data/recursive_trajectory_validation.jsonl

{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:0189f8f5d599942b60f7b80f3c63d875c6163572473943fa78cf0b4240b9e5c3","sample_id":"sha256:3c350f89e5fda186bb6761be6f65ffafff4a6ba4ec84c9d7d38bad7757d44521","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:87e8f5da5f5e042da61c448a8397da7a0810a7bff6885633356f182787653a6a","candidate_id":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (2, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a0a4f329a00e4ae815982da4c5225526f66c326bc4101a46e2c007df495e04a2"},"incumbent_state_id":"sha256:f9e1c75a3dded546ca9e300007597d37ce0f7a30245110e392a2b4c901cb129c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, -9, -5, 3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4daaec1d1ce639b9916ed649fea02cd01de6f37228fa78d547209223c9dac5e4","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000001"},{"accepted":{"artifact_digest":"sha256:d65adb305e1faaba9ce83e0a2e239ec2a30245b5ac67d89545c6f2ad5aabd1c9","candidate_id":"sha256:0542c1a200d9d12fede50ece0a5c149ff9ddfc5552c135f8dd23f4f71ab7c2e8","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-2, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b7ec11a2a7771153380cbdc1f5e3ffe139306d0c68b461ed8fc54d485ee2e270"},"incumbent_state_id":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cbcbe6079917032a1d6d2c9b0829890d2e093577961ad19088e9dce726bd0124","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000001"}],"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:477c1373e37bdf53666d40ef6f45eaec56828ed0c7a79b682b9b8692f8c3e26b","sample_id":"sha256:a80ddbbc4b15bfe7b9a25a1ed0f0fb855674da81cf2433f563d7297de3514ded","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:3bb08b9f9fa5897448b7af327ac41f2ecced63c6bda482debde1509602fd01a1","candidate_id":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (10, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f04eb8ab4ddec095abb5855c90c7116040abfab8b6765893021f67c888963a9"},"incumbent_state_id":"sha256:af0176fe875836d5069798fd804ae6255f1b321984d4b306f72b5dd8a4f2487f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 7, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:590264df8e5b56b8bd2174935043d2d1c4908d24b0bbc2c2ccf503008d866a6e","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000004"},{"accepted":{"artifact_digest":"sha256:c8f5b30dd27dab85716e5892781723fffcc37cde34c1680b370fc3349c425f4c","candidate_id":"sha256:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:14432fc07104f0fa82df57d386351eeb5373bb2703386e23a26fe7b17a65c854"},"incumbent_state_id":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 11, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:61980719a3523535055b52c624585d1956c2b0a24886e3b9103c2674e01ea11c","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000004"},{"accepted":{"artifact_digest":"sha256:addae2203c842f429cdd8ecdbf29d6faa10aab9ef6a9217d1e2e6a7e7d60c962","candidate_id":"sha256:610ffbc522463c7e79b751a5ef509ae3a3cc8a77b9aa29b238ccc008740d2be8","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 4, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:625436d36d6f2477e69988f793ce53fbe3298c75994f0a5ab8edf0cd55228ca7"},"incumbent_state_id":"sha256:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 4, 11, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3c6fecd22f464423b3a152b72603b8515d3872febb6ae4c4c59caf7c93dc7eec","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000004"}],"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:dd703c86c169f50180933fb4b0b01b766135d0d7693318074c93e75f85fd9689","sample_id":"sha256:71114b06e41e6526e1b42dfc760e15ff4c13f5344be632126ffc56ee4e633336","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:2ac51926a55b2ab52b3d267374782c2ac86a9ffce9ade297e7af1d6f45842c15","candidate_id":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-7, -1, 1, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3e6bb7414c580ac447131f287eb723b31ccba472591f5c80df73b577fb34b181"},"incumbent_state_id":"sha256:5e9766d4424e68a5693c76c09fab7fc321fa03f1aac1f89aa79d16aa09066318","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, -1, 3, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5006e47bbf79169254dec0c554feeb67e72b0cd53dbedb52c099a373e078b533","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000006"},{"accepted":{"artifact_digest":"sha256:1a1298560b8554fb3db67cd6ee3b76ff81d64c96af72ff56f168bd7a87491447","candidate_id":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-7, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:de4570784d55dd0965491d3d1ad15640812499521f09690139595588f03d7d96"},"incumbent_state_id":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cda675cb63210e083013dbeced0d35e2589f572d5034842acf3d7b79d6bebe72","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000006"},{"accepted":{"artifact_digest":"sha256:78abb33c8b6b6c4dd63ff28700cdd50651d07ede7c794dedbcc3d9467f172a3b","candidate_id":"sha256:56f8bba371141a75ace9c0cbe6a3f2aa8c42781b8e2aa1b59bfb10dd110f76a7","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:aeadb9c6aff1f3751d3acec28ad602ed4e6dfec9684c339eb4a93c741cd1ed2a"},"incumbent_state_id":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d67e0ade75b719d3b68693f3f701a41d5fffd1533e5891bceaf94a7374e64bb3","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000006"}],"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:23861d36b91ef177c598fd363401ade2785786f935176b81b63280637a3f3da8","sample_id":"sha256:83cba329427b3c96ea71e54f268e9aa2261f1e541a1f0ee3f2daca9a28721367","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:0a69d4967fd698853777000be4235f9fdec7e51e508fd5db17a1a0a1e029f418","candidate_id":"sha256:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:68abe23a07dd5f14f797ee4d6caa04d78d2336f9f831b40f85b6454c68eb22d7"},"incumbent_state_id":"sha256:a8b0a98929b8cb566515ca3ae190936df3559de0db1527d573c651f576ffe666","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 1, 14)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2d1617f36594425633b0df1dbf6052b50ab372d26e4daa17e8a2a99f379c17a6","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000014"},{"accepted":{"artifact_digest":"sha256:e9a80ac4506cd0a68dd0f6996324608f9f9767279cea327a4be14ccebba1b274","candidate_id":"sha256:8223a111d8a9e3fc36e72bd1edeb64b688e8df7e2abde8dc06d69aa0e28ad49b","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (4, 6, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:263d2ca13e73d2f8af0bed2ecf53d68e91ff1357fd6565c96a23249f4e0ec2fe"},"incumbent_state_id":"sha256:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 12, 14)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f2c9af5fe37c9d815a37f8fc6cdf38fb66fd18d9c28bf946ad1e599902eaae9f","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000014"}],"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:ab3d1fe50b8aecd86fe93881c89c743b709724e0e8a4132f87b582cacca1b741","sample_id":"sha256:89ce373228138be8abd0d3c5702b50741aec1f19a094d186a69d9365cc795a3e","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:344a666b01e6dc43a2fa937dfa12d9eb9afa671993c650912becc061e7bdad4f","candidate_id":"sha256:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (3, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5fc34a9b44421964c15c2a396b1f4e18e3065345850c98303d17fd79401db9fc"},"incumbent_state_id":"sha256:3c90a9679688f136f4eee167354c78cca3f503cf6456491c8f8ff80a06053250","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 9)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:80dc8b84bbf4ed5f67d34d5d6cf2910a2a9aee8bddb1a0b5b900dd0f9e027de5","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000024"},{"accepted":{"artifact_digest":"sha256:e0637362a85e429942b94d74fc9bf5bb1f1e04d4b30030b7ff8f82c483bd38e2","candidate_id":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 3, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0e43732756382149de9afc39412a091fac7563f5af9713a88ae9d64a1e841853"},"incumbent_state_id":"sha256:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1d898e910e6c6ff97b8a44c60472489e2df958ab024c0ba5cc0146094cc0f90b","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000024"},{"accepted":{"artifact_digest":"sha256:38fc1bf4bc2a9653646bf5f9e2f9aed6e5762c5a90290c8fb169a6aa613f653c","candidate_id":"sha256:a1a30b04fd6b1b789bdf1a5bad45a4e867c26fa22824367c363635f7359b3e73","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 3, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:846b493f010cc551847b84cb2a9b92b8c4ec9743240ed908f29894557a0ec2ec"},"incumbent_state_id":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 3, 10, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5337ad6b6079dd05e698be826c5007298050bbda473a4cfa6b2fe5c5f3929ae1","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000024"}],"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:48fd240b94e28b07b0818eb6e9bdc1fa56ee3f9de112438084ebc91620a996ac","sample_id":"sha256:689271dff1fa45de28acfe8ed6eac99a93a3513757afdea0a014373c8f4a7abc","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:c844abb441aec6add7b0ab308f42feacea7127c43b626432f36c195c1cf16b11","candidate_id":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4e20772ee083410ef15a2e7b8a8be2b1c66983d6837e41247194d71ae89de9ac"},"incumbent_state_id":"sha256:b923383f315bbd2d8989a1a25ad5245b5cf0b9f4e3f842e7695a1b4c9babfee8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:189120c73c823c85423d62f03b8166ea3bcc15b94cbd2293228053a736474fc1","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000032"},{"accepted":{"artifact_digest":"sha256:612b25d3e0fd73ccc1189d3922060c82ad833fbe03941c5804009188539dd81a","candidate_id":"sha256:6b47517328af892c4a83b1d0648fa79015df612405446da3bc3581eaaa5a61a9","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -1, -1, -1, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:cc92028a1a73c50586c132b3174405837b54949c2c827511fa9a1c89f070eb16"},"incumbent_state_id":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a4df4f33c1ca80173639912bcb63ba0db9222f1a371f0c76eb428db363e652ce","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000032"}],"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:8c28d37adbf33f7bb547d741b36964684436931afd96c517207422b60305e5dd","sample_id":"sha256:4235832e1b270922ccee5099704625b72f4bd9d0f577ee8407f18525d787e4eb","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:7cfd9caf00c316c0820502a90606301ff2f6885dee08af9628cb81927078b0be","candidate_id":"sha256:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 7, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7a8f6f796ac7d9d6f0e153ff387e15c7e73a242a2685e67f04d5abf6806e38cf"},"incumbent_state_id":"sha256:30836220a1cf4f7293a4384f633de5c164824b05cc26dc5aa1a9c742d0d3795a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 7, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:eda500c40727594685e5a1857ae79ce9ce9c190bf6516d42da3b32e71d7ca8dd","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000036"},{"accepted":{"artifact_digest":"sha256:1fb85f699a7993c9585a925b368402ae1075d73ccd6cfaba7b01143721b458ca","candidate_id":"sha256:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 4, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:38f03ecb7904918fb1202c2bd53de1b51b461c55d7603f891f701194593eaad9"},"incumbent_state_id":"sha256:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 7, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d4697ba8558044af8f0a1c91dce7572886e042050369a185136b032c8e3e8cba","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000036"},{"accepted":{"artifact_digest":"sha256:aadc200f84056e34291e0c725902dce4030b74b788afbfbb2b77da5bd6444575","candidate_id":"sha256:82af04b2d7c833658f7e1bbf340470aeb875ddc57492d83b6124c0f00d49e6ed","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 4, 0, -4, 1, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5cc31d83a7baeac863465a105dd27b7739c47cf9be0bcb41ffa433b0db4823ab"},"incumbent_state_id":"sha256:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 4, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:26051b71948c2965f5f33ddb3107046af82d64ec0f87afc31407aa44c066120b","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000036"}],"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:30e9a55b1cf7f0451db45a273f21d4c6ef120656c9154affe4732229c7654aaf","sample_id":"sha256:a12d5c1d79cdd45113279b0dd563d42f8ea0972253a61bb9aaedf8fc353a4a02","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:46cf3358a69216459e1480283f1cd64b8c0a9a563a0eec6addce59b624ec4ab9","candidate_id":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:453a4c54a0226b45cf07109cd30d9a77c657673b2b648c429816d7c9a63ea1b0"},"incumbent_state_id":"sha256:aa7715554672f9e2e986a7c523aed0e1cfd4b6309f158a550645c619565f5102","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 5, 1, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:28eca1e9f916d3af1613ad65c00b73d3c93f07309b3f80e80298a3425b2b9104","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000065"},{"accepted":{"artifact_digest":"sha256:dd9b87a44389a797afe503eca295abcd3ff4677564589b0b7a43175921391a2b","candidate_id":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dca2d78d7b2664c7338267dea9c7541aa5bcabbd41d6b5eac6d4f18ec1ae304e"},"incumbent_state_id":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c52a0120219366b3c38bed320d7ad47d80bce43b3ba65d94e5fe884633c20983","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000065"},{"accepted":{"artifact_digest":"sha256:8a10e9c7e4b26a41ca05bb52eae73c1f67f0faac906ab85019da3907c1a25918","candidate_id":"sha256:74553d4c841b5931592b5fad736330ef5c5d6d38c62ac0cee50095ecd0fec372","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4e993c3ad70eaa80d1fdf258f0d40874a8c0b986076ac17075bf7c612fd2da41"},"incumbent_state_id":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1a38b4c8ffdae9aac834415825d1d48a917de809bc82366e260fcd40f3d4ed9b","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000065"}],"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:79d208f76b05151c80bd767235225b2c6c0a41d07308752330ceb830c23cf361","sample_id":"sha256:9ba416932545ca353ec74787951fc7ee9e9b4aa217bc49798a348049b3b1e849","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:f214c01b2285b093e641a5980896eecd29f7daec5b3eca72ba8a57dd55fa85b9","candidate_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (6, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4dd5ecef7aae8a1405b6626195324d33b31f63f4c446c511db2edb6b7be9c3c6"},"incumbent_state_id":"sha256:07a605d322b3d18dcd4bab1974304f705f92d80858cb71cf91628fd676c3a40b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c06806a4a9ad933d47e4d2b23d3a95f5f4844eb29c2c442c76edfba85125cfbc","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000066"},{"accepted":{"artifact_digest":"sha256:12beaa29206dc7508132397e6fe4c0ebd820ee4589f30a3b4c27c5feb623abca","candidate_id":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (6, -8, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4c1a9cb96af55df49b21657a2ba7a0f94f73731ba955c961dbfd3d572349a25a"},"incumbent_state_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:016ff86cfa6c4e14e317b0c525b730181f4a5b32d71b70129dafa8e9cb221925","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000066"},{"accepted":{"artifact_digest":"sha256:d5a7857ae5fdfaface754e0cdfd89769b778bb495e133de75fa49735634a246c","candidate_id":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (6, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:45876f1697165f2c138852efa476eb43dd31fdc75af5a6b522ca9983f636781b"},"incumbent_state_id":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c305a5905e712da22db51e9252e528bac9d4b32dbb31c034ae85893c35ebeb78","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000066"},{"accepted":{"artifact_digest":"sha256:5d7e7b28df03bf411f12788992e38602b0c9344fc87dcfb15c25707dc7919592","candidate_id":"sha256:762c8cbd4eb1613354d721af45524904a38687eb963f08e15fee1444fa45812b","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (6, -8, 6, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:86dfdc2ff4c3b17ccc1ad560a2b1db1780ea422f5572b81e538a59aff2ef5368"},"incumbent_state_id":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0741f0216edd457b99fec2f5cd492030c8a731bc1c9886a53e0d305aea6300d6","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000066"}],"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:5113e999d9fac41f2223c94536c8b1fa5cc6352000aa24fbd4ec342d0ed073db","sample_id":"sha256:bb45fe4803184334799658630193509d3f0233a96d1c31dfb856daa1bf9e2dc6","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:522e5c0881640c009dbccafff05d1cd7965c5496deb696afc60bd8efc206c14b","candidate_id":"sha256:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5b957eed31f67ce03ae74ee3532b8259bd0efe8532767947c99fe6d79c96a2d5"},"incumbent_state_id":"sha256:9dc803a028752bebf3bf4461c40144d2ad5f6ac79b154e168c3da669a5005e67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -1, 7, -6, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9cda8a6bc2683e7321845677dca7bf2a6565263f54fcef93dd7d93c1123ddb63","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000071"},{"accepted":{"artifact_digest":"sha256:0dcfb552de1905171a930ef99b2c98538adc0b881fcb2d280572c76f38597980","candidate_id":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (3, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7537113ddd794c5011411809a6d078531e4dad27d6b18b2fea34b8e1f4a389ea"},"incumbent_state_id":"sha256:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:97d9e9911d0c34336794bdc06e20aeb8ef98d5673ed00bc9002ae4c32e01c7ed","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000071"},{"accepted":{"artifact_digest":"sha256:d902285b24bd3f90589a258a3cc17e926589ec75eadfd23633de8f80d1f213cb","candidate_id":"sha256:ca81d17ba19d3159d878acd7e8502ff66112c8838155d3014039c973461d3e89","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (3, -3, 