{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:a9702e5bbdac2ece5f67704f5eadfa961b51314a1a2f7c81351a41fc4ff0aefd","sample_id":"sha256:4330b00b0dc85d0ed2d691e39a05aaab9b0d0aab8f187313ba82a332bad71f6c","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:d3219a82f0b0b66b54c7d1e75838ee8b84c3e4c34766167e63c5cba8f2ef16b2","candidate_id":"sha256:485b32c3d007f2393c48f24ac2379ef323ae621b3a665f01bdec659066bba28c","certified":false,"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"},"text":"def 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","verification_digest":"sha256:367c40172f4b50cfa9d977ab43f79a82e33097a018aa6617dac3d09a989d43db"},"incumbent_state_id":"sha256:be6529377506312f86749ffcec89651208f9fc781ab4a7c0c5e739ff37b8f75b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (1, -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=12\nfailed_count=6\nfailed_obligation_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b829228963af40aa66c53a7f270a9d6193ac518b234b87179625fed3490429d4","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000008"},{"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_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"}],"source_transition_id":"sha256:eb9a5617ad03f14e5547e1a8370efedde0305bf4965c635c830fcd0ee18848b7","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000008"}],"task_id":"vlr-formal-v2-0000008","trajectory_id":"vlr-formal-v2-0000008-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:f0ffaef7efe74aaf647828a675d6c76078883553ca6ce8eaa323e18d0115631d","sample_id":"sha256:178506929f67c48c521b19cccba119ffa6408aecb461b5ffcf56fe25639dc39e","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:49f657f7d4d5d7330a14455b1d0bf826407fed5b50778623929b8c758c5b26c2","candidate_id":"sha256:6e773fe9f8685c42577cb380ee538f188236eef45fa84706fae0e5694d5f8433","certified":false,"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":[1,0,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 4, 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:b268f034969d97e0300e16e51a6d8c33b72293762cd28bb0fe65fbf0fe74da1e"},"incumbent_state_id":"sha256:f4b23e8bbbebdbec7e8ff142ce56b5300dc946a379c2cb5d9972237b754ecbf6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:16ca9cd382ac156bb81aef841d4f967bbc734793808590428c1e10c51a7903c1","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000009"},{"accepted":{"artifact_digest":"sha256:652ce5bbcc02e1e183658541bfe0cccc62ced427368d997538238b55b17642a2","candidate_id":"sha256:3bbea6d6d9284be4d266421580e3b4ae5a1048cb7d21673fd971006018346f4b","certified":false,"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"},"text":"def 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","verification_digest":"sha256:8c7086e7c5757b807251ea5d66f29fdc862a0e178bfa309f9adc7002cbe2dc57"},"incumbent_state_id":"sha256:6e773fe9f8685c42577cb380ee538f188236eef45fa84706fae0e5694d5f8433","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0772d988a3a49f4d61f752018dbd3a062941006196dc5c79c24fb0675f4f8bc7","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000009"},{"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_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"}],"source_transition_id":"sha256:d3bc011e7c7e29a6cf3525b8ced1a60915f5ce294c2753dfe87c36fb2e528a2c","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000009"}],"task_id":"vlr-formal-v2-0000009","trajectory_id":"vlr-formal-v2-0000009-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:676d4113a30cc77b8d48c306be705f90f42f5594d22a450f5c2ae665d4566af8","sample_id":"sha256:8613207c2a0f90d73cb8df0d4b5ffc19aa6a008d8e494593b8b25492a13aac9b","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:da0080f6b0f07e671afe846440628db1596d21df080bf5f2a7af1ca39e24f8fe","candidate_id":"sha256:2178313b8e186c3bcc3ca81584828820558f8284a7ae968413856068974f75b6","certified":false,"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"},"text":"def 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","verification_digest":"sha256:64160f31ab10d56c6a7f05de06a1ffc8261f73297d35743897253f9bf917ad4a"},"incumbent_state_id":"sha256:deecf9c34d169005b8339eb0abbe065e8a006ff912202478ef8cb2264ec58284","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 8, -1, -8)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3e33ac1fa2eb2ef98e27e4bf7ca7801b8dcda65413fa192325244ca3642ce4c0","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000018"},{"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_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"}],"source_transition_id":"sha256:c8e94042d48c67a490695ac7eda125e00a3a0b5621673fe001a175144f13a545","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000018"}],"task_id":"vlr-formal-v2-0000018","trajectory_id":"vlr-formal-v2-0000018-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:7134a36eee90d16991ee10f16208f31cf2e8b7e0e4e002d01a16f0d52424a4ea","sample_id":"sha256:c195d03accc2529c54e79a502212b58a70a229851a129ff4e343a60ab7ccc1f9","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:5deaf8bd6dde2d7ca949b8ffa76c03d13a629df572159cf8a4af302273512944","candidate_id":"sha256:9d669644bf54399d1437afc832f4e51ccab83168d33a9fbc5939e818ce3bc627","certified":false,"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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 5, 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":"sha256:47bb3831734326e712dd4033a85d02f4492cdf682529ae1ce063b4c671efebd5"},"incumbent_state_id":"sha256:6e967c44ae270e3568323b67a6a5ba0380cc1812cc34ac60f4a39f416d4460e7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (4, 5, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3246f483b7323356ff793aea0f49cde03dd1c364b77666b66c6dd0a3f2649ac8","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000019"},{"accepted":{"artifact_digest":"sha256:2f85de8e26b8b9df107711cc677f73b335b269b7fc68132238a52d50c8f26a45","candidate_id":"sha256:1a6b49c25b261eab79dd5e544193fb3626ce7e5878984d7feab77422e6e9bf19","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 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","verification_digest":"sha256:91a50eee956bbaa747c278ca028b64f0647b1fd8e57960b98411de7d24448bb7"},"incumbent_state_id":"sha256:9d669644bf54399d1437afc832f4e51ccab83168d33a9fbc5939e818ce3bc627","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 5, 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=3\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7d89ba7cb7d4fa2a82a7b255e04c34fa4bb43c9ac3e0063e9fb404555174ec12","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000019"},{"accepted":{"artifact_digest":"sha256:dbe49548f33d27fbcd535cdb26a44ac558627b38adc85ea9262dc5f1b12f7ffd","candidate_id":"sha256:b69861331ba9740aa7308132a2ecf026b8f37d492d9e9552c62a3c71285c480b","certified":false,"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"},"text":"def 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","verification_digest":"sha256:b1b43013d6360e854174b0d859e817841dfaae3d51d4fb2e0e1e9ba4fb529c2b"},"incumbent_state_id":"sha256:1a6b49c25b261eab79dd5e544193fb3626ce7e5878984d7feab77422e6e9bf19","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:32707254b37dfb0fe394c0aded2b76a252a528c54147d29aac0541a1d59ec29a","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000019"},{"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_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"}],"source_transition_id":"sha256:4c909b6baa84d3ddc57236f265d6319758d66bf49c5ac0721b0f89a13a87c5a0","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000019"}],"task_id":"vlr-formal-v2-0000019","trajectory_id":"vlr-formal-v2-0000019-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:95c4ebc91807f30c220299a8607a1b4ad3d5625019439e44fb05694253a34b54","sample_id":"sha256:b215d70dbcadd1c2aee607c84c1061bfed0667c3f4cb8277dd5aedb56e52feb3","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:9af876d763920b065704a459bdd730ed57326929e70ff4b250d0e40d3e542e90","candidate_id":"sha256:a1574df9700012b113811b960221b6b393c65217455b85ebc0347a2c382e02fc","certified":false,"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":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (3, 6, 5, 2, 6, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:5cfb7854006384a45022e12d9e7f8c303c0b4ed4524e41247c99f7a32376ec0e"},"incumbent_state_id":"sha256:b8f041e39e05001725eb27a6eac07f4277280dbe83085e815becefac15bb8880","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (3, 6, 5, 2, 6, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b006ca1f343310770273ac08074251aa0aac4984d52acebae30a11728ba6d2ab","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000028"},{"accepted":{"artifact_digest":"sha256:e2cd9349c3a2e1a48e1e11d585289f27a9d5a05ad234df792b9e0c0b5e86cc57","candidate_id":"sha256:3d074533757530291055fa372a7bc80e89078d41b3d1eec259e691ea4486d873","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (8, 6, 5, 2, 6, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:8f4a642df632f19571f2e8146e4f2450c2f81ee0c8646024b004f7b6d4ca6292"},"incumbent_state_id":"sha256:a1574df9700012b113811b960221b6b393c65217455b85ebc0347a2c382e02fc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (3, 6, 5, 2, 6, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f513f3c54e29ab65505cd1626b510a861ae2c0385b1146db1ed45d91bd120ebd","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000028"},{"accepted":{"artifact_digest":"sha256:77694bf37520aa4a875cba34e2187fecb4c4d83bc6af3b81eb799cc692f2ad91","candidate_id":"sha256:39503c8989ae86a8c9b0f45a84f2dc85ef86fa3f086c614413339278389e0a00","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (8, 6, 5, 2, -8, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:860eb5463d4abf7274d8430ec984e72e20df1fe1b63211958de4058785cf7784"},"incumbent_state_id":"sha256:3d074533757530291055fa372a7bc80e89078d41b3d1eec259e691ea4486d873","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 6, 5, 2, 6, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:193f7a819c2e480dd75dc4f55b7f09ccc2fbdb585b3f64b99fa17da3ada2c91b","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000028"},{"accepted":{"artifact_digest":"sha256:96ad3c2b79cfb0b33cef11c869a001ea5690d914e761d65994f161034449e787","candidate_id":"sha256:9b5be6c6eb0f945c7a92e07636a109aac8d52fd313caa5172a9d4f4224d94d86","certified":false,"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"},"text":"def 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","verification_digest":"sha256:e587b48bee45fa7b19a60e5532668ce2d3cf544c66f20b98314d484017006cfd"},"incumbent_state_id":"sha256:39503c8989ae86a8c9b0f45a84f2dc85ef86fa3f086c614413339278389e0a00","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 6, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\", \"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:659b8a8998330b87ea74a3f2607d8fbce95915fd85e5048b70d8572dee970cdb","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000028"},{"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_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"}],"source_transition_id":"sha256:002c1d793f3ee5e5b10578777950d2113560aac7858fb99234b130a84aa9a852","split":"test","step_index":4,"task_id":"vlr-formal-v2-0000028"}],"task_id":"vlr-formal-v2-0000028","trajectory_id":"vlr-formal-v2-0000028-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:583e29a3c23d01770ce3e794b8050f7744045d15249827dc470f733f87e921b1","sample_id":"sha256:d67cef08c29c02ef2fc873b15fd162356e0dfa6f9770d18f54b258a666fa3498","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:6ccf387aa75288255c05c51c57b2ea566fdf4797657ba3bebdb49adc5de459f0","candidate_id":"sha256:3e993f5e4553dd7ba3eb0ad930186e268ac2b540b8898ffffd6a8109da768186","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 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":"sha256:365f0765ea6b2a283d00001558f37d934471cb8b5bf14db16e3170c2bc404ecf"},"incumbent_state_id":"sha256:ad4ddfc8798a4f12c60e7d24349de1edd410f363dab69a8d244f6dd0f763de22","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (2, 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```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d7459fafdb2cac58f18d03396d306638b364e947bbaa6b10975846fa0313b042","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000029"},{"accepted":{"artifact_digest":"sha256:26faa2dae927dd6eded6fbd53f4eb3ad83f89623aa0941dccb6452ee0fd21d9a","candidate_id":"sha256:9d8c3d8974d1a98a511f3d7cc90262eb7dd542204fd6090be46e748d29206612","certified":false,"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"},"text":"def 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","verification_digest":"sha256:5b044385f79fbf3e08ff14880796f909539ad32c53746849fd8b7c914ff7ef5f"},"incumbent_state_id":"sha256:3e993f5e4553dd7ba3eb0ad930186e268ac2b540b8898ffffd6a8109da768186","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c3a73d942e4c3159a771e89535c4a956f86e345005ef93f0b4e8733f35eb2ddc","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000029"},{"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_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"}],"source_transition_id":"sha256:0112f4ee9d9f8a83be05e1bc91e661629fb743f5a84a6488d94d62ab070822b6","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000029"}],"task_id":"vlr-formal-v2-0000029","trajectory_id":"vlr-formal-v2-0000029-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:2594a1bacd4fb19cfc2a7f10d564da193dc8dfa9e32cbe31265d69e4c125a6ab","sample_id":"sha256:f1c6c6354baa491b8b4760be7bdee545e2336cb4b2024876053e660d6097084f","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:92c4377bcf6d759ff7b4b45c86eb4c4e096a4392069a9403e72d7591457665c2","candidate_id":"sha256:3dbc06700ca122dfaac6864c7223c3cd4bb9c4aec7dded73197daf2cbc582a75","certified":false,"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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (4, 4, -6, 0, -8, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:9671f64af545c274e2e6ef35784dcd1877b141f6b8cc0312c25daee4495939d6"},"incumbent_state_id":"sha256:6d30e3e55ebf69b77328ca8987117574dce11efaf44567497389a3d2a1ba5fd5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (0, 4, -6, 0, -8, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_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_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5271ba55a570007f495fe8fa88fc8d2b3672986504090959600f1ea0da7783b7","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000038"},{"accepted":{"artifact_digest":"sha256:a586377ebb197600d27493cb2bca94e6d6999e1c1784e40f0fc6540ca4207096","candidate_id":"sha256:6b2ce9060abad53367fdc514108c92b7f049872f808dda673871f0be3ef22a8e","certified":false,"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"},"text":"def 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","verification_digest":"sha256:03420587dfd12dd782a34a46073ae3b46613498c0e283cd2922352b7feca3ea8"},"incumbent_state_id":"sha256:3dbc06700ca122dfaac6864c7223c3cd4bb9c4aec7dded73197daf2cbc582a75","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -8, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:567f0f826ef3b511251dfd043b5ab33ae2d14bc4cf8934ec45ab7bf0d26295ad","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000038"},{"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_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"}],"source_transition_id":"sha256:b7e04a12e6b594a874de59c9f82e253df18ab1b86fcc64b67b054463c2fb76cb","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000038"}],"task_id":"vlr-formal-v2-0000038","trajectory_id":"vlr-formal-v2-0000038-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:ffc12f9512e35834314b97be5344f3506b0f4cf056f16a48edb79b1ace5255a9","sample_id":"sha256:f637fe3b88f413d6dff01738459d5242d6c15509616d497760b9232b78f64830","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:fc45f324b0240577e7c5366dc5c4615f4eeebaedf10d8ce22101bf4306884a88","candidate_id":"sha256:c3f8515dbacc4bb4d928672782517ce9ee877c12a77cd59c958f952d75354111","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 2, 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":"sha256:2ae5fbaf9fb94649303ae77f5c6040a4ef430d8c0dc25e1b9b9debc7194bc62c"},"incumbent_state_id":"sha256:4c58d2138ced7cc0c9867da785a0ec37a93cb9a13a0cdea00940de4df2872804","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 2, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0b377381497d55069ed3377f97b8f6541b526be54d90940017bbcc7f9a49968b","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000039"},{"accepted":{"artifact_digest":"sha256:dffbb2ada3beb23280bdd2a1d5df96a77b7e041a9fd2339c3f60c14950377db5","candidate_id":"sha256:7c0120d42e8827ea16fcb8d5836f301451313199f0932a5a2cc304755bb9693e","certified":false,"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"},"text":"def 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","verification_digest":"sha256:fe9a974ec9ad6225088091f5cd154236cee8691e6f20a7944dba1eb6977d190a"},"incumbent_state_id":"sha256:c3f8515dbacc4bb4d928672782517ce9ee877c12a77cd59c958f952d75354111","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e6bb9970505de20119952382b8e734ce0cd57fcb823793bc0073796b94086bfb","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000039"},{"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_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"}],"source_transition_id":"sha256:59ed2b0a75913e0d8c275b997bd44c2943190f1f238c8df6e1445b7040eae1e2","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000039"}],"task_id":"vlr-formal-v2-0000039","trajectory_id":"vlr-formal-v2-0000039-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:794479776922aeb0c1fed005ed46414529d90d89a091ff170f33bc100a239a44","sample_id":"sha256:4e06616a044f051e702779ffd41409f238a3a61262553dbcca02388f4a32fda4","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:40d37889c0c7076988621464666fcf60c8485c57691d56ea743a13bfa33f2af6","candidate_id":"sha256:1c4bc966e576dff1f9f525089be2aadfc1ef76d7a8b1dfa9309782a0e6522c6d","certified":false,"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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (6, -3, -6, 2, 5, 8)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:e0ca882f857916c5547541d8fd70eb2dbf61f8b030700e9a14d43204df423096"},"incumbent_state_id":"sha256:dbc3672cfc0371cbe84032ce53ae94f900a1df203137e51deee15ceee7972794","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (6, -3, -6, 8, 5, 8)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_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_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:695b59b61119b923ea695e4be568d1f1f48b1c3767bb05f53a0b290eea975fba","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000048"},{"accepted":{"artifact_digest":"sha256:0b55a5def8f5dccee16db8f492cd845bdc38b62ec7ae1be6beac548f98b5546b","candidate_id":"sha256:acc66c84e648978e9d87937504eda9be5fc07035e695e6b4f7d9b22cc8be6048","certified":false,"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"},"text":"def 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","verification_digest":"sha256:4b5b886fd7e890f93e185cb97f52f1a5111a8583d21dfe9a55185e4aa2531a63"},"incumbent_state_id":"sha256:1c4bc966e576dff1f9f525089be2aadfc1ef76d7a8b1dfa9309782a0e6522c6d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (6, -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=12\nfailed_count=6\nfailed_obligation_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c7157bbfec31755cb0ddb00aafb372fe31bf4f78ccc8fd79394567cb1542b7ba","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000048"},{"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_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"}],"source_transition_id":"sha256:ef26ef9fb831c74758aa765965c58d741bb9c61b4f18009330d3216c9a05a87c","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000048"}],"task_id":"vlr-formal-v2-0000048","trajectory_id":"vlr-formal-v2-0000048-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:e192aa52759cfde90f5309728e6fa97f53eacf07b1d3ef3d03e5db0b72665bbe","sample_id":"sha256:c5bfb1e9f90b35bd2fdf69771fee0257ef6ef7eab0f8030ed95872461eb9e2b5","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:44b4b713aaab7e00b7a3f98a0f181fc343d28208eeb3771520cb79126213baaf","candidate_id":"sha256:34f616affdb95bc368821730674cb4049b6f8289d0c9f416624e5c31bea4fbdc","certified":false,"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"},"text":"def 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","verification_digest":"sha256:24afa23505abaeb33537ed11ab861364889b90822b7e70d03af1f4a10cad20a8"},"incumbent_state_id":"sha256:19e11b8b9fdd52d7557cc9c5244be27085a176bcc4701a9921073cf486c61243","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e22b65120da50c5f0ab0235ccf3f49a013a19cb5794947ca860797e90e39f10f","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000049"},{"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_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"}],"source_transition_id":"sha256:4f256cc547a4b362282c80f99166c5da3b25789d62da140de85bced880fec00f","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000049"}],"task_id":"vlr-formal-v2-0000049","trajectory_id":"vlr-formal-v2-0000049-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:b08c0e7ed3f196865d3fdd2931b5e78f935c7a8ce91d04269eba0b465ef973ec","sample_id":"sha256:7a6b2c00e82b5dd7b77aa0fd6d85efe842efa1c185e9ccab65332befd9038bdc","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:8159171286af9b686b0931769038d1270ead258dedf6f24e28c043c1977fc163","candidate_id":"sha256:f327389185db48e500fa411e3974f6b2857e38db1db00a7b9f6114518dbdceba","certified":false,"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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-1, 7, -1, -2, -1, -2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:252d629f16e37552bc098aade8a2cb8a644cf4730a0ebb68688a7e2169daf882"},"incumbent_state_id":"sha256:b4cc9604b9ec88a27c56de8bc203e5f8eb147a12e24e88ed95f76b3cf3781bff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -1, -2, -3, -2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_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_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7187516ac064cb066020b837f993dcac652076eea2fb6d0587357cf4d91c9c3c","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000058"},{"accepted":{"artifact_digest":"sha256:586c5fd5f17e1937c28d85cefe171e707625112f1c37dabd9a37435317079711","candidate_id":"sha256:8b06be089ef3d1be4abad79101807c41fa9f97c90a783c2933ac567273531f43","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (1, 