:f5e97778ecee81102becedc7a2451e8bcd527b7c331b8aa3e72166ac9d508826"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:c51e3aff44414859bb9460938686964fadfd361b084dfd7390a8b295e7d8c43a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 2, 1, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cc57cc25285f77278d700e2afc932d79964bcd2e5ff2f1ed93c8b0a10af6f73c","sample_id":"sha256:03d98a1b8f23abd6d83b98946503e92f935faab4eed9999d3586dd55bc5e2d60","source_transition_id":"sha256:58a6fec544e26eb3440c5e2dd57e27d31c24080bb2a4c96b7e9e84b33e524402","split":"test","step_index":3,"target":"def transform(x):\n shifts = (3, 2, 1, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000109","trajectory_id":"vlr-formal-v2-0000109-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:eadc4e3187d36d426bdd8dff2261c6db59909c9dc75ef88c8f2529f435494eee","candidate_id":"sha256:aaa1b3dc2d6fd14fbf0e6cb9ef7d31c9adb608f39e5c8dbed9907c9037730385","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (7, 5, -6, 3, 2, 4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:54b2cb60d819c50d921eb7c191c3a0d1e7680df91494de477a5a19deae778d61"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:0cfe111bd4c7ed8e98448764c31dce7d3e3cfb5d5559d5bbe32310db39d4e814","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 1, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": 7, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (7, 5, -6, -8, 2, 4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c5d5b2500eacb8c3c4e7bc103d44a15a155406fb88740338669589aaa250c2d3","sample_id":"sha256:efe2fa20e18a027fab3d09202fac6abc491b830a5d1ca61fc3d6f5832b9a594f","source_transition_id":"sha256:1d6e843c2c8e8e83fb3e3630c73ef2027cbdc248c26e30c3e48077cc17102952","split":"test","step_index":3,"target":"def transform(x):\n table = (7, 5, -6, 3, 2, 4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000118","trajectory_id":"vlr-formal-v2-0000118-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8e4724b42f4b0239753edff665e10f4e04d07f61ec0d1c7d8ceb1febf01bc7f5","candidate_id":"sha256:f873bd22f36abfb30811c8be4d6d49eae834ea5cfc25c7e8cf32e92b33e70853","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (4, 1, 1, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:0dc4615aa86f6fdb0c14cc6bc0490126c3eebe3a475e9306c1284b4eb78559c3"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:db89a0435dc5f8618e6800ee2496ab6a101b8515941a36f2adf6327acc522d4f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 1, 1, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3078cf1f6985b39ece959c364e26df75182bdc880ba32482a55fbb152da6edbf","sample_id":"sha256:e9a6409fce21ba7c8fa4827bfce030c36b10a385b59eee6934b0be310dddefa8","source_transition_id":"sha256:b483aeedf915b7acf2ceee2406bdab341c97af3e856745f27dcb329434e3ffab","split":"test","step_index":2,"target":"def transform(x):\n shifts = (4, 1, 1, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000119","trajectory_id":"vlr-formal-v2-0000119-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:42120b30d017bd105477aeaff838667a597928f70f54344f66dd7203dfa31f82","candidate_id":"sha256:e1d7195c695cd85614c10550b04806b664cde173d99cb04bbf7b17ed3f111afe","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (7, -8, 7, -7, -1, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:5ce28fa16c801ef806130e138c8b2e0c15cb4c3d80052b1359e3432acc08199e"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:a077e455f9dfc713dcd4616814c8b504ab1e5e820b0da9aeb8c314cb96766d7f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": -4}, {\"input\": 6, \"output\": 13}, {\"input\": 1, \"output\": -6}, {\"input\": 3, \"output\": 2}, {\"input\": 7, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-6, -8, 7, -7, -1, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:259c581f76c11e4e5c5d5986ca94a6994b61fef1f490d7829832e0f35b92f9d7","sample_id":"sha256:d14e8b57c737d11b51b685e29d34c64bcdd73d180dbd7eca430f11b30e459de2","source_transition_id":"sha256:269e69fdaf3111f402f12e5808dd6c9401428efa3a2a007e55d9876ec830c8a8","split":"test","step_index":4,"target":"def transform(x):\n table = (7, -8, 7, -7, -1, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000128","trajectory_id":"vlr-formal-v2-0000128-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b9cc17a4e0f8af0b0ed898439aa834ac196f1eb7f06ab30e84a072837d73a26a","candidate_id":"sha256:0423f0cda86dd4b7007b650efff3865cc177610a8a92e35baa032d22d3a7a0bb","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (5, 1, 4, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:2be3b52b97623e66572f89e0ab4a6563e730cbe4de4e49d335847e5c681e2095"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:15ddbcb5d10ba3003cd8e6f1cbf94db1bad014f028d84639f5d5e03154b8ff3f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (4, 1, 4, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:acc0115c1da6a9e33746ca16d412bcbcde93b6d688de3890166883e4465f8c24","sample_id":"sha256:9a64c9a2eb2b3b701dc80dd6cc30cda84c841912757af765a89198d8bcc7d45e","source_transition_id":"sha256:95f66e4f04eb6c4c980ce3c35d6661a436be3e4d4a06cdf1cf25ddf0ee06ade6","split":"test","step_index":3,"target":"def transform(x):\n shifts = (5, 1, 4, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000129","trajectory_id":"vlr-formal-v2-0000129-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:239d74399d5d377bf30cf5132d07a46d700940c1ab09b08a596cd2ad5eaebd82","candidate_id":"sha256:5815c3e4cce026bf0aeddb2ac01ed10dd2be15c8389d0c12afafff1825627c3a","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (6, -6, -3, 7, 8, 7)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:2516ac9856da3e43959c470d3a5751018603672c44a761a1a6b8fbcb7356b4de"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:58cb6414d28ea0a770c4f3527c0f508692f57d6afc6370f888a2efe7050de836","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": -2}, {\"input\": 6, \"output\": 3}, {\"input\": 1, \"output\": 8}, {\"input\": 3, \"output\": 11}, {\"input\": 7, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (6, -6, -7, 7, 8, 7)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:96f98edec7894401df2180ffacb077931ea5192f06a3d46c3ef0f280538dce8b","sample_id":"sha256:6b82d088e5cf5ef39a7f94d7d5bca60ec81a3045bf7ab89013a6d777f5a4e738","source_transition_id":"sha256:7e23533e65b217d2bd6e7ed20518db6113c04c86e4ac6dec41db20f4faad7168","split":"test","step_index":3,"target":"def transform(x):\n table = (6, -6, -3, 7, 8, 7)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000138","trajectory_id":"vlr-formal-v2-0000138-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2c2ba1ac10ff7f43eee7585a1d4f22023d8b14f10fa5811bd589515ea0f5aac4","candidate_id":"sha256:cabd2b80c1d0e1d7217e2b79bb77df5ff966ddc63de37f454859a26a4b8fe9c0","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (5, 2, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:bc658da21924e40d02a90b2e22464bb2bf63c5163777d8816ac74146d3c84eb4"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:e8512b009c3f643faa300b28adbcf53b19354383551178751bed0ea31eba24bc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (5, 1, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b83c25cc89d9e72ad53afcb1ef5a277b424f62913d45ceab3b8246720201a528","sample_id":"sha256:88fa648741c91c2385f8d99582d5a814cbc0198c337613a2aeec4191982e4793","source_transition_id":"sha256:1a5b33ccee65d9568be00f262ac4b152edb2057c0a0348b63c18b6c4e39467c3","split":"test","step_index":1,"target":"def transform(x):\n shifts = (5, 2, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000139","trajectory_id":"vlr-formal-v2-0000139-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:468a1e26991cdcb4fc23b2130de5a5c7c79a8028c2564f284860030bcb88b2f1","candidate_id":"sha256:ce5be81ca9e0e4a8025b007703998a78ed457efc1152630078f8c085763d8251","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (8, 5, 3, 4, -6, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:572aff93e154571c8776671c6dd797d421c42a87da645106c932611bb0621a19"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:f2a3f3960bf0d5f89341fa87ca497e89b590d640d597b234e8c31c3926872d8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 9}, {\"input\": 6, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 3, \"output\": -3}, {\"input\": 7, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (8, 5, 3, 4, -6, 4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4e528def28e7d84f3b8bfafda8471daf9544d62e8b4cefa0db1374eb4a94194f","sample_id":"sha256:8468dd59c7b31ea752723936f57b45b3126bbda0dfd8e55a90f7920764f34297","source_transition_id":"sha256:4caddaf06949ced876cea054832cc125095ae99f15568963857d509feff1bbbc","split":"test","step_index":4,"target":"def