7, -3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6d00cc01d83b0de9d90e9ad3706d24dd1c3cba8fa7ecd4010f29bc2e0dbef8be"},"incumbent_state_id":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8e019666e0e75771379808fb088c79e129af035eeffbaa18b6b2b410e9067a0e","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000071"}],"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:e3323b19cd6429e08a0d44c41b43ffc7abf15b10bce686c49909128db865a5a2","sample_id":"sha256:76c77b1aa7e743d289ac4ff8a0dcff81aa47bb18553714e0484eeb975151edce","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:bccd5293e17a7100545969c1d63424633e736b7ef4bb9c1727ad19e79f1f1aba","candidate_id":"sha256:c035b0c086a737fc9b9ca8d7b8db9dd106e81a7af8332724f82d3a9aa776cf3d","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:24bb0982203343427aec839ca03fc875c0bb5f14f1d00724d23e557a4112669c"},"incumbent_state_id":"sha256:000e005979eb99a8bcaa2024e7589bcff46e440bbaa850358de5e86b6b8f2439","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 1, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ca5f7b99077954486d437525a5f91245be9d94117f0c086a64b55cb94ae7c8be","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000073"},{"accepted":{"artifact_digest":"sha256:cb11afb41339f9f9d7fe4703399ed022ec5730aba9b1d85e399a4d99efaf0912","candidate_id":"sha256:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a4285c1933dd8e34a480137f6dad45bda9ad12b160aca019c4ff31c256144502"},"incumbent_state_id":"sha256:c035b0c086a737fc9b9ca8d7b8db9dd106e81a7af8332724f82d3a9aa776cf3d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:37e2319e0a5836114ba872640ad6979e83fbec432fb53660d23485bbf050ec73","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000073"},{"accepted":{"artifact_digest":"sha256:a64da69cc51553119ac0b07ec34ff826457c34f9ce9c87707e2489c8cc24291e","candidate_id":"sha256:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 8, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bd79cf64544f71b0f69c4a0879f9458489f966e48c8dec1c91e01001e136db17"},"incumbent_state_id":"sha256:c1dfd9cdcf2e0579b87310ca2ed30c1b69c6925a8729fce166d2244010063de0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2c411f2772676220df0b8f11c29b68f02e864097f0395afa5c2c303b3d218cf3","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000073"},{"accepted":{"artifact_digest":"sha256:cd927d80ae088dc96e9d75382931d6afbb04a0b0aa13aa5de05bbc7133f3f539","candidate_id":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 8, 4, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9d965267d0fe2d275adbe28a486f146df7e68c2a4c13a635d56ed90c7ebc5dd2"},"incumbent_state_id":"sha256:b023f5ab49b636118685ed9961824dc8d3756c928c5a1982c15e11d3687fd11a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 6, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a102bf30742b2f6e5bc09fe222a56f0dff0567ffdb1ef48f0b5bf02d5c1cca8f","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000073"},{"accepted":{"artifact_digest":"sha256:e88e1cc565c05b46346d940f129b62fc56efed00ed1950a83e88b71623253d31","candidate_id":"sha256:db0845eef8061c724011910314c0eea6c65c19b56a4162caaaa255253f33c5e8","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 8, 7, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8f034d89a116558fc53e9bc5f9cae3b2e37d96a2e88858b3825c21a7bf039e8"},"incumbent_state_id":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 4, 4, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:715169129e239cee1f9a16a21cd5bf01bd07d008186a8bf11239ae161abb42bf","split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000073"}],"task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:9d8eb2f9f88017fb934809b87f5a6f9688da9a6dad9f7115d552a88920e2b76a","sample_id":"sha256:7f452bafd2591ca2c796a06d480ebc991acd07683f069ef7a626530be87849ea","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:c57f607a52ccee3ae8521709faa9817448b538ab0d6c8dcc6ad04519c88d4ff7","candidate_id":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-2, -4, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0defa4ffac819233f79805b8801ee9056e94ed7ed8400cc26c51bb333fff63f5"},"incumbent_state_id":"sha256:3322b8c9e4b5457c4ab7d7f0d29c96e0c08d66a54df052b776f2050814397e04","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 1, 2, 7, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c0a690c3733e8bc50b21b892f96e4f94e590d08dfa4e3b723b1435b5e3317abf","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000082"},{"accepted":{"artifact_digest":"sha256:ba58a879b7ab38d3ef3d79d74c58803ded6901a1482a8551516c554f8ba97847","candidate_id":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-2, -4, 2, 5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dc64d3091b34a18bf366283857b89abb0bfefe7cf25b4c43c3a98610830f547a"},"incumbent_state_id":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 7, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4e2343b5e909e926c13fa047c0c919d19263328f2fcb3116660fac531087dbec","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000082"},{"accepted":{"artifact_digest":"sha256:f6ca7ce83075cf355f6e5d16df88e4af46dd1fb3c3fe0687921c95c63c79a1bb","candidate_id":"sha256:6e651bebdbead960f33659efdaa8d63dc93ee8cffd846957bb1b0254fb740d2e","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-2, -4, 2, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c46dd2c9786656ab51743e927501e582bbd1d7f90f1fa560175b89bbb19cae0c"},"incumbent_state_id":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 5, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a4e9f63c9d5363e8bdc1a0064e06c8eaa8213ca53d28f80bb75c41524724d742","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000082"}],"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4de6aeb88e2e5152726596c5e214d8e72ac54dfe81d337b4364772c7507a672f","sample_id":"sha256:620447bf45cdc8360154886025c03675c52e57cb2bd9c449c798ba0f9e6f93ed","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:3ed220e3e955d709f6761dcfd22797d44b2a017234ea6f1a14f4695be57b9591","candidate_id":"sha256:99b0c607ae66281768bbb42744b4c6404e0548c657d4692c27aeeb77b95dc5ca","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-4, -2, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:b96b5b750e4f24aedb97318338234f431e19ff238fcb773adcb1b9666864eaed"},"incumbent_state_id":"sha256:d97e91aed116cfebe2eb36c7b9c102f7dc57b6eabdc82784d4d1a4c4151b6e55","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -4, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:67a5a9d11960958537b84622d6a5252f5f126ef7a2955f5cfccd978b70bfeac1","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000100"},{"accepted":{"artifact_digest":"sha256:c4b554ca60c623abbc746871795fb6c8963a530829cf760c06542c0926378341","candidate_id":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-7, -2, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:73d294dfbb84677fa4ee984501a92f277f94dbd0f71792b71f487403c70ad724"},"incumbent_state_id":"sha256:99b0c607ae66281768bbb42744b4c6404e0548c657d4692c27aeeb77b95dc5ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -2, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ee3a247fef3f3a7d2a9a645e0eb4ca18988dfb6723656e05df6c36a506f0c63b","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000100"},{"accepted":{"artifact_digest":"sha256:bb6a14a657099abcb9e0faa0ead7ac685df8d7cbce4d8fc05f298051df9061c5","candidate_id":"sha256:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-7, -2, -1, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:6e41767b1eb63b8b523df2374dcd98fceb3674e3355009e2a9e830c0e3de3adc"},"incumbent_state_id":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5c53836f4c0e8a7c6634ceebec55b1568f5d5760885a55c2cca82690feeaf16d","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000100"},{"accepted":{"artifact_digest":"sha256:76df26675ba37f30b3f1d5bbc310c7232cf2d07cd11434c384c3a534d3c89f6c","candidate_id":"sha256:3f9d78b526add12cf32bcc9af7bb86a9f71d4b24731009beaf1e8a25fc1a796d","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-7, -2, -1, 6)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:50ad7622fa98006fb685de870c347ca12f1fad607e606a2cc9f62858e3fe7d56"},"incumbent_state_id":"sha256:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, -1, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:50a3ebe2667b62f78461e6742339e83f299d0fb65e39caca581c41c7631e409a","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000100"}],"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:c120bfe8aa3e8d3e29a6093750a7c0f828566616221a1c2a4383f352db93f869","sample_id":"sha256:a9b95974285914623a10fee70d2e018c3c6c6f608d8c577734541f4275110b94","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:bf4226a0c83d2fadeba93c64d160d32b3eebaa227d71f230b26406a54a619ebf","candidate_id":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b66dcb8e41410f8f6894af650bf8ba9ca1129552a227caff810ce3b41b8df0c1"},"incumbent_state_id":"sha256:b52f9ce7fa710d0793e4fb26c44a19beeefdd5792bb6ccd175b85d77ea26df5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:380d3bf2aad83416dd739c5d39dbcd98b63be463ca470f4cf3c4f095358fbd05","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000117"},{"accepted":{"artifact_digest":"sha256:21d7051875f95f90a8bd89ee57407d2379fc2b91f03cab3386a8ec677b767f07","candidate_id":"sha256:88826f8972cee6fe588b5ae2d6a373495347427994fb855fb81e06447239928f","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 