7, -1, -2, -1, -2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:37ecaa36ab359cbcfb3bb66fd9edf0a07aff45f75e24edbd0a5030afce8d5e6b"},"incumbent_state_id":"sha256:f327389185db48e500fa411e3974f6b2857e38db1db00a7b9f6114518dbdceba","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -1, -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=9\nfailed_count=9\nfailed_obligation_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:03cd493a426929ea7b940c5888381c1842a08d9b371857afdcbf786aa3647b3d","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000058"},{"accepted":{"artifact_digest":"sha256:932a67f1ab36eb94d38a57c99a43da309bba823925600e15026a0e8cbe2cb98b","candidate_id":"sha256:9aad0c1448b28926bc3ad78bf05bcf22875b778f18d3e17da740bcb420e20396","certified":false,"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"},"text":"def 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","verification_digest":"sha256:a9933c32804b0f914c4110734f6baf7a6b83a25a0c9089d39f759304e08db1f0"},"incumbent_state_id":"sha256:8b06be089ef3d1be4abad79101807c41fa9f97c90a783c2933ac567273531f43","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -1, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e603da494a8c68c4867caf0dc1d4930ddcb74d8743e53969890b8b75e4576290","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000058"},{"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_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"}],"source_transition_id":"sha256:c4387fdf701579ff7b27a30868cfdc5d77204e4ca5bafa532c0f399130cabf45","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000058"}],"task_id":"vlr-formal-v2-0000058","trajectory_id":"vlr-formal-v2-0000058-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:dcebf9a0e03324877ed6a96a083b1c6458250d98fc7d0a1aa820dee342d34341","sample_id":"sha256:587cc80481bc80a31c778587b9746a2959f7cdaeb41f664d05b62e44a70a04bd","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:ba369fd880287b91dd4f7e94439e5b87d59aab3e6505dc3ce11a471a5529780e","candidate_id":"sha256:539139027e72b1a5f18f5de7bc1d43723235db3b854d8b6ac6e57cc297dc9cf4","certified":false,"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":[1,0,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 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","verification_digest":"sha256:6f9940e9ad1e168f398260fecd199916fb9eadbac8933ca2588799683cefaf30"},"incumbent_state_id":"sha256:9737aa3a9c3ba533867b241470740819c5ccb838b021c9866a262f59cd119eea","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (3, 1, 1, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7ef98b92f13f18bc71c237ce885e191a64c719316712956fc17c861282f1a330","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000059"},{"accepted":{"artifact_digest":"sha256:109f412d6db6e7203e39c9b5ccb5579e85644adf86c57bf82f9b6a2d07497cbe","candidate_id":"sha256:c41130d494cd2ce082540fcf8de54f7c4487fd0731a9b9cb8d46b7714a652b8d","certified":false,"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"},"text":"def 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","verification_digest":"sha256:6d70d502ee9d375a57436a99bbb8a8f470c60a9e916456aece96801a488ffe54"},"incumbent_state_id":"sha256:539139027e72b1a5f18f5de7bc1d43723235db3b854d8b6ac6e57cc297dc9cf4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (3, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c06b18d833bc0c4096a3f6fd832c2176c116ed9b26833283354a7ec882be9ff5","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000059"},{"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_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"}],"source_transition_id":"sha256:cbc4b87222b99e98c965f21113216b04a5b438c4de3cce4897b9aa7324a7d27f","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000059"}],"task_id":"vlr-formal-v2-0000059","trajectory_id":"vlr-formal-v2-0000059-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:5cabde3ed3a5cb218f8cbf14409c532d8214fd07f85c91a0cccde790c4ff86fd","sample_id":"sha256:0be0d647aca70d5921db1f1e6d23a6cbcf0dd01acb2f9e2b430180706a052c09","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:6df2e4b838989f5e1d1a5d97e9226164a738615c256f87c2db22b90822c8365e","candidate_id":"sha256:ccd7f52ace8b7a11a1355d339e329754238a53a79e2c31aaa1e613f7d8926185","certified":false,"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":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (5, 6, -1, 0, -7, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:22cce480295511857bae51552d85972b9b8fd40105aca7fa8cfe17c01b5b67b1"},"incumbent_state_id":"sha256:f882c63d1db4359b98c41488f42e2fef2a92215aade46efe43ef3eb1514a3df7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 6, -1, 0, -8, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:60a7060b968dd7df1f42dd4b7a5bc0e67585e31a30ad9ea1e3f8c0e9ded0305c","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000068"},{"accepted":{"artifact_digest":"sha256:50eccf681adaf029475a948346681a7a63418e67b8d55a3a6d77583ba241df6a","candidate_id":"sha256:3aa02db07e5f3bcbf53d381c041a15e9285020bd7ba110d0dca55a3351b3518c","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (4, 6, -1, 0, -7, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:b94c05fc34e2d58a10388918f57244b155961c83867fde211297a2937a453559"},"incumbent_state_id":"sha256:ccd7f52ace8b7a11a1355d339e329754238a53a79e2c31aaa1e613f7d8926185","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 6, -1, 0, -7, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_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_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cab9ad7d7d624ad7a57abfcb2271bff8a25753c3b2841d21b45f8b41e8ee2ac8","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000068"},{"accepted":{"artifact_digest":"sha256:2cff6b7ad3642e1cb38cee7fcf29394251882901dfe4a2063aace421fb8dc633","candidate_id":"sha256:c737e760feba54666916b24dfa77e054ce14e1fad511b55988221fcef3f1916b","certified":false,"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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (4, 8, -1, 0, -7, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:519e4c64f01a420b5824a7da475da46e36b843883db82c3f26eaa794c1c23ee3"},"incumbent_state_id":"sha256:3aa02db07e5f3bcbf53d381c041a15e9285020bd7ba110d0dca55a3351b3518c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 6, -1, 0, -7, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\", \"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:db20d649292fca61aa18025c2d1f7d64df3b50dfdabfc1e3ab32db667187658f","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000068"},{"accepted":{"artifact_digest":"sha256:f04822e025514b51d5bb20bfb1d15b3a5b879c50bea194291cce8f95d8f2356d","candidate_id":"sha256:3bb685610001606419b748b89587b1038b466e2ba80909fbafe7f71f5ccc2987","certified":false,"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"},"text":"def 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","verification_digest":"sha256:89e314acad7c6d345d6ff1a678093527501120103dc4c945ac8f5d2d723013df"},"incumbent_state_id":"sha256:c737e760feba54666916b24dfa77e054ce14e1fad511b55988221fcef3f1916b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c915688c67e39a7a4455a6f45c66cb6cea523a3ae6fb8fbd565013995b82c779","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000068"},{"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_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"}],"source_transition_id":"sha256:0940665a6a2a1fcc52b9578edca7d30503b64f1177230286af48ede2136102ad","split":"test","step_index":4,"task_id":"vlr-formal-v2-0000068"}],"task_id":"vlr-formal-v2-0000068","trajectory_id":"vlr-formal-v2-0000068-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:e620676ed60bcbe0315358c1098547fe2f00ddafc143ffb86d4060be1bb7765f","sample_id":"sha256:bf4d5c593add5da2dafd950ed3587d72fcbb935b8ec204ce0f081e4f3a5231f6","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:ca37da2dfac5027c20b78303938c3353f406c11916a6516a7fa6945b36b46a97","candidate_id":"sha256:15ab692f28e28bd664819aec79848d5635595dc135f78be0892c74c0d822a470","certified":false,"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":[1,0,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (2, 3, 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":"sha256:9432434c405a47214ed9dd49056e7ba4d3307f47884949f87983f018c4b345e8"},"incumbent_state_id":"sha256:2ac1ac69b1add752f69582fbbf0c6d4e30397c8dae881d15eed13bcb5d1a106f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (2, 3, 4, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:faed578100735774d69638109997b98a17cbc188a99d5b35f4d2da587f0d8a2d","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000069"},{"accepted":{"artifact_digest":"sha256:e09131b848abd340a98a90263b2dfb1f50dc2d93a731687485eda80f0968ab2f","candidate_id":"sha256:dabb2215fe07fc0cc9fd7b1e8db359aa9b1f3d7ce92b084acc7e5f20fe36901d","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (5, 3, 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:c9b651b9669a0c51300a1cbe594ed800c9e95e0f133456cb0ca0f629574a3a83"},"incumbent_state_id":"sha256:15ab692f28e28bd664819aec79848d5635595dc135f78be0892c74c0d822a470","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (2, 3, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:429b32e8968a22f1a00a3da243c0fa61554113711e13ecfb46c14bb8fce08856","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000069"},{"accepted":{"artifact_digest":"sha256:a7b714cd74d2508749736c7345400d72f0916e813fb9a182ee986aa912e79b8e","candidate_id":"sha256:63022a86295b9fd1f7b43701c84371f6a68497df4165c4c65840ff730ec21ca9","certified":false,"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"},"text":"def 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","verification_digest":"sha256:d6a96e29da4f6dcc770bddf6a7c6d16fdac2b44c5479cf132d5c3b1de734b023"},"incumbent_state_id":"sha256:dabb2215fe07fc0cc9fd7b1e8db359aa9b1f3d7ce92b084acc7e5f20fe36901d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5a209040c50b5bafce2ef667976b1c5fd317425713907c6c3efea5cd3c10c2a4","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000069"},{"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_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"}],"source_transition_id":"sha256:1c256f06818d1e2ec001b90c6146f702ce3b07126a95b52e231030dd79462a1a","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000069"}],"task_id":"vlr-formal-v2-0000069","trajectory_id":"vlr-formal-v2-0000069-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:2dd59a835e0e3e53d9a88e91657646b9c88f767d78add7ad98f6a634f51460c9","sample_id":"sha256:6d726c0baf5852e1ed4b491b0af4640f3b6f13132f48aff7ce12789d7bf828ea","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:fc0abf32629e9305d66e3437eb3751087a528475a5b422c98a7385f25b683e3a","candidate_id":"sha256:a4215b6f39b5245d1b98f659ed1a9503565603b6fe0f7fa93595782205469f46","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (8, 1, -5, 5, 0, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:92fdecce9f106f657acd9e30a6a8cf8a17fb462fe425b2b071b0afac7080c573"},"incumbent_state_id":"sha256:0c5945eab5b3271f7c6e41494c27860b5bdddfe81fc102d2e97c41d986696b05","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 1, -5, 5, 1, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"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_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b94d690c5a2e86072a5c3e32025b5e67dd737d0cf8ca733c627a131e95ad379f","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000078"},{"accepted":{"artifact_digest":"sha256:56b400e0787d1a9231c683c92b74fb5bcdfc70ccb15b8ad1a0761d61fdaad207","candidate_id":"sha256:87d5bc9e94a071aad4787d4a9462dec32e5042a1d9ff29e165bbdfc7d3482c53","certified":false,"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"},"text":"def 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","verification_digest":"sha256:b6c23af8c330a3dad9c5cb3b1ae3a15e0abc243c8dde7d9611a14e359efe1c01"},"incumbent_state_id":"sha256:a4215b6f39b5245d1b98f659ed1a9503565603b6fe0f7fa93595782205469f46","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 1, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c4d09abfb6ca1a1196b6749ab73256643d8e6c793267c06c06f4dc379656bdcc","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000078"},{"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_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"}],"source_transition_id":"sha256:2e6c0b6b44ccc725e763b1c431e02e6e96dff77f66951c3636dea9baa6f9320f","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000078"}],"task_id":"vlr-formal-v2-0000078","trajectory_id":"vlr-formal-v2-0000078-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:80a55d15f0cd677506c7f4833f6b105a22b9d5fbfd05111095783ba58e495d26","sample_id":"sha256:5037f912dd49d4e47893ed877fdc1eb9ed6cacd2e79637c35261140167af38ba","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:da9d67cb9e1e7791c541defb07d1c9af1b0464415ee0cf4a1ba758062f101391","candidate_id":"sha256:3761a57e07c4ddb243e27b39af16317b398357e4bcddb9753b972d309395edbd","certified":false,"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":[1,0,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 3, 2, 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:c431256e7acdb610c5ceedd7ab9d004f35c7827333e7611fb46a01fa3218606a"},"incumbent_state_id":"sha256:df256fdc8ee1a23b915a2e7d849ab2f168ca073bb223046d39b5b18274d6faf0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b50b69464beb1bf7fc293f10029aeac0f7cbda686bf4d877186881401ab040d3","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000079"},{"accepted":{"artifact_digest":"sha256:a766b48ef158057728090a94f3ca0e94e99f5abc73db01abacb780bf82701ced","candidate_id":"sha256:a985423d60a3cbf4c547042b768e4f29b9f932058ac6e84f0ecebbaec88cf080","certified":false,"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":[1,0,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 5, 2, 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":"sha256:88a728d810a09161fae65bdea02c2181eff83e4d4765386643b59f13aa2231b1"},"incumbent_state_id":"sha256:3761a57e07c4ddb243e27b39af16317b398357e4bcddb9753b972d309395edbd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3, 2, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:800cf2798b053f2ca52fec69a29eb34a6c0cda8257a5a8ecf6ba832ab292a848","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000079"},{"accepted":{"artifact_digest":"sha256:420ab78d2231f5f3b55ba84a6cef8178548eb049fc3fe7a76c5cfdebbe4f2581","candidate_id":"sha256:a6dcb069a4a6de29dba958dab9f291d474f060220d807fa6a3d1727b46e68020","certified":false,"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"},"text":"def 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","verification_digest":"sha256:fbd5dd3d80ad195e686ad13af83774caa910e5dd72b36e98b51b245d80c9bf29"},"incumbent_state_id":"sha256:a985423d60a3cbf4c547042b768e4f29b9f932058ac6e84f0ecebbaec88cf080","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3b31f7f2139ca285b7b14304bb2fc86dc5af6e694ef5b2ac42a90ef32d60293d","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000079"},{"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_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"}],"source_transition_id":"sha256:7de33b88efd10f95eb208952af50273a8d3c5a603fbda12db2c781df2873eb55","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000079"}],"task_id":"vlr-formal-v2-0000079","trajectory_id":"vlr-formal-v2-0000079-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:492cd61add1ca4c42cad26fc593b347303d3dcca2e39a6df82c9c890d304366a","sample_id":"sha256:5b3a90e0165a51cabc73b8e08beebfb02f9d029bde365a58eef7ad3b2ead0393","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:1d5d72f6b0315769ad6e3373909fb00e10074352ed1c43c02f6469a85e3f5577","candidate_id":"sha256:68fb9f5e758375e174f77d4405588ba18968480fbef7bcbae0d154f9acc77d5b","certified":false,"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"},"text":"def 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","verification_digest":"sha256:b64408de8c9454727d21dc610bd2613a9d6a3c960a0202cd4079bb1c1cbbc4f8"},"incumbent_state_id":"sha256:c5ac0c2fee384f32f3b79d9e619636b7f661b564f5c3bcfecb31bb9cf83ae5d3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -8, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:18869e4fd5bbd7ec149b9e19ddafa59d5e38df465be9b21f35dcce0f08e93ca6","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000088"},{"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_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"}],"source_transition_id":"sha256:c0a4d17d93727017ed04114cc51d53679dd71f1361c6c9e4b7d06994270014d2","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000088"}],"task_id":"vlr-formal-v2-0000088","trajectory_id":"vlr-formal-v2-0000088-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:77ddab8c0eb0642a68f684d4827baa6fd69f3621696c6e286f6fd1819a606db0","sample_id":"sha256:731683326e85851a1b1ea121fc4724978ecf42232ede84a9f0219389dd1ed020","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:2ce76879587d9431ec31ff6125430b70046ecf133a3422d8f43f8db34659c5dd","candidate_id":"sha256:5d8d2fccec976d05cc21bd008a784702ec546541692e310c0f5d62a4dd37829f","certified":false,"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"},"text":"def 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","verification_digest":"sha256:77b39b4220ed09e6a9cbfa54ed75bf2ff21ffb0ee377f2ba6cccdca4957614d8"},"incumbent_state_id":"sha256:b1c46d399dba871f6d8dc5fe64e450ff90eefb90a3a718ed7153699da31223a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0fba87ca772dc8f1cbf21d6ea04c8cbfd62bbf6d36052e9a9c9e61194ed3e09b","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000089"},{"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_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"}],"source_transition_id":"sha256:9f2bf60cb98fa1c8f42b88ff4d049191df68867d3760ba3b1236dde50f9c8b22","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000089"}],"task_id":"vlr-formal-v2-0000089","trajectory_id":"vlr-formal-v2-0000089-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:746145a36a6debc6cf73f3e0ef9b390686c408631e78b1278085df0d1e84f40a","sample_id":"sha256:bccd6f6a87d5dcf430dee7db04589eb00731808046aa86baa6ad5f5175cca930","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:ce11501c6c2859b619c1a9cb845ef7b30529a647da79e6e8d6c4034f251b3d01","candidate_id":"sha256:2ce0dd86fefa09915bd2cdac183da121214a2c43bc84aedaaae7e4bc0b12040d","certified":false,"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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (0, 0, 3, -1, 1, -5)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:135c4c4bc12e213f13e98aff640b73fae8754877d76e5ad224a37641279ec78c"},"incumbent_state_id":"sha256:cdb52724021be051299038025e8dfb9cbd76a923ceff9437063952dd82684b24","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3, -1, 1, -7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:03588f7dc17156ff0a85bbd99bab87d68fa0ab2f0387f9d32fc18cdecf3eb914","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000098"},{"accepted":{"artifact_digest":"sha256:723010ff42a28c02fc13ce698404d88c5c5493a62c583e17b13a59af49726a25","candidate_id":"sha256:5e134c4311680a6d8d220617d57510533eefa3dc738e8697801d044d855fd05b","certified":false,"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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (0, 0, 3, -1, 5, -5)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:f5ed5e243fbce5d5e8a012d9c9c21ff022ee17ca09c6f4e3cd9577789e9dd51c"},"incumbent_state_id":"sha256:2ce0dd86fefa09915bd2cdac183da121214a2c43bc84aedaaae7e4bc0b12040d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3, -1, 1, -5)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4fa937cd26faf40b2b4a4ff0df1b31821667b1a47776a8863ab376a9a3d8008c","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000098"},{"accepted":{"artifact_digest":"sha256:f57624d75b7e59543271532588dd117a4a8593ffbbbe6911a61cc8d0c7043469","candidate_id":"sha256:f9e3d0f1025ce7357d1bc5c798197db08f0ceba0819dcce37a3d7eea78e01191","certified":false,"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"},"text":"def 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","verification_digest":"sha256:59f1d25080c53cc4c3fe872e63c61c3c43ababba4cbaf0c3d8153cb00f2ba5cc"},"incumbent_state_id":"sha256:5e134c4311680a6d8d220617d57510533eefa3dc738e8697801d044d855fd05b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f5c771134b02e233d371722b7a65bc0355193adff6fb71028f0869c7a66cfa2d","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000098"},{"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_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"}],"source_transition_id":"sha256:5063dabd586f6b8416c101785bad6f62111e21d3df1a265c452210d1501edc1a","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000098"}],"task_id":"vlr-formal-v2-0000098","trajectory_id":"vlr-formal-v2-0000098-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:6ef8a122e671446a3ec6c2582d4b51aad72ae6334ea0c3058162451b322864a1","sample_id":"sha256:d14cb099e174a672d43fff0ca3fa858a06268f0a11b4259d9926f840dfb4bce2","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:a52ce0c857cf53189b5fbd02ecbe050010aa50296e62068389faead65a4f1d49","candidate_id":"sha256:72d93a41bd260b90b0a7c81bfa9a55595c8629b879b635da9057ac37c72d25e2","certified":false,"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":[1,0,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 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:d2133d8ee34fb05cf15b60a268dcc07fe1a7a22ce919f670195ef4e8a880ba5f"},"incumbent_state_id":"sha256:71c88382c441972bcf306b7feb7a601f55e053275e42906f4bd4d9eb8157fd0f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3a969dc432dce4688adcd46c950ae1261c8a992ef1fdd3a1fa2ed376eaa47c78","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000099"},{"accepted":{"artifact_digest":"sha256:cb882fabff85030f0ede203bbdd7e3ad4cace077e58d4800927b037ca6eafe8c","candidate_id":"sha256:0ae15d86c5d45605f7e51b568bf7ffe8c67e6de34764428bcaf0c56d1c656de1","certified":false,"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":[1,0,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 2, 