transform(x):\n table = (8, 5, 3, 4, -6, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000148","trajectory_id":"vlr-formal-v2-0000148-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:aef02a8cdc8ab4c0b5eebc9b88bdb8ade289857cc217a96ffcc54b3a8bcc0e65","candidate_id":"sha256:46566f822e4ea8b6a8faecb651d141067b9d303d5cdf0eb1334b8e3a52c0f646","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (1, 5, 3, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:b07be796ed8a5656ec85ffef46366cc67b2e9ef1500846af9275a2d1ddc0ddb4"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:f8b8c99dab9e455ae9f297dcf0432233ae7ea18a023bb9004788214c25caf15b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 2, 3, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b0dce7a5870eaabeef68165119fe9309556817e53e59fcb20eba3a96328824f7","sample_id":"sha256:93709158f6cbbe6092bf982cd039f242217019dab123962826cdbe4be6575ee5","source_transition_id":"sha256:33aac083dfc887193a943bd9ae69baf081e8e0a2dd77396398ba9ccbf85f9f37","split":"test","step_index":1,"target":"def transform(x):\n shifts = (1, 5, 3, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000149","trajectory_id":"vlr-formal-v2-0000149-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:aae93672f56727812f6f9de3f85537b36890ae724a7c2b18a5f6fca47cda630d","candidate_id":"sha256:4fa4c2f16a47bafe1bbce4926422a0ef57463a5713765d89cdfd725692712131","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (3, -3, -1, 4, -6, -1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:50047161efbc14cdb2ca907fde3533369978a1965e2037906498dccf1c485cec"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:c884fd1ef72eae3d7d6d410ff1df74a1aa527d2dc15122f029d3014cc48db5d6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 1}, {\"input\": 6, \"output\": 5}, {\"input\": 1, \"output\": 5}, {\"input\": 3, \"output\": -3}, {\"input\": 7, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (3, -8, -1, 4, -6, -1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d78015545e6e5794ab3e9ecb9930177449451be1d412b61198a18d0f3f97a6b6","sample_id":"sha256:a1036fd30dc94ec19376200a1ece09158b8cf9f8cce0639023ee32bfece71c0f","source_transition_id":"sha256:f8b6c2b95a5f6ecb4245b743427fdd9cb2963a35ce25880a6c6ad6228c27e80b","split":"test","step_index":2,"target":"def transform(x):\n table = (3, -3, -1, 4, -6, -1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000158","trajectory_id":"vlr-formal-v2-0000158-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6feeb42284b2c76354fd173bce0a3dc27bd461c50d470dcabbc1e83686ebf7bd","candidate_id":"sha256:8f0f7f278fbe624cb7bf38320cc5845b86ec2ac364d71b8be9385623d09d9536","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (5, 3, 3, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:8d808682e6ecc4b467fbd39f139ef1a7c0b64cefafba0951b8235fc526d6e1c7"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:805063344dc045b16adf8b1f16df74dad971e3fc7d5868427b7303a1e7dfee6b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (5, 1, 3, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:39e78ec74a3cae877b1c4834201c4bda8139b95db3c2f3f6b0d18b3b5ac535de","sample_id":"sha256:2b922bd9721388795b2f8eea02fb51fe8beb24c53c9a5c5cb3a0dde3fcec50b4","source_transition_id":"sha256:26294473db658d4c50cdde895b7e946b8504d7b8d99c4135281149930b8e15c1","split":"test","step_index":2,"target":"def transform(x):\n shifts = (5, 3, 3, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000159","trajectory_id":"vlr-formal-v2-0000159-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6b8b75f0843138465ee2f1d0bc9590c435b9b4d592eefdf5d29505e944c3fbbb","candidate_id":"sha256:ee3557ca12dd70caf825e299bcce7ad4a440de24254ebf74d7400edb9ce35518","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-8, 2, 1, -7, 3, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:09c6e1922c459e1fbec2330c8a285e170a54e555c28a523779bb3e9013f80e14"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:573c44598c1ff7cd4d5b661ca4f25095b53ce97d458ef2fce79cef847280449d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 6}, {\"input\": 6, \"output\": 7}, {\"input\": 1, \"output\": -6}, {\"input\": 3, \"output\": 6}, {\"input\": 7, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-8, 2, 1, -7, -3, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c52539b84a0aecbe206360d6af7223b643bd492084bf702d9715047fbd1bf147","sample_id":"sha256:bb51e7cfb1d8109c2510b159301c3057289feb9f1c4a906b48323a813ac7f111","source_transition_id":"sha256:f8c5688648c249f957edf29d0e3350e363b4acca91af67d308c15431344bcb77","split":"test","step_index":1,"target":"def transform(x):\n table = (-8, 2, 1, -7, 3, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000168","trajectory_id":"vlr-formal-v2-0000168-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:4ab276bfe50530c0a43325f5c0cf2ba312c149f7391422469e6b77180fd0444a","candidate_id":"sha256:eccf4d1df1b26dfa58127d651d35dc33add7396dbb40054524c44bf55decbb7d","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (4, 4, 5, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:807dbedd9e6606db0ea1b69ae08dc3ade988648d5960fbbfda31d63ef3e6ce22"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:2ab8750f300b99ed8f07da1952a512950ca49e6b3161c7ad5c7d517e448fea20","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (4, 3, 5, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fb56164ae31e2f0213ffe37635e61259c95c43d0d217592a4c1e3958dc521407","sample_id":"sha256:21bf91b9aaac9d5179ca1f6c9f152758897b1bd2cf25fa26de84b58054cfafbf","source_transition_id":"sha256:3317d4ed409d03cf8e8e82978155bbfb5cbc795f1e5c53e947aeb808deaeecfe","split":"test","step_index":1,"target":"def transform(x):\n shifts = (4, 4, 5, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000169","trajectory_id":"vlr-formal-v2-0000169-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:acc30a8d0fa3ba97e609b29069764b857b3fe3a403109821a76f84b441e562da","candidate_id":"sha256:761d3e3fa501a479aef157d9f9c09b6f051f77cab4ea48d72cb8a25431e41fc4","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-6, 8, -8, -2, 1, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:918eff0dc4283fe7e35d7a5503471d728c5f2da8bb164dc933e1a7cb6bf56afb"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:6f165519b8f10ccb3102fadb33e15fa7e77659d8c99ee95eaecf001e13cb2468","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 12}, {\"input\": 6, \"output\": -2}, {\"input\": 1, \"output\": -1}, {\"input\": 3, \"output\": 4}, {\"input\": 7, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (6, 8, -8, -2, 1, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:77d61b9b61865f7cc1581cc6a8c45cae172d57b8822b99aba63c50a3b45cacf1","sample_id":"sha256:480144ef8e3846279400b56162822cc6f457d9e2dadf0734ced48f9fc88a4457","source_transition_id":"sha256:3ee3de38381cbd4f439e4b3d0d0571dc53b7c2c9117a37a4cadf5cb7e7d362bd","split":"test","step_index":2,"target":"def transform(x):\n table = (-6, 8, -8, -2, 1, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000178","trajectory_id":"vlr-formal-v2-0000178-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7fa96dfdbbe2d34621747189a9aa5d7e4b72abefb44f4e19aba0bf84ebd1e3ec","candidate_id":"sha256:f7ecad5cbd683f8a3d1e42d642c560d10e8d1b00111142669ee23181797812ed","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (1, 5, 3, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:02cef7c3d922f8ab867c81b0ad203ba1d4cd74d1cfe28bd955b115636f4cbb83"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:6aa91e78725fded5339500a5cedbf92492885e48fc116772c80da832568c07be","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 5, 5, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:83cc304c119608f38ef63d2daa226c56e830d3d547ef8030d9a8ff740b2e34da","sample_id":"sha256:8058ee40768dc2dbab88f179793ac2b7945cafd49cbe83577f9661fa8376c55d","source_transition_id":"sha256:d850bd713c63435129d467cc83af6a01482de0c1fb28fea0e112b585b1decb9d","split":"test","step_index":2,"target":"def transform(x):\n shifts = (1, 5, 3, 3)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000179","trajectory_id":"vlr-formal-v2-0000179-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b1f6e481e00bbf03bafa48d5e1f5408c4151bb426eedef848748e7f5f9183f94","candidate_id":"sha256:6709d7d2306fa413bc839af5507fb506cda3d43a9d44bfc60bceaad6b9c4ffe4","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (8, 1, 7, -6, 5, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:c387ec95688a5bb5494332d4cb1424c8ddc7cbe82f258432fd43a6bb8d136ad6"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:34922b4085f483776deddf4eac39aaa82a52855812b871a66f8b3ae6d4c6d14d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 