1, 4, 2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1e90b79823668a22e88909de49c0cb9877e9069d197b98d3abf1690be973b475"},"incumbent_state_id":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:532473bf534ac2a57df9f5754b8db4f902e19063794d4c9e58630f998e366b18","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000117"}],"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:0f8e7a4b4c9c59531062a794453d348907d3a0e427c5341ca1e5c9815fe902ac","sample_id":"sha256:aa47a1b6d8197d24b218459f6b6ae113ad5f55cd46382995b3383b30df18b26b","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:b2d3805fee3d5b3c3654109f0fa6e72fb999161c4f1baa13cd25ea3223b95034","candidate_id":"sha256:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 4, 9, 3, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d371c43e8547cd97385ca80f669262daf195f21574ffcaccd0c73022ad68c0b0"},"incumbent_state_id":"sha256:d00c61965d5e05f5ef36e088da0ea2802c299e58be643eace72f81624b442e21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 6, 3, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e2fb1ef7047721feafa37f4a59b2dd162bec34e742a1b2be9350dd4a46547819","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000123"},{"accepted":{"artifact_digest":"sha256:807d274affdd63d5b9bd1eff753935733e2d152ac904195d468bdee90b916426","candidate_id":"sha256:699ffa29e022561d86287592418b5a9aa2219ba757b9881e872ba1d795431faf","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 4, 9, 3, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:5df265835cea4ca834452501d0f2e18203125cf1e3aa649d4245a9fd5d490e46"},"incumbent_state_id":"sha256:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 9, 3, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5aae2d27ce4c6dfa2ad168f03b38ef6b237d7733c628469b3ec4a021e8f57094","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000123"}],"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:b6dfbb86bfdcdc6cc35dea47d6d4e7bb59920ce8b39185e269b276d787d01cc0","sample_id":"sha256:8cdc5a476191c53d7067fac62c36fbcb70a3f3fe5f3a0b56c97b6553192eec79","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:69a70ee621ad511615baac052c1f3f81ca9eccee10861a97a4ba39fb6007368b","candidate_id":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-7, -7, 1, -5, -7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:030eb902b473536d7b9e5530d07fa1ae7bb1ae1274abadac88566150547481bd"},"incumbent_state_id":"sha256:52c9f6268337bd75c47c0edd45f5efb438c56f3262f87549a6bb4e7dd9009f3b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -6, 1, -5, -7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:968fc9fffedacc864a30cab258671c11fa246ba74dc7b4e1edc0c3f6cb611700","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000126"},{"accepted":{"artifact_digest":"sha256:fed93afe11251d52a53752b24d5aca129aadd4c03c8e89102274fddb9eda318f","candidate_id":"sha256:dc573e132578de9624d57af6079f022cfeb0d4cad3df7cf559d70a6a10fef63c","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-7, -7, 1, -5, 2, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c7c497c91dd5423497b3516b9d269140798450a2bd4e8fa9c92a9bd1bc1e8ba4"},"incumbent_state_id":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -7, 1, -5, -7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:207bef985b529da0914b9e94b6250dfa143e7c7f536784a1eb9d7137c2e59f8b","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000126"}],"task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:3e132b37926ae1883c6eb7604dc7149d658f0d1757934133467a6ae72adc1de0","sample_id":"sha256:73f8e737ff7d112e59c4750f47645546d134f9fc75bd66d48f057411ed225272","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:9b20acdff84a5f1b200553ae35f576088a63a72137b4d80de1d3c56aa2215976","candidate_id":"sha256:25b17d57a2ad519b3ee12a794f8e3125f036757984663275341b481c3c8e8428","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 12, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8aae9500f3ed92885810fc13309e3e3484f09e35de4938905e2839e9b70e11cf"},"incumbent_state_id":"sha256:c2b0e8479c6496707e550568b757fa01d76b1dc0da82e7c9da279ebff245285e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 8, 5, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:03c3c94c153d3a1ff1ada92ceee281b80d04bde1103ced8879414f35165c7468","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000144"},{"accepted":{"artifact_digest":"sha256:281d7bbf6aac57698315068ed7efbd4832ad7f202508df74323d0c9f29e76983","candidate_id":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 12, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c9dd1d2955e9bd5240fa7104a32874c794a3bedf2d8e96710d9c24b45b5b6d76"},"incumbent_state_id":"sha256:25b17d57a2ad519b3ee12a794f8e3125f036757984663275341b481c3c8e8428","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 12, 5, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:efc1c81aba281abf15f7e9a17e48de943fdfe696656550c5735ae873c824163b","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000144"},{"accepted":{"artifact_digest":"sha256:de62b4417d4d4a298ab231454e91608d132a934e154e90830acc5dea16783c99","candidate_id":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 12, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:25297396f6060e90c796b0acf8894e528a9dfed92cf9af63bb293d2feb78ef5e"},"incumbent_state_id":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 5, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:602821512fe40df1a7c5aa31bee7d54281f24529b97d650bafa21532e96c67f7","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000144"},{"accepted":{"artifact_digest":"sha256:7084b52a218ce129d6dfe9764021350e0c14fb10444643871088301adb887b29","candidate_id":"sha256:4feb659f6a6e45aba6aad42be5c52107dccd94d12272199e2c18099f461ef232","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 12, 10, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:af8fe7457feaacaa9fcb9ea961ffdaf130ba97ad3d8c997a0c58e25d71ba26d6"},"incumbent_state_id":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 10, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:136aaf937326420e8bc8600de42fe8238d6592284b781136be8560829fd41cfe","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000144"}],"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:7427a377a5faae213d2d558f7d567e7372edaa471951cfe076f2de0d8d047167","sample_id":"sha256:f064af90e3be27b143f14dad08d777c18bac6bf20e353391720a3ec5cd7e6163","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:3d1dd5f7a669e9139bc7f07254ba272395bdc013a43bcde548e444c106735faa","candidate_id":"sha256:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, 5, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d56c57365b8a92f3a6f0fb0966c0115467ecd71cdc595c191793d680359b9b20"},"incumbent_state_id":"sha256:814cdb36cea04d8b82b8d61f7b5d71df6e78ce3adc6ca673a202c0e9a32df3ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -6, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c9b3427997b118b1a991470a0c7c7602f6f128d80743e007a5fb86ec0abcd2d7","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000147"},{"accepted":{"artifact_digest":"sha256:1aa617c11333c2e370f1c864d44deeda7f05460737f2a531b100d49005bf8079","candidate_id":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, 0, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:85eaa5d2e11fba692ba9623d40432fef3307f2a5f75f0dad288c9a1d2567033b"},"incumbent_state_id":"sha256:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e7ec3e653031e5046296727a2c7d397301265784b40bfa0d8feae6565efc5fa1","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000147"},{"accepted":{"artifact_digest":"sha256:d3311c5934ddd37b604432633e432a3ab4d8665b56a53e18986aded5426869ac","candidate_id":"sha256:13d5cf0fc48e9b3239085e751fe152763bc1c49bf44a160087e98c4802284307","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, 0, 0, -4, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9857339f820b7424f62d7d68378b425d46de94cf61aa79568d3ccf6f9110010c"},"incumbent_state_id":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 0, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a413846e00472b490f1c00812e5da47ad4ca732d617159e69ad291fd8e7c1e94","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000147"}],"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:6c7e9cc569495d80a9fb7572854c3a1e5a1c29be474d0ae8f63b7be193b9d53a","sample_id":"sha256:8d629e7f005a3b20a2730a420963a7333338c6663f268c2fa7c59d4afc1ab0ce","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:5f47d2f85a5adb77a2841d0b5d62d32bb91ac0972a96e3b3bd72efff3a2a82bf","candidate_id":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, 5, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2edbc7a2e1eb91bd9f9e543cce96befc9ccebfbfd3a72290cd8de6034ce97964"},"incumbent_state_id":"sha256:455793c57a4d6a02355dd2feafa170c6fc3e13fee393d77efd2194b6588f6285","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, 0, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5c7eafd19a8ce6439b7c49dc1adb0c0a0c9592eb06f927cee509a8facd14c8ce","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000166"},{"accepted":{"artifact_digest":"sha256:7cb85cf2a07ffbcc82ec760009f51dd1d89d4b4b5dcd4766e804dae20df879bb","candidate_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -4, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b0582284b5d3844f77d56da379b27e264bd8124e1bb3101652d56164d2f339ba"},"incumbent_state_id":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:964957a879fe12207df546dce8802e36899ffb70adc5e264de8ab9302e02a76d","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000166"},{"accepted":{"artifact_digest":"sha256:15775e892bc19e75ef90ec5aa2c819ccdfd14e7f411283f2e7a9e10d0439404a","candidate_id":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -4, -4, 6, -5, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:221a0e364fd39b41cce32edde8a1d70033f792179a5ef2359fae0f5a1d9bf5fb"},"incumbent_state_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3c330508f71eb923856a6740594a363eec1b04979966b7b123046db50a098453","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000166"},{"accepted":{"artifact_digest":"sha256:5c89e9c957d610e8a6e179af97cec0ad00765a36e9ac20f43adc6fe96b72aed7","candidate_id":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1817d24d5a00912bd40ca6220a7f179c05b858d93c3314994905e8cf1556fbc4"},"incumbent_state_id":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ed280dffd5f895e996cd9117d6d8de96c0b006ad3b99618142910ebb73199801","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000166"},{"accepted":{"artifact_digest":"sha256:30c5d7e6117a35b400c13efcb862f8071a130a8f13895ec87ed2f9a90d234fe0","candidate_id":"sha256:ee1fe30d0e75d49fa5bf05fd885e7975db3cd584d8b3c3ae433c95b596066317","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-7, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:145975266421622ceb37f850482cbc8694b18b4bab3a1ed8c60b962c8191136d"},"incumbent_state_id":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1c915de929b4d3c29bb0f489fe98f624774376cb172fb325cc0da34837a6ed04","split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000166"}],"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:25beb2bd4cadad9f248ebf90ed894088b4da35fe4651d50c8a4a4bafad55c2e3","sample_id":"sha256:646ac9c6357ddfb7afdcf7997385977d100aea55544d890acf1b4430901e8879","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:530a2d9bed77d3581c43f78602b8c86fdb01c149bb079fc3bace39b30b2a604c","candidate_id":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","certified":false,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:3da1d1411d4ddb9aa9195af2c8de2e3c383a76a8a4c729748c0d3d6839ab77b9"},"incumbent_state_id":"sha256:0f6a1f00e885a29f6f9f1cd3fd613f501855edad48927a49ac6f41f02bc0bbd1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -9}, {\"input\": 3, \"output\": -1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-5)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:32e3dc8893786bad9e3bf000bc688accc1ceba578a5086b79a57c1a3caf80305","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000190"},{"accepted":{"artifact_digest":"sha256:c6f7c7339708363c9f155e9ab96971e80b6d35df2b792e0c16ed664e3e9b6c6a","candidate_id":"sha256:c79d5ea7184ea0420e13a950ad1f7722fe3ddfa61df560b6c85a1b6be299622a","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:e5216b1d417fb8afd4e6d949ecd400c47e67821387d78920d077cb25100d0542"},"incumbent_state_id":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -9}, {\"input\": 3, \"output\": -1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c1141082f3d084f4d22d070330b2660fc013d5fd4227aaf6e2f44f0879787a97","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000190"}],"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:cb342ddfe04d679fb842cf053cb56fdd342da84979f10cab512a077b8e46d548","sample_id":"sha256:c562b9dd8281823b199dbdac1c458bd54d5df51318f84f78530abee661059484","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:0ec479de0955a239ffe4b686b9b60bb1c941e9e32df5790b4ad1e946630ea0cb","candidate_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (6, -7, -7, 7, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c1f795ef58e910734eb4aff5414da518bd1bd4dfa1f991fd81dfbf9b93252aab"},"incumbent_state_id":"sha256:d3cf9e0e33d9278702986c4bc88743951c2af72db28481edd5baca69f76afac1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, 5, -7, 7, -1)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7736cbac141c9fa8d4aa387503230e796a262b82bf242badcc65eaaf06f98a1e","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000211"},{"accepted":{"artifact_digest":"sha256:aae1b579845a4182a05be94b54ad63c2377f3957d241759057e97ab850265e2c","candidate_id":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (6, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0151f64d62a45ba323440745b36e428dfb1134db12b671d05cbb7b90af9ec8d2"},"incumbent_state_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 7, -1)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a62e321223ddfb4649a5edcef62d150cc9681b0596a4c46db91a8b7eb0d97527","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000211"},{"accepted":{"artifact_digest":"sha256:a714d42d05399fbf4156310dfe4ae6800bab073f663038be6c46a683413d671b","candidate_id":"sha256:e49192180f6cbe9a7d9e00205175b4ec433e3a010502f49ff6d00386b073bc4e","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:76270973c9a9b22aa77ad4a9eba39e30cc60738a772123e434f3994f46608104"},"incumbent_state_id":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:510d2a2156591f0b3778a28e8bcc2ec1e2fba7426b7e435ba7067fbf2d9d975c","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000211"}],"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4aae35c7ed7cc70b6ce9bc5e1faad79e1357d9c8343c919dbeecaa9b96f9c754","sample_id":"sha256:e73ae0ab7f9010221287404d5f8287bdda8470c63df0ac2bf3c56b368b529f4f","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:81ca8099fe15923172a5e83cfea643c6463e82f8a571764208161da60e384fe7","candidate_id":"sha256:9c3e7f6ad016178d5726b9b5707cfeace3fc22118a1a7005243195f500e29587","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (4, 3, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:55076015d82a437aa29d1e95b2d1c2decac1488167c68c0d444fcf53b8ab932f"},"incumbent_state_id":"sha256:ba5783948f9684a47b12858318c7e571c8e9fea648f029ef770b8d35aa4c7b64","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 3, 14, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:206aa3638b3069ee46177640252acc00efb5f2083987ca601a40aef5e03a6154","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000224"},{"accepted":{"artifact_digest":"sha256:8b0a61d14f2719892ec1aa9498cbb6cf080b1c3a8c445fc6e5a1951ca6c91c50","candidate_id":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (4, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9cc25bb366d8181a05941f7bec9a4d6d902fdc43bfc2b5e8bfe998d79d8fc677"},"incumbent_state_id":"sha256:9c3e7f6ad016178d5726b9b5707cfeace3fc22118a1a7005243195f500e29587","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 3, 14, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:af2a872dee6e36a2086f5d590b8f7426e3f99ce2f74b1e876394222d7258e876","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000224"},{"accepted":{"artifact_digest":"sha256:01c607a5b710ee16aa6a4ae4cfb38415223e82f502b1dbdd68f3552dded1cbc3","candidate_id":"sha256:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (3, 1, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2e56270e4ba571f99909d4456937cc2ef01816bcb71e52236c7c5ca7b3363465"},"incumbent_state_id":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 1, 14, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:208e6b425bdf15b04cd9d9a32f5e07799e3b8f1ab03d4370ecb183f2d7af13ed","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000224"},{"accepted":{"artifact_digest":"sha256:461cbc2814aeddcf03fccfc418187532417a6579e47e5928961f87f0d2d12fd6","candidate_id":"sha256:62fe04d692eba9352e5b42f58be07326514d51f539d572d23a67f277ed44d03e","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (3, 1, 1, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f4e902ea7e9093406efc08b01b34ef6f2d3b70d5d58bc71eb740cce7e8383996"},"incumbent_state_id":"sha256:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 1, 14, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:aa46436b0a2e74f0ae573d2e6fe8447027402eacc63b841bd8d6f51ce17047be","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000224"}],"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:5788f6370b13f817449b1525a53106e5c2dfb31423654eb95983570c50e1cc06","sample_id":"sha256:afecdd78a5672d11b70f910f7b4df020cbbe7e74fbcb147a51773326493918e1","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:1622f97a1f5afd3b1200255a8752f5e75b3947420faa3192a11c7d8a00a52925","candidate_id":"sha256:082f0ea086e582afce6976098d295e5668f9957448c5a3504081cbf79491334e","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-2, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7226eac07a0b114dd74c25427fc3fdb299328983dcecf265f84615268437e62c"},"incumbent_state_id":"sha256:2aa3baa0c21b108c435f14b9be1c89ce8960481cb6cba38cd4d663769919d228","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, 7, -2, 9, 5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:896b68fab6c0b5f823f8be03f428a0f6cd2a220999c44b664136b3cde18d0058","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000241"},{"accepted":{"artifact_digest":"sha256:73218493ea289e45cd637fb90babfbbeab13e583bc33894ec3b4626341fb4419","candidate_id":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5baa01e04ae1d086528cd5d8aee3120c7fe44eac454315a4d7a90b6fb93a03ac"},"incumbent_state_id":"sha256:082f0ea086e582afce6976098d295e5668f9957448c5a3504081cbf79491334e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c25511a32e423bd4b5f02741fb1ec60df33c6d5915d893920a043a56eed47086","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000241"},{"accepted":{"artifact_digest":"sha256:ecb4cadfd465c54201defa567fdbff43b4697f1e6d2cda8cb0e2c7409a7f0c00","candidate_id":"sha256:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, 7, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fb837c86901a2dcf9e54917b5a55c38733e8379635ffa6ac11271d49c4421b41"},"incumbent_state_id":"sha256:8982a34415243938bd471fe539b02ec2d347eb686a440aca2012fa717e85160b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a8d338148562cb6f312e0149c85a191d843280dd14c37521eb8f9cde85fbcd68","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000241"},{"accepted":{"artifact_digest":"sha256:a703ec46eda56bcad836ba88fe5b7f34f925b9b8639158c841cd5718d7ca80c4","candidate_id":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, 1, -2, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dd6f4dc56fc2fe5e84bab7585863291c5d107b3afff4e3e37b837798c542a452"},"incumbent_state_id":"sha256:b39f2ce2a91788fa5c546e5a1cfd3c8150b1b73a2a9c37b90d7fa937900863e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 7, -2, 4, 2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:908fefec8e1911ddd5e289623ba373db3a25777b44ee11483611d9cbe673df2d","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000241"},{"accepted":{"artifact_digest":"sha256:44b0219c1e36bb970ec5c9feac775dba1943a365575eb76c6ee2ea58a16c2ad9","candidate_id":"sha256:7f9e81480fd42d527f8cca8bdf814da2cf5ba782447914d82b3b221e5dfd66c4","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, 1, -1, 4, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:60d1b3ba357441e7f12be863936983ba93acb33ff177d37b5ec9e7d90934c1ae"},"incumbent_state_id":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 1, -2, 4, 2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6bdf830331458716cb85278bc4111214ebf6c6c6c254f83e359f1878508be869","split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000241"}],"task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:0240fd0cc979e48ce04d99a196d208c483d8cfbb763ceb2ee894a491600d1f56","sample_id":"sha256:a1f54630356aebde47195d37f842e02f51b6f5aad11c3960ef3ac9c97d2cdae0","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:2293685bdc552ede727ec0ac7afe8aa364093cd0c5a413e5e5902994b3b17d15","candidate_id":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, 5, 0, -5, -3, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f624a4a07e52be24cfc70ebd2212d5f8f13175029578be2b97151300048d96e9"},"incumbent_state_id":"sha256:dd3393a201c8313f872a316cc7306371a9cb0e50bb593893222fbe374973176b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:11c451ace5a19ce0455902123a660d2d2e7cc4891c9aaa754ce4c75c7befb54c","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000256"},{"accepted":{"artifact_digest":"sha256:0a0f1ad7a8de73796542e0a6308964c5cc4d3f45ffb92b9dad9f643a2dd90f41","candidate_id":"sha256:838db0ac4d9d2d8cc24dfbdd0e3152c281d568a727598840c0e5eaee8c73e140","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, 5, 0, -5, 1, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0efda909343f3e6273edfc473ba0931d50fb4cea92d39a2c665d0e92b400c73b"},"incumbent_state_id":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6fc5c204a8fa6b5ab30be479af5203b394caea365d8c05995927054f31c6cbdc","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000256"}],"task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:b699365fffb3a794275c8f57c720829aab0d24e442640726c32fb531e084ecdc","sample_id":"sha256:1080cdca7db5191110cd48eb3a1e39e20a47acff4b7ba5dd0a9d1338c9e443a3","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:9d030f063deb3979d4efb09336a57012975eaff2b86ec8aec86024c6bba0a7b5","candidate_id":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:96cc31e9e94fb4f0c1fd93dccbadb6d3ad109ec4d484ec795c3f152ccaac4058"},"incumbent_state_id":"sha256:fd4f464b783a574f8344a070261b13b03692862c525ce8cdeb7861aeb05c4c72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0d2e6eecf83273294f6d6b3b8b6f33b80a4ac7c048fd1449c36f0c4f4709c68d","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000265"},{"accepted":{"artifact_digest":"sha256:0cc66ef1bdce9737dd0a467be39224bc5bd2b7c85f9fb01f688a7e32cb7d8148","candidate_id":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","certified":false,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:63976944a104b64b362b96fd6437b48d59dfd0cce89365c9172f4ebc500f9022"},"incumbent_state_id":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e077e37894c20dd1221aa85a4cfd987cb6a8169814877f2326cbe35083e890c9","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000265"},{"accepted":{"artifact_digest":"sha256:413974567a8d9b49d8ae6d0c02d18c3d20a2519ee54a9868041ed0e795966338","candidate_id":"sha256:b658ac8a0f309de534915e344b5c3e3f544b8bbee46c7df80aebc213f2e2e493","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 2, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8576afa4c82035e02b34e12dbd498783ce702b13ef149a9b8ac68d3c9a11cb30"},"incumbent_state_id":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5990539a41ab819a4fa2b2f7ff3a66b7685eddc2cc68c2ea50b86d6446dc5e64","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000265"}],"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:d76fe3640abe1751e8140fbde990729c1eba0e1575ee0a1b2274877782681d01","sample_id":"sha256:1a36ef73429e6d6ac6fa4c8037696ce9069e1ccf5d0dbf80dbdc7ecfbd60a4d8","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:1ccdc70ef812d2815c46a6ef6aae3da10534f52189a7f4011d74ecdcf9ab9d76","candidate_id":"sha256:5375dbf670b437676f5ee8c161db13d871158dfb8996ee1c8e6902e5f9bb9886","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, -4, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b4cf8a52aa689494632037a10cac649991ae930487d11056b608026562fa9b04"},"incumbent_state_id":"sha256:7bfa8b48afefe7f6274dad4fd7c738b1de2bf53a912c71e0d12e89aed739142a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, -6, -4, -6, 4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6cbfde6440e537c85e40abaed145c4fb209fa1a1adc620e08a2747031d20ce70","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000272"},{"accepted":{"artifact_digest":"sha256:6134ffc5bfb34f47ba35ecda970d13166ef7f32d872326756ae70b8401d765f4","candidate_id":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8b3bf5dfc7fb97eea48c897e7148428f776b8085d72e9fcc4fa1c088748b6e37"},"incumbent_state_id":"sha256:5375dbf670b437676f5ee8c161db13d871158dfb8996ee1c8e6902e5f9bb9886","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -4, -6, 4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:77f1e5e02c6b35742fe8b22832e16c0f269350c326165b01c1db764357f9bf20","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000272"},{"accepted":{"artifact_digest":"sha256:60008293a6b99272a9cde7ee63f6389c5e9d3b6d5abe78533181d82ebb6d8fbd","candidate_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5b37e0608fa4d86b616ded15ff0b9a01dcc78ae5612f91173c4ca9ae46d525cd"},"incumbent_state_id":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d484a08094b3d8fa31682f55e393ca3b1f07d4aaabc2fe6457ec55a18e58a1e8","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000272"},{"accepted":{"artifact_digest":"sha256:92a25d405e62c135c71c9011be96d26f19066f0c76fa3c5bccb16a155356f699","candidate_id":"sha256:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, -6, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:24c3be6bcac27f9e78e3fba8b35bd077c5cc7dbe0be5e189c8cf744d779931ac"},"incumbent_state_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fec7b14c935169d697340ee757feee796342860d04671e585ad3afd80d1a7613","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000272"},{"accepted":{"artifact_digest":"sha256:09e932f782b0d874d46e458560d434dc3faabcb35f1074406ffb5b23f8fa1f1e","candidate_id":"sha256:58d3b4457c02c0432df4f4c04ef7ed410fe3258407919f336139e8e0e39dad1b","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, 2, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:545ec507a6fd8c01a8b713a64e762f655f1a256bf6b010be81cc5bb65df149ef"},"incumbent_state_id":"sha256:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -2, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:343a9b8803096c91b852225d720508c43047bc708f70752c32f80384ccc46819","split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000272"}],"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:53137540c7951f85ec9acb16a0dbfa666a0174ff241675f6dd101329b175f25d","sample_id":"sha256:7ab0cff9e0e49fe816d5d4f94eca0c7627cb55e8d5322546334034c7493d8222","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:3cfb8feb579b09635d1c9c8f69e99d8f5cb7727f1860902b856565ae00785b73","candidate_id":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (13, 3, 15, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:567d71a354ecdcf25ff2247546bdcf7d8d6cedb2850a7760d172f8347e7d4197"},"incumbent_state_id":"sha256:b112fcdc8f1da137256283402ae504d2b7f571fd553482ebc5230ff48a295f1f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 14, 15, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1e5728205793f13f9c4aa35eee2c6c00b997286aa87e6caaca97aa3bbfd84623","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000284"},{"accepted":{"artifact_digest":"sha256:85778bfdf833303f9204baace6455ebe336a427ef274e87f112606074a7b1f55","candidate_id":"sha256:b8fe8af995841297684e0489ed78b330ce34a7f75d520f772799d2578a76012c","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (13, 3, 7, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2511984f2459ab0522d2ca8de958403c5112bd8e2bf8742a1bea5a5e17a168c0"},"incumbent_state_id":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 3, 15, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:317a0a4077b5eddc28b8e2c4308cdf16f3f10be6cce6d7f2d888e3eb206d684b","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000284"}],"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:cdd38bdd0783d7f64cbd62e50bfc7b02602f155ee5d106bc14c48ac6b20806d9","sample_id":"sha256:63b959c9660c817132c06286e60c6e58f8ae0fc7d62477858bf13baae96bdfda","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:af6092b2b783ad514621a9132c30d3d8fd70964f66490802367aa3922ccc569b","candidate_id":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-7, -3, 8, 0, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4a934557330f66c007a403682f0ec5f0ba9ac35736e10d3a97b8383bc801e8d2"},"incumbent_state_id":"sha256:f0623d843b492d2198abb3a8f29d3e77d76d893e6161c9b3ba8864c3982e18e3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:035275f760a7671dc1799e908784a2777e69a0c153d16276205c73f8388b6611","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000286"},{"accepted":{"artifact_digest":"sha256:252fc99b6dc6e37750ec1504cf687f9be1bbdd7cc286ab0001d4203ca62f43e0","candidate_id":"sha256:f1d017f146a51f3d4ebc68acdf6b7ac369c3e2583d43a329eba3a98eaac8c7dd","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-7, -3, 8, -7, -1, 2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e6c64de06abb6cff808dda2aee52193ae0dc47252c610ffa2b11c6da06ed0abc"},"incumbent_state_id":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, 2)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d44d28f8ca89e884d18b25dc3145c6e41db6efbfedaa8521a15991917f211583","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000286"}],"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:414fed1fcc14ede44aeba1dd7c84d142d99136747b70a28e3aa3c873f53dba4b","sample_id":"sha256:38b583091daa2dcb3abf4e9f88a27658be361c89eda67cfed1a6d17a98386f02","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:6d948e3625872b5f304fc556a70859f1e74219847900ac6718c632beeaf461a7","candidate_id":"sha256:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 7, 6, -5, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:961c9f5d61c0e6cb1a04b2096cfd3c670458750e2400fc9490ed8c52722bf831"},"incumbent_state_id":"sha256:dc48fb4f69401f33aa354bab25c7071abea0719c7fc436dd19719e0dccf95026","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 0, 6, -5, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d033b11d834c98b0b7c8ffd1e1de5e9e421a71137dee6831fd2bcbd2470643c7","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000302"},{"accepted":{"artifact_digest":"sha256:c57cbc23e3f6a979fda12d71996fd5f99a5ad396cf9186cf444e5c0a5c1b32c8","candidate_id":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","certified":false,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4872aa40fbabf2d653dec20150ca449eb1f1fd78e68da7cc8bc0c08d765d5cf7"},"incumbent_state_id":"sha256:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, -5, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:746804f0e0b2bfa253d8118cfa69ead740c67c615e1b63fda46ea86caf547d10","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000302"},{"accepted":{"artifact_digest":"sha256:853ce620bef9a56edf118e347f87e26658b8b853624fa41a1a628a9b19dbc541","candidate_id":"sha256:a272fa63d39de407d84d60aabc09b7fcd076ebf38ad5c17600a6aec89346fc22","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 7, 6, 3, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4059cf56dc10ea6fdc8749fbf0e0e390afa3845005b5c390af573dc37715268e"},"incumbent_state_id":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7a0b96f72931ae82f0935b5a84958bca314f9d3e76273875bd633d4337669637","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000302"}],"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:62acb9f82c0b69832b063d360d8d4d4622dd1d4aff01cdb22e5280fd49702795","sample_id":"sha256:613c31bb19be7f625841c8fda207c60994eaa5d68e94cd6916fd501065ea09f2","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:b3c56b643ef36b93aad7a755388e7c282f437c44cba0fb7bdd337e1736d54d2d","candidate_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -1, -6, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:365af1d9f5c4cba0a652c43fe41b35ec3be35b126cb7505acbe615d59e833828"},"incumbent_state_id":"sha256:4bd11845c996eb6e2e8c10c9ff0691864716d48b0ea1b8bfac37dd549e2a06a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, 5, 0)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:add3d9cc732059ab08105a9625028d86bddfa80e5b0e6aab200035830aa32fb3","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000356"},{"accepted":{"artifact_digest":"sha256:accb68a8ddd8e31f1ee0711597cd08bc86377b10bc7ff2bced05b97efdf4defc","candidate_id":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, -1, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:28c8c0187d60e852380bc57e029739eb94e70f3c9edfe420fa186d6478fe28af"},"incumbent_state_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6d489e70b541caa9832c7bb1259bd7634d9d7e6286c0bd45180458927ab3d0a8","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000356"},{"accepted":{"artifact_digest":"sha256:fe43112e1b896a9244c0fa70f5559a44789add31d33830a690be7f23ce759587","candidate_id":"sha256:9250051ff773b2713083dc2802ce822956180446beb1eb112c7c4a0d0ca3258c","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (1, -1, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5038bf8171ce81a7d512dd27fea41d165025bdb34fb81b2d929683b4a9112c2f"},"incumbent_state_id":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d956d3538e76d954f450f8523f6589c7aca7d34cc2c338be0f4558cf72d42070","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000356"}],"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:f31758c0efd503b586241a8f58ddb8a8e9a5c8f297b60d647acd63621c71dc66","sample_id":"sha256:8ddde06e84df95dd8faacb7e93dfc8e8b441d40ba6f5b1d3c74c31922043fc13","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:1904545fbc04faae1b027a5fd6bcc78d1d624f8b07aec5cafb02f194dccbddff","candidate_id":"sha256:025c565dc4f5f4b6807a3c3e42c3465dcdc3c9387d19015a21a4566b0d2e1bf5","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-7, 4, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a752766e1e6441c92c93b90c8c94c0b0b71a7e57f3d3e33c31ebeb4f3ffd2418"},"incumbent_state_id":"sha256:263121b7a14378821a11690b13b298c5ec7949d66e4b81cb52bdd19092a2800f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 4, 4, -2, -7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5d90cc48b61592dec8309453346fbec7b8e5a649fa800a20a6a5e2f8d6ec20a3","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000381"},{"accepted":{"artifact_digest":"sha256:0d705de79e60886a12fd616fb405913ad85265fe13e8923e822db4bc41beb710","candidate_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-7, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ab25682f89b6b4126fb5fe3f13cdb9e7af849825a7911e440ded05dbfea45dd6"},"incumbent_state_id":"sha256:025c565dc4f5f4b6807a3c3e42c3465dcdc3c9387d19015a21a4566b0d2e1bf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 