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":"sha256:0bf684333b1086e3c5e8ce49745052b6a038d21f4b27bafdefcac5e69f9782f9"},"incumbent_state_id":"sha256:72d93a41bd260b90b0a7c81bfa9a55595c8629b879b635da9057ac37c72d25e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2de9dcf9505159e66a29905a464424abe0e767e2394aa300690f4450c63c069b","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000099"},{"accepted":{"artifact_digest":"sha256:a7a281936fa4c2fd3d249c646fcdf85591de0f60dbc25b3d7c1766900650a58d","candidate_id":"sha256:20bb8ca251fae418fe7b44346b6101d87f9c883c683be9d1f6b4957db59c91ea","certified":false,"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"},"text":"def 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","verification_digest":"sha256:00fe51312d986f24c2ff9225978f7c6d6517b006b6aa41fbd7abce3d91eb3f72"},"incumbent_state_id":"sha256:0ae15d86c5d45605f7e51b568bf7ffe8c67e6de34764428bcaf0c56d1c656de1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 2, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e504a6e3021a0cc5e65c467b7a7cb98c898e7d4891acaa9029f8b49790ff11a7","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000099"},{"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_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"}],"source_transition_id":"sha256:710872f92fc9cf608b1b5f4d5d9325fb628c16e2a890f959bd3589de1431ce27","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000099"}],"task_id":"vlr-formal-v2-0000099","trajectory_id":"vlr-formal-v2-0000099-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:3648b57450a94f381cdcb42595fdcf81bee2cca99ef46a346c3bae5a20e68688","sample_id":"sha256:4faced378f102aa174bec959891ca6c730c980d768aaba3d25f1af426c6dd88e","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:be4929a4521dd4ba2da6b2518b6fd5075aeb60f47790c7038e7a07df2e80f41f","candidate_id":"sha256:d7b5b3b4bf929601cbce21af8141d2f1f8f9eb69dcd4b54177b02d4147e19e74","certified":false,"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":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-5, -8, 0, -7, 6, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:93d15bca9230819383948c94001664b5879bba2a3788b293a993764b3b5b15a2"},"incumbent_state_id":"sha256:3cfe480d7144d15c9ae5a1f697e03a1a8916383a474d4a7ee64d8f97e0f6bb2b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (-5, -8, 0, -7, -8, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:82ea52e256e5f0a76aeecf6f7e69a7932c73cb7837414930949a00fd0b41a0cb","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000108"},{"accepted":{"artifact_digest":"sha256:88ed8a791a6801d2876b7459373546c1c7ca88cc22ee80986fd8e3c41c817386","candidate_id":"sha256:115aafe3f1dfa25d3a9075383033d3e1b1eea1bea5b8f241102864e4a326a636","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (3, -8, 0, -7, 6, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:81a3ca5c563e7526596a14f18d975178b30de44d3abfd45ebd70104eb696c476"},"incumbent_state_id":"sha256:d7b5b3b4bf929601cbce21af8141d2f1f8f9eb69dcd4b54177b02d4147e19e74","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (-5, -8, 0, -7, 6, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_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_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7eb0e7d3fa3fa545e08ca916841b0e11b922ae05d24466542eb33b2a1b1494a1","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000108"},{"accepted":{"artifact_digest":"sha256:ed5dfcd9af222414ae1f9c795fbe109fb09da816ec8b92276e495f82b98632fd","candidate_id":"sha256:f543085b225199d16cdddca56ddd0eca79bf9e28f1d892a4425f36f5db88ecf9","certified":false,"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"},"text":"def 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","verification_digest":"sha256:284b093eb6b3c6191e6ce1a8f804e167d189f993ca6bd28f61af11cf89e4e81e"},"incumbent_state_id":"sha256:115aafe3f1dfa25d3a9075383033d3e1b1eea1bea5b8f241102864e4a326a636","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -7, 6, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\", \"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:91e4264e040a6bf64fd7237084f50f3f50c3d4375dc766f60292e9b0986669d3","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000108"},{"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_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"}],"source_transition_id":"sha256:de454d707dea11bbe041be9058715d4383305ac6079bc270b926536765e38bee","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000108"}],"task_id":"vlr-formal-v2-0000108","trajectory_id":"vlr-formal-v2-0000108-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:86cc57d6b2a00ef64fd6b77c7bfa02e353227e51d897d43357ad3920d5f7bd60","sample_id":"sha256:a1c39cf20237a03705aeb6d92c75cf7d9ac8998481534bf70d862a4bbb71fc14","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:f65e2fed802fa70c3d485db7f116cb8b54949e7e150a8cfd76002f0adef8f47d","candidate_id":"sha256:96280876072f3d57dd6ddfe5bb355f2449b278586b7d71fc0fe19d9adcb722c3","certified":false,"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":[1,0,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 2, 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:afd97869cbaa81eb535a06681f2c2f3bdc7d84beae350b69769dd9a02d32458a"},"incumbent_state_id":"sha256:82ce06cc8cf859973f132256095297a73aaaa840e06768784146b0961c486ffb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (4, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4ad0004156350a6382f7c5d460e47bd7d0e7a9457053d3ab4aee899a56fb58e3","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000109"},{"accepted":{"artifact_digest":"sha256:bcbce094193ab15e21a41eecdb2cba513a721fa9791087e81bb7dbe122e28a9d","candidate_id":"sha256:4e0979793d20bdff2e3dd9be5658f8ea48af54d02208f5774147a1281462af3b","certified":false,"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":[1,0,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 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":"sha256:745f8f6d2018b278e61e78b30edd89321dbb77f8ee685206db21b4a3e1a8f645"},"incumbent_state_id":"sha256:96280876072f3d57dd6ddfe5bb355f2449b278586b7d71fc0fe19d9adcb722c3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (4, 2, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c90363d95803b80a57580e0bb5ea63f921510452d39d768fb333d63d81e26308","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000109"},{"accepted":{"artifact_digest":"sha256:e63bf13d2bd7fd9f888a4666745de953591b097cb617a47c4a31fc46d1c88179","candidate_id":"sha256:c51e3aff44414859bb9460938686964fadfd361b084dfd7390a8b295e7d8c43a","certified":false,"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"},"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":"sha256:7e822bf578b16db5f39d5970097deecfca912d49e9e271e3c709bce119fcf153"},"incumbent_state_id":"sha256:4e0979793d20bdff2e3dd9be5658f8ea48af54d02208f5774147a1281462af3b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (4, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ed27759bbf0139c4dbe6ba80b0ad2f9da8157672708fc9493f18819ece22d119","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000109"},{"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_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"}],"source_transition_id":"sha256:58a6fec544e26eb3440c5e2dd57e27d31c24080bb2a4c96b7e9e84b33e524402","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000109"}],"task_id":"vlr-formal-v2-0000109","trajectory_id":"vlr-formal-v2-0000109-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:521fca0ea61b25851cc69bff3fcba52598049ed2701a545af29b55816457af66","sample_id":"sha256:52655cd1e91287890d98d08f8aa2591fa1be3f0ccb3a39726aad9b34fffa05bf","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:2882396993a276edd9c487397273bb4e6a9ddaf13317c9fd9457c1204530429b","candidate_id":"sha256:88333dd491f17d8fac71292ef9d6ac698c9e4d32e8ec03a8b015590708c2ee18","certified":false,"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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (7, 2, -5, -8, 2, 4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:c093f57833cce37a6d9f3569138319342ff489ddb6b11f6a843c243a7508c751"},"incumbent_state_id":"sha256:3c899c11ea4f2b8d45d6fdd6132c54990c93f4f79e9026b96deecf3161bc3de4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 2, -5, -8, 2, 6)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5d2c4c7b8dc68c534280e78e24b37902e9242977afbaf341c886c23fcf3d4ed4","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000118"},{"accepted":{"artifact_digest":"sha256:f93fe9bede92b2d7459f2a493cdab21f10829ee40f996d52b1e0f1dc1b197694","candidate_id":"sha256:3208523e520821c20eb452b738816567ef5b2c4a490532338c1229009166cbf6","certified":false,"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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (7, 5, -5, -8, 2, 4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:af092eb57f5149eab384174c01bc25451d5245bd38134d571aecf8de58644d1d"},"incumbent_state_id":"sha256:88333dd491f17d8fac71292ef9d6ac698c9e4d32e8ec03a8b015590708c2ee18","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 2, -5, -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=9\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:02b262182996374bb15716c0356b775f32df927021bbdad4d0c04123e565c866","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000118"},{"accepted":{"artifact_digest":"sha256:2692826651cbb23aaaea8ff2c2f9630a55e833fdf7d8e5a1cadb1819cdfb1c29","candidate_id":"sha256:0cfe111bd4c7ed8e98448764c31dce7d3e3cfb5d5559d5bbe32310db39d4e814","certified":false,"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"},"text":"def 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","verification_digest":"sha256:d5b8b1893ce22026bbb5ca3cc51b3635e2b1c4048797646f149d3e090dc39ba8"},"incumbent_state_id":"sha256:3208523e520821c20eb452b738816567ef5b2c4a490532338c1229009166cbf6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -5, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:61823bd040bddfb27f9c626126b87a9ba970811a467e98d42bb44099aab28bb3","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000118"},{"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_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"}],"source_transition_id":"sha256:1d6e843c2c8e8e83fb3e3630c73ef2027cbdc248c26e30c3e48077cc17102952","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000118"}],"task_id":"vlr-formal-v2-0000118","trajectory_id":"vlr-formal-v2-0000118-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:71f155e987a5f44efc1292bc1f2a535d1f71b30c3f9783dba22de45ce1a4d06a","sample_id":"sha256:868417d75b57761b9a2aadc54bddda1ea516c11f4c20232144e5333847cde35f","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:6911d529887af0db82e335dd91fa8dae78c202f6dccaf266445f4a2decbefefc","candidate_id":"sha256:bd9a73b2b1583e9d0a4bd2243f6b8982d7b431a168e39e9a55557366394dc784","certified":false,"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":[1,0,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def 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","verification_digest":"sha256:39c79bf6853e45f2dbd59cc0e8bbf263ac8c505e1754f9fe8cecd07589b47c7c"},"incumbent_state_id":"sha256:ac5d2299d516cd4ce7f21df6073b843d77f99f5cdb009d246e9d381eb9a6d777","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8447bb5fdc0a3d9f78979a4e33d41df4b903462fdc34d0720e900efd2c2c6e1f","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000119"},{"accepted":{"artifact_digest":"sha256:7dedc6c5cc00e1a22c5c643419e200d7bb308fe586e2af4f9830908197ecc8ec","candidate_id":"sha256:db89a0435dc5f8618e6800ee2496ab6a101b8515941a36f2adf6327acc522d4f","certified":false,"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"},"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:bdccaaef008869b57c50af035aa49796af7f27e4a46f87b71ab8c67caeaf46e5"},"incumbent_state_id":"sha256:bd9a73b2b1583e9d0a4bd2243f6b8982d7b431a168e39e9a55557366394dc784","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:aff51fcbf66ce19ab1811fab22ac055b74e585348a2fb08892cb010303ef1901","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000119"},{"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_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"}],"source_transition_id":"sha256:b483aeedf915b7acf2ceee2406bdab341c97af3e856745f27dcb329434e3ffab","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000119"}],"task_id":"vlr-formal-v2-0000119","trajectory_id":"vlr-formal-v2-0000119-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:cd858f93697709c9ee8b4c1549c9e38734fecd25826ecb285f118ed7966b2d68","sample_id":"sha256:7e4d871e4e8efcf5b3aef4dfea4065e0f2aa02de07f1e5e9e17f20a98832f299","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:4c8c691e1465d7c25654bd9263913863a6f0894e00679bd78ff8c462844986fb","candidate_id":"sha256:8aacaba45d0e4d5954dcb3fb9b471192f55f88ad38560a37bffd6d195e876d2f","certified":false,"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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-6, -2, -7, -7, -1, 0)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:589fbbb8ba0fbae37f593a79a6383f30855591679bc0c99dd204d511dc06d99b"},"incumbent_state_id":"sha256:cc9a139270512dbdb85814602dad7ca37bf82b488f34a85d1b492d03e2c60954","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -2, -7, -7, 3, 0)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2b047f6e217b3451458b02c3cb88f94770a1a82b52a53e87ee44d369275e7a1c","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000128"},{"accepted":{"artifact_digest":"sha256:fe100d0e8b777d05b173454c5e121fdd4e9acead7994f6883a605a396bf1e15b","candidate_id":"sha256:1f3fa92584cb9bd6fc23893f4a29bd5c53f8a890b14fd72eec46cd029ee7ce78","certified":false,"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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-6, -2, -7, -7, -1, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:44cece59300c19c4358013b5dd2be761fe0d6a884de5a31e67d0c61e38deaa70"},"incumbent_state_id":"sha256:8aacaba45d0e4d5954dcb3fb9b471192f55f88ad38560a37bffd6d195e876d2f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -2, -7, -7, -1, 0)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3c34233319af77b78348f76a8a905ef561cc36d8747757618d085f6aa1de3c59","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000128"},{"accepted":{"artifact_digest":"sha256:996048328d3d1ecb405ba80f7e5bf6f1eb71470cdad37638338f62ddb389377c","candidate_id":"sha256:d7573e82860970a6184d0b10231dc8d05bbf3676a02d6f83a891d32bddfaa7cc","certified":false,"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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-6, -2, 7, -7, -1, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:b8d061299632481c1cbc46c48a7e5f1e662c9a12f4afeff6e289c32fe311809d"},"incumbent_state_id":"sha256:1f3fa92584cb9bd6fc23893f4a29bd5c53f8a890b14fd72eec46cd029ee7ce78","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -2, -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=9\nfailed_count=9\nfailed_obligation_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:304ab9636b7d51cc648747c2ac9bb07b44bcc54f5623eb3dd7da836f972425c0","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000128"},{"accepted":{"artifact_digest":"sha256:e100a4c28ad5d620bee806b55bf503a8a37ce4e19f31162219b25f9da9172c80","candidate_id":"sha256:a077e455f9dfc713dcd4616814c8b504ab1e5e820b0da9aeb8c314cb96766d7f","certified":false,"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"},"text":"def 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","verification_digest":"sha256:df5ea2cd77bae9a81da536fbe6fc9f36c41b3c1e182dbc6c191afb6a493d3f2a"},"incumbent_state_id":"sha256:d7573e82860970a6184d0b10231dc8d05bbf3676a02d6f83a891d32bddfaa7cc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -2, 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=12\nfailed_count=6\nfailed_obligation_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:00850f00e53b7c2243d5e8d9a8cc102d516868eadd7682e5e3cca28d2f0149cf","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000128"},{"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_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"}],"source_transition_id":"sha256:269e69fdaf3111f402f12e5808dd6c9401428efa3a2a007e55d9876ec830c8a8","split":"test","step_index":4,"task_id":"vlr-formal-v2-0000128"}],"task_id":"vlr-formal-v2-0000128","trajectory_id":"vlr-formal-v2-0000128-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:bdc9b848cbee9fce31f8184b39f5ba771433f6011e8ed34b44787a3cccf06393","sample_id":"sha256:73030b0a8f891c6a1cd54b189c4ac88239d7565bdc921c50e29dab6e8c726878","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:916fbde0d0aae3bc24dac4028c8bb1bbed09286ef8f65da3f8b89c2792e33b4f","candidate_id":"sha256:cbf98abbf4edb70b8c79e1bc7bfefd6d98e9bd88c014f0251b247d8169ba0991","certified":false,"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":[1,0,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 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:a0c76b82f98213436c26990cf460b65fdc4a37285b76d91486578775e509b214"},"incumbent_state_id":"sha256:2bed50bf3c7dc05e2d5197d793f75c261022e9c370cdc28209eb426b4a4c5fde","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 4, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:544ee244a9912eeb52ebaad5821d5493f258d953b168e6c094a640c55b22a4d2","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000129"},{"accepted":{"artifact_digest":"sha256:70833b25a660f331ad218b7b2ebe1af30413747020f5ac05ebe5ced2b6b57ec8","candidate_id":"sha256:1dba5ec3ad8c9ad48d91e9cf5aff29ac3a94108171da5b1e181d23e65c207fe8","certified":false,"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":[1,0,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 1, 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:fae1d38212bbd329ef54ddcd8b51326efffd1825ba3cacbee8961a395fe7776f"},"incumbent_state_id":"sha256:cbf98abbf4edb70b8c79e1bc7bfefd6d98e9bd88c014f0251b247d8169ba0991","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f62ede2b5064ce5d34cb00da1797038f0aaff958ab8f24e8fb615b67e4a7601c","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000129"},{"accepted":{"artifact_digest":"sha256:8f579dc8cd19a2c790e3023890d73afab7a16bee9fb84087c30bc4813245e03d","candidate_id":"sha256:15ddbcb5d10ba3003cd8e6f1cbf94db1bad014f028d84639f5d5e03154b8ff3f","certified":false,"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"},"text":"def 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","verification_digest":"sha256:9d65fe6d261eb0e153586fa2c6d48e29e045474752eb224b44f7562b78591747"},"incumbent_state_id":"sha256:1dba5ec3ad8c9ad48d91e9cf5aff29ac3a94108171da5b1e181d23e65c207fe8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:35c45719f9b64879bfc8a91786d9f6b3bee3a955f2c30c474c087b90b67b87a2","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000129"},{"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_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"}],"source_transition_id":"sha256:95f66e4f04eb6c4c980ce3c35d6661a436be3e4d4a06cdf1cf25ddf0ee06ade6","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000129"}],"task_id":"vlr-formal-v2-0000129","trajectory_id":"vlr-formal-v2-0000129-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:1361d39f1feaadabb18319306142be8b309a18bb06ab553c8f3b9ce51a1d9d3a","sample_id":"sha256:df8879f27e146b34ab94a50b05c9d7f573944d05581b4c65f9f8822e6a1b37e5","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:cc67760e496938356c7275883fd811ca3e308e50f4dc99f9ab8f6a873662f9bd","candidate_id":"sha256:9f4f8c74bdaf71a6d6d1ab1304cbe2bd03010a641f1d4729d6da04c86e039b1d","certified":false,"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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (6, -6, -7, -6, 8, -3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:7a86a512af148181051bb117ae68cb01a29fc6e32ad6e6340c90cdfc9001f039"},"incumbent_state_id":"sha256:da3fbc030435dc4cfdb956b365957db91154b50ff9920a8d6435ac8ac78f9822","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -7, -7, -6, 8, -3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4515cf031125e1b04ad19bb4432765da66c21e778d7e5cf056ade8291dda7f36","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000138"},{"accepted":{"artifact_digest":"sha256:0ff3679258441bb1deb4760357a4d740556debbac31a50236049d677bf7c543e","candidate_id":"sha256:89748a90817ef0e7e8742ec4ff0e3fae6c64b507a68739de0b661d7393cc574e","certified":false,"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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (6, -6, -7, -6, 8, 7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:d815813bb77c8fcac5a23d2ac219a97d89a38a90bfdeac3954e65c315e66780b"},"incumbent_state_id":"sha256:9f4f8c74bdaf71a6d6d1ab1304cbe2bd03010a641f1d4729d6da04c86e039b1d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -6, 8, -3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:301c4679e5e4d554af1c20a4af979139cbc68f1d8113c00f6ad8968155fe96d8","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000138"},{"accepted":{"artifact_digest":"sha256:51fc91c20123a9d02fca9298a6fe912133a0cd7ccd45e513457df5097b64a3b6","candidate_id":"sha256:58cb6414d28ea0a770c4f3527c0f508692f57d6afc6370f888a2efe7050de836","certified":false,"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"},"text":"def 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","verification_digest":"sha256:ded024900be8aea7f1d1b5f68fd458fd91413b5532b2fe73984f450f074f3128"},"incumbent_state_id":"sha256:89748a90817ef0e7e8742ec4ff0e3fae6c64b507a68739de0b661d7393cc574e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -6, 8, 7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c5a97f107fa4c18f1c2b367abee51628ef204e85dea95e9e1a8764735d63f3cd","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000138"},{"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_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"}],"source_transition_id":"sha256:7e23533e65b217d2bd6e7ed20518db6113c04c86e4ac6dec41db20f4faad7168","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000138"}],"task_id":"vlr-formal-v2-0000138","trajectory_id":"vlr-formal-v2-0000138-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:2570f4305f722897963707e3804fb249a8ef220becfe3249f88de88b590a9dd9","sample_id":"sha256:7b4f0e7605fd54dc84c18d274ca50106143ea7298ff4361377657e03b3c3854b","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:1f22a40a85d7db7ea955ee0aa1420f57af2c3fa8d97a06e360228095027aab3d","candidate_id":"sha256:e8512b009c3f643faa300b28adbcf53b19354383551178751bed0ea31eba24bc","certified":false,"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"},"text":"def 