5}, {\"input\": 6, \"output\": 13}, {\"input\": 1, \"output\": -5}, {\"input\": 3, \"output\": 8}, {\"input\": 7, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-8, 1, 7, -6, 5, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f6e32f20aa4ac4449bc15b29903a5f3baa0dd6c33bcaf17595dbda1af0d1b29f","sample_id":"sha256:a0f4c7a6f24beb97dab450a47dd901885a4ec376e1477c5a5f8c715a9baac970","source_transition_id":"sha256:afe3845b73b6b61317f6b37328841199fbc7c740c1d8a20ff2e9f50b16ddfde1","split":"test","step_index":2,"target":"def transform(x):\n table = (8, 1, 7, -6, 5, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000188","trajectory_id":"vlr-formal-v2-0000188-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ae40c75e4dcbe1c6761904880596da7814d531076b5125b43acdb61216771123","candidate_id":"sha256:beb0674ad7a7090904d8c36b05ea64a231462540d312a9784b0d859f696336b9","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 4, 4, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:c81a4d83932006eecb4c7900569db257ff1e6754ca6b5c4a750a564d32209963"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:f0cb5f7a77b6b48257b7c542babeb3a547075fe79256d92485e617a82b258d76","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 3, 4, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:158973e6f24abd98f8c7ce18c4adea1315f167e5306a4eb965ab80dffc18f1c7","sample_id":"sha256:737e771ec3225b9af6bd83fbb7c1719febd7a6cb47568e0ef62649b2f17a01bb","source_transition_id":"sha256:c24187ef58aa912966e4b768d722c585a6cb09b2e24c68bef570c8d3bcdf8bb4","split":"test","step_index":3,"target":"def transform(x):\n shifts = (3, 4, 4, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000189","trajectory_id":"vlr-formal-v2-0000189-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:503c366a4062054b3d53da0507b8f5b1486caac76e77094cc2de4e440c3e3c03","candidate_id":"sha256:8703470571a55d7697ae850ae5fab0aa3dd7aab03190984614472af87729982e","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (0, 3, 6, -2, -8, 8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:da51ba69419535e9f3e471e79b8706d46be3f0e4f20866e43ed79ecc0fd3eef5"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:87f1c146c685fca55aaad634247219b416dc51105f188718792329cef98fb85f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 7}, {\"input\": 6, \"output\": 12}, {\"input\": 1, \"output\": -1}, {\"input\": 3, \"output\": -5}, {\"input\": 7, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (0, 3, 6, -2, -8, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2a336f27c784c9269b3080eced3808ffcead4c7b30be059b5ba9c2469d3b5e5d","sample_id":"sha256:544a1f9149d272b60d553bceb3763b663ca16b00b6fb5a3c2b7a196bab5028d4","source_transition_id":"sha256:cb19716712e4ecb8cca148e1fd0837b0a75670f3a01f1099b3500d6939c36e3a","split":"test","step_index":2,"target":"def transform(x):\n table = (0, 3, 6, -2, -8, 8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000198","trajectory_id":"vlr-formal-v2-0000198-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:1108354eec9a4e6d2bd14083c6bae07c1a638e88e858e12617548078c457611d","candidate_id":"sha256:4b34228336aa3a553ba6c64791214015c9d75aefbfcf7f9f652667dff6b76d2f","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 4, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:0d15436593274467cec3a70b8f87320be073b40d8d36ccd5b5ec2c39152b7728"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:ca9d29b9439599d337c5f28f238aadd8c64f520c6776cf717fecd60643084088","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 4, 1, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e772173d6a409f06836cf077f851bfde4c5fa7845996da20533647fa69c1372b","sample_id":"sha256:f8b4e79007179a7ee5410a2f5ec84a87568f332cbd99ab3ecc3ab609f0a3e436","source_transition_id":"sha256:8d6db1a8f73c68c407481c19357298a4ee623439bec2e608ee8458556fc89123","split":"test","step_index":2,"target":"def transform(x):\n shifts = (3, 4, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000199","trajectory_id":"vlr-formal-v2-0000199-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:76fbad9056385835b85380e6ef1f27cdebc1433829c844b8cff30b3b1a29db4d","candidate_id":"sha256:680428068db574bc236de3893476534ddf77166ece2711a281533cb786e26db1","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (1, -4, -8, 0, 4, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:2b68c0293ce900f1530e286b7a9e93f0e833bd9e5097c0fc133968fe3e44a13e"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:3b069888b4c423181da034de9b598749a0f960765b9d958e2e0f4bae6e868b36","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 0}, {\"input\": 6, \"output\": -2}, {\"input\": 1, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": 7, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (5, -4, -8, 0, 4, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:851211fdf9b3de4a9f3da6f25a22a9d495d743d70c8b049fb6a371ac0fc771c5","sample_id":"sha256:0aa8b25ba96b281a229c7c6c6fa333bd17d8903b6eda0c9531675aba13202efe","source_transition_id":"sha256:e91b0ee8cc8ca444d9e3503171691d1da0af24e2dac57b031d0beb16daa97e20","split":"test","step_index":1,"target":"def transform(x):\n table = (1, -4, -8, 0, 4, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000208","trajectory_id":"vlr-formal-v2-0000208-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:45fa2f712a57f668a84fcd9e88ca59c9b7a0e4e96d5dd1f49f45ed21fe2a4614","candidate_id":"sha256:d86a0a2398967af596901a0ade191efce50323e3789e91dc8091856ac2e3c6d7","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 5, 1, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:b1cb4ee3b90cd60ff66cc0db4a65977c771c5837562f2e3bb603a12c8c9ebcec"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:0bde578014b3d8dbf2f4a97c1da5ce44c2dfb897bfefd927a1ed85a13a5dc315","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 5, 1, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3e698097de1a2575df8010a43783d61d544943b82472805c50560009e6ddba1d","sample_id":"sha256:6d5423d01e9384adc8bc3c93294de1893e354ea5c611e3b164f927682c3764b8","source_transition_id":"sha256:338a2e08e26ad07b93f5898fc6b28bc33dc12f1fc41c79fc8b3b22676eaf0f88","split":"test","step_index":3,"target":"def transform(x):\n shifts = (3, 5, 1, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000209","trajectory_id":"vlr-formal-v2-0000209-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:23b83423e1b6cea32eb8a592f2d0390165fddb7fa05b30ebfa4f41c79343c0d2","candidate_id":"sha256:7a9cfacdb1324001581f0d8ab1db80eac0f48597d5d1ddb691e26342f3d7f97f","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (6, 5, 6, -7, -3, 6)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:fd25d772a0a3625475cc97f699106015ae499af252596a72c6dd629a6b12f7da"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:fbc1ae12aa1d1272f6da5c5e136be9d666881be441e434c241f4d849bb1ebf1b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 9}, {\"input\": 6, \"output\": 12}, {\"input\": 1, \"output\": -6}, {\"input\": 3, \"output\": 0}, {\"input\": 7, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (6, 5, 6, -7, 5, 6)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:28b2fb238b64737664e6db96db69501ca78f964049d05324fbea14dcdf2c2330","sample_id":"sha256:904a4408f06be806d74caf2e4d9bf24c7f09ccadef4349dc76c6f032fe0cb5fb","source_transition_id":"sha256:9fd329be942d23981f469e7f89391f9ecf7967649786507c3d21e97e891bfd16","split":"test","step_index":4,"target":"def transform(x):\n table = (6, 5, 6, -7, -3, 6)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000218","trajectory_id":"vlr-formal-v2-0000218-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:28c603ee72336085f84690df4e3a69a6c4a29fa8aa028c7ed5e9874ea727c002","candidate_id":"sha256:9b1b399dd86a7df3771d111b5fe2f125bfc77756d047cfb5a9483b4ab53bf049","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (1, 4, 5, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:17bd09d15f106dfe61d0d6620b2bcd718def14e80b3827b7f49c7444efedf24f"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:d39ff0630dc5afe138d4b7887a009351a98cc2959d11058a17d345b0114d24e5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 4, 5, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f849fb9e61a90451d5884a41e7ab6ba73265903cbef27385fced140a1a695107","sample_id":"sha256:6493e9ca9927f90b95a62a503b6a1125095294206cf4a6f8c6184e49d18178c2","source_transition_id":"sha256:803f5110a6f373aa4f388986c2fb317f6664cdaedc48b56ee5dece48b263b281","split":"test","step_index":2,"target":"def transform(x):\n shifts = (1, 4, 5, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000219","trajectory_id":"vlr-formal-v2-0000219-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:00360db87a9197499af267ae4b5ecea9a98c7ece82445d0595409c1e73c7eec8","candidate_id":"sha256:2828a8a5b03f83b92a485a975fa828d0afdfc257bbfc7279eeb94b63036273ce","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (1, 1, -8, -3, -3, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:9188b2bc843fd18864355df7d9a6a3804190d8d738f37615968a9edcc110301d"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:f57397d523f09482c95fceb7b8b9bb5f5b630ca8038543b1067893aa2c909a96","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 5}, {\"input\": 6, \"output\": -2}, {\"input\": 1, \"output\": -2}, {\"input\": 3, \"output\": 0}, {\"input\": 7, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (1, 1, -8, -3, -2, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5bafb1251ebd54a70d35eb2a41cf671c1b2543392636e4d28c218b744be6f8f1","sample_id":"sha256:3700cc9fc5b520409a642cd4b15bd1a07dabfaa867947336254090560d05c301","source_transition_id":"sha256:0e0c15249f7da30dc883643862e36631be5591b168f5b524847777bc8a400547","split":"test","step_index":1,"target":"def transform(x):\n table = (1, 1, -8, -3, -3, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000228","trajectory_id":"vlr-formal-v2-0000228-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5f451803007f3a0e1f8f78929f4e4fe8cf19fef0503d509892f9be29b4928b5b","candidate_id":"sha256:e828c4452af3a96e8b2a09a8e8b8fa9bb77c148325c4413f3ab9f12c2c9eea9c","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (1, 1, 3, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:53e0bc7906b5ce5d4bfdf28a60adf8fffd7c9d09a980a0edc1a9b42fc29a6f11"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:2bbf961092e0a6830b3cc89b70adcb0cd09d6026a0418c88e249da46f3525176","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 17}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 4, 3, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4f27d44644b61639e416a9dded9201bf41af36d9cc2d3ced200a8b552733b5b8","sample_id":"sha256:248506da1f7eb070392c68636e22933cae2c9a7dd5acb2f9a3017ef26e318900","source_transition_id":"sha256:2df2ef99f8f0a29fa6399ce5e313519b460440d3cf36f2ba578fd7fa5c16a69f","split":"test","step_index":2,"target":"def transform(x):\n shifts = (1, 1, 3, 4)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000229","trajectory_id":"vlr-formal-v2-0000229-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b88a4813e8563cf529721eb28c4ab1a25da2609fa7ba3f2a4ba0d61ce97199fb","candidate_id":"sha256:767d25f9df8da5f5cca9f36733bae69c00ae10ee94d45021a427d115a5b1fdb7","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (0, 0, 6, 6, -7, 5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:5723d2c7493fe5326244805859f8395b3e13fb966fd254e0a008e1966fd0b262"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:ac10a3d4abef4f6c1838568b32ba76787bf2c94c98299f5b0efd78944829132c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 4}, {\"input\": 6, \"output\": 12}, {\"input\": 1, \"output\": 7}, {\"input\": 3, \"output\": -4}, {\"input\": 7, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (0, 0, 6, 6, -7, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ecd4fbb7e6aa252a6229d601a472f0a0308158ee225b4be651f5163a9cad5da9","sample_id":"sha256:b72619a5c84429643ac1d330ecba7d02c03f58b6bf71b45b620d8cd511eb682e","source_transition_id":"sha256:f35d551081a740b7d3b8217a5d32ce7871867161496f8a6e6a251d81edb6cd37","split":"test","step_index":2,"target":"def transform(x):\n table = (0, 0, 6, 6, -7, 5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000238","trajectory_id":"vlr-formal-v2-0000238-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:b6625dc44185d75396b838e1c9541dbb41565490c7b42d80ac1eaf2d06872eea","candidate_id":"sha256:5117d888d4d64642fccaddc5338e2738c70d4d5180fc119b786b446c611e2fb3","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (2, 2, 5, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:4aae0570803773dcf0c49d7c28810a9841a8b21b9c8af88713f6da73af5e62ad"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:8ee653dae9cc5c6c03fe16e4823fb66d93bac7bc44695810441ce45430c2cda9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (2, 2, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:099229bb3c8b850187c8e290ea27e8382772f4017cf409cc51183bf7846cf29e","sample_id":"sha256:aa8c8605e747c96a6382e2e38e36d00427cb523b4707a8096e5497646bcff41b","source_transition_id":"sha256:b25e2286cd8dc7e82a2fe82bc6f7b15f5ac2bd355bcdd2a6eb5c54590c1508c4","split":"test","step_index":2,"target":"def transform(x):\n shifts = (2, 2, 5, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000239","trajectory_id":"vlr-formal-v2-0000239-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:a4ca6c5c64105dc97ee25b924b601ca86d544887086bc6908229f835fbce7f3a","candidate_id":"sha256:a83565565f0eb6cd00d6adfc12eb169c611c1c7672766028f2f30829292f2b23","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (5, -8, -3, 4, 1, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:d3209cf975d6474d58a4785440d3730f3fb97cb793bdff5119855f5b3ec663b0"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:5b2fc28cd44aebeddbbe59ad56632b6170d89e4c37b2b5c5b1f0eb9b7e787aa5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": -4}, {\"input\": 6, \"output\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 3, \"output\": 4}, {\"input\": 7, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (5, -8, -3, 4, -3, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cb6bf6097659a04d789936e0a35eed9b749bbcb64a0e9b0fa1736d24cdcdb948","sample_id":"sha256:63e4b5eba7fdccae6c661479eb6ffbf891dcf3d386302c2649fb8553f8a40b86","source_transition_id":"sha256:732581fd473c23ccd8f4ac05d674cf7ffa2514538bcfd17d678e51a46c28a633","split":"test","step_index":2,"target":"def transform(x):\n table = (5, -8, -3, 4, 1, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000248","trajectory_id":"vlr-formal-v2-0000248-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:90abc5756ff38ead4c90846a56912519b3e6cfa8e4678367a5f8cd43d98c2584","candidate_id":"sha256:34ce898d57f0fc94ae652a0267b44364252334a8c2465fbe405abd9e977f6a90","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 1, 1, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:862996d841ac91a5ade85023a67138fc317d66db52e7595805ee0ccb66e3f870"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:23dc32e6abf9c3488830d3bf1e93679d40eab16e22b3b6150817ceff95dd6ac7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (5, 1, 1, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:57d1679d7980b189916cf58ef0fa02abc9f1594e1b14875ce6d360c99b554b0c","sample_id":"sha256:5e7278f5404e3e03c29c5fd6085191283b716329e0a62c843cbf4198692617b3","source_transition_id":"sha256:bfa8800235981ca8e8b1b2cf35160fa156b4c42a55febeb0fe7884924a706bde","split":"test","step_index":1,"target":"def transform(x):\n shifts = (3, 1, 1, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000249","trajectory_id":"vlr-formal-v2-0000249-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f32f356fe78f69ad3344987ab7c94ef62da39b77cc4973d05685aecb041cb5c1","candidate_id":"sha256:ed26dd594746c1c8b1cedf88402be12db10789094ba1f96e14734e1773a56872","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-8, 0, -5, -3, 5, 8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:36d3c3d6a0f6fc623a112ca07ca983cb6ce3de691c4a82f0724a84f39d2981e7"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:8c8a8f3d9e0cfb4b24082640ae6af53303ef24468032a87ba2895ac14627eb55","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 4}, {\"input\": 6, \"output\": 1}, {\"input\": 1, \"output\": -2}, {\"input\": 3, \"output\": 8}, {\"input\": 7, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-8, 0, -5, -3, 5, -6)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f886a2e928ebd8b024c28b175c5e643d662d0f8237fe478eba8ba35477bc658a","sample_id":"sha256:3458d9f693b77328ad472e934f212f1c48f7ca4dc258933ab8f09f5364e397fb","source_transition_id":"sha256:9784e0c9dc6e627179b72b34bc8844398bb41844b5025b8d004c2d9f2a5b9d02","split":"test","step_index":1,"target":"def transform(x):\n table = (-8, 0, -5, -3, 5, 8)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000258","trajectory_id":"vlr-formal-v2-0000258-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:fa8eba716855378b941ed6f07537417fcdd2bed513a2a865ecbf45b913af5953","candidate_id":"sha256:e81965a6ff3d3e3152655de62c288a7959de95e099bbf1be23b9909e49600563","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (5, 5, 4, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:daf86a820beca84afe5dbd6dd52c68ef15b5d565a0fc19f8eb0aac7603c6f6e2"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:a7f505cab001db10613a837e39342c0df216c6413959a73c2f7bc0dedc9c2f08","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (4, 5, 4, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:baa359a252641815e937803c181fc1cfbeeb6a5d5be70c6aeb56dfa61870c745","sample_id":"sha256:901d0fb2c7f18b4bf5176ec5c4cbc5566d9a0b436088dfe0a46085eeed47b250","source_transition_id":"sha256:b2cfd1ca9b1e28c7c8f08d1edaea1db866772c194ac45d13ac0d5fcb524683ef","split":"test","step_index":2,"target":"def transform(x):\n shifts = (5, 5, 4, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000259","trajectory_id":"vlr-formal-v2-0000259-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:eb815cdeadc7300a61d0a4bf165937b56ed2ff94d524ae1005aa653246147fcd","candidate_id":"sha256:710cfcc62251acd3efda1919250b5d3c8eaa4cff61e02ec3a1f2e5af23ddf7d2","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (7, -1, -3, -5, -7, 4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:721cdcf17afe53dd86d3f53b42b32b746fceebd2fe1ccd6bc1a5cc05324a4af7"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:69000a086d4d53382fb47fadef841d1b6da75bbfd48bc6a3856e35cb6ee0ddcf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 3}, {\"input\": 6, \"output\": 3}, {\"input\": 1, \"output\": -4}, {\"input\": 3, \"output\": -4}, {\"input\": 7, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (7, -1, -3, -5, -7, -3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0df1e29493a9c9f78ab6ba963b0c3652d4945fe692133236ba1fbe613899ca47","sample_id":"sha256:3945a3462dd2c56324dc2d1a8500280b05aea44de88416690b509196b6b8ede9","source_transition_id":"sha256:466d9f9d2f24394fcf782c26d2830866531bce6be046c07cc0ecdb5d94381a9a","split":"test","step_index":1,"target":"def transform(x):\n table = (7, -1, -3, -5, -7, 4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000268","trajectory_id":"vlr-formal-v2-0000268-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6957b735646fed6a85296b1c16a1b1f28470b9ed1bdf26f676111697ccbbf9b5","candidate_id":"sha256:45a2ccde4484123b7a6649996e910754a2cf8002a539e36a25ce8613916bfff1","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 1, 2, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:1b9d78dd91b3a2b2ba7147d72e12f6d81d201cf34ecb4e5d8cc3380e82272b73"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:7167d47577cf3da8079f40145ae030d67ac4b425ffc8c5cfc1251ac1fd6417b6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 1, 2, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a72b89c2fcaf00b622a08ed45d0b8439a818deb919013795cc2ba875495bc260","sample_id":"sha256:c1537bc96eaf536c5219bafbbf37b32c122ae9596f54455b4a7eb93ad7ab00db","source_transition_id":"sha256:fea5373b137f4dbc4e35b2fa7abed02f685c1c19620852e26ccfc440d260c184","split":"test","step_index":3,"target":"def transform(x):\n shifts = (3, 1, 2, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000269","trajectory_id":"vlr-formal-v2-0000269-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:34a336246457e3c8ad0199eb66712a27245eb7550eefc3505bc59509f9ddd285","candidate_id":"sha256:896cf953ce35d7471bbdedb13b9ad338fcea5c2336437eb49f9e49a26ef861b8","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-7, -1, -5, -4, -6, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:4fae61901ad7e559cab503995c8d1686f3e798bd110160b7319a9b0eb8cfd9e8"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:03b8e905b8e0ba1b62a6c394d199b19aa7437762d44db9e8a41c658215a7873e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 3}, {\"input\": 6, \"output\": 1}, {\"input\": 1, \"output\": -3}, {\"input\": 3, \"output\": -3}, {\"input\": 7, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-7, -1, -5, -4, -6, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:09694674494f28e881f3b326156b769f92362cfdd43754ec30c0669f73959733","sample_id":"sha256:429985996e5e036940ff4f1357a0bc199a51eceb1967e9cb222ad9d66bb9992c","source_transition_id":"sha256:6da6d9058b020c778603b5617d982394e71d7a9cc4655c2b169d5e6e91604dc4","split":"test","step_index":3,"target":"def transform(x):\n table = (-7, -1, -5, -4, -6, -5)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000278","trajectory_id":"vlr-formal-v2-0000278-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:8e73b94f4ca5285634612f23b83e562b5c0abd1aa7d71e91dc2b0b177447671b","candidate_id":"sha256:0ed2f6cc8e5488a8d1430f2fc4c4afe67ae21a6202673069eb8d537124d4c022","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 2, 4, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:dc5080b46eae25137e608b8731f9a5a07e79d18396137d9d9023becebea903da"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:fcfafa2a816a82ea4b881a68eca281f66ec037925484e90745c5ce9de1315cc1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 3, 4, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:888bbca4b1acd7ad17fdb687b4c13b1042389fb63caf9491aa2f5b5ad477ac30","sample_id":"sha256:ec4429313e9dd2d9393b9d09b37fb78d1be1ad95f71e4bdc2df8fb25d3365153","source_transition_id":"sha256:6cd8b87cea2d08cdada05bb0d13978687fdaf826de92f6d1ff6937f90caad2b5","split":"test","step_index":1,"target":"def transform(x):\n shifts = (3, 2, 4, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000279","trajectory_id":"vlr-formal-v2-0000279-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:c371f0177751ef29e375b64edd43191c493a9ecae246a65f17d9dbf080fe14b2","candidate_id":"sha256:fbf2c2054b87943fe07ae0c8e49512e1ccef3cf0de0f0fc02a3abf2b61d67e76","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-5, -3, -2, 7, -4, -6)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:2e9bdf8b48ea46187bd76a50363644a0850f1e8cc354f2c1d273b0b3b20462af"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:d1b9bd7fd53e30b5b718f8b59603d088f92406816ce0f0c388395ccbfc96920b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 1}, {\"input\": 6, \"output\": 4}, {\"input\": 1, \"output\": 8}, {\"input\": 3, \"output\": -1}, {\"input\": 7, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (6, -3, -2, 7, -4, -6)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:784fd2fb1c5e9f98cafa3a1ddebc2f6fa000866f9c80c86db7d713547c7cd690","sample_id":"sha256:10de9bffc3be25b81d86d225d998a22b1efcbdf5beae3a690bd1bb0c43569a98","source_transition_id":"sha256:76452958703378cadd90aa83664d606459b3a02caae1b12cda650b3247a75fd4","split":"test","step_index":1,"target":"def transform(x):\n table = (-5, -3, -2, 7, -4, -6)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000288","trajectory_id":"vlr-formal-v2-0000288-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6c826ac16f0b90f361151dabae6f634a922076c9d2236267f90c09b870495008","candidate_id":"sha256:e4ec69614bb31b77b70ac88717ba1a3f31f7af20f210319e7ea2b94b9b444ddb","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (4, 2, 2, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:b4f3780eb5935f914410fbd5fb86a693cb7fc2674f1592c26316f735f5bcd86f"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:065dbe7b9b34779e625c8db6d149ef7f2f3b507e6a2c11a6c94ae1d5ddf366a1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (4, 5, 2, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:97e9c6b9386bafb4427316678878d72e2353fe79093d3b113a0c44d51e167cce","sample_id":"sha256:dd1fbe2f7f272f3a7807c7361d3ad071ed7718d71ed923e62aa375edfd44bb12","source_transition_id":"sha256:0e7023b34203708dd4b80dfb869fe6f18bcbe855e2aaf5db1ed1449fc527401d","split":"test","step_index":3,"target":"def transform(x):\n shifts = (4, 2, 2, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000289","trajectory_id":"vlr-formal-v2-0000289-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:95cb5245f7c9c8b89d249a42ed0bfe761ad226986163bfb77768f946a1563c97","candidate_id":"sha256:717fc50fae217cc5becc5baaba97f8c9bbdf878b223097a094f00e81e1dad206","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (2, -2, 6, 6, 0, 4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:90f8d66a6708e5ea136f663f1826310d17730c50e5b8aa4dbbb7fd2988aa0c67"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:4c52434d9d1760237788bc3a86b52fbec227ca105b0cf5f5e631484d14e92da0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 2}, {\"input\": 6, \"output\": 12}, {\"input\": 1, \"output\": 7}, {\"input\": 3, \"output\": 3}, {\"input\": 7, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (2, -2, 6, 6, 8, 4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e6c8028cddcd334ddac8debbc669d134f95269592b277d2af71fcd6969efc23f","sample_id":"sha256:970472c7d97663e5888cefb4dc057fd826e03df16a939b32b3cf1ee929153f80","source_transition_id":"sha256:ecefdbe2cecfd5438020aa3c5b42562d632c956bb3116c5456a2525a18c7ef8e","split":"test","step_index":2,"target":"def