{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:f9e1c75a3dded546ca9e300007597d37ce0f7a30245110e392a2b4c901cb129c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, -9, -5, 3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9f0d077b74d864fd5d5cd23339e3ee7117e27234a218c2eb4ab793d64c19c290","rejected":{"artifact_digest":"sha256:ba9ce0b4942316d3087f7c2f8ff927bb6a2ec341241f5756cd9d37e6220c3b8a","candidate_id":"sha256:40a83762ad701cafe3040ca4690d6f1002e3b40ea8b65fb2a5f432c8258c21ed","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (2, -7, 2, -5, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0026cc366a42c88bd1b5cd6a7d11121817a010428eb642de044e68fae6e67a52"},"sample_id":"sha256:93b70ecb3aef4e7667d22a51c98b0358de72f7ff503aba5bbc125b000d6ca5cf","source_transition_ids":["sha256:4daaec1d1ce639b9916ed649fea02cd01de6f37228fa78d547209223c9dac5e4","sha256:278326b490158e59743de7d5bb73c66dcdb4635282d9dda650461294c41ef98d"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c93763c67638f924d9aa274c0ac03bb9b5c2d125f0635b700961883f8596b137","rejected":{"artifact_digest":"sha256:053467347f9e8e205adf532473a5e06609ca855afc3c931f0fb2f4ac21b804f1","candidate_id":"sha256:67ed00d84692d11f5a25cb97b8f49e39ff8c0b7c565c02f1a97036cfbae16891","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (1, -7, 2, -5, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:bea1d213ecbb6504ef3a78f7369eceb4e682805bccbf254e50e95f5d891a4193"},"sample_id":"sha256:b4d2a75535830dc61f1b01b04cff5e7885302f44e747801f6f8c0e0fecddcc88","source_transition_ids":["sha256:cbcbe6079917032a1d6d2c9b0829890d2e093577961ad19088e9dce726bd0124","sha256:20c13584487426800913d673bb2a60053acf0a1a2937e7c5f48f5d5d9818f7d0"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:af0176fe875836d5069798fd804ae6255f1b321984d4b306f72b5dd8a4f2487f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 7, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:845212168fafe99013fe3a208405b39e098add88b74329e6acf0ae45976ef2bf","rejected":{"artifact_digest":"sha256:4677664c672f905a5659cfff13e1670852d68eb7ac1be6b7c4ff626621263177","candidate_id":"sha256:a68487aa807c2372be793c68f4dbec9ca98c68ae05191c9861f4e287862e7829","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (10, 3, 7, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:86d5557bea5d8d3ce440742cf6595a3911a53e5df6f116ac39da3dd74508e6ec"},"sample_id":"sha256:b63e88b3d703ab163bb9bcf404387e2eeae21ce3082686654cb0cea4f5e887e4","source_transition_ids":["sha256:590264df8e5b56b8bd2174935043d2d1c4908d24b0bbc2c2ccf503008d866a6e","sha256:e9f45ad5bbf4c4d7aa25a87659a4fbd66811d7b99f7472f44cdcf90b4307475c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 4, 11, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:d8367359431ca1e1aab05f64b50036eeb38c35423cfcdb9d2f56238725a0a8ed","rejected":{"artifact_digest":"sha256:23f613a3bdbb015e18e44f29eae3e9c09b9af8020677a80c40b4fd390abe4513","candidate_id":"sha256:a1008e983fbacc673a9065f23b778f62c0f6db00dceb220320198ae0bae9749a","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (10, 10, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c5af5e49dd7f9748174edc54c48d4945a210fbac250c6fed2813b3c917f8ff8c"},"sample_id":"sha256:b18f06cb175dd3afdd9eecf9da3a55f5d696c738e818286a1466d3ba667a99dc","source_transition_ids":["sha256:61980719a3523535055b52c624585d1956c2b0a24886e3b9103c2674e01ea11c","sha256:0e04af3fda27c3ea36b1e45bb087cbbd47e4c940c4d44900cf0e7c2d52b299c9"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 4, 11, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5b40b7552496fe0d351bfcffd24338feb8e971c8bd3d331a820df4300a13e80a","rejected":{"artifact_digest":"sha256:3bb08b9f9fa5897448b7af327ac41f2ecced63c6bda482debde1509602fd01a1","candidate_id":"sha256:40ccd633ce28d383308008f3663a7988c1c12d6e8aaf43ec2d751329ac2aec65","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (10, 4, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f04eb8ab4ddec095abb5855c90c7116040abfab8b6765893021f67c888963a9"},"sample_id":"sha256:21d192db390c154c4c17b9977d579de7c207a7dae568817194025ce9db17e5be","source_transition_ids":["sha256:3c6fecd22f464423b3a152b72603b8515d3872febb6ae4c4c59caf7c93dc7eec","sha256:4f9790c2afbf5d261a97741fcb79a19df49c8e407121daad15ce63e194ae8f44"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:5e9766d4424e68a5693c76c09fab7fc321fa03f1aac1f89aa79d16aa09066318","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, -1, 3, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f8a202a6f24d8d3ac52d60e453c056bcb93d4176b51de0c0195615e26dcf9dbc","rejected":{"artifact_digest":"sha256:3fd78289f31375b36f31905b396b9c9746c3dc6165c33f443b29f9d650aedc35","candidate_id":"sha256:8b0bb1fae64ab01cf88264b926cdb5bad410bf0985e50c301bf2c02f7faaa24b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-7, -5, 1, -1, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:38635af219ee0f80251b0fd80023cb402065de5c252553f50427fcfcc4eebeb1"},"sample_id":"sha256:10bde43b295456acbdf8cce24e3f9a303ab0010d7b10e84d2981bd79cb77338d","source_transition_ids":["sha256:5006e47bbf79169254dec0c554feeb67e72b0cd53dbedb52c099a373e078b533","sha256:fc4d2c91d5be915859617d0bc223b9aa2aca8c8722605af610b072bf27f6bba1"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:088d9d8fb7a5d3164dc1cf01380c5aa06e119ebb4598894616c174d8c79ef81a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, 1, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e714e6da7f710f93639109d09f70ccb04aad395a9c56a766252b44ea0a40f572","rejected":{"artifact_digest":"sha256:9e5e45b4efd2001b687b9f6ce354304d3f9a81f329ad01960e84fbe04a960340","candidate_id":"sha256:5f1f8ea01d9f26983e01e369f1ead0d7f89a2cad2401c9015fb2c6ab1af7d8b9","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-7, -1, -7, 3, -4, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0f66f6e219bc6cec1e972b055348a604d7863400adde629474d0e920b3b45deb"},"sample_id":"sha256:3bef303eb8bcc95476dc6c09f7caa77cab616881ac9d90c0168cbc6883f574fd","source_transition_ids":["sha256:cda675cb63210e083013dbeced0d35e2589f572d5034842acf3d7b79d6bebe72","sha256:65bd8e1d596ae04d3d90afc9f6087484bb64f792eddd3def35cc8abbf009371b"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3b4f7f6f80b85a0489e558548a89ab1314f1cd90fad055e5baeb511cdcded554","rejected":{"artifact_digest":"sha256:e869ca073e5f9abcfc5abe04ac9a552d346e2211bf2d31eb034bdda33f5d495d","candidate_id":"sha256:9cd36f048142a8b016374fedb78b06e181a46fd7258134902b54b5aea48df00b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (0, -1, -7, 3, 3, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:23e31bd9c409f16e7c5d0059cbbb14c831021780e8cc39602ca22786adcb7f79"},"sample_id":"sha256:607c135538b5f58d3bc8182ad3af10747843eaaf1e2f8ad0297ce483d7147697","source_transition_ids":["sha256:d67e0ade75b719d3b68693f3f701a41d5fffd1533e5891bceaf94a7374e64bb3","sha256:fdcdabaa7732e01a5d1c6a588ed1e31aa02fd48150215f7a9d60b3933920b5fb"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:a8b0a98929b8cb566515ca3ae190936df3559de0db1527d573c651f576ffe666","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 1, 14)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9f80db93d8c48ea7307d6e6d05318b59b84d0309a81c3a68f3a2d04946611722","rejected":{"artifact_digest":"sha256:c3ddb43f79e68f3a449ad475418c3e6ac030efcd1e94206776bf12501c2efe35","candidate_id":"sha256:2e49438c5feca59755de6e26dc4f4f780d5cf7afa7dd14bff65ee8c338f083cb","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (4, 6, 12, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:bf850fb5c5c5f6eca4005f3d81a583c781f6b117b05c54d064579cfd45fa5d77"},"sample_id":"sha256:d0ddbc2be19d3a67764b1c70a3461ff45b409ce51f984dd89b9ff4e98d12ba14","source_transition_ids":["sha256:2d1617f36594425633b0df1dbf6052b50ab372d26e4daa17e8a2a99f379c17a6","sha256:66d371035852181a9950371f99e2b600ada7cf82625852e860562d11b4c01ea0"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 