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","verification_digest":"sha256:1d6b6488c4fcf22b088749be1a7e87eb284649d6f8351fe51667e7cd22bf4e4a"},"incumbent_state_id":"sha256:c2dd26e7070d30ef579e69a67029fe4566350d4de80b5aa32e88937acf3bdd86","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ab711406b7500a334e9eab8f13de0d92e7d3e2189823ca5e8bd1cba29d1070ed","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000139"},{"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_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"}],"source_transition_id":"sha256:1a5b33ccee65d9568be00f262ac4b152edb2057c0a0348b63c18b6c4e39467c3","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000139"}],"task_id":"vlr-formal-v2-0000139","trajectory_id":"vlr-formal-v2-0000139-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:3a471e01e375a7d30196a34cd01760044763fa8351080dfd184173acf6b93f82","sample_id":"sha256:7b2b65a0b4e2754042003fa92adda3a7ebc08f1bb560ee598fe6d1965853ad23","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:2dbe72c33e2817ebef73423b7341bf66c1e32c31a00dfe27eaa1bf46b97f3312","candidate_id":"sha256:465432432f9fbbf6ab92c5263c2eb8b1bd94e111332af2c3e359abfc478acf4d","certified":false,"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":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (0, -4, 3, -3, -6, 4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:f16b6dc7136535d28c3750d79a9024d0825bf18c0f4f1e1108f42671eaa88f6d"},"incumbent_state_id":"sha256:ad280e753ea5b8596c16472121c8c87c8913d4a2da87579cf98beeaf931650f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (0, -4, 0, -3, -6, 4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f2e97497dbd7abf50eb0fe4cae86c9e90ce71c0a5154d991a0c7f370d99c506a","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000148"},{"accepted":{"artifact_digest":"sha256:c9294fb5dffa23f518a42ddc91274657c5023055b50ef786c4d8a707ad91def0","candidate_id":"sha256:f87a68d0a5efdcf726bf50554aaaac625bd7899d9d415da2aa121b74caf9c4e1","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (8, -4, 3, -3, -6, 4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:cb3b6b1108c12dbbf27394e40b20bf8e97ca1fcbaa71cd22e585d7bef60f7469"},"incumbent_state_id":"sha256:465432432f9fbbf6ab92c5263c2eb8b1bd94e111332af2c3e359abfc478acf4d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (0, -4, 3, -3, -6, 4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_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_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c5ee937647889109fe1dcc08c4f73bcb9809627a5bc28c2e551530a4ad7433e5","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000148"},{"accepted":{"artifact_digest":"sha256:dc5dc8e1f5e2bb0e9d60c7a7c2d767fae6a98f0ed3fcb10cb6cf5ceb87cca53a","candidate_id":"sha256:728774b753300a80401f483ae8471c85eba0653bd9593b2e7b43201b4c4dbcc2","certified":false,"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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (8, -4, 3, 4, -6, 4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:58a26c0c10f6c79d12416b863192648a1db73f7e0ca2359d9b5aa2faad7fa428"},"incumbent_state_id":"sha256:f87a68d0a5efdcf726bf50554aaaac625bd7899d9d415da2aa121b74caf9c4e1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -4, 3, -3, -6, 4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\", \"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:666501553eddad039a4bfd28c5d9ae009d4c0d31c15de8340ec71af60e3d5e53","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000148"},{"accepted":{"artifact_digest":"sha256:a7a6adca3a99f22666c3fc9954f5a8c1c81822f11e114b33879b0a902de36315","candidate_id":"sha256:f2a3f3960bf0d5f89341fa87ca497e89b590d640d597b234e8c31c3926872d8e","certified":false,"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"},"text":"def 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","verification_digest":"sha256:efed3308e9e4e308841aec93d2255edaf4695b026eb9d81408c1ab943c7a5300"},"incumbent_state_id":"sha256:728774b753300a80401f483ae8471c85eba0653bd9593b2e7b43201b4c4dbcc2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -4, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a12274cd75e8f57c2d99e3474322bbaeb7cc2dc6487319cbb0c0bdde91dcb413","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000148"},{"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_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"}],"source_transition_id":"sha256:4caddaf06949ced876cea054832cc125095ae99f15568963857d509feff1bbbc","split":"test","step_index":4,"task_id":"vlr-formal-v2-0000148"}],"task_id":"vlr-formal-v2-0000148","trajectory_id":"vlr-formal-v2-0000148-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:ec68b1223b7d2a33da3cdd96ae2aa3e2d7372866d43ea1fdecaa59d20d3cf6d3","sample_id":"sha256:84d7ebfcfbc670cd5d12e254207dcd02dcf994a56e5a7d416ea0af92b6cc83cb","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:d661efdf9141c713711c128132084f2762723e43b1618447e1d52fa51ca74326","candidate_id":"sha256:f8b8c99dab9e455ae9f297dcf0432233ae7ea18a023bb9004788214c25caf15b","certified":false,"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"},"text":"def 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","verification_digest":"sha256:0027629dc1f82b917e30909628dcfada11f3ed43853859cf1faa6b283a208215"},"incumbent_state_id":"sha256:d9cd42e824edc8d4182f2577dc0acd38ed856e52535a0fb99291e8637a404c9d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:34a72643b189cbf047b9ec9bc7d9b32e3d880cecfc651e7621d6406bfbed1fde","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000149"},{"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_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"}],"source_transition_id":"sha256:33aac083dfc887193a943bd9ae69baf081e8e0a2dd77396398ba9ccbf85f9f37","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000149"}],"task_id":"vlr-formal-v2-0000149","trajectory_id":"vlr-formal-v2-0000149-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:9e3c9ccfd62945e4a0075f4c9c5621b6b5700173cb24e975445524d7edee2a4d","sample_id":"sha256:c473efb62c870557091378cc449edfe9b9e9c9a31ac13b60e61455cdd2e2ecf1","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:b718a6173417d1a0bb8850f6330b34565a13334d80b40b8ddd952f90e52d6809","candidate_id":"sha256:583d06f6882593c7be1f0dc3190576d961fe182c9a68d7e31d728590a2084386","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (3, -8, -4, 4, -6, -1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:bb2abee786b5b9ca7c67d8fd68f9b290255a9f74129b618a15a2efd1b2698aad"},"incumbent_state_id":"sha256:a4bc9a550c54ee4b4c989eb10d7552585e919483e1b8d30dbba740eb444a470d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -4, 4, -1, -1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"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_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c8e8e3f56aeaf694148cd04e1c53f2425fd97a489eda53a5773f746e85a45d7b","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000158"},{"accepted":{"artifact_digest":"sha256:3729467aae941e808aed7c88e8dd72a053ec2d6c2e00a22ecd7a7ddc10de1d2c","candidate_id":"sha256:c884fd1ef72eae3d7d6d410ff1df74a1aa527d2dc15122f029d3014cc48db5d6","certified":false,"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"},"text":"def 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","verification_digest":"sha256:8f581e26da562fb5211693c769bd9a36f6b7ef2669919d11ebdaaab6281f5468"},"incumbent_state_id":"sha256:583d06f6882593c7be1f0dc3190576d961fe182c9a68d7e31d728590a2084386","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -4, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1c4e0c3ea36c26d72a03b39f45ddf96645d97b23d01738c98b628d1be5f4b72a","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000158"},{"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_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"}],"source_transition_id":"sha256:f8b6c2b95a5f6ecb4245b743427fdd9cb2963a35ce25880a6c6ad6228c27e80b","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000158"}],"task_id":"vlr-formal-v2-0000158","trajectory_id":"vlr-formal-v2-0000158-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:b498e174dc25833f13be68689eda0517334215edd315069a1a598280b63e402e","sample_id":"sha256:0309542d5766cc79367047f9040763ee4cbf327a007220e80decffddd23d3946","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:d4420c28fae94fed960408b374fcb7a0f8e340c60d704c1e3d09b54fa6d5fede","candidate_id":"sha256:cf914cc85bc721ea456a754b0714449462395d51160a64d74793c52188ef3c32","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (5, 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":"sha256:0cae9abc93062a11b42f219da91ef3b0950b2788fe8e9ef82b6930ba678bde7f"},"incumbent_state_id":"sha256:90dc2283bdb051cc25874ae4e3d04b2ba4a359719f5b838f0912764674e9b2f0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f1f4a660f81338879911accdaca0ef7f390389587afb54c6e43b6119b5103306","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000159"},{"accepted":{"artifact_digest":"sha256:e4228aeb59c71099efd53c17c7d3bac80361022f8e0d5e926df341692cb8d053","candidate_id":"sha256:805063344dc045b16adf8b1f16df74dad971e3fc7d5868427b7303a1e7dfee6b","certified":false,"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"},"text":"def 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","verification_digest":"sha256:ad654f44cf64e0783670859bfe2682f01302843513445d7bf8e5cff8af7e95ee"},"incumbent_state_id":"sha256:cf914cc85bc721ea456a754b0714449462395d51160a64d74793c52188ef3c32","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b8292ca9512fde30a4df6c0765c2550bb703e5f0dd84dee3863e005ac70aaea6","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000159"},{"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_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"}],"source_transition_id":"sha256:26294473db658d4c50cdde895b7e946b8504d7b8d99c4135281149930b8e15c1","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000159"}],"task_id":"vlr-formal-v2-0000159","trajectory_id":"vlr-formal-v2-0000159-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:c10432ac87f44916cfa33d3395624de3e4c54b709abd3c1c5a0c98d3a47b4326","sample_id":"sha256:17d3233cdd1864d2b00b6be495b742996a257ff6603de51f4a600e0c245f3a3a","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:f1cb4e65a8d01735212f557a56ae13113f6d16021deffc19e8ee38d64178c32d","candidate_id":"sha256:573c44598c1ff7cd4d5b661ca4f25095b53ce97d458ef2fce79cef847280449d","certified":false,"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"},"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":"sha256:2b1c89d363f83eb0b5411b4157317c2b36da6c2da78ffec69fced1c7608af75b"},"incumbent_state_id":"sha256:4173daddbe09bcd3f0a2d23df74c4233cf5b1bb3252d6cb23e4ff80b4eca07fa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 0, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_003\", \"parity_grid.protected.case_004\", \"parity_grid.protected.case_005\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:74c7442ccc56810ed3b2b83a6dd14adf302910447ef50c582ce6bb0b28213bc9","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000168"},{"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_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"}],"source_transition_id":"sha256:f8c5688648c249f957edf29d0e3350e363b4acca91af67d308c15431344bcb77","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000168"}],"task_id":"vlr-formal-v2-0000168","trajectory_id":"vlr-formal-v2-0000168-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:e6997e22ba262cbf6caf5935bc0c996e0c942c57f3be78011382604ba93b1d6f","sample_id":"sha256:3e5d57bcac0953f94c62677465a448fdb03a87469bfcddf5f081eaf485963915","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:210411af1d19624021dd1cbffe19408a62bee349348f4a367caca74914481693","candidate_id":"sha256:2ab8750f300b99ed8f07da1952a512950ca49e6b3161c7ad5c7d517e448fea20","certified":false,"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"},"text":"def 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","verification_digest":"sha256:ac4c0ebccec2b30e995a0fe0efa696ffd7570a706e687915e406ee0ee222f80a"},"incumbent_state_id":"sha256:50d06fb85c486c1786577543693a66ea0c6882ce9163f86aba0bcadb1a6cf800","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2a245397dcc21e730c6b9bd0fb5ae10251500a3f7c1e8aa99aa28596ac4e3381","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000169"},{"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_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"}],"source_transition_id":"sha256:3317d4ed409d03cf8e8e82978155bbfb5cbc795f1e5c53e947aeb808deaeecfe","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000169"}],"task_id":"vlr-formal-v2-0000169","trajectory_id":"vlr-formal-v2-0000169-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:13f55f851e4eb3d5aa367ed11580660658d96afe0e7743df9cb5a433f5630eb7","sample_id":"sha256:d9b5523e51398f2b2de8ff027bce3fa9a5018b1080f90651d7652f8eebe7b1fe","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:128ab0b2e1dc552f7004dea1061935d0d9710f471b2448fb96895a1c481a4823","candidate_id":"sha256:7de464ca74a17d2a605513c397c70b42288c2dd401710b8df8d83070b907686c","certified":false,"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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (6, 8, -7, -2, 1, -4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:d9072a080b79f20ff1443d231212f5628ca700d951353a5d40db108b05b2075d"},"incumbent_state_id":"sha256:66449bb6dc2d4138b7336e243636b868d1fbd0ca223bbeefb697def2fde990c4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -7, 8, 1, -4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d783b01d5137703538c1ecadef34125b9a56618c6ec03cdd07aba50ba0cf86db","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000178"},{"accepted":{"artifact_digest":"sha256:ec8698daeb4ed9c29806845b20c073f978cfa847d3c01c7160a5f7f7dbb20eb0","candidate_id":"sha256:6f165519b8f10ccb3102fadb33e15fa7e77659d8c99ee95eaecf001e13cb2468","certified":false,"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"},"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:ebb88b068c5519bcabea8685586f3b102a06d2dc7e1d73e3b2e110f9638f4a34"},"incumbent_state_id":"sha256:7de464ca74a17d2a605513c397c70b42288c2dd401710b8df8d83070b907686c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -7, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2bb0dd0994e1bfb7cb26ebf9761e32d7842e80a40365f0103e67557eed769a6a","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000178"},{"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_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"}],"source_transition_id":"sha256:3ee3de38381cbd4f439e4b3d0d0571dc53b7c2c9117a37a4cadf5cb7e7d362bd","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000178"}],"task_id":"vlr-formal-v2-0000178","trajectory_id":"vlr-formal-v2-0000178-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:d0ff4ce799c3984976f6abe3db485bf14251ee6b10f79f74914c130b9b69ab21","sample_id":"sha256:b3885019c91eb5af14aa3b95b6b9b7c2a9d00b6d0a65cd5f35e63b23456bf529","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:bb7912ef479a997a3cce3bfd5ba4eaf71acc65ace77da660560bcd8e6962425d","candidate_id":"sha256:e027f9fa7fc91cacad50d626df5a2e10c6a7ce75486bbef72d370c4c5c8b32a9","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 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","verification_digest":"sha256:acb38bed4edc4a9320da845cf567287ce3b9b41ce33d88fe8a876b2d7ba34742"},"incumbent_state_id":"sha256:5fd0d58057077bd6e988caa919e13cc9c076792f5fe31bf8a704e5eb8fb47bd2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4cf844f1be1268a8996621504de2cfd81a5c020ecf9f5c5f53a9850024fe3b50","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000179"},{"accepted":{"artifact_digest":"sha256:73a3a94141dde00456cac7b4dbb970752b4d368c3406c506dafb775593e564c2","candidate_id":"sha256:6aa91e78725fded5339500a5cedbf92492885e48fc116772c80da832568c07be","certified":false,"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"},"text":"def 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","verification_digest":"sha256:5aaf4e1ac18b5ce1e49f04576a45e6224f618f99ca0d00a86f9642f98ea0605d"},"incumbent_state_id":"sha256:e027f9fa7fc91cacad50d626df5a2e10c6a7ce75486bbef72d370c4c5c8b32a9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ff13466eb83d3eb6edfe47a972da79fc1b38f262d84c4cff5b91bb5868acffe4","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000179"},{"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_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"}],"source_transition_id":"sha256:d850bd713c63435129d467cc83af6a01482de0c1fb28fea0e112b585b1decb9d","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000179"}],"task_id":"vlr-formal-v2-0000179","trajectory_id":"vlr-formal-v2-0000179-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:77e8213e61416fdfd54f410f139a724e7037f102d0ad28429fc18eacaf8087ef","sample_id":"sha256:debc6be6286ec344d21cdd6569fa1e65f272632000426299b54118029f04565d","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:204ea38bff222a623b622055d0f67de85569caab8afcf21996a7594f07c60ceb","candidate_id":"sha256:f319a8a67c52898a9fb15ddf0bce9c39c6f9ad1e799e32a54d5429a760d35499","certified":false,"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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-8, 1, 7, 0, 5, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:68bab1bd676fdeefc7ad1698630671fcdc02105986a16c5598c828e98d6d0780"},"incumbent_state_id":"sha256:3eb7a34ecdc993027e590cf57e727182c29cab6790037075578513f54ad71f8f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 0, 5, 4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:76468afe2e38ef0adb2f6a07e89c4a5e7601f532d356937738a9a0203230342a","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000188"},{"accepted":{"artifact_digest":"sha256:0c8d70e65827d31ec8bde97d41b14caac8a31e238a86f77393a926174fb1e51c","candidate_id":"sha256:34922b4085f483776deddf4eac39aaa82a52855812b871a66f8b3ae6d4c6d14d","certified":false,"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"},"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":"sha256:952e1bc402d786e9346310c4f88583c248816b829d1a1e5cd84ae91b6ef73263"},"incumbent_state_id":"sha256:f319a8a67c52898a9fb15ddf0bce9c39c6f9ad1e799e32a54d5429a760d35499","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 0, 5, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cc260894621d99996e485deb5b3a1891ce4c6b73d947e755b15d16ace536f030","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000188"},{"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_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"}],"source_transition_id":"sha256:afe3845b73b6b61317f6b37328841199fbc7c740c1d8a20ff2e9f50b16ddfde1","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000188"}],"task_id":"vlr-formal-v2-0000188","trajectory_id":"vlr-formal-v2-0000188-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:a60c761ff48f7f4e7a1f66d890b86a35fafb17a5732de4734b08f1f527599611","sample_id":"sha256:103ca195874a6908647fb247518d26db059e22fa8357a35f03562878aba0cd0e","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:464cac46e31d4caaed51b205bf1233b6e24f0e8227080a6cf84f71fd1ec72565","candidate_id":"sha256:240f94c57a7a7fe3b01efdf8eab49b9a39984bd71fe630a0a8ff3492807afda6","certified":false,"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":[1,0,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (2, 3, 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":"sha256:3e4235b5d0a9a4d01e462791e920226c2a48085c8e8e1243e45e6eda10583917"},"incumbent_state_id":"sha256:13971ca78f2c33bc3c9f2078b4f1dbcc944c220ecc1f31f2d3f2c76d98afeabf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (2, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c70316025c578ed4105fbabc1ccdf24252ff8c3bd94a01b66af4dc9a2eaba2ee","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000189"},{"accepted":{"artifact_digest":"sha256:a6c0bab2da1088f37eb19db9b0229c0b70c88348290eb54780bd79729f7a38ad","candidate_id":"sha256:99703f0e7a954bf60a1691cccc29f563d14331b510267aab6dc14e8d8d8378ae","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 3, 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:a71f5220a6bbc61f013c5ff11375235d764f502d843e35733fc7a1b136c85576"},"incumbent_state_id":"sha256:240f94c57a7a7fe3b01efdf8eab49b9a39984bd71fe630a0a8ff3492807afda6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (2, 3, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:852efb430809bbc0c188a3c21e486f0f64756dda3ee19d5c11f6879a00cf3d50","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000189"},{"accepted":{"artifact_digest":"sha256:b46365a12946f548e0c4d3758455caadfd2c2d8de0144a7905b3495f644fadaa","candidate_id":"sha256:f0cb5f7a77b6b48257b7c542babeb3a547075fe79256d92485e617a82b258d76","certified":false,"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"},"text":"def 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","verification_digest":"sha256:4b16fe34f42cee4b554894d2647b56223c2d5895f24bdf3112eda0066282d33d"},"incumbent_state_id":"sha256:99703f0e7a954bf60a1691cccc29f563d14331b510267aab6dc14e8d8d8378ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d53952cf5c9205801cf71ab98c28a3154300d4c536c656b64d12a6b488550daf","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000189"},{"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_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"}],"source_transition_id":"sha256:c24187ef58aa912966e4b768d722c585a6cb09b2e24c68bef570c8d3bcdf8bb4","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000189"}],"task_id":"vlr-formal-v2-0000189","trajectory_id":"vlr-formal-v2-0000189-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:647b4eeb327911e894d7ee3213e2efe7e592ff9956e16bc6611e3bc60a047d79","sample_id":"sha256:47bc4e16fc44d9fafaf879b7e87d85f192f3cdb8c89176dd6378e48a7000ec7f","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:cf2c59ee08799eaa15bbae84ae6cf607c63f9a6328b1039e9e451f57579db0ed","candidate_id":"sha256:21f35cdfed917fbfd8b209584a5e851c34b2e6be1e61ae333d4c68707e9cef56","certified":false,"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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (0, 3, -5, -2, -8, -5)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:4cdff45bb58229611d763352197312e0260dd82d37e9efbaf4285025d0877742"},"incumbent_state_id":"sha256:4e713a203df18be89f50b1ce0d0057a93fe0404e1ff4d5f44056fb2006544a01","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 