transform(x):\n table = (2, -2, 6, 6, 0, 4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000298","trajectory_id":"vlr-formal-v2-0000298-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:5412d3b65040dd2d62f8d408993b2aa3cf757d0dfe47650692393ad252974d55","candidate_id":"sha256:a5ab19c3a6cf2a2667f21c5ab9411fa38888592ab5d4cb145fa9700c0db007d7","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (1, 4, 4, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:111b3a191acf8deb2ff005f6a0678b9b1f67b6d702fdcb4a83a39657d94c61db"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:4ab682b3427bacf6a5efdf233393e911bbde0a6c3402bd9cf1df27974a7af839","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 3, 4, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9c152302a4a6050bcbb7792c8bcb7f77f77dea4467bfff9fc8ec8a6426c69b66","sample_id":"sha256:a16e02cd6d42d787c95f21c89c46ef6ad1b5b2d02e498548ff73fd91f0f85416","source_transition_id":"sha256:ef91bae67490a4889399d4caa02c0d6dc33614a58be941f7bafe12b297668257","split":"test","step_index":2,"target":"def transform(x):\n shifts = (1, 4, 4, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000299","trajectory_id":"vlr-formal-v2-0000299-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:642ad61c74ae1a82964b297a42ed7ed3acae9edb9abf91a36f2ae133c382bbdf","candidate_id":"sha256:a772b540fc51bbfd24f18f463a355aec21d5228887ab6edb6dfec25979d918ed","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-2, 5, 6, 1, -5, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:d23d402d4660dfc12fa891247acd5a056df8ebc5669e718418ecf4b2aa150c83"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:e6add5a680fb26a20fef53fdc6edc9f6a297805c211f3e891cd355d4549aa0e3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 9}, {\"input\": 6, \"output\": 12}, {\"input\": 1, \"output\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 7, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-2, 5, 6, 1, 5, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ae0daa0064ff6ca52b697083e800449d021aef4aa7bd9d1043e92753557dd093","sample_id":"sha256:ee3f4a0e34976768919fd1ac0151608bcd20bd3601f2923b30b5303a70e0749a","source_transition_id":"sha256:e1d5f202df41c3aed6990c7bbc4f44886df9d65b90917f882152a391a1549c6e","split":"test","step_index":4,"target":"def transform(x):\n table = (-2, 5, 6, 1, -5, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000308","trajectory_id":"vlr-formal-v2-0000308-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:da93fd49e5a9c149462e428908d6652f2d3835f238e0d5204442424cf811d29c","candidate_id":"sha256:916790e245005a0825001f1ed9ba01bc442551a34b9b7644299bfaff3e9082f6","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 4, 3, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:0fb25259bd9fa58732bf615359f6aff6935e1d0fcd433346722d91a5e08a517c"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:de40542cf8334842b65a7b41c15c4027c279ff1d0411e437bca98a8f45fe2189","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 4, 2, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a237f0eb8d697988abcec26049742fb0e8424def10d798ea78dc85558c0567f0","sample_id":"sha256:cb7f40294fafd75ee4390debd160ea3a99c718cef4a3ccf9a804ec3600b3bc3a","source_transition_id":"sha256:3a1701f010c46fa534a8f623e6078f2f47140fa06eb3d08e5bfea9ffc3c3b94a","split":"test","step_index":1,"target":"def transform(x):\n shifts = (3, 4, 3, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000309","trajectory_id":"vlr-formal-v2-0000309-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:3d313d8f04c84c93ea9360f8083749e2830da78bec80e6dc175df763095d1e11","candidate_id":"sha256:992162a0d58f73e4482f8d8c1c677185b034b862139ff90dc5c4481edf703345","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-7, 7, 5, -5, 8, -6)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:31d00ce51c5ef61d049fd479ca86c9bad3c7c0cea11a7122d660c31485a4ba4a"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:6b36c51146c25bd77ae74fe8e2c00a7ebff982d220f995b6bd26e6403dafc266","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 11}, {\"input\": 6, \"output\": 11}, {\"input\": 1, \"output\": -4}, {\"input\": 3, \"output\": 11}, {\"input\": 7, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-7, 7, 5, -5, 8, -3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9100e5e99801a91cf8b5eaef8a075e78b0655ffba2db3a416ed49921b5d1278d","sample_id":"sha256:c3b447934475e1dd3046ffad079c70fa0d67d066f8da42a58df279694905d084","source_transition_id":"sha256:10babaef2de1dd3e6fd37564cd100d491ce3fa2386e271d2206392d83f556999","split":"test","step_index":1,"target":"def transform(x):\n table = (-7, 7, 5, -5, 8, -6)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000318","trajectory_id":"vlr-formal-v2-0000318-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:dfff5615c03c1bd6c54162b237bfe877f7a1069627d5fa123b7a46ca9eddfd7e","candidate_id":"sha256:940fba3942f5f85c3f939094826ec008bb8d7190db46abec52a2df51ef639d53","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (1, 2, 4, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:1aab4c799cf14c89c0f973bb5487c12d48fdd96064330fef0bfec4a9837b5e1c"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:39c8baa4b3e41fb28bce03bb57b3768a800459e45d36ab2657e1448126899a95","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (4, 2, 4, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2b51d28a4ba2068ef745014c7a73c3dac5b69d41f9ac21e0453754a7e2c12dcb","sample_id":"sha256:a692aa7cfaf6786082573dcb7cf3675196a853170be2378597fcdadd1731afcd","source_transition_id":"sha256:0b759e4eee958bc7598239059b7fe218236efb822b6e384b0f0e7b995c238bf8","split":"test","step_index":3,"target":"def transform(x):\n shifts = (1, 2, 4, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000319","trajectory_id":"vlr-formal-v2-0000319-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:daef04cef9de84f67c03f61722e5c81ffc09c39ef8140bcd5c6b8726ec1417a6","candidate_id":"sha256:bd066c56c937eb55a19f230eb0bbf329dd843501abc069cec59a58b5e25db115","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (4, 1, -8, 6, 5, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:a9deb72fb2b323f592f29e774093dd1568eab1a6922bf29e463454621c9350b0"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:1cbbfe4a1f1ffc0d83ed11fd56182d68d69f7d5b60e721bd7c3e3916337f119f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 5}, {\"input\": 6, \"output\": -2}, {\"input\": 1, \"output\": 7}, {\"input\": 3, \"output\": 8}, {\"input\": 7, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (4, 1, -8, -4, 5, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cf932852d2927165826bb0b1c409280c972d6e5c4d3ed4c2fd47bff7f6273734","sample_id":"sha256:7d1423be386b82e2094338e9085d7488011b87bfbb88c95bece6bbc2340f24c0","source_transition_id":"sha256:44a425878cdcb13ea1af5d8ee67cadf76f8a3e93c7138e6e8e76e72be14ed207","split":"test","step_index":1,"target":"def transform(x):\n table = (4, 1, -8, 6, 5, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000328","trajectory_id":"vlr-formal-v2-0000328-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e60da84cd476264c084339121177704eeb56735d2f9f977ad22ab81df7710c6e","candidate_id":"sha256:9ef162e25ec17141ce48fcce5edb076960d37e9f8429fb09e2106beac1a50a1f","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (1, 4, 1, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:8a2d516604834ac42271e2262c1112e2de4c39336a3fbd5e3abaac02198d1b17"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:f2c1ed26642c4ea996b57c394d0167f0ad9421150b1e91b780097b7833d020b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 2, 1, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:44b27f9fea288ddd2e223ff6000bd010e2733829bfe5bc4ea15aa7b9ef3d71a6","sample_id":"sha256:144166ef7c06c6654b87fb2311385675c8d01d64be2e2e6c3033b1807740f5ee","source_transition_id":"sha256:b675ddfe2d903762ce60c6cde46c682bae577e74ab144dd41d824b83f56b071e","split":"test","step_index":2,"target":"def transform(x):\n shifts = (1, 4, 1, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000329","trajectory_id":"vlr-formal-v2-0000329-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f96ed325649e937d50b12a9cd225f779c50b7bdf0bf4ad56cc5d7b6093db8fd9","candidate_id":"sha256:24e585cb3d0a4ede08a6dbb6dd1fe11d83680aecbd0f941e990f9f576305081d","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-4, 1, 6, -3, -2, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:67e4d897b95de9965143f7a210a9442cb6428d4b95fe6e7bed8212cfd8559e25"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:cf0e54ee9f43063300f4434595dc7fbe75e8eec5aef3de691b41568b32b68e2f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 