4, 4, -2, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fb97632ec6dabccab95e783c35fd5d5621f7eb1993a9337b3e3acffcd574e1f3","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000381"},{"accepted":{"artifact_digest":"sha256:1a214473648c8cc8c96e12cfc2cda308ce44b716696db78e9b43831515bc1867","candidate_id":"sha256:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:02c830b250212f250f38a6e7ad051b85c17a59d45415eaae75043987c0e86cf1"},"incumbent_state_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ae56600b62444c6029193e01ca4fd15820ce4fed68fe2f4fedc29348a1264d6a","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000381"},{"accepted":{"artifact_digest":"sha256:7a4a2eae422a7f762438ab9e9879f347e96e5f283f0c9635124696bc5ee96230","candidate_id":"sha256:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 1, 8, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4727aaa56e2e757d5be27fbdf2f987c0e01c88be33af6f0884344e614eb6b7b6"},"incumbent_state_id":"sha256:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:784463bad00e2969cf33fae164460b2457fd85ec93ebbf51488fe7662d64bd72","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000381"},{"accepted":{"artifact_digest":"sha256:ce1c7979025b60587c0ca6fae1ed35d6d312b46d2bbca9c5faf7e8a8287069d9","candidate_id":"sha256:5a5229037cfe7afbad50f5879d21545aac4263d4883abdd9d168fcbfcb2e6aff","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 1, 8, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5ce5dbdd51fee3a59f529a428d4bae207922eb15361471fc83f844c385d9d5ab"},"incumbent_state_id":"sha256:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 8, -2, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c83b97e6f138650b8d230ef35b7cd16145391fc5c9fdfc226d66beec984d5bee","split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000381"}],"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:04d51983d42960053ec9dfa8548bd415aec8d7f6bacb556edf2ceb2b4063d430","sample_id":"sha256:b9f68773591ddca8dc6f4cc6c365a038beac6ccaebb99c67c13a63345f905214","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:98fcf716a962f34868cf1af905ff812cdc95846808c1c9eee53723afaee42623","candidate_id":"sha256:aa4f3e95ba32fd73569343dc8a3f3cfde55048be4ec71304a244b0710bf1bbe6","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 9, 1, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f8cd7bf20478190a358ccd2106a8b30f4d9a8a23db74230266e4ffa0f12f3526"},"incumbent_state_id":"sha256:304a2c4c718be4388197c7ac0b7e5a27838eb7f90bbb44a3bb177bf005a5ccf0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 9, 1, 6, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:66103cd21301646d59757fcc58fb00e7ca09052d58fe453b2017434c45093747","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000383"},{"accepted":{"artifact_digest":"sha256:a3887bc769056f451d33799264313c7d63eba3d9b5f6dcbb4c1dd5aa6a9d3f29","candidate_id":"sha256:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 9, 1, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:01628e0973f31c65193e6ee0f58e16888e0541b00f53d44b5d66446c8e7e4f17"},"incumbent_state_id":"sha256:aa4f3e95ba32fd73569343dc8a3f3cfde55048be4ec71304a244b0710bf1bbe6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ec88761c749b9f3f3dfc1c5b820eb8161a7e25fd419b2c730a4bfbe26dd8f7ff","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000383"},{"accepted":{"artifact_digest":"sha256:c19ec976c1766afc6a1c519a5802bc2450982cc06df49cf42daff64f7fdfbba6","candidate_id":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 9, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f2cef6144def7e8855b1b1423ad43714a14da0fe65a2d72d937d10ca088ef0ef"},"incumbent_state_id":"sha256:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:829a2b698aced8c8f85bb485fb193aa5e548e4a20c9423f655de4692334d3810","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000383"},{"accepted":{"artifact_digest":"sha256:6b404e40411eb2669478b9da327c64ec41f6213bc018c8e1ef17fae93afcb6e9","candidate_id":"sha256:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 8, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3e107d5f1d6d89bb9178879cabd56b917b63bafc5d1a5bb0f76fec74f5286db2"},"incumbent_state_id":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5b5d30c20fbe7b71e26dc01ce5a20011c3d8829b79d7c2a27f1b7adbac3a0003","split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000383"},{"accepted":{"artifact_digest":"sha256:3fcc080752b664b759bb5543b9e8cca92ba7d43b07a3b34804a03b19b251d7a0","candidate_id":"sha256:f2d6518b35b3d3b3e7e4df0d5e55d8e95ec3b560f41857e061598a187a8dc847","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 8, 7, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:63336a684fe69f365c20caaa8e30711ca7031e40c20c4845d2e6c58af19db58f"},"incumbent_state_id":"sha256:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:95a306ba005fef6a47cb79bc9f70e22f4169b8f4b54234976482541ca56dd370","split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000383"}],"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:52ab1e68b1d4c204f622b027a4d32c8d67bae839813e03d15530a6e16980dcab","sample_id":"sha256:31f16b8717b95f811ed821119c27abe408490e8ddf9e824a3a17145410c8bad9","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:b6d92ef3131789206c0aa36ed39d8ede06ae28ae2efcc96befcb73907c42b3bb","candidate_id":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 8, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:908720a00a2e07252d88287a5011d61697d9f98d72e5d60d4f4e0162508d0ac5"},"incumbent_state_id":"sha256:9ed67cab2efa1387749e6e3f1fc7ebd02c9ad85ea567c9e9c372468e7e7a2208","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 8, 9, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d1ce22b75df8e8401db63bc78265b30460af935dcb1758bbc668879b518a6f65","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000394"},{"accepted":{"artifact_digest":"sha256:98730087f692695cc0c474b9c8fc79cd3c9ba6d7e8b46668d087048818925adc","candidate_id":"sha256:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","certified":false,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 8, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b57bd4e071fb3a4981c7a4a3edde3517691dfe8fca9c5d009938d62964ad67a8"},"incumbent_state_id":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:012770e7d9686e6b1a0d389f19198a2889a058f96dd725e57c1372a04463042e","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000394"},{"accepted":{"artifact_digest":"sha256:2a5333e871c00268cdcc9880831f3d0033dcb1a4f48941deb584b7f7f01be5dd","candidate_id":"sha256:74423356dee47360287da563bde52cf455df5db9de4f8350e8558cd7a44d644d","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 8, 11, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:208069875b8e09b502920ea2efa21dcd6831ea14f68d3e1736985ff71eac2673"},"incumbent_state_id":"sha256:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6bad6a727b022bb6181ee5a56f5f45768f1af5cef102115d0a3b55d2b7f4811a","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000394"}],"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:11cb9485aedc79c5f9e5dbacdc82886755402733dec719c1d50dab1dc4eb6453","sample_id":"sha256:a47b6d3311cab27d198b28df54992030820d16b2588876dd6eca1c86f9dd576a","split":"validation","steps":[{"accepted":{"artifact_digest":"sha256:d9645603b9e4a92bcf2343698e24f4d1356270f9a3d1d10cda7d751ab5f7aa40","candidate_id":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b8702732662d34f0ce284ec249735ef80767f5aa2bd7a6b57c0746896a9a0330"},"incumbent_state_id":"sha256:a3281595927a0f75cca0419acc12e1aa76c43c82a71616cdeb8a5ed66cafbb80","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -7, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0d416cf6b83ef5456d0a90abe2d0e52013b336a398b168de45b7503653a2b540","split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000397"},{"accepted":{"artifact_digest":"sha256:ea591d53969d649371c5c130e0edf5bd80e66b360620f6d4be1d6dee8a7690cf","candidate_id":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","certified":false,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8104fe13a6d2313b9d23aa44a3e3026a6491e6c2c4c6c40caad28019191561f8"},"incumbent_state_id":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8dc48774675bae89a75def5c92b42a62690beb0b6316d07ee38172f9ef57f63a","split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000397"},{"accepted":{"artifact_digest":"sha256:c455e7bd9729b2d8ca438f411e382d306c529bf09cfc6663ed14f05ecb9011b8","candidate_id":"sha256:28c91e734d3dffa212280af5175da937b596cfd8353fe62be56e302cf2aae781","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -4, -6, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cbc25a5bcfc0b056ddae02e3ad866a89c5094c6e0d17c3640b8334c78d5788ad"},"incumbent_state_id":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:23ffbbfb39975e2e97395e5f294f68b6f91ec21c7b6c6dd0a42c2dd622ea9f8c","split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000397"}],"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}