2, -5, -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=9\nfailed_count=9\nfailed_obligation_ids=[\"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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:52fbb3b66b72222e57d32cfd7604928d2d443ebeb5adc9fa7b2e2b971d8e8e04","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000198"},{"accepted":{"artifact_digest":"sha256:2694ebfd0b1459e79fe1b7f4985cda4e112ab48bd4ed5d192fd8842e2ec60401","candidate_id":"sha256:87f1c146c685fca55aaad634247219b416dc51105f188718792329cef98fb85f","certified":false,"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"},"text":"def 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","verification_digest":"sha256:9ab11ae903e9de47488c308a477c6ea4dcc21638d1eeeae0d57258847147633f"},"incumbent_state_id":"sha256:21f35cdfed917fbfd8b209584a5e851c34b2e6be1e61ae333d4c68707e9cef56","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -5, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d24be61aca66d411b8437be379020ea8b3930d3024544ed874eb5a89bf43f88e","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000198"},{"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_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"}],"source_transition_id":"sha256:cb19716712e4ecb8cca148e1fd0837b0a75670f3a01f1099b3500d6939c36e3a","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000198"}],"task_id":"vlr-formal-v2-0000198","trajectory_id":"vlr-formal-v2-0000198-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:f05092591a435fb1e97bcf07412e3b245c9f56807d07d722389923e27449aeb8","sample_id":"sha256:e5fed4382e9a12632680698f5b4435bcbf9d9fd90df507a5d3c60c4b5733b973","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:3a3cfc427c1cd97242c33e476645ccba26090d02695c34a1d4f45e6bd77b31f4","candidate_id":"sha256:7c3cf8303490f08d9c19ef1a897b1645fdfcfcacb4739d4056ba8b48032ba943","certified":false,"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":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 4, 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:dcaaff8e93d786e4354bd7afa529c7e1d16b782b9bd6ba34d77ac5fa0abfc0ff"},"incumbent_state_id":"sha256:49d1e7868df8f908e2a48bfc12ea16253b5c9139254cf0b642bfb9720558f3d0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (2, 4, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2571e07815ae75f8f66eb78f94a6e0b1312f606d806c465319a4aef77460a85a","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000199"},{"accepted":{"artifact_digest":"sha256:9606cfa9e7f1142dee6c79d46fcec7dbfb061c46eea40faadca218fb97b0fd63","candidate_id":"sha256:ca9d29b9439599d337c5f28f238aadd8c64f520c6776cf717fecd60643084088","certified":false,"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"},"text":"def 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","verification_digest":"sha256:002dce7806c79c9ac30afa6d12a6f23d50bc697f3746a5b49843b174fa71f1a6"},"incumbent_state_id":"sha256:7c3cf8303490f08d9c19ef1a897b1645fdfcfcacb4739d4056ba8b48032ba943","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4e5158b6ee7f227b9e88aa4d1f19c91a74a70923a3babbbea009bc4d58faa88a","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000199"},{"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_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"}],"source_transition_id":"sha256:8d6db1a8f73c68c407481c19357298a4ee623439bec2e608ee8458556fc89123","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000199"}],"task_id":"vlr-formal-v2-0000199","trajectory_id":"vlr-formal-v2-0000199-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:1a93d9709961edd106f6e8bb63a6ca13a68d541ef489bbff0f225798a86cb9fe","sample_id":"sha256:96b5e5e34e4fe1c7d44a2a1204a08243be088e9d9b00bee253c71a4547dfa56a","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:3c55828527c61049c25e1df6bb6183ac3005a440aa2faead3105536425dcf1f3","candidate_id":"sha256:3b069888b4c423181da034de9b598749a0f960765b9d958e2e0f4bae6e868b36","certified":false,"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"},"text":"def 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","verification_digest":"sha256:b532294ef30386a3255b49d61ba06f3895017a214500d19744d96d2623a72b5b"},"incumbent_state_id":"sha256:87406cf8d9c510ff16cd991fcb47da47bf3c31ec99603be22c95e8b50a84edbc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3, -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=12\nfailed_count=6\nfailed_obligation_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f8da9cebbe9e89d7d1626f57682a27447b217056d77c1abc406ec56190310a79","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000208"},{"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_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"}],"source_transition_id":"sha256:e91b0ee8cc8ca444d9e3503171691d1da0af24e2dac57b031d0beb16daa97e20","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000208"}],"task_id":"vlr-formal-v2-0000208","trajectory_id":"vlr-formal-v2-0000208-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:756cf99edacd1cb3e17300067a992fb10410635c806ddc0b6b1ae5139647cfc6","sample_id":"sha256:a68afeebf05407c19cdc04e6db259e156f3e44df7dc5ed37fbb91178ad498f40","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:16e25573efaea14d7b97200bf241d11a2850d3309bf6deb8918bf359e6eab103","candidate_id":"sha256:38b9c6dfb3455ebfaaca6a12b2a1671fa7e9ebc18634d699ef8bc5780c3ce393","certified":false,"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":[1,0,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 1, 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":"sha256:4f1a7e635b2128923e6326304d52f538a049ec3c0c4d2f6df030fd62e4afad0f"},"incumbent_state_id":"sha256:970dc0e09d3e855d347b9545f655d476d4dcb1f9e3e25b43ba01b7306b05f03c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 1, 4, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4905ea9a7c67bef5df65ff821f994b237cf587e8b7e4074a4b168dd1a817fa17","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000209"},{"accepted":{"artifact_digest":"sha256:33a875e176d6a862f62fc7e87ef16fef83f110d5b38fe7a02d7fc317cb159c1d","candidate_id":"sha256:e85f460cffa8a8bd54249b706f9c90cddb30b3023608c7d007311fee6fd63f57","certified":false,"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":[1,0,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 1, 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":"sha256:457f4c453746536f912c4a3af0ff9b20c86b966a75ac063dda824afb8b47650f"},"incumbent_state_id":"sha256:38b9c6dfb3455ebfaaca6a12b2a1671fa7e9ebc18634d699ef8bc5780c3ce393","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 1, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1dbafda5f2a882f373e7fda90fb0b0119cc76c57ef0e45c3854ef6eed2bfb370","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000209"},{"accepted":{"artifact_digest":"sha256:fd95d1cc90947800bf6fdd426baf008c53f7f2ce2bebbc86a6366b93a25af4e6","candidate_id":"sha256:0bde578014b3d8dbf2f4a97c1da5ce44c2dfb897bfefd927a1ed85a13a5dc315","certified":false,"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"},"text":"def 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","verification_digest":"sha256:7270491589404cd2200b6d793b72dab98b778aacb3f10f2749dbfc3232714de6"},"incumbent_state_id":"sha256:e85f460cffa8a8bd54249b706f9c90cddb30b3023608c7d007311fee6fd63f57","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 1, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1f93cac1b2557a33a84e89bb2a0061c8f2b1915b4208224193b04bc3b7495abe","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000209"},{"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_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"}],"source_transition_id":"sha256:338a2e08e26ad07b93f5898fc6b28bc33dc12f1fc41c79fc8b3b22676eaf0f88","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000209"}],"task_id":"vlr-formal-v2-0000209","trajectory_id":"vlr-formal-v2-0000209-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:69a140df09cdd982e3a2bf3eebc0ffd485d8ae91177a97bf30c1528723e1ccf6","sample_id":"sha256:04a102ae376075c57effed64fb16afe40f2dfc4da0fd0a74595b4275018d23a3","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:e40086e2f89453cee12793c5e59b15f07ce50c36895ebec8fd6ad549cedd013a","candidate_id":"sha256:ee1c68f9c2483abbb7da2dfce02ed981b671d74a6b49eb8d7aba9e8cc014e273","certified":false,"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":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (5, 5, -1, 4, 5, 6)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:3c0bf3084b6fb6c2049901b9a565131b9b77d185f12ecb85dc6102c8534be1e8"},"incumbent_state_id":"sha256:40dadbdd547d190940eb3d503d0715df16c5f84443b665193cc62640831b3d49","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 5, -1, 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=3\nfailed_count=15\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:358829edcf250ef6e8c74f5e9e8fa05c6f91b42838468840942f003ced35e746","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000218"},{"accepted":{"artifact_digest":"sha256:4413b08112ee91b95f3177dfb2cd2e89316606dbfad3243568bf12dcff58f28d","candidate_id":"sha256:b2d881e1e09365d503f6f8d98460c4dcd2234cbfea7bebc075f771596a37dbda","certified":false,"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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (5, 5, 6, 4, 5, 6)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:7fe53a3b3e61840f7c0499bf450effd624b6837220084cfb82313f8aac7617dd"},"incumbent_state_id":"sha256:ee1c68f9c2483abbb7da2dfce02ed981b671d74a6b49eb8d7aba9e8cc014e273","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 5, -1, 4, 5, 6)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:631b77632971e388da39554cf6de599586939dc4c070f3e69da3b26e267e66a4","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000218"},{"accepted":{"artifact_digest":"sha256:d32424d56cd9d81f3db2f99b095b95b18041df7779aad7652720c17c0a74619d","candidate_id":"sha256:2d870d432533e363d4c6e30c47ca6532d9f236ad695e4f0667672df37c2eaef0","certified":false,"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (5, 5, 6, -7, 5, 6)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:94d7b398a2d54a2d43ffaf0e48ad9aa75404ac73947d8830dfde662e033deadb"},"incumbent_state_id":"sha256:b2d881e1e09365d503f6f8d98460c4dcd2234cbfea7bebc075f771596a37dbda","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 5, 6, 4, 5, 6)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e87aa47c44c441f344b985147e478112cf8684ca11727255bdbdeb945e8eab7f","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000218"},{"accepted":{"artifact_digest":"sha256:b2f0553da702bedc200ddb5bb87d87e5ec40e7924eb2c56f3d2c5cbe20aebb84","candidate_id":"sha256:fbc1ae12aa1d1272f6da5c5e136be9d666881be441e434c241f4d849bb1ebf1b","certified":false,"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"},"text":"def 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","verification_digest":"sha256:379e10f62bb33e9bdfcdfc32a552f4d5fd28f4ebe12a9c790d56b286b365c428"},"incumbent_state_id":"sha256:2d870d432533e363d4c6e30c47ca6532d9f236ad695e4f0667672df37c2eaef0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:60e39d3ed434bde5da5f8e358cafefb97a25f26adfeaf6ab9f62eab8e4b10487","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000218"},{"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_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"}],"source_transition_id":"sha256:9fd329be942d23981f469e7f89391f9ecf7967649786507c3d21e97e891bfd16","split":"test","step_index":4,"task_id":"vlr-formal-v2-0000218"}],"task_id":"vlr-formal-v2-0000218","trajectory_id":"vlr-formal-v2-0000218-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:5da3dd4c401a378b935a253c49746bb58ec76513583a47412dd2f79b36cc9650","sample_id":"sha256:ad5dc11f9ae2f308d8e477069d5f95e3bc5d9b4b67880c4fb6c0cf10dabb050e","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:a2971640ac73c676461cef928b9ce303cef6884020c50995c0ff0e87745348b1","candidate_id":"sha256:a2bcdec21e6be39f5f50296ad2d67e6bef08d033c8545d92cd0c917696cdf5eb","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 5, 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:ee329619072c4977da232f1b49ab3175d88cc0b31c72e002af4d2a7067fd16b6"},"incumbent_state_id":"sha256:286b55df574e92a49a6984f9bf9bfc5fbd4f92974cf08b95bcc7b73cb4ed0b24","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7e7e8511a0edd6c1d143d11d6bcf542e60668bcf5d50858286e8b386e5cf7dee","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000219"},{"accepted":{"artifact_digest":"sha256:da13717a388b6539d57fe58f307c830d56d254e6a0228b9be91fb3f4ee971629","candidate_id":"sha256:d39ff0630dc5afe138d4b7887a009351a98cc2959d11058a17d345b0114d24e5","certified":false,"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"},"text":"def 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","verification_digest":"sha256:6f333b44ad06c8769889e83394c64009a90d41c8bfbe1f20f9cc02158cfbe304"},"incumbent_state_id":"sha256:a2bcdec21e6be39f5f50296ad2d67e6bef08d033c8545d92cd0c917696cdf5eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 5, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:47f6f5089d04486c5b281dc740b49fffb1f646fab6bf6da228db7419b11c9194","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000219"},{"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_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"}],"source_transition_id":"sha256:803f5110a6f373aa4f388986c2fb317f6664cdaedc48b56ee5dece48b263b281","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000219"}],"task_id":"vlr-formal-v2-0000219","trajectory_id":"vlr-formal-v2-0000219-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:181695e3918112aa4d0b899c02e5bbc6d0eafcbe94cebeda877057b6419d3b89","sample_id":"sha256:d199a650b9eaf5ba7af65f34278f9d6f09e65e32d62ca1975f3be181458a83f6","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:977d9fde6ed8bd5da3e140cb75f947a129c1b086868147f7db4a1802b1fe9dc3","candidate_id":"sha256:f57397d523f09482c95fceb7b8b9bb5f5b630ca8038543b1067893aa2c909a96","certified":false,"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"},"text":"def 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","verification_digest":"sha256:45b26cf64e56532b9f8672193071f57184ea23dba1ab955c68215aeb0f7c6fd7"},"incumbent_state_id":"sha256:13e4fe823948ef7a7651cb873c25cab860960336b8bbcca2fbed4570b02e0359","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (-2, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a91cee65b1b1c136ee13703a239bbb39f3f3fcb3cc3af8c1fa2474de8946c424","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000228"},{"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_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"}],"source_transition_id":"sha256:0e0c15249f7da30dc883643862e36631be5591b168f5b524847777bc8a400547","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000228"}],"task_id":"vlr-formal-v2-0000228","trajectory_id":"vlr-formal-v2-0000228-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:340dd7d91f0d9d8bbba99bf12865870a801a16643c30c7da2fb1a2a9f40583cd","sample_id":"sha256:9e0a5601246d135191a3a327429e7ef1d6d7a11a5fbe185a7bbc7a18c905d6de","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:bfdb1f07915326f5f95d67ad3d37d7ca1110bc945ce5e996f279498ea7ec3825","candidate_id":"sha256:a45d8b549c40f2f68d6696a9a08074c998b98d9708a73c00531b938eb9104b32","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 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":"sha256:773974d9be44b31cbdc24ab46977fbbf7d492857e6031e96e886c162ff0ae098"},"incumbent_state_id":"sha256:ca20800330f4780ecba8a124f7cb7ac5614639103d4be888dadab1aca1839b82","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=3\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:34eabfa22b7da7807dfca79bf3a115e28fd4688a4dfbf2c04addea70edcddd7d","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000229"},{"accepted":{"artifact_digest":"sha256:d8f0cad1c7d624e911ac82f00638389754f4941e376374e073326c960e30766e","candidate_id":"sha256:2bbf961092e0a6830b3cc89b70adcb0cd09d6026a0418c88e249da46f3525176","certified":false,"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"},"text":"def 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","verification_digest":"sha256:525bae80334a112edeb111f6e89a6c6bc0daa3651025cf129fccbedb2aa85428"},"incumbent_state_id":"sha256:a45d8b549c40f2f68d6696a9a08074c998b98d9708a73c00531b938eb9104b32","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4d02de49a4450e0916eece28242961ac1809c19d8e933b5f6b700899c4ad070f","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000229"},{"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_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"}],"source_transition_id":"sha256:2df2ef99f8f0a29fa6399ce5e313519b460440d3cf36f2ba578fd7fa5c16a69f","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000229"}],"task_id":"vlr-formal-v2-0000229","trajectory_id":"vlr-formal-v2-0000229-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:3472684f2f6cd3a41e04bdc7febb692d48308edd27d314347b6e10082a599391","sample_id":"sha256:d7c1c98225d593b05817ea6c4e5f9209744118b1b69dbcf37c97308c3da5de89","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:5e2aca9a5622e0d75e6cc5eafb870365772625c2715bd9332057f54962de376e","candidate_id":"sha256:37f3c171622135fe27ef3f3a9e4c04b6bc6cb88872c0186c1b5273cdfc62d37f","certified":false,"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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (0, 0, 1, 6, -7, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:8a50fcb27c1c5b4856e9e1e869f5df2bf6d1fd373b8678b02d0684647e694687"},"incumbent_state_id":"sha256:e480d11c151ddd7a579a46666e2d8235cd975b6063438442c9dc3a649c09affa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 4, 1, 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=9\nfailed_count=9\nfailed_obligation_ids=[\"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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:66f912b6351ea1533276846e21f9d540477829ac1b1d9e313c7af742373a71b4","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000238"},{"accepted":{"artifact_digest":"sha256:0c9a86feeb8c2685b087885b19b32e973f89205be4a46d48e76e2788362edecf","candidate_id":"sha256:ac10a3d4abef4f6c1838568b32ba76787bf2c94c98299f5b0efd78944829132c","certified":false,"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"},"text":"def 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","verification_digest":"sha256:309f35df2e5afa04c827e2df7f68cb36fa96f538871b940d2bc5fd0f5a405b1c"},"incumbent_state_id":"sha256:37f3c171622135fe27ef3f3a9e4c04b6bc6cb88872c0186c1b5273cdfc62d37f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 1, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:41015bf641c0c1b176b5406dcbfcc528872f154eb9b39d088e6e250759b25fe0","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000238"},{"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_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"}],"source_transition_id":"sha256:f35d551081a740b7d3b8217a5d32ce7871867161496f8a6e6a251d81edb6cd37","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000238"}],"task_id":"vlr-formal-v2-0000238","trajectory_id":"vlr-formal-v2-0000238-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:12eb08f72f85208a81fa666333af688e9307778710d9b81e2145daea7acb2de0","sample_id":"sha256:edc1edd520a0d61dd5ec21135f77f1314d12509ffd916d4187f31661a9eaf536","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:8bd7db628831a9285e590d2b17cb8b7537b79adb9c196e1d8f46d14086231158","candidate_id":"sha256:2988f0f6cba064feec49c91b1645af74ffe17278ef00ddde9399f5f621a7c416","certified":false,"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":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (2, 2, 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":"sha256:8b3941354f01d810a2092389f9db4a9efa7ee21032d3cbc566560bcadc8358d4"},"incumbent_state_id":"sha256:d7614adf3ba33f72703d315ac1222fc96fb039ce67ed4dfae2ce920a99e9b43a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (3, 2, 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```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e03027b525afc1d977ed62a411bf9bc25c0425d47b11f6a5a7890e77d0a8da38","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000239"},{"accepted":{"artifact_digest":"sha256:aa158e2ac2980198f9ccb99ea4e7a1cfd667e37ee6389fb8e49792b292dec354","candidate_id":"sha256:8ee653dae9cc5c6c03fe16e4823fb66d93bac7bc44695810441ce45430c2cda9","certified":false,"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"},"text":"def 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","verification_digest":"sha256:144fa159c1199321a68bb63639a18e7931331cea778949590f8215e40df61824"},"incumbent_state_id":"sha256:2988f0f6cba064feec49c91b1645af74ffe17278ef00ddde9399f5f621a7c416","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c97d7a7016664004ef57498fef911956e5f3cdc409e6048cd9ea633592759b78","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000239"},{"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_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"}],"source_transition_id":"sha256:b25e2286cd8dc7e82a2fe82bc6f7b15f5ac2bd355bcdd2a6eb5c54590c1508c4","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000239"}],"task_id":"vlr-formal-v2-0000239","trajectory_id":"vlr-formal-v2-0000239-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:8cdacf4a5fb9072db8744cc25b1ee43995aa43f9e484c50301b6d0b2a54e36b2","sample_id":"sha256:2e2a90fd2ac60001c0773be1563513b7cde75c0ad320880207aac05854c299db","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:57a719929a46a8bde1f5fb1c0643045122daf2bfed6f6b4793fb1f887644c29d","candidate_id":"sha256:7b05705d8713ff95f289286eb99e63a6473994de4f1c4cc9c049684ed0ae6276","certified":false,"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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (5, -8, 2, 4, -3, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:7c62938b786f49dfa01d9751ba6ad79c6e5455c01a89dd5f8056003fa87c1557"},"incumbent_state_id":"sha256:583f7596bb09ce97bab39ca3aa5a77f3ae3265c531ad5d9a777f6112e280b069","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (1, -8, 2, 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=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:75f802dcb250543cb371803696f302dae041fe9b8676f39bb15985eac6ed9742","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000248"},{"accepted":{"artifact_digest":"sha256:613aec93c897a55d2b97169d1403b50e240869c298f9d09fa45c9222c3bae9a7","candidate_id":"sha256:5b2fc28cd44aebeddbbe59ad56632b6170d89e4c37b2b5c5b1f0eb9b7e787aa5","certified":false,"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"},"text":"def 