5}, {\"input\": 6, \"output\": 12}, {\"input\": 1, \"output\": -2}, {\"input\": 3, \"output\": 1}, {\"input\": 7, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-4, 2, 6, -3, -2, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1ea6dee43d7c84796bc6846681518462fabc68fd953e67aeb5db7d16e20611b4","sample_id":"sha256:7f40303586bcc9869d3dfbb439868d67d077117953a4d7dd2691c61076277db6","source_transition_id":"sha256:6d390c00f54216515bbfe24d6d6a1370d4f3f67a201f614f74f7c62a37ecb8e4","split":"test","step_index":3,"target":"def transform(x):\n table = (-4, 1, 6, -3, -2, 2)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000338","trajectory_id":"vlr-formal-v2-0000338-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:bf130326f142c84e410b08b3db9b6091acdac35177b7633e87185591011494e1","candidate_id":"sha256:24dc9fca8032af4620a1d558477320b8a4cbfa9a9f2b01a30e6753b899e97e67","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (4, 2, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:c351b87f369a33cba339678218dae06e5b9c4733a237c2d3c9308e2ba14fb862"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:2510a1c94112871bd31439cb52997d2b6d314e29a127dafd32ff1fe66e29fad4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 2, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a00a55c9d124cfdef343686a4544c3f1b892575f65fa7bb8f5b42679d83064df","sample_id":"sha256:1c1d9fca00d8c8fec22e679dc5c4609017f4a94f45aba5b46385c4367e06f14f","source_transition_id":"sha256:fbd42d28b66a6b18b8a4ebcfdd7ebcd11b070acfd3ee2a40355c007825363d76","split":"test","step_index":1,"target":"def transform(x):\n shifts = (4, 2, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000339","trajectory_id":"vlr-formal-v2-0000339-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:e2902856451ac312dac0c3eed49ab306dca545e09e2d0f8cd7be6e7cfb9371e0","candidate_id":"sha256:82d654a240602974e5451dbade094b73fc87fb246cfd7f52a407ead753d6630d","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (7, 7, -6, 7, -7, -3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:d0e21af8774abca7f7ba593c477b8665bee95b4a6d1b12242797d0c83bb7c543"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:4cb5d79daf48070b735c43e34901d75fcb5a7ce51c73e75fd990a3d3c34e840f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 11}, {\"input\": 6, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 3, \"output\": -4}, {\"input\": 7, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-6, 7, -6, 7, -7, -3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:66123c5213d3a26e5e8300830be9d59611ab49b27c1db8eb7dc12a1e603d0214","sample_id":"sha256:0f8e63b26bd2f7e2f6eaca3f498a5298bdc62e663280a0eb51e25fa4afe4b4fa","source_transition_id":"sha256:0d16cdb382d3420adf1598c0841249b7379567811dd6c3ae7ef61c9ad3c8677d","split":"test","step_index":4,"target":"def transform(x):\n table = (7, 7, -6, 7, -7, -3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000348","trajectory_id":"vlr-formal-v2-0000348-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:2c2ba1ac10ff7f43eee7585a1d4f22023d8b14f10fa5811bd589515ea0f5aac4","candidate_id":"sha256:a0185a798b3235bce5c357af6ef7cc2c993c959617df615a4c4426d3e98ecd47","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (5, 2, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:66a274a91b7f5f83ee3d55883cfe84fd7a617d3e016051737111cb67e19fc903"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:c01a06a93a1b2b6b2f0a88864ca9a7cc24b8801536c355bf2a0fdbdbf281203d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 16}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (5, 2, 3, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dc25fdfb340b5d33f960fdda3ca3f705ab411faf1f2f4497c40f1490de7d0034","sample_id":"sha256:187fee5ad339fffe9dac138f5d565691bb0c1e27034155c893252e6c2a724108","source_transition_id":"sha256:5dd9c0f57aac7a63165b6d1cc1fec9d3429dc5b9bdd5c6956c69d99f8d2ac31b","split":"test","step_index":2,"target":"def transform(x):\n shifts = (5, 2, 3, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000349","trajectory_id":"vlr-formal-v2-0000349-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6fd576b23454762e4a8ca768e2b1280a263198e5580bf5260f8953a5ba16e9a9","candidate_id":"sha256:4d19e4c15bbfda8d55fbbd1ec19deac9eb4fe73589c74d03cdfed120acd868e2","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (7, -8, 2, 7, -6, -1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:a7f052ddb670a2858812074a584dda8afc5357e142d1727167914bd355d4dee4"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:a9bca7586dd1f264c229a3964c9247d5fe492bbf7cc4154326f9041810ba5988","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": -4}, {\"input\": 6, \"output\": 8}, {\"input\": 1, \"output\": 8}, {\"input\": 3, \"output\": -3}, {\"input\": 7, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (7, -8, 2, 7, -6, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ae0367d2cc1ab8bbbfe72fbe550b9abfc6e7a6ebc4f71321fcfb476700a629cc","sample_id":"sha256:3ef06e562d0b189e3d1b8e90197c0225cadeef35cf05684a3ab0134b8b260bae","source_transition_id":"sha256:0127d426dae426dc91beb5385819d024b1d59e9ed6afe518335ea8bbd2befbd8","split":"test","step_index":2,"target":"def transform(x):\n table = (7, -8, 2, 7, -6, -1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000358","trajectory_id":"vlr-formal-v2-0000358-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:98b626b7b4d9a2370eab3ade48b001cc05a5272d5aa1d121115a8d12a6e4ed84","candidate_id":"sha256:e7fdbede4ee4ff2475bf38e53b2d5215720ea5032cef8313687584d1631c29e9","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (2, 1, 1, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:1d8f0c2b686ee430178e2f700b15c5f669246ad62d27688121f99306fa13a58c"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:73857f0220e027046e222b2be61f21f7d3bd7506511d1b4d46e046a325ffe1df","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (2, 4, 1, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:35b82cbfd9bb6761b22547daf8328d0d370ce972ea9fb276ecbabf49f865ccdc","sample_id":"sha256:69d9c2bf4383bf2dfd0cb0225432ed9ca566a639a74d939d84848592c78578bc","source_transition_id":"sha256:b9c31f960039cada9da17f1628073c5ffea5eeb5f0ca71ec39115165c5b2799a","split":"test","step_index":2,"target":"def transform(x):\n shifts = (2, 1, 1, 2)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000359","trajectory_id":"vlr-formal-v2-0000359-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:0390d5129457a6c346be51507e151afb116d221315a750dcbc093efaf00c5be8","candidate_id":"sha256:ed6f46e65182e06f33d3532322c5fbc1b37748930ac75cf01b52ec33a2810fbd","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (-4, 6, 0, -3, 7, -3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:5f08b7ff951d51c2509655880c475b6986ced4f51a5dcb242d4c3039c1f3345a"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:68bd4d5463bb46b7f8235ebdbaa9e67fd8173346deb7a12af5ce449466f7bf0b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 10}, {\"input\": 6, \"output\": 6}, {\"input\": 1, \"output\": -2}, {\"input\": 3, \"output\": 10}, {\"input\": 7, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-4, 6, 0, -3, 7, -1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bf37e0535e21383de55d08890beae3a82be1e3ee5e805d0b6fbe041050948f6b","sample_id":"sha256:c12e82e8419aaec28af1499d4aea3babb7101a647fc236b9ba6b7acf6ba5f35c","source_transition_id":"sha256:17cbab0c47ca5b92f6c3ce4c46cb23f2d542a3a0aa6f15240214e2e903070f6b","split":"test","step_index":4,"target":"def transform(x):\n table = (-4, 6, 0, -3, 7, -3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000368","trajectory_id":"vlr-formal-v2-0000368-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:7dedc6c5cc00e1a22c5c643419e200d7bb308fe586e2af4f9830908197ecc8ec","candidate_id":"sha256:c4ef14896ecf657a829e8bbbc0a20e53a87cd03a5c722199f63324128d1977d0","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (1, 1, 1, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:543eec879714daa7040bc0ba4c8e6e89c9c9ab1ee6bd7e18e88e83bfbf37f4db"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:15a0fc8f40ffa883f4342d5113c598110f69e3300e026ef25d841cd5a7c99218","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 3, 1, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3e0106811e89632fcdc7ea2d23c47bb43ac2997b505e2847c0ae6fb19f35fae7","sample_id":"sha256:a1fb47f296950964387000be70347d5df7b9d9bdef8d8abf6dd2d1ca909d7e88","source_transition_id":"sha256:55f580cbaebffca4182150451642f81654c38e54c12f85e9463b00e2425c12b8","split":"test","step_index":1,"target":"def transform(x):\n shifts = (1, 1, 1, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000369","trajectory_id":"vlr-formal-v2-0000369-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:62f2a6323305f2a53224b4a3235e1c7a2e1eae91be3ed039043343a198ce5454","candidate_id":"sha256:63b4a0661eef2cf0ccd8b5c04e674c89d9ecd209cdb494a2f6b21695662b76fb","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (7, -5, 8, -1, -7, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:0710a29d8f1e9b30c7e21589eed5021f3f5e81e9c8f868b3bb2b10cd2f7ed71e"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:7a7a4b88a0d1aa0bfc04edf4e7d78f04ae555e4eaf2985aea0078bac110f3ca2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": -1}, {\"input\": 6, \"output\": 14}, {\"input\": 1, \"output\": 0}, {\"input\": 3, \"output\": -4}, {\"input\": 7, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (7, -5, 3, -1, -7, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7a91e97b61b89f538b66c0977fdf03698f7b1af1c29a72e873e41c801719d6f2","sample_id":"sha256:d3f85006286a33d3dcf1f4a647c55aff700c4208140a258ffaf9a978f706ede6","source_transition_id":"sha256:17410b1ebe40d7db8058a91aafcff6c08a634d115e69ff4d30d25d73d8d18874","split":"test","step_index":1,"target":"def transform(x):\n table = (7, -5, 8, -1, -7, 3)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000378","trajectory_id":"vlr-formal-v2-0000378-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:ce51dab08733b221da93b6fb2765468b3e74c56a91248477c0d36c5df1456242","candidate_id":"sha256:0c949d88e19dd277d685f23a8e40a1ed0456c7c5c4f5315763d91fd1728c7b77","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (4, 5, 2, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:2799e13f0697b39ccb56a132d4ab398c632e846b53e1abc570f50629fcab5e78"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[1,0,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:9eb3f898e0721824ea75cb30a5a2982eb7de7ff6a2ab0d4ef875b7b6eb9b26dc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (1, 5, 2, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=2\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4383c0f47dc7893b8291e63f5955c6e336c5256d0be8afcd547b35ffe7bd9337","sample_id":"sha256:e9cd85a964b0d4334ef2931fc5c62d12fd5d78a9eda6f4d3b960e275fb73a29e","source_transition_id":"sha256:48310accf64cd08e31d9a0c293078626ca8c746571a5755d9d8fe0d2ef19ebfa","split":"test","step_index":1,"target":"def transform(x):\n shifts = (4, 5, 2, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000379","trajectory_id":"vlr-formal-v2-0000379-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:6212f414fad8d8a911d38fc7febbd156ab562488de3c60e13cdf75d34f0cc5cd","candidate_id":"sha256:b4e7732035925b4995144270295b0a0d2ca5ed247312ffb39585746acddcd883","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (8, 1, -1, 0, 0, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:812e2c13fc8c7c6f38f56d31a60de2ae55da25d0b471e6e8cff004abea0d97f1"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:333ff43dd0a5d9e69741291451de7afb699754f72bf03d984025a2b7494e8861","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": 5}, {\"input\": 6, \"output\": 5}, {\"input\": 1, \"output\": 1}, {\"input\": 3, \"output\": 3}, {\"input\": 7, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (8, 1, -1, 6, 0, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0162231f6577ca767ba54310b4a3bde51b63d4a4e5069f131d4e3636c9e3caaa","sample_id":"sha256:672caaf02019954a6cfd9e80e6d4516c7fe412c97c6cdce2a5e0e90d63310ac4","source_transition_id":"sha256:ce0e007eceada55f5f75c1d2a0741d7081bf36c208d3867bc488c50c683e5c48","split":"test","step_index":3,"target":"def transform(x):\n table = (8, 1, -1, 0, 0, 1)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000388","trajectory_id":"vlr-formal-v2-0000388-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:79cb9aec4fdd3295ff2f19c6c8e44779255a60ef5d1e35bfb85f2125f7594f7c","candidate_id":"sha256:22f7323fe9cbcd4acf9b948cdd149dd62513a9cbc1fd52e004adceac1c22f4c1","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 2, 5, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:d1cc42c52d5df692983d1308b681499b00a333107599c821141ccb58382444c6"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:556a4577909257b409da4a5a7b9e456635417f880f5f0c48647f84ae15207559","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 2, 2, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:2b91e92563f75538d24dba1da21e44a8343d2d8a633cd7e47352073520772dae","sample_id":"sha256:0831d5e2b8125ff4646d66d57b945a3e23e08d5e831e040926944f2d202f8259","source_transition_id":"sha256:917eb0a9368cc04163ed8a81c1cb7e3d79d09f38c231334fb7f9152b847a1972","split":"test","step_index":1,"target":"def transform(x):\n shifts = (3, 2, 5, 1)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000389","trajectory_id":"vlr-formal-v2-0000389-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:9234b7311f07bf122e0e77e6dbe054c578c1f0b968e13429c06e5f2dc7d0b504","candidate_id":"sha256:ab81e9550c76d25e83b1a24d2b19ff56da9932b913cb266dd33a9c377a0c7204","certified":true,"rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n table = (5, -8, -1, -8, -6, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","verification_digest":"sha256:ca0db787d5bf9c11dd9809b8ed05f6f524eae06bb4fc8b9e42f0eed307c8c888"},"incumbent_rank":{"component_ids":["parity_grid.protected.case_000","parity_grid.protected.case_001","parity_grid.protected.case_002","parity_grid.protected.case_003","parity_grid.protected.case_004","parity_grid.protected.case_005","parity_grid.protected.case_006","parity_grid.protected.case_007","parity_grid.protected.case_008","parity_grid.protected.case_009","parity_grid.protected.case_010","parity_grid.protected.case_011","parity_grid.protected.case_012","parity_grid.protected.case_013","parity_grid.protected.case_014","parity_grid.protected.case_015","parity_grid.protected.case_016","parity_grid.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:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"incumbent_state_id":"sha256:01372ae975a682a66be7aa5c455b76ba44496f7e4fd43cd900e2708c7c9b4a82","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4, \"output\": -4}, {\"input\": 6, \"output\": 5}, {\"input\": 1, \"output\": -7}, {\"input\": 3, \"output\": -3}, {\"input\": 7, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-8, -8, -1, -8, -6, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:99fe1b0043729ec9cb167e5ef7019e75e41c37ee7301ff8b1f9caf9e461b7473","sample_id":"sha256:b9eb1b13d41165d8a2e8d5b048b5f3b161c6ef2f6ec90d6253a00871555716b2","source_transition_id":"sha256:6bc448ded7584ba7997e970ee0b4cf89876d25ca312e24cd0cd12dbb363ee4dc","split":"test","step_index":2,"target":"def transform(x):\n table = (5, -8, -1, -8, -6, -4)\n slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n return x + table[slot]\n","task_id":"vlr-formal-v2-0000398","trajectory_id":"vlr-formal-v2-0000398-trajectory","view_type":"certified_generation","view_version":"1.0.0"}
{"accepted":{"artifact_digest":"sha256:f0882341addaac1d9b33dbd313e38fa8ba803f3a31f0aaa7205dccfea052230f","candidate_id":"sha256:74ba6becac2718126d94649ac6c84638e926d8be0a4f2e8ce148beafdf5683a3","certified":true,"rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n shifts = (3, 2, 1, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","verification_digest":"sha256:88afa3aaf710761f2af8c2c65e7fae96ecfe5187d00bbaff8e96a4e7ec7f011c"},"incumbent_rank":{"component_ids":["bit_rotate.protected.case_000","bit_rotate.protected.case_001","bit_rotate.protected.case_002","bit_rotate.protected.case_003","bit_rotate.protected.case_004","bit_rotate.protected.case_005","bit_rotate.protected.case_006","bit_rotate.protected.case_007","bit_rotate.protected.case_008","bit_rotate.protected.case_009","bit_rotate.protected.case_010","bit_rotate.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"incumbent_state_id":"sha256:3ae9048aa432b15643ff072ac51058bfb10d1855042bc31bb38278b1dad36c4e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n shifts = (3, 2, 3, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a50a325ca3acd228a6c00a23345ccbc3fdc4ab856cc2d5c35790d16ac6dffa1e","sample_id":"sha256:d62339622b2891e5fe78a4b9bc84107ab547a64c387b6ca3ebc7399342f0752b","source_transition_id":"sha256:7aac56d8d71b082ace73a378985bb61cd8f40f601972f276d97b4598d4b170bd","split":"test","step_index":2,"target":"def transform(x):\n shifts = (3, 2, 1, 5)\n x = x & 31\n s = shifts[x & 3] % 5\n return (((x << s) | (x >> (5 - s))) & 31) if s else x\n","task_id":"vlr-formal-v2-0000399","trajectory_id":"vlr-formal-v2-0000399-trajectory","view_type":"certified_generation","view_version":"1.0.0"}