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","verification_digest":"sha256:94c4b4fc92b03da27d65d2c340bae248f107556661dfdb0a34c7abbf540b147f"},"incumbent_state_id":"sha256:7b05705d8713ff95f289286eb99e63a6473994de4f1c4cc9c049684ed0ae6276","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 2, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0c52ce5663ff0185fd0fdb116dbdb1035d26bcd5decc74930188fea24ad07cb1","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000248"},{"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_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"}],"source_transition_id":"sha256:732581fd473c23ccd8f4ac05d674cf7ffa2514538bcfd17d678e51a46c28a633","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000248"}],"task_id":"vlr-formal-v2-0000248","trajectory_id":"vlr-formal-v2-0000248-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:e4acd7e12a5cf1ff7c457ef35a8e6d85c831e1b97eb55d63d6198185bbb266dc","sample_id":"sha256:b6e725df37d6b32977db547242e169bace93fee66b92766acddffbee06e11d6f","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:0730d3bcbbbaf0c6fd09590e48daa102bde6b974f1c6fb48d7d4ee3d5a7d60eb","candidate_id":"sha256:23dc32e6abf9c3488830d3bf1e93679d40eab16e22b3b6150817ceff95dd6ac7","certified":false,"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"},"text":"def 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","verification_digest":"sha256:cf589b0fb2cedf33d897686eb12f9ff3adcd3d472eac35108d0af859322fd0a7"},"incumbent_state_id":"sha256:9d748f2b14b0800fdb3fcf54d8e35abc09208cae4dd43bd4c08826de702779aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b6a2eab41ac6765743a8bcf34aaf3ec9541e2e5942c04fe905548249836ae2fc","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000249"},{"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_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"}],"source_transition_id":"sha256:bfa8800235981ca8e8b1b2cf35160fa156b4c42a55febeb0fe7884924a706bde","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000249"}],"task_id":"vlr-formal-v2-0000249","trajectory_id":"vlr-formal-v2-0000249-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:77bdb7dffea90fd926900e294fcc08473c4c80e0fc6d8035d1c60010737ed345","sample_id":"sha256:7711231e286a10f377ba24caaf55fcde4336f9bb39e7aa22b82718d613351317","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:c7de65a57102ef63934a1f066a4b0e1574e37ac77ee7cc155a24592212a7b790","candidate_id":"sha256:8c8a8f3d9e0cfb4b24082640ae6af53303ef24468032a87ba2895ac14627eb55","certified":false,"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"},"text":"def 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","verification_digest":"sha256:ca4235a0368ef0591254a47d2bdc0faf2e56290a1cb5fd3343a62be621ef217a"},"incumbent_state_id":"sha256:bc0b07e30aa6915831b2222448e4df74daa88b387d126aea9391cf1390c60fe6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -6, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:df43c08420ab88eeed642ab4d31d88b501402f8d05af1a7120fa0d13bdc5aa96","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000258"},{"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_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"}],"source_transition_id":"sha256:9784e0c9dc6e627179b72b34bc8844398bb41844b5025b8d004c2d9f2a5b9d02","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000258"}],"task_id":"vlr-formal-v2-0000258","trajectory_id":"vlr-formal-v2-0000258-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:7c6a43b782b1a071c1656692e2607f7dbc61f4bb16f3b84b31101ffe273eebeb","sample_id":"sha256:96b3ba27017a91bc30b4903c797053c74e552cc6e3d5aae50d68b948530b01bb","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:f25cdf1a4088adf3ba94994502c94c2ef4953724cff37e0554dcd186e80aa4a9","candidate_id":"sha256:5d005178cd8914cb8c5342aa1042d73321c231b82ab399501ee483b03028b4c4","certified":false,"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":[1,0,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 5, 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":"sha256:18699bd47222fd4a11e894433623586aa93bb689b7eb086c8f4197c789a350a0"},"incumbent_state_id":"sha256:5c35d7a5202eea05937dc9bb2961e4bd3f080887f2308b1b0d3c5a8fb814a8b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:63d2a81d7f8c0245a57990900cde0a67a5e0ff8e66cde8eab15081b0786f84d5","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000259"},{"accepted":{"artifact_digest":"sha256:8167938450ac9f5c3a143d53bbd3c568ea34eab415cb4bd343526c113b3bb7ba","candidate_id":"sha256:a7f505cab001db10613a837e39342c0df216c6413959a73c2f7bc0dedc9c2f08","certified":false,"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"},"text":"def 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","verification_digest":"sha256:206fed3998307ac3f5257cc549c9c447f6dc85718fd1cf81296df49ddab8d78c"},"incumbent_state_id":"sha256:5d005178cd8914cb8c5342aa1042d73321c231b82ab399501ee483b03028b4c4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_006\", \"bit_rotate.protected.case_007\", \"bit_rotate.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6be9cbe99ef363259f79231ee17b2536555522fa4a8902886fa2750656830e63","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000259"},{"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_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"}],"source_transition_id":"sha256:b2cfd1ca9b1e28c7c8f08d1edaea1db866772c194ac45d13ac0d5fcb524683ef","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000259"}],"task_id":"vlr-formal-v2-0000259","trajectory_id":"vlr-formal-v2-0000259-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:2740ea8ee3d61f116401675200b2891b9b9be51f809328954c7f9b04ec87504d","sample_id":"sha256:a1bdda70f4375071a8b1b0565286df77b93710fe99a20145d75e865337365a93","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:caa6002243b8adfab67cf26ac77ad52f5c242b2b55fe22ee62e40553728c9fd9","candidate_id":"sha256:69000a086d4d53382fb47fadef841d1b6da75bbfd48bc6a3856e35cb6ee0ddcf","certified":false,"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"},"text":"def 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","verification_digest":"sha256:677523567e2fa0f0c610c4428ba336b22d977072696edae73e6a63eadd3e625f"},"incumbent_state_id":"sha256:2c57b4e9bc3d2ca46deea0aecb29a7f78f1e3f95baaaf867104c4658f5e0ad29","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 1, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2492baff893233bbc48adb5dcc3748f865ff732d59ab6904aa2d356ce5b1c90e","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000268"},{"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_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"}],"source_transition_id":"sha256:466d9f9d2f24394fcf782c26d2830866531bce6be046c07cc0ecdb5d94381a9a","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000268"}],"task_id":"vlr-formal-v2-0000268","trajectory_id":"vlr-formal-v2-0000268-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:e1dffe1a07d82049e5322b5e87568128d82df3c9b817959452a05ddf8bb601fe","sample_id":"sha256:dbb7a7baef8481c0217c8ff82e934127231cb90a33af145214573c6d0d9b33c2","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:33a875e176d6a862f62fc7e87ef16fef83f110d5b38fe7a02d7fc317cb159c1d","candidate_id":"sha256:f1b2d670b066fe31a39c42feea201eabc6d9aafdd5a74cc2155961fc9692e3b2","certified":false,"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":[1,0,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 1, 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:f536810d0031f3eaec9dea505afda27470d51ea29719827c47f3ee7f4a6f9ed1"},"incumbent_state_id":"sha256:f664c41fed4911545bcd23616bed3ebb41e7be81c285e30b4134052a7deaa961","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (1, 3, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:497c29a4c7d1144435063b977aea8c40b04664aa15f4cc0fe0588f012fb1a68b","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000269"},{"accepted":{"artifact_digest":"sha256:9afe8441e3998a920b1a08652ed2fb8bc8723edaee712e1918f2eab171e33e29","candidate_id":"sha256:b861041bfba290883cd6369f596f3fb4404181316e90e46918fdf2c45129aaef","certified":false,"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":[1,0,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 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","verification_digest":"sha256:8b5488f86ccd92efd99fe7094134430c32b77b692bbaeb384dfdb5ab89733413"},"incumbent_state_id":"sha256:f1b2d670b066fe31a39c42feea201eabc6d9aafdd5a74cc2155961fc9692e3b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (1, 1, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9d73dfdfdfce54f3ab3f97e043766d79e950dddad2a7d7b6eb80935b4bfedc3d","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000269"},{"accepted":{"artifact_digest":"sha256:ce06e83876816a82f3c2198a74a771f0441bdcc578221f3e3b4f85ae520b1c72","candidate_id":"sha256:7167d47577cf3da8079f40145ae030d67ac4b425ffc8c5cfc1251ac1fd6417b6","certified":false,"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"},"text":"def 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","verification_digest":"sha256:e11fbb3e0bee86f9aafc6ad0e682b43cfa9deed1290f7d921c2463496f3fe45e"},"incumbent_state_id":"sha256:b861041bfba290883cd6369f596f3fb4404181316e90e46918fdf2c45129aaef","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (1, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2376e5b8f61fea4e33c9cb5ff123e324ce82d66851d5605291fc05370fb05e53","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000269"},{"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_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"}],"source_transition_id":"sha256:fea5373b137f4dbc4e35b2fa7abed02f685c1c19620852e26ccfc440d260c184","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000269"}],"task_id":"vlr-formal-v2-0000269","trajectory_id":"vlr-formal-v2-0000269-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:1300f69d190754d1af761ade0be9e371c249a39feafdb73b033e943adbcf6fc9","sample_id":"sha256:a2f5354af036d518a6ad684431d7ed96a39be77fcd11ac60966268f3dc17243b","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:117adadd04fea88d38ab2cd20ac4980de5f17fdc95dd54307c219dbe8ad8e09c","candidate_id":"sha256:7cf77bc0b9e9fa384382cb00c413bd26bb06b283c0a90f57784596425da0770d","certified":false,"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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-7, -1, 6, 5, -6, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:0c5a70a58d275fb9eba185a21941fe17adeac8e4faf06c355e5995a3c3b59e5b"},"incumbent_state_id":"sha256:adf3c94a926ff7a6f1928abf88ec99c3e5a74fe502eb8106ba7a03150696dc1d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (-1, -1, 6, 5, -6, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:657d6edd0914c71fd490480b4ec4e8e1ffe2f246d4aaeb87824ca6f56493424c","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000278"},{"accepted":{"artifact_digest":"sha256:8a39580af3a7d1ba4e1aa0373e92d941639fdc6c41a049185cc8c00f48db21b1","candidate_id":"sha256:0965276789084b3566308d034cb0412aef0a40f9ad6e800b4e25eaa8193e52e6","certified":false,"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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-7, -1, 6, -4, -6, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:93a3a63c80e2d4dc5efdf21f62ddc7fcf96597f9cd134858ff783958df964fe1"},"incumbent_state_id":"sha256:7cf77bc0b9e9fa384382cb00c413bd26bb06b283c0a90f57784596425da0770d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 6, 5, -6, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:43da805fe50653a3bdbc7945e782a4ab12f8b262ff8774ffcb477c02ef33f22c","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000278"},{"accepted":{"artifact_digest":"sha256:43e95c15a5b5de2e6493de35100383c8ee808c6eec410f00c990dd4a1b7f62e8","candidate_id":"sha256:03b8e905b8e0ba1b62a6c394d199b19aa7437762d44db9e8a41c658215a7873e","certified":false,"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"},"text":"def 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","verification_digest":"sha256:cd1b25f4cf1251ade50ca0ef81139c2a7cf4ea8fadb0bb0aea0c6d173b8e6ee6"},"incumbent_state_id":"sha256:0965276789084b3566308d034cb0412aef0a40f9ad6e800b4e25eaa8193e52e6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 6, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b0d0e35f60efa051feee6004935288d3a05bf415d9012df6843dfae0944bc937","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000278"},{"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_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"}],"source_transition_id":"sha256:6da6d9058b020c778603b5617d982394e71d7a9cc4655c2b169d5e6e91604dc4","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000278"}],"task_id":"vlr-formal-v2-0000278","trajectory_id":"vlr-formal-v2-0000278-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:ac7552956d78c80b31ca7533d53f236337598ce5a5122fe530f064903ded5b95","sample_id":"sha256:d0eb6e9c30112230e76f5420965aec4a8c274bacae6b543a66df10616a6ed421","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:b46365a12946f548e0c4d3758455caadfd2c2d8de0144a7905b3495f644fadaa","candidate_id":"sha256:fcfafa2a816a82ea4b881a68eca281f66ec037925484e90745c5ce9de1315cc1","certified":false,"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"},"text":"def 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","verification_digest":"sha256:2f853eee043d7c9e6db465d2464b0ea6464bacd18f987088d1946a5d0fab90a4"},"incumbent_state_id":"sha256:2ffe4c61001dc6d01085dabf039f5aae3c8f4e6afe4a04816ccde778ee71af70","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a30947b587717532a394e0eb32b1531a1bfc818aaf9d06bac08dcef7e96eed79","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000279"},{"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_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"}],"source_transition_id":"sha256:6cd8b87cea2d08cdada05bb0d13978687fdaf826de92f6d1ff6937f90caad2b5","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000279"}],"task_id":"vlr-formal-v2-0000279","trajectory_id":"vlr-formal-v2-0000279-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:f8538241bc095e90a7464fb7235b61785eb165cac1ffb031fbe022f709a4bf7c","sample_id":"sha256:c8b1f33d487126ce88a6db56a8fb9c9cc56ccc1d9c7125b9100692fd5b417dbb","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:ab710f8af885da878a90adc257d83b21e76e47adedef2b4c96853398331e0e49","candidate_id":"sha256:d1b9bd7fd53e30b5b718f8b59603d088f92406816ce0f0c388395ccbfc96920b","certified":false,"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"},"text":"def 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","verification_digest":"sha256:6f068d19ae81ad73383e9194bcf548ddfa4db3d2a3a9157187e08353fb445210"},"incumbent_state_id":"sha256:7ddaa8b206ed9a5f552ad7105bb3de2784682822aaa9081fd2dc3e98b63ea603","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -3, -4, -6)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:555cedfe561d891d7eed4cad91845f2550929999bd69441d57e8bacfb98f3119","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000288"},{"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_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"}],"source_transition_id":"sha256:76452958703378cadd90aa83664d606459b3a02caae1b12cda650b3247a75fd4","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000288"}],"task_id":"vlr-formal-v2-0000288","trajectory_id":"vlr-formal-v2-0000288-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:a4b5517bbe19107ce1e398f5de32bd83c54a9c5b0e89075e4ab6124f2439dea0","sample_id":"sha256:56d6d058705892d75789858b524fb78d54aa370b945ecc435d0ca73ab5620b58","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:977bd4a438a1b708efd70652aa8dab4d5656dc14ea0e1723307d060b41a719e7","candidate_id":"sha256:af6cdbfaf3ed1b3c16a8fccbdaaf90f027c0324685d52c3c0e796f798ee4a9bf","certified":false,"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":[1,0,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (5, 5, 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":"sha256:6c59c1504c926687107efc3e236813d39cb08a48a70054ad17976b4824a88132"},"incumbent_state_id":"sha256:da3808b96933ef6043f26f7d8a03ea5abadc142b43024bffbd742cb894bb19bc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 5, 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=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:75dc4a1028d40c206982ef88330d8d2b42679e027433f8651087cb9397f17bb9","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000289"},{"accepted":{"artifact_digest":"sha256:be0b6ccc6fe52489fb9959581af5c9d3db75c7660c0dea94bb36f0e39fac8f53","candidate_id":"sha256:4eac06138825d083f3ffbe60ed1232de5a9d8da0de8a3e9f9f8ff133defeea76","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 5, 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:b44bc354f9a6250eb74c7493a5f3ec0dd4d633bde213fdd8abf6fe054887f8d2"},"incumbent_state_id":"sha256:af6cdbfaf3ed1b3c16a8fccbdaaf90f027c0324685d52c3c0e796f798ee4a9bf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 5, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:928b1ee9af454c274c6caf26ae6663bf6115a91708c0b08520ac12dc72f8c0f9","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000289"},{"accepted":{"artifact_digest":"sha256:ce51dab08733b221da93b6fb2765468b3e74c56a91248477c0d36c5df1456242","candidate_id":"sha256:065dbe7b9b34779e625c8db6d149ef7f2f3b507e6a2c11a6c94ae1d5ddf366a1","certified":false,"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"},"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":"sha256:935050d06bd38c95e6eb64bcbad60079b82c05e0f32818363722e5f08a470e9e"},"incumbent_state_id":"sha256:4eac06138825d083f3ffbe60ed1232de5a9d8da0de8a3e9f9f8ff133defeea76","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a85ba1f524704e609f79f0593aab7c082a24f50200dd9af0cdc5d634adda0c32","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000289"},{"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_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"}],"source_transition_id":"sha256:0e7023b34203708dd4b80dfb869fe6f18bcbe855e2aaf5db1ed1449fc527401d","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000289"}],"task_id":"vlr-formal-v2-0000289","trajectory_id":"vlr-formal-v2-0000289-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:a8c8beea8f4ac8267e5d5cf73c2ef2357c321ffb77d1e8e08b1e08e99ae606e3","sample_id":"sha256:c290d384dd964ee74b93747cb84be9c322344799442afc813b467cac3fb4e624","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:b21647d788ed60b950773b57970b381d598ab9943d80a805513d74208bce5cb4","candidate_id":"sha256:afe653135c26f647d6f8894fdd829ab8e62893d739cebbc67480137a3fcc8507","certified":false,"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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def 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","verification_digest":"sha256:0dd9b1bf878f779d9cc89961e0e142876bcda9c7116886792936e6196be18980"},"incumbent_state_id":"sha256:c0930398ab849bf8bad837a7c3e21da5c806e9d9c465313a24573307a4e26901","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -5, -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=9\nfailed_count=9\nfailed_obligation_ids=[\"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_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:da4e7e620db0d9197c29fad7a9ac66badd59b5d2880c531ed26d56cd168ce8ff","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000298"},{"accepted":{"artifact_digest":"sha256:cb38918aa696fb3cbc2e85c93e9eec26a5aed87d87347d09319774e12dc4fb9b","candidate_id":"sha256:4c52434d9d1760237788bc3a86b52fbec227ca105b0cf5f5e631484d14e92da0","certified":false,"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"},"text":"def 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","verification_digest":"sha256:0724b7e41985343e0008eadfb13d8d38030e8027e5abc1761c0459ac12ca819d"},"incumbent_state_id":"sha256:afe653135c26f647d6f8894fdd829ab8e62893d739cebbc67480137a3fcc8507","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8a4048c36842eaf12bc07367831850967e981a9a09af237dd12a8dd384363650","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000298"},{"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_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"}],"source_transition_id":"sha256:ecefdbe2cecfd5438020aa3c5b42562d632c956bb3116c5456a2525a18c7ef8e","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000298"}],"task_id":"vlr-formal-v2-0000298","trajectory_id":"vlr-formal-v2-0000298-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:68c23414f3e7bc33332f98045468293acac95fa4b4033a88aff0b534fbd11c9d","sample_id":"sha256:466c6d73f0e18f3fa59f3a250e2833330e37b98d89021b03e555c39b2d41344e","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:6e66a612ad5e77385c3d0924bce375fd13024c0e19ee56c7a91fa8d54d8d14bb","candidate_id":"sha256:68ffa59acd3cecd9fe0d445665152b503809d299e5cd682dafa9149a168fd447","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 3, 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":"sha256:1f1e0a9a21c0d4fa9274bf3fe98f8b0da70401cafabd4a8cafae1c93aa052bca"},"incumbent_state_id":"sha256:e946882d7ac47eddb246968afb3f35255fc7236a76f8778bca01db306b1d6dab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=3\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8077d3d75548cf223debfd3b4266ccbab658e515e4ce6aea517354a53817a9a3","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000299"},{"accepted":{"artifact_digest":"sha256:3f726a36ec5d70ed671cb5d8ee60c90fa4011bedcd741c50f84b06093362c7ff","candidate_id":"sha256:4ab682b3427bacf6a5efdf233393e911bbde0a6c3402bd9cf1df27974a7af839","certified":false,"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"},"text":"def 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","verification_digest":"sha256:2bb79cddf9b3041ff4c2235570f21cef98d55178a20f6a89a6dfc138aa34f75b"},"incumbent_state_id":"sha256:68ffa59acd3cecd9fe0d445665152b503809d299e5cd682dafa9149a168fd447","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:91b90410e8b2c2c39e4d8a04b200475851a56f16a1416a35c93cf2a1a0a2d26d","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000299"},{"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_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"}],"source_transition_id":"sha256:ef91bae67490a4889399d4caa02c0d6dc33614a58be941f7bafe12b297668257","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000299"}],"task_id":"vlr-formal-v2-0000299","trajectory_id":"vlr-formal-v2-0000299-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:87ce5c0857a95bdb0e1f9c7c3490b257c1d4956ac95353ee4fcaee9ae8269429","sample_id":"sha256:ea4b8b89fb7d0ce1a990f559dc83ca1d07f16790617db5479d66e54fb41064d8","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:b8cf8d4322242424d9056c870bac66ac1afd37455d72bc11bad7716ec01347d9","candidate_id":"sha256:c783c420423c3e80f020ef230a71aa4f2bd29020e715d8cce1bb75d619f04b1b","certified":false,"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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-4, 5, -7, 1, 5, -7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:53fb7234b37d2e7a7d3e606dd7430e1d14b3f415bcae016941a0e5604ab6d209"},"incumbent_state_id":"sha256:0b6fb973a8a2510aed9aecd7b9d4ac6f7808b17ca1b19cfb70743512a1b47189","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (-4, 2, -7, 1, 5, -7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6d03d34deea8171b5416fcde53a9b9d2634a82c3a1d7a57886c3877c33c3c354","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000308"},{"accepted":{"artifact_digest":"sha256:51689c850b3642d208ee3e8a93428659d54a48e38be2dcd7f2450c2a14793296","candidate_id":"sha256:d252eff5e9d38d2225f49b13912672ed76988f970a57f3ccf041cb4406f46bdb","certified":false,"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-4, 5, 6, 1, 5, -7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:999948b46f91f702378cc94f1f8e3a6cdfb63b08af23a6dba9a3074fde54d226"},"incumbent_state_id":"sha256:c783c420423c3e80f020ef230a71aa4f2bd29020e715d8cce1bb75d619f04b1b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (-4, 5, -7, 1, 5, -7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8e61c1ea0024336c218efaf20d335dd17d35951c11fe5db5ae115f9e80e47d5a","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000308"},{"accepted":{"artifact_digest":"sha256:5919e752e6be4a9bce88b9d704562d89ed3155072afcfce96c1e2960ba1aeed9","candidate_id":"sha256:0aecccdff2db3a9b96a8fb2a396f585dc7257ae94dfbf7d194a0c2a9d83f387c","certified":false,"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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-2, 5, 6, 1, 5, -7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:c0e397096f1e4e6cc8574550f436bacac5baffc482f61ec8e4ecf312e5487788"},"incumbent_state_id":"sha256:d252eff5e9d38d2225f49b13912672ed76988f970a57f3ccf041cb4406f46bdb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (-4, 5, 6, 1, 5, -7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6372ecce58829bcafd843310c748154dcdf38b00983d630ed4822418668bd865","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000308"},{"accepted":{"artifact_digest":"sha256:1bf587ff9da181630024ef3903807cc79a7f6460d2136844abe6b90b829c01b4","candidate_id":"sha256:e6add5a680fb26a20fef53fdc6edc9f6a297805c211f3e891cd355d4549aa0e3","certified":false,"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"},"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":"sha256:3ec3bba89caaa580043f470503968f56162ab44875feb4ef7bfc39455a4aa034"},"incumbent_state_id":"sha256:0aecccdff2db3a9b96a8fb2a396f585dc7257ae94dfbf7d194a0c2a9d83f387c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -7)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8184dc37cab4752b1b1b0bcedc74d85997ab755fe3b96f4a257cdd4d67451bab","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000308"},{"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_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"}],"source_transition_id":"sha256:e1d5f202df41c3aed6990c7bbc4f44886df9d65b90917f882152a391a1549c6e","split":"test","step_index":4,"task_id":"vlr-formal-v2-0000308"}],"task_id":"vlr-formal-v2-0000308","trajectory_id":"vlr-formal-v2-0000308-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:2b1ae11b1e7ac24efbe9e1322649d26c470d371a603e7fc7625a1b3ab9ac5447","sample_id":"sha256:1ba0e126cfc4cacaff5fd7d311dc61c36b216053d1db2b3689bd17fb395fd4d8","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:daca59ebf4615fc929f7b8eb6332330419ee9330a27c0c78e82180025f446101","candidate_id":"sha256:de40542cf8334842b65a7b41c15c4027c279ff1d0411e437bca98a8f45fe2189","certified":false,"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"},"text":"def 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","verification_digest":"sha256:2b21901363afd9c0989ad0e77ba963157aee1b318a2ec17fb6ef54985b8b9dad"},"incumbent_state_id":"sha256:2db87ff7bf4a2c6fb66f9e7189d70e2df59e86b6bfd2223f4420a7dad8f1ab23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 1, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1f1ea22eb1f21fa8e2a5d587f86cae30be1429f9d218b7e7bcf761f6aa94baa2","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000309"},{"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_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"}],"source_transition_id":"sha256:3a1701f010c46fa534a8f623e6078f2f47140fa06eb3d08e5bfea9ffc3c3b94a","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000309"}],"task_id":"vlr-formal-v2-0000309","trajectory_id":"vlr-formal-v2-0000309-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:051c726c9e086889e814da9956925a95304cc9f30bdf71c0114cee0f96a76864","sample_id":"sha256:03a65674d5e192a858ad8a3aaa31d2ccfce1e454085e67577b4f918ebde3c23d","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:c830f680e10e85e84e9bb34445197249541a025942cc6a295b8eb55cf83a9823","candidate_id":"sha256:6b36c51146c25bd77ae74fe8e2c00a7ebff982d220f995b6bd26e6403dafc266","certified":false,"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"},"text":"def 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","verification_digest":"sha256:9b20becddfa7b43f3f314e6b0b6a5aaa277418281be45d44bd917b0cdf9e8892"},"incumbent_state_id":"sha256:491d3d9934ffb677746347543f2107df007b3bce27be520a78e876a35778468a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -6, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:314c7bbd331c0d664b6362d515b9fcab209821608946b6ea86da118ef54fc25d","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000318"},{"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_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"}],"source_transition_id":"sha256:10babaef2de1dd3e6fd37564cd100d491ce3fa2386e271d2206392d83f556999","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000318"}],"task_id":"vlr-formal-v2-0000318","trajectory_id":"vlr-formal-v2-0000318-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:6c5ecad69e522aafc6a9f7e531869a71fe8397b18e2588580c135b2ccb3e94cb","sample_id":"sha256:2ea427faf7a3dd743b8233bd1b412b58949ca988344be962b6e452c77504eefd","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:577b13a6686add865692ebb4ae3bab87cd30e7b34793d58d14a2ba65b255c477","candidate_id":"sha256:1bbbeaa0e63678fbb06e7fe099d28f2ca6373e238eecdb05130f23aa7129cf54","certified":false,"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":[1,0,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 5, 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:fe49a2be48c7df45d774e4eaaa27e3e079f4bd2779eade1d12bdad61c5997b0f"},"incumbent_state_id":"sha256:34f150c0d42b3314fe4ba39ccb0f1912fd29065297742c16859a98310608e755","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=11\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3a6d0cd66d80c1e865d003475086f868974282e0b866b3d30582c5a0308cc35d","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000319"},{"accepted":{"artifact_digest":"sha256:1e08238529fdf25eb0c85c5149aad195f7d45f8f02e8368b852d2e782816082e","candidate_id":"sha256:a0606d6b8a59c49b2d7a16846deea4edc67f4ce90ebeaca9e6dfa9d82ab573f3","certified":false,"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":[1,0,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (4, 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:a2e06f62d14ba98748ff26d6f910b146b22c68540d0bb356204884ad57c86870"},"incumbent_state_id":"sha256:1bbbeaa0e63678fbb06e7fe099d28f2ca6373e238eecdb05130f23aa7129cf54","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 5, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7c69a499f8457570f4d99a29fe06b4f530caea0387d44877bda055eef843f1e9","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000319"},{"accepted":{"artifact_digest":"sha256:eb0cafab35759b8bd4573e9573b5f56ecf634d5f35ddf77d150cc2a49d2386fb","candidate_id":"sha256:39c8baa4b3e41fb28bce03bb57b3768a800459e45d36ab2657e1448126899a95","certified":false,"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"},"text":"def 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","verification_digest":"sha256:b2bff7ab7dd2e48ebd21177ebbaa1a392f0a151d5fb1f445eca2f2cc02346b44"},"incumbent_state_id":"sha256:a0606d6b8a59c49b2d7a16846deea4edc67f4ce90ebeaca9e6dfa9d82ab573f3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d2604db4c67e1e99c9c7c1dbba4ddbcca06999cf519337e7d8340bdf0294af75","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000319"},{"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_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"}],"source_transition_id":"sha256:0b759e4eee958bc7598239059b7fe218236efb822b6e384b0f0e7b995c238bf8","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000319"}],"task_id":"vlr-formal-v2-0000319","trajectory_id":"vlr-formal-v2-0000319-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:75e19e0e9ef262fe0019b66589845b1e88309a34c7a62f5ab416052113b60689","sample_id":"sha256:d5903f391e9cba4c9bc6a5d3a7847f3995e676e387e78e58bed20332175eb9eb","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:d1d3c2560db4dc131080aa405037ac30e2ac9d4ac1faffda554e96dba0288013","candidate_id":"sha256:1cbbfe4a1f1ffc0d83ed11fd56182d68d69f7d5b60e721bd7c3e3916337f119f","certified":false,"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"},"text":"def 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","verification_digest":"sha256:a88289c92ef9a4cad42a3a4800d94e34fd881572eac14369282eaf8bce7139cf"},"incumbent_state_id":"sha256:1f83a23ce193270311e0d6e3f370e7c7929eadbe7580e21c619f2c79edc521dc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_009\", \"parity_grid.protected.case_010\", \"parity_grid.protected.case_011\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d858b077eae1e73f5dfb18efd546284da0ce5fecc4b2d3e38ffa7c9b37ad2534","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000328"},{"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_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"}],"source_transition_id":"sha256:44a425878cdcb13ea1af5d8ee67cadf76f8a3e93c7138e6e8e76e72be14ed207","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000328"}],"task_id":"vlr-formal-v2-0000328","trajectory_id":"vlr-formal-v2-0000328-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:930a27c6c82f2beedca799d82eff55c00d8e240556b8673f96981bd9f2130ed8","sample_id":"sha256:652a1b16a677204b38804baa331b2fe71c69b5498c049a5431100f26d48637f6","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:bd2c2481d3865f1989d395a8bda9eb9c848f158c7952c4604e7bc02f3abf84c1","candidate_id":"sha256:12963286164543cdd1208db0370e95cb520e90da8a322134db0aede8f73a5974","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (1, 2, 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":"sha256:188b9499eb9f0f69ae014178528b118b5ecd783f6a419b7be5f34f467b2610b7"},"incumbent_state_id":"sha256:1c5285a3104e4f91f25eb84bf6732e1632beafee6697394b07b9f05f14248671","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=3\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c53e06301d3361f5615fc3e4cd17162cc1efa84e5d6f02bba6d6bb8d3782087e","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000329"},{"accepted":{"artifact_digest":"sha256:b4b616a364b254a430f2cb34829d83fe7742bfdd9f6483be13771689399765c6","candidate_id":"sha256:f2c1ed26642c4ea996b57c394d0167f0ad9421150b1e91b780097b7833d020b9","certified":false,"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"},"text":"def 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","verification_digest":"sha256:b31d920a7861d10186a1a8d48e2220ce041ab319b84505086fa392ebfa3e7228"},"incumbent_state_id":"sha256:12963286164543cdd1208db0370e95cb520e90da8a322134db0aede8f73a5974","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4af81f7abb16b45c6f9bd7374ea975883f658ccbf56809e0ea07661d92a66193","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000329"},{"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_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"}],"source_transition_id":"sha256:b675ddfe2d903762ce60c6cde46c682bae577e74ab144dd41d824b83f56b071e","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000329"}],"task_id":"vlr-formal-v2-0000329","trajectory_id":"vlr-formal-v2-0000329-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:be4e05b24cfebcbe79c42089e4cd8394015af36de359f114c2941b8ed706cd28","sample_id":"sha256:d00971ddb4b069d717682c4a8a13534a4d66b7db81184874d7a259cc4b447775","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:d38105c0ca47ee2ce72c0917497800147031064f1ed0fdb77b7ce463674c9793","candidate_id":"sha256:1f3656d3ed849bbc8c88c57cab8a25adedd14644a8c1bf29e00c6fd0a64fb8af","certified":false,"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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (6, 2, -2, -3, -2, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:a47f84192238def1317d27b66f2f3725deaffc8e48e40d6e7b8bda1f1c9faf5a"},"incumbent_state_id":"sha256:18b1e4fb49781705d349eaadf193bdca1abc8295ed01f7399a8725e0cae503fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (6, 2, -2, -3, -5, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_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_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8ece4d0ee6a698c6e07066fc257f3fbfe461db476b9bd76e9a796f43bab813ff","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000338"},{"accepted":{"artifact_digest":"sha256:6d0b7e8526dee69322983b1c2e7d088248e748ed8ea8af7251ee9d8e1916917b","candidate_id":"sha256:3678d065453c29273a83e791caea4d712e42ecc54c1870464933ca57345540d0","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-4, 2, -2, -3, -2, 2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:a53701fa52cdc7700acdabf8aa664b3fb0d223755f12b4bba3a4452d05e6aa88"},"incumbent_state_id":"sha256:1f3656d3ed849bbc8c88c57cab8a25adedd14644a8c1bf29e00c6fd0a64fb8af","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (6, 2, -2, -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=9\nfailed_count=9\nfailed_obligation_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e15a5e1ffc4045ecf0ce3f8f815b78c9587e90e97a8153eb389e3e50d69b2632","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000338"},{"accepted":{"artifact_digest":"sha256:5b6e5d28e864302548158720bdcb8af741f05f09e5548067371414b223502e69","candidate_id":"sha256:cf0e54ee9f43063300f4434595dc7fbe75e8eec5aef3de691b41568b32b68e2f","certified":false,"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"},"text":"def 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","verification_digest":"sha256:3eff7d42eb0f76e77e68009bdc45cf835bd6d081dff9f348398bcffd39a3afed"},"incumbent_state_id":"sha256:3678d065453c29273a83e791caea4d712e42ecc54c1870464933ca57345540d0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -2, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:71926b6dc541784ee72c4ddc3132aa291c60b70853e92b167911c9c0caaa6805","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000338"},{"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_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"}],"source_transition_id":"sha256:6d390c00f54216515bbfe24d6d6a1370d4f3f67a201f614f74f7c62a37ecb8e4","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000338"}],"task_id":"vlr-formal-v2-0000338","trajectory_id":"vlr-formal-v2-0000338-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:1de23734e04f5061fa8acd911f65c94871301c4aaa5239001deabaec964b2a4d","sample_id":"sha256:335ebca966e302648bd0b85164cb79509d77a3fdfe0b99cab21750d39afd0498","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:9692e525fc1ae9a16160f65e999423dc3ceb46b3a3634a016b5f9f59234858f6","candidate_id":"sha256:2510a1c94112871bd31439cb52997d2b6d314e29a127dafd32ff1fe66e29fad4","certified":false,"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"},"text":"def 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","verification_digest":"sha256:35c2e217c099e935e5c3fea7c5bd7b14daa6eb1804f589b9f0106ace7dda900e"},"incumbent_state_id":"sha256:6933720be9a1d2d6ed298de9334ddb5723e3588efd21e4e9a465e92adde7b351","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:46942aff54a516c7d9011efe6f3a24faaf165cf6798549a77ccd98369eb66424","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000339"},{"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_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"}],"source_transition_id":"sha256:fbd42d28b66a6b18b8a4ebcfdd7ebcd11b070acfd3ee2a40355c007825363d76","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000339"}],"task_id":"vlr-formal-v2-0000339","trajectory_id":"vlr-formal-v2-0000339-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:bbf3b85dfa2486d764eef236a19ca30729521db69a74d2946cf23811c96cb0b7","sample_id":"sha256:a8eb5a70db7afa44c2a6c6277486aaa36caa2b2601f9b4ec76b9886ed568a1ed","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:6e2e35a8660e6b8797eac2d600c929e4c517898bd85d9cdd8a1beb62998882fe","candidate_id":"sha256:848451f0e45c4f09dfb99194c988dd785496ca14963648bc9e7fc034db998093","certified":false,"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":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-6, 7, -4, 5, -8, -3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:184723132a4b5c0770e94371244a75c1802a4ecb74ab29a82775382d64f103e1"},"incumbent_state_id":"sha256:09d17067f7d0f84a0de5c5b2cee0fbae69f07294f7d57a6c7d75b2382d2461f0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -4, 5, -8, -4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fd2838a44eddf92ecb90dc5c25600438275718ff269ca0a352c9140fade6aa9e","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000348"},{"accepted":{"artifact_digest":"sha256:6ec96f0588886350d8b2ac1e35a6403e11de6659d64c5dbd5e5b40f9344858e4","candidate_id":"sha256:2398e3199ce0108b3964b49be8bfb59a1f5aa5b2e1f213f7ad993cfa57839b36","certified":false,"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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-6, 7, -4, 7, -8, -3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:7b63b3bea3fb59e554d2282d2cb54022684dba7a6766335f0ef0a4a42b3ccc6a"},"incumbent_state_id":"sha256:848451f0e45c4f09dfb99194c988dd785496ca14963648bc9e7fc034db998093","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -4, 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=6\nfailed_count=12\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0e02d7047cc5e9cee4e249e138c4d778406b12e3f48f1a745c434c18bb4e34ae","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000348"},{"accepted":{"artifact_digest":"sha256:9e505d9c225f5265ad68b80cc27b364f80e661acbf7559f412319035569cbce3","candidate_id":"sha256:52d0051201ee0e67ca094bd12363ce23be53fe1e122d231714f7c92672b01531","certified":false,"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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-6, 7, -6, 7, -8, -3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:70e1f05ad66cd3debdbfd1969fbae4d5ad39478db7fa0c342cc3db69f23bba96"},"incumbent_state_id":"sha256:2398e3199ce0108b3964b49be8bfb59a1f5aa5b2e1f213f7ad993cfa57839b36","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -4, 7, -8, -3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b6ec060e7302ae4cc0e5c67ccb17b50acd2fa8fd8fc2a4638549249257f22ed6","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000348"},{"accepted":{"artifact_digest":"sha256:677da7485dd6ada6785b634b35868bd37c4dc168f86307e7bbf9b2d553023373","candidate_id":"sha256:4cb5d79daf48070b735c43e34901d75fcb5a7ce51c73e75fd990a3d3c34e840f","certified":false,"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"},"text":"def 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","verification_digest":"sha256:274714eb890df02f83eecf85f8b2dc9e2ebc4149313f3352e6822dc75f3f00d8"},"incumbent_state_id":"sha256:52d0051201ee0e67ca094bd12363ce23be53fe1e122d231714f7c92672b01531","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -8, -3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:66a38021dd752bc80376766db9b1e45b6947f4d5c86625e983f33007bbbcd354","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000348"},{"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_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"}],"source_transition_id":"sha256:0d16cdb382d3420adf1598c0841249b7379567811dd6c3ae7ef61c9ad3c8677d","split":"test","step_index":4,"task_id":"vlr-formal-v2-0000348"}],"task_id":"vlr-formal-v2-0000348","trajectory_id":"vlr-formal-v2-0000348-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:2d09206f9302739c83e108bf5c4c0ea2ffbd9b94afbd5acd3b761d20842064bc","sample_id":"sha256:7280f1997b3d8e0c86ae6e735b45ddf32c7ae1662cc4c65f69b0049e02cede93","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:2f50f10f582518effd99875717f7f3e71c2d968339050be5e50e0667056e748e","candidate_id":"sha256:cc272371feb6cad66aad78401aa24e3f418546cce797c75fd20426ab7d465044","certified":false,"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":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (5, 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:caba307888972b0e2db40bb0b810e1ab1f9de109c85fda41b3c848b746f2fb47"},"incumbent_state_id":"sha256:e83f50add22567558e995fadf43b73343ff367e36d7580548e04c3d16b9c25a1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (4, 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```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e9b3881509df2f362e4b072b1ba171cd4c76f68a5a2d6aedd7ab69f645adb319","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000349"},{"accepted":{"artifact_digest":"sha256:a20c3e41ab56b3166fd15ee806f976d950e61c4ed6d9157bf726fff87cfeb4e3","candidate_id":"sha256:c01a06a93a1b2b6b2f0a88864ca9a7cc24b8801536c355bf2a0fdbdbf281203d","certified":false,"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"},"text":"def 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","verification_digest":"sha256:3dd33e064f2cfb2e96efa5d1037087cdd70424b9229e195b52b21421d85a74a2"},"incumbent_state_id":"sha256:cc272371feb6cad66aad78401aa24e3f418546cce797c75fd20426ab7d465044","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5e0929b80d0361360e42b757dbe1218de284e7bd2da9def15a3b35a662bd6860","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000349"},{"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_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"}],"source_transition_id":"sha256:5dd9c0f57aac7a63165b6d1cc1fec9d3429dc5b9bdd5c6956c69d99f8d2ac31b","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000349"}],"task_id":"vlr-formal-v2-0000349","trajectory_id":"vlr-formal-v2-0000349-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:93f4c93b8b5e6a47aad0f2d8fe84ccf40e9f1b260d72c1bcf33bef124eb5444f","sample_id":"sha256:7c7c6e052e595fed581608833de1c1cfde5cb88d6d0e74812beb85655658ea05","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:c592458fd4d8cd02653778dcfc159e3c884d4a85543ce67bf3d079b29e303f1f","candidate_id":"sha256:765025ee641c858cb48119c9b224ef08a96d445f4794d96cb637fff4ecbebdcb","certified":false,"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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (2, -8, 2, 7, -6, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:aa347ac35f10b11879c61a96d3ff4f027647bfaf7ed20ab7789f3c6b82421dad"},"incumbent_state_id":"sha256:f17c34a79bc442b4dd3d765126ba4d955d7e13db4225cbf0a8f7822f01053b65","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (2, -8, 2, 7, 7, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0e533facc9596edd8344886960971be1ae11636df64ce01ce05b54bb214f5a90","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000358"},{"accepted":{"artifact_digest":"sha256:ef32501c82390d738a738314ef67e55a9cfa511568e1c393f2dbaf6f514fd172","candidate_id":"sha256:a9bca7586dd1f264c229a3964c9247d5fe492bbf7cc4154326f9041810ba5988","certified":false,"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"},"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":"sha256:00c56440a9c225248e4291ae0af90c225c61e173afa9b4789d403ec83fd30dfc"},"incumbent_state_id":"sha256:765025ee641c858cb48119c9b224ef08a96d445f4794d96cb637fff4ecbebdcb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (2, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:029c2c68e891b65a6028043d5e41fceb0428760170ef9911fe9f619f9d450847","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000358"},{"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_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"}],"source_transition_id":"sha256:0127d426dae426dc91beb5385819d024b1d59e9ed6afe518335ea8bbd2befbd8","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000358"}],"task_id":"vlr-formal-v2-0000358","trajectory_id":"vlr-formal-v2-0000358-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:348b52345b753484e4420a0837e8f7340be6983b70e11e4d498514047d4d8451","sample_id":"sha256:5a6fd30be6157c68d97c30d591139e8de399b39a9e232da7e92800bff9120673","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:3def2209bdd5231abe17ee9afafa2daba1c93c8103292a3cc4a12c6e25a49a73","candidate_id":"sha256:d4cd11b40475d5eedc2317d4c787521071b8a0ce4bedf2104778a9a2f0be6138","certified":false,"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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (2, 4, 1, 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:d91327adb436d772cac62f2634371783ead943286994fb7e9423ceed8806a495"},"incumbent_state_id":"sha256:dcf4af2736c725ff498ba7b7cd323d82e708f2247ac56db0a9e09e03aba53900","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:543f7b07ad573d9959aa630581b5f8c6f35d10ad21f1d241405b4f9daeb11e96","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000359"},{"accepted":{"artifact_digest":"sha256:4f9cca3f7bc0bd5901f22011bb517af35c008d9dd8343af1af2604bff416811b","candidate_id":"sha256:73857f0220e027046e222b2be61f21f7d3bd7506511d1b4d46e046a325ffe1df","certified":false,"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"},"text":"def 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","verification_digest":"sha256:de162d0a3ed702619396faa7a85a7b5e0e9199e9db2a4c67df2b4eb4f519d752"},"incumbent_state_id":"sha256:d4cd11b40475d5eedc2317d4c787521071b8a0ce4bedf2104778a9a2f0be6138","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:851161ca9bbb1030ae9f38f5366a4dcdb0545755f6290849ac48a454baf2a2af","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000359"},{"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_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"}],"source_transition_id":"sha256:b9c31f960039cada9da17f1628073c5ffea5eeb5f0ca71ec39115165c5b2799a","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000359"}],"task_id":"vlr-formal-v2-0000359","trajectory_id":"vlr-formal-v2-0000359-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:1cd2048bbc2a3add3fef8df9330c68a78d584bcb47d404b70a8448d9b48524b3","sample_id":"sha256:ed25a6142a5e995d20dc5c9614b4cc4e0690b5037a04cb259cde71313c4de6f0","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:434c7803d5d86cceff6bb9b33123a505992e47c2017dba8e18b787de5bdfda11","candidate_id":"sha256:d0af0371d0cc0a51c2dd5c9b36fedf47bb6d0f8b5e04f058b3e05f4f8477b8b9","certified":false,"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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (4, 0, -6, -3, 7, -1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:ebdb8bf7ea13342ee85bdc49f44c7448856d406700a879f573572d34487f0096"},"incumbent_state_id":"sha256:2cd8aa7a2aedc412106b6d93ce6e6a970bce89543deecbdc9d9a187c99b89a14","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 0, -6, 8, 7, -1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:33827b357fd52e951120a782083eae6b7181b53fd0c9f72e9703a47a7009388e","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000368"},{"accepted":{"artifact_digest":"sha256:fb0337c7da21b643800ed0d1a2999475f90c2e7e7a2af868062127b0afc62abd","candidate_id":"sha256:9dce99fbf13587c8607009f0ef09a7afa28937857662ab763f90f7bc4fcb5829","certified":false,"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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (4, 6, -6, -3, 7, -1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:66d1cddb19b5db301e02d2646d9be693bb7aba855c2d1c2496c2b389fc321333"},"incumbent_state_id":"sha256:d0af0371d0cc0a51c2dd5c9b36fedf47bb6d0f8b5e04f058b3e05f4f8477b8b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 0, -6, -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=6\nfailed_count=12\nfailed_obligation_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_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:59cf7564d9921224807162a0e69360df698867954acb1f6e475c2ff7b1b336a6","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000368"},{"accepted":{"artifact_digest":"sha256:92a21724652490438420567d54d95818741b446bcdcc5e352b539a8c6221caac","candidate_id":"sha256:c432e2ffbc0d43a648daacd14df42653bee0e84f81a5768ee25d3d3c5e1192db","certified":false,"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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def 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","verification_digest":"sha256:f9fb643318431c0936579bd37ad7122bd1ff40311bb15af691fe7b442ec69a7e"},"incumbent_state_id":"sha256:9dce99fbf13587c8607009f0ef09a7afa28937857662ab763f90f7bc4fcb5829","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, -6, -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=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d28212fafad5c79feba4025ae628bc686f7f704291edf1bf05d1c765e8044ce5","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000368"},{"accepted":{"artifact_digest":"sha256:f7d21639d4094fbcd2d7f248066aa778487bf382cd9e6ff3645e147fcb39fd9e","candidate_id":"sha256:68bd4d5463bb46b7f8235ebdbaa9e67fd8173346deb7a12af5ce449466f7bf0b","certified":false,"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"},"text":"def 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","verification_digest":"sha256:7b60762b1a50c179efe7e399e7844be886b01cf4b28556546b0ef82826290bf9"},"incumbent_state_id":"sha256:c432e2ffbc0d43a648daacd14df42653bee0e84f81a5768ee25d3d3c5e1192db","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a321b89cf927fb623ded6f74e9d8463b1dc0fa73c1e2a810254a708732038c01","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000368"},{"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_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"}],"source_transition_id":"sha256:17cbab0c47ca5b92f6c3ce4c46cb23f2d542a3a0aa6f15240214e2e903070f6b","split":"test","step_index":4,"task_id":"vlr-formal-v2-0000368"}],"task_id":"vlr-formal-v2-0000368","trajectory_id":"vlr-formal-v2-0000368-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:c871d4afa8b168b58935369a2d0bbe007318416536b14e8babfd42066c9a40de","sample_id":"sha256:12202a8e1ee7a10a9ff01fd4f996a4d238f7ce8851a827e36eb8bf436afd8b9a","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:6911d529887af0db82e335dd91fa8dae78c202f6dccaf266445f4a2decbefefc","candidate_id":"sha256:15a0fc8f40ffa883f4342d5113c598110f69e3300e026ef25d841cd5a7c99218","certified":false,"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"},"text":"def 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","verification_digest":"sha256:4b5b987e21daf49fa4587a72d91ac01684e60cea139af83f822e9a8176615b54"},"incumbent_state_id":"sha256:50d96e28de683c490e568c64e0f3464f900a28fdd9b5a4d31d589a37a7db1aca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"bit_rotate.protected.case_003\", \"bit_rotate.protected.case_004\", \"bit_rotate.protected.case_005\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cdb8f7182a41e81b9409022ad205c1f7ab98e61b84e6593448edd74dec951cd0","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000369"},{"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_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"}],"source_transition_id":"sha256:55f580cbaebffca4182150451642f81654c38e54c12f85e9463b00e2425c12b8","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000369"}],"task_id":"vlr-formal-v2-0000369","trajectory_id":"vlr-formal-v2-0000369-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:811fc5f7e061fcf626e427bf340a396d5e9bd33b3234f0b9a8861abff28dc585","sample_id":"sha256:08724d53de71905bbadbee9dd7371a9ba4107968007b5ddd1ed6a14992977a8a","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:974e01b725446c760a449b0974dd2e37ddab1a19c2287bac02f74a478091b52a","candidate_id":"sha256:7a7a4b88a0d1aa0bfc04edf4e7d78f04ae555e4eaf2985aea0078bac110f3ca2","certified":false,"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"},"text":"def 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","verification_digest":"sha256:51f34e1cc24c1f4692418721dbbb0970b571d9797dc92c1223b3483301c27902"},"incumbent_state_id":"sha256:20104df087f538a5bb810007898b7c969d495133437e363c3cf7b6a5c4b0c17d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 1, 3)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_012\", \"parity_grid.protected.case_013\", \"parity_grid.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:621e6e00a64cc173e69cb135eb0b2f543cf77b738727b17afa17c3d6fca87daa","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000378"},{"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_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"}],"source_transition_id":"sha256:17410b1ebe40d7db8058a91aafcff6c08a634d115e69ff4d30d25d73d8d18874","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000378"}],"task_id":"vlr-formal-v2-0000378","trajectory_id":"vlr-formal-v2-0000378-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:3acdb06719194b528f28c6accb0393cf666397454d3536d5964e7f509a578d5a","sample_id":"sha256:46a20f19f17ea03d8968daf19c931085e8c2d1e69d2e47aadd22094110f24f9e","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:2277a94db960e8564a5e391d503b5ec3b52fe30eb394fb7e2064661b5f4ed3ca","candidate_id":"sha256:9eb3f898e0721824ea75cb30a5a2982eb7de7ff6a2ab0d4ef875b7b6eb9b26dc","certified":false,"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"},"text":"def 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","verification_digest":"sha256:b8237501a5417b705391273ac3990d1750550fb21abd553fc731c5da9dcb3370"},"incumbent_state_id":"sha256:619d05ecea399dfbb25a014a5a7116710ad2acf6ca6e5f325bc7966d1642e80a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=7\nfailed_count=5\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"bit_rotate.protected.case_002\", \"bit_rotate.protected.case_009\", \"bit_rotate.protected.case_010\", \"bit_rotate.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:be17f0719deaaa53e86b49b8630ac3fb93f77864584f1151b9577d1ef77c820a","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000379"},{"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_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"}],"source_transition_id":"sha256:48310accf64cd08e31d9a0c293078626ca8c746571a5755d9d8fe0d2ef19ebfa","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000379"}],"task_id":"vlr-formal-v2-0000379","trajectory_id":"vlr-formal-v2-0000379-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4a79a1d94e0dde6ee52dce452a5ed0156c73fcd883d2419f63948cd730bec696","sample_id":"sha256:cd130dc120ba6f059872883754b1b0ee52f656bcbd71b6db224d7059110af75f","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:0a53a6ec105331212a275fdcece58c49e8fcc970b0616b2eda7fe93de6895a65","candidate_id":"sha256:8c9cc5532a533bf67ca40aacaa2829e8a286d52ce53723a3d6a4855936e078f2","certified":false,"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":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (8, 1, 5, 6, 7, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:c27b59fba5821525a83d07103ef941e821dbb3d079ba1fb2879b8f11a32281ad"},"incumbent_state_id":"sha256:288903bb5042bb52da6633dc6dbb1a416cfe43a750da058f2e3fa73a12ffb8a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 5, 6, 7, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:54d5930f071a0715a334a31faa5c5c6244dfc58979aaa1ad391bc0cd9a298980","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000388"},{"accepted":{"artifact_digest":"sha256:e7c064bc1c755b0a403d171b47f329c3c16e73730f991754e4841b17a302a326","candidate_id":"sha256:6b7436693ca4f13014346521b9c112f41d5a304c817bb1383b82a1eb5769bf42","certified":false,"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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (8, 1, 5, 6, 0, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:f57d51a88b7d761d7278d1eb3c41df60aa9a3b80921799abd4c25be032e505c0"},"incumbent_state_id":"sha256:8c9cc5532a533bf67ca40aacaa2829e8a286d52ce53723a3d6a4855936e078f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 5, 6, 7, 1)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:476d940d4c8026ff93c3f8ca26a36223fc520edb6cb8c56a8c9429abb3087867","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000388"},{"accepted":{"artifact_digest":"sha256:7963391a61a3504128ad4a0a45b8e30e2b3455d24ca025ff1eb8125a72bc07c3","candidate_id":"sha256:333ff43dd0a5d9e69741291451de7afb699754f72bf03d984025a2b7494e8861","certified":false,"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"},"text":"def 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","verification_digest":"sha256:8962e640e4eaae8185b348bae4da45a9dd9c329d8253f50ffa35ac6772b390b7"},"incumbent_state_id":"sha256:6b7436693ca4f13014346521b9c112f41d5a304c817bb1383b82a1eb5769bf42","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 5, 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=12\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1da20d6316daa609e3d0ba1994fad641d6e8dfaf377d38ebeb681555313bca15","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000388"},{"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_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"}],"source_transition_id":"sha256:ce0e007eceada55f5f75c1d2a0741d7081bf36c208d3867bc488c50c683e5c48","split":"test","step_index":3,"task_id":"vlr-formal-v2-0000388"}],"task_id":"vlr-formal-v2-0000388","trajectory_id":"vlr-formal-v2-0000388-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:4b0da3eb754300b54cb2baf270998114083f0a23c17e84201828b64b10b41d93","sample_id":"sha256:ee061d24765745d6b5adc8a8dd04b87d478d50d13c8e8c16e88bfd31eb86697b","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:fb6a73514c3701ff421c75527e75dc2c73d13994a7182aec9d3394a7241c44ea","candidate_id":"sha256:556a4577909257b409da4a5a7b9e456635417f880f5f0c48647f84ae15207559","certified":false,"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"},"text":"def 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","verification_digest":"sha256:bd2a8af1d0f027f79bc112e5474a6b6685a0b2d85f98b886d3c969e237654587"},"incumbent_state_id":"sha256:9944366779946c3c3a924061be8298fc8b178ed08e724dac56ba52614aa4d06f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f88af10ba7f250d0e2b155acc6a2cf367a4d3894cc6057b9a8f4d4e6ff1e68fe","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000389"},{"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_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"}],"source_transition_id":"sha256:917eb0a9368cc04163ed8a81c1cb7e3d79d09f38c231334fb7f9152b847a1972","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000389"}],"task_id":"vlr-formal-v2-0000389","trajectory_id":"vlr-formal-v2-0000389-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:186bc42eb1916863f34c5cd19a05946d30a0a41ce5634497b4497004b243f3d1","sample_id":"sha256:61e23a18e90a86d48066fe749d2d6902f9dbf859df04ef3c22708c78845d31a0","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:aae3b2cd3be6ca2e1fbb1547bf936c369813373d186951a019610bd9a2b0dd88","candidate_id":"sha256:b604d905190f4becd2eec1b2ce10b9507f2b3a28d0296b6a1453c068ff02b1ed","certified":false,"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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:fcba1f30a89fb87814547511c6afb970bd4d4bafc972e5dc3295368f7bebf2b6"},"text":"def transform(x):\n    table = (-8, -8, 3, -8, -6, -4)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n","verification_digest":"sha256:690476d7eb9a963c4ff44a14d0af9d8d9cfa6c018dc850e4c6c44983f01d1778"},"incumbent_state_id":"sha256:5f60f3ccb41b9e7ebfa0d0106d05c48a580f0a366ff4e7ce22d806284a26b4b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3, -8, -6, -2)\n    slot = ((x & 1) * 3 + (abs(x) // 3) % 3) % 6\n    return x + table[slot]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\", \"parity_grid.protected.case_015\", \"parity_grid.protected.case_016\", \"parity_grid.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:25129aaebf3210139f961a957a317d06a1d117d46da1a57681b3d023636137a1","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000398"},{"accepted":{"artifact_digest":"sha256:f3c4dd0abeb34cbef1ddf5e8da5e777097eb312f1ac921daf42c4ae0d4c1acb6","candidate_id":"sha256:01372ae975a682a66be7aa5c455b76ba44496f7e4fd43cd900e2708c7c9b4a82","certified":false,"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"},"text":"def 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","verification_digest":"sha256:50daf267493c39d74edcd909a951e0562d4df935a8f426e0bea765206de06496"},"incumbent_state_id":"sha256:b604d905190f4becd2eec1b2ce10b9507f2b3a28d0296b6a1453c068ff02b1ed","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 3, -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=12\nfailed_count=6\nfailed_obligation_ids=[\"parity_grid.protected.case_000\", \"parity_grid.protected.case_001\", \"parity_grid.protected.case_002\", \"parity_grid.protected.case_006\", \"parity_grid.protected.case_007\", \"parity_grid.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:73a37017a73f1f5bb70f771843f62fc64561d59a3b021530db0fd2bac87eecc5","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000398"},{"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_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"}],"source_transition_id":"sha256:6bc448ded7584ba7997e970ee0b4cf89876d25ca312e24cd0cd12dbb363ee4dc","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000398"}],"task_id":"vlr-formal-v2-0000398","trajectory_id":"vlr-formal-v2-0000398-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:b5bc29bbc73cfd99ddf17e03d3baeb460adfadb4e8aa260d4e6bfb1cf8d7039c","sample_id":"sha256:bc17f4920f0b3918f2d9b0f2498cc02031eb16f32c2754ed74c9e4e21cd7ab64","split":"test","steps":[{"accepted":{"artifact_digest":"sha256:0bec6ae79f24d5a2d94d52d41ce9f2689e3904217993f97f5d1fd456e2be31b5","candidate_id":"sha256:721588afa0d0926e12bfb242a6ea09d52ee314b81e375c50be0984b79c31ce2c","certified":false,"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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9c3b3396eaf2f8ac3a2d2a27c8d57f549e5d16f4dc14885f5889c4e996cd0fe4"},"text":"def transform(x):\n    shifts = (3, 4, 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":"sha256:88c179b6fe20d347c061410960348d30169f10c91f6abacb3fb97c254b29e14e"},"incumbent_state_id":"sha256:7659ae768066bb8bf2409b06213e0ee08cf4fbc0b15f5297dc670c2d4dbbde00","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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 = (5, 4, 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=4\nfailed_count=8\nfailed_obligation_ids=[\"bit_rotate.protected.case_000\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1924353fe3036b2586a8e86f468c011b61c4b3643f5e5f9cc594e32eff7a748a","split":"test","step_index":0,"task_id":"vlr-formal-v2-0000399"},{"accepted":{"artifact_digest":"sha256:6e3cb513931ddc6a06c7eb3f5d84123852c1c1f73619d87949b03b07497a2ff6","candidate_id":"sha256:3ae9048aa432b15643ff072ac51058bfb10d1855042bc31bb38278b1dad36c4e","certified":false,"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"},"text":"def 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","verification_digest":"sha256:14c77740c36364f60aaf27232b9969b0ec6e78fa91d49e8ce4fcadba37b6ac97"},"incumbent_state_id":"sha256:721588afa0d0926e12bfb242a6ea09d52ee314b81e375c50be0984b79c31ce2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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, 4, 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=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:490030ad34ec2b8c6e8566d37da9974bbdcfd0d9b2722d2a3edf67102219613f","split":"test","step_index":1,"task_id":"vlr-formal-v2-0000399"},{"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_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"}],"source_transition_id":"sha256:7aac56d8d71b082ace73a378985bb61cd8f40f601972f276d97b4598d4b170bd","split":"test","step_index":2,"task_id":"vlr-formal-v2-0000399"}],"task_id":"vlr-formal-v2-0000399","trajectory_id":"vlr-formal-v2-0000399-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}