6, 12, 14)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f424bb9743a7bfda356ee1a0e4c19b995625cb687299284ce1c20ba5b6f6ec13","rejected":{"artifact_digest":"sha256:c2bbc40266e7d32d25d54fc7266be41dddc87925ca818f692854759d5a5e423f","candidate_id":"sha256:10d710db7333c55a475df528abbd46d4ac8aca63eced3751719f16205a82ae1e","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":6,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (4, 12, 12, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:54b5f1e45dd40fbefe43aa01297f8a86bc83324a6d084d7bd8a558f711b5ceea"},"sample_id":"sha256:a05a11bcc1a44c2c1a54342a93c6711311433849c252684b5a94f389db5d2c40","source_transition_ids":["sha256:f2c9af5fe37c9d815a37f8fc6cdf38fb66fd18d9c28bf946ad1e599902eaae9f","sha256:872ca911176e8269dd7f1ae59b1b30921dd9ba73e95839eb402106d87e63d0ee"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:3c90a9679688f136f4eee167354c78cca3f503cf6456491c8f8ff80a06053250","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 9)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ff3dacf40a3c0f60ce8ea56ecfb1e71b92c141c6a7ccdce6a55a3443f4faee3a","rejected":{"artifact_digest":"sha256:9d0eebe622e3b569d9941eeb5e0b3d4ebbb771b63fad6abaedc7f02a194635ab","candidate_id":"sha256:a26f5300a319bea8ab7aacb22dbbd2690d2246308f71aed7190aed58502ca66b","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (3, 13, 10, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:83a665413c3e29efc4352d92dc55b9615ee14da9c272f406396e9df3cb7cc242"},"sample_id":"sha256:25965a031ae4052b8f6f3f04f575541c0aa04b4a84e633d23c6e27af778fb856","source_transition_ids":["sha256:80dc8b84bbf4ed5f67d34d5d6cf2910a2a9aee8bddb1a0b5b900dd0f9e027de5","sha256:06516afc975c19f60345fbe81c745695da03da500fdde62ab62c2ecacb96bfff"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:ed1cfa9d57ce97f9971b36f8222f47daf6b5c3d921eebbbec4d5549418c7a627","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 3, 10, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:618562abd704598635635b86e111df3c5787c6ee327751c719bfd22bafd6d769","rejected":{"artifact_digest":"sha256:5b43bc0fcccc832bfc4ee91a095b93f5ca1213356fcec506960fbc48ec98cf9d","candidate_id":"sha256:25a31297e057c9d0e7251f629fefc8e013a87f6a6d7764e4f15e9ba1b7314480","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (3, 13, 10, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d7623d563c4bd88bfc92c9700410c8064aac63189e62bdac6293a2645ff4ca5d"},"sample_id":"sha256:5953c9103ac74cf88f13b4b4d722c375df1cf49a55e4c4eca0e359c46914cf62","source_transition_ids":["sha256:1d898e910e6c6ff97b8a44c60472489e2df958ab024c0ba5cc0146094cc0f90b","sha256:648dd0ae9a21d68339a5648cc8989769084bf563b485c07ece52a04e0f45efa7"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 3, 10, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:bfd27721749c2dff6ef0ebef86bf16379123ff2fd9437d7091f7db46dd4a0984","rejected":{"artifact_digest":"sha256:d96cf39dad01d51199d555c8eee25c304632b59813e7588a7e6d28bb256f145a","candidate_id":"sha256:31d1eaa163126e9aa1bb4353e39ee8328ff6c2cf28a52c08b0362ffb52765c06","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (11, 3, 14, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f86f08bb69c2b647bfd131edc7dbf4c84f2dbc8821999ba266d44ba75746a7e0"},"sample_id":"sha256:00185ded427b8d27fa11ee7975f4682dbcbabb0e30984303623d6fc38bebc47a","source_transition_ids":["sha256:5337ad6b6079dd05e698be826c5007298050bbda473a4cfa6b2fe5c5f3929ae1","sha256:5e681386bad910dababd8b9d3ac31812a0364300920d59fa3a0aa74d3c80480c"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:b923383f315bbd2d8989a1a25ad5245b5cf0b9f4e3f842e7695a1b4c9babfee8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:58c41b257f75e15ceb78e99635ae43260e39180cab3e7649fbb7f294b339aa49","rejected":{"artifact_digest":"sha256:a053b4fd8c416db60f5a995ea1a84448327a3ebae0f18c819f6a072e5dd93556","candidate_id":"sha256:54403ddf2144fa1507c6087eb2dd64e12b87771f2c084fd2c3719be6fd56b816","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (4, -1, -6, -1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:91ebf49b8e2d0c54eafe2fa6c465596ded17335863e9e3d04188c98a46c044fd"},"sample_id":"sha256:26cddbdefa4d8bf06670c4ed8228d2313e54f38eeab574105e079903b3c9a2c1","source_transition_ids":["sha256:189120c73c823c85423d62f03b8166ea3bcc15b94cbd2293228053a736474fc1","sha256:f274941bf8cd5ed43c8ecc99b0789dd16636a2c88210382ea4d154a3d54d5d85"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, -1, -1, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:56b4ca5f2b761e215b501ad59c0e43c18eb43ef82b027d6661af9030ba489669","rejected":{"artifact_digest":"sha256:dcd7428105df7e7e566010057d45b9f0ed9c188adbce5c58675e9c1423853d01","candidate_id":"sha256:5fc1418d64e3b8e1eb583a6abf897a2542fccd51f987b4ac809c45a300457b0a","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (4, -5, -1, -1, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:55169cd9182301e31eecdd5f0559df077bc6988ff9c0999265bde6d9774cd19f"},"sample_id":"sha256:6f10ad10b511c730f464aa10a5d0066a57296fd00b25afcd6e7d16091364c538","source_transition_ids":["sha256:a4df4f33c1ca80173639912bcb63ba0db9222f1a371f0c76eb428db363e652ce","sha256:1d21fce2c9fe73b13baf5f70f5e8223eb26fc9f8eb3322c96796182256f947aa"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:30836220a1cf4f7293a4384f633de5c164824b05cc26dc5aa1a9c742d0d3795a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:b2f0a2617d60f3aad8da1abf73861b205bfe3eca7209093e145d294849bbcc5d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 4, 0, -4, -2, 5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0b22b646067ce9f083d06f1666ef99801f45303870a024f4d3f6ea0d1cf51864","rejected":{"artifact_digest":"sha256:46874129691e02184ac95eb6da87e4148e55fbf6519d3a3efa5528583fcf26bc","candidate_id":"sha256:47f6c65875cecc35d26d202e67ded9140170bf1b43ea8ff16cfdc4cc4ecafb4f","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-1, 4, 0, -4, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8ce26e2b86dda300db765abca107eb3243dfee0dd317a4a97354c69ff9d0ba5a"},"sample_id":"sha256:750a252b68faab92ad84daa59ad2f4528dedd9ddb460c3cea66d1f1ec2b0729e","source_transition_ids":["sha256:26051b71948c2965f5f33ddb3107046af82d64ec0f87afc31407aa44c066120b","sha256:e272badb6fbc3ca719f8c079208f96afc05bebe4df5a0e0c50a1fdcffe6b9173"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:aa7715554672f9e2e986a7c523aed0e1cfd4b6309f158a550645c619565f5102","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 5, 1, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e9ece97d4f0a72963591ae2c2c2db2e285eb47391adf2c71a8186e0ef0de3989","rejected":{"artifact_digest":"sha256:6a46980de55932b0d5b97a6ce6c1c4c356a20523c8d9c6b0e982c3e541c1f0b8","candidate_id":"sha256:8d167b2c4f411bcc949b4264b553566e15414b212a29a4d845d2da3c08b1a15e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (4, 4, 1, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e7014fdaf55eca69ba6d67760d9e361d43c070fe867efae50d4ce4152d772468"},"sample_id":"sha256:03d2f73487bbda7d00a48c0b324aef46567bfe0269c5ac1e9f5007775261042d","source_transition_ids":["sha256:28eca1e9f916d3af1613ad65c00b73d3c93f07309b3f80e80298a3425b2b9104","sha256:204502189b070455bbcd3cb22fa284cb897ef23c224086ec9b11bbb695f9279f"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:192c7901253490a67f7ad2cc7243f689ddb710277f573f700e0e9e74beba66a0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:12658f71dcaf4f980b2ec7ea52715c6cc6a5403f52554443f30c81977f1f1815","rejected":{"artifact_digest":"sha256:d14fd157760dfde3350424429143a70bfb67c6cc3d138c15b32e8d530b5fbcb3","candidate_id":"sha256:457265eac81978ce50469958f6fb87b77d9f1403b277cacd925491d55ee595bb","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (4, 3, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4b86bd88cf59cc661818d43939f428ea733253c27abdbc750d832d7188e05f80"},"sample_id":"sha256:d31e15aa2754d58b4ef2c2a7477b53e0c3d306f992edb58fb58fcce5c469fe29","source_transition_ids":["sha256:c52a0120219366b3c38bed320d7ad47d80bce43b3ba65d94e5fe884633c20983","sha256:03d72ce56ac84d67fd43dcfc7e81cd423230e657437e77234a1b724cc69a55fe"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 1, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5f9114d6e5a38e6062ef48a99b254d4deb74aa1d2cf78c08376709478eff60ca","rejected":{"artifact_digest":"sha256:a22e99c313a34831d927b95a7f8a6dcd7650309d21e05b62b6c690b84cae089e","candidate_id":"sha256:f36ec37d93c270fd5e675691cf0925cb6a8adc78c66c0acc61c06992517d69ef","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(state):\n    delta = (5, 3, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:61ce14302f0d2e65bbd217837ff356337aa30780a5730ef17fbf5fca26c7dc5b"},"sample_id":"sha256:76ae8a400ee5ef75ddf43df10710f1a62358aef1e435fc19020004de07f126f8","source_transition_ids":["sha256:1a38b4c8ffdae9aac834415825d1d48a917de809bc82366e260fcd40f3d4ed9b","sha256:e37c799e2908e32f2a83fe4d5cb84dd5dc9dae4d57a9b2401439e97f58aca15c"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:07a605d322b3d18dcd4bab1974304f705f92d80858cb71cf91628fd676c3a40b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1e2da3ffec78bcecc663ba975042e25c494217489cd638869f5c65c6948e572b","rejected":{"artifact_digest":"sha256:40b48d60da34e3f23d994e48cacbb672ee416aaf1915c8affaa041cfff118646","candidate_id":"sha256:4a2fcef8fc28037c3f99796f62a8e733263eb1588c52cf3c33fb4b754603a20f","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-7, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ff96a4109256793f53a1a2b39d76a7dac985a6541e63f15ef9a62f14d45dbbfb"},"sample_id":"sha256:ae76cc13f491290f3f50e3cf59be52ad28644879dbef47f9f80bb03710e96747","source_transition_ids":["sha256:c06806a4a9ad933d47e4d2b23d3a95f5f4844eb29c2c442c76edfba85125cfbc","sha256:fe73ef98cb6147c90cc358358c0a46360d3ad4dbf529277b0eaed063688fd3a8"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:43e9e0ffc61d4afa8dac26fb5ca570ba4a09b564c692412443c19903d0ce703e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, 5, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4c44d57ae14c9719c9b323bdc623cef34e7681c3fe8f08aaf9d1d8f5aa78c407","rejected":{"artifact_digest":"sha256:d6ecf5847b45f4772b1c8509ff79634925b9ccd0728bec716541716d6891d8b7","candidate_id":"sha256:870ac2b485c1e245e42f36bf41ac4603b067c61168870420708be4f2784b463d","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (4, -8, 4, -4, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8dfb01d4f366084630efabfd1726bf218ca194b54dd9fb0c12bef2210dcc1bf6"},"sample_id":"sha256:e542831e0e1dfdd10f2f0847df9dbde4c78e8f5614cf38f60259788e7b50c32a","source_transition_ids":["sha256:016ff86cfa6c4e14e317b0c525b730181f4a5b32d71b70129dafa8e9cb221925","sha256:22906676de7914edbacc4ce62d7c28cd9165da407eea9b263d321b3eaa48ef53"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:0a4ce539224dbadcb4265ca9fb29683d83836b24b5dbc761d582d066cda42901","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (6, -8, 4, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7372f5c6afa9226babe3e7c80dbb6dff7c30c9b82f4ccce5071604f7d12fae3a","rejected":{"artifact_digest":"sha256:6014d4afe875715873089be9bb342b8212ae61e094d438d489b6c2314737578d","candidate_id":"sha256:af246da25a0a68b7cb481f23beaaef2fbc31a20f602eb890e3da3e6b1532b1c5","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-5, -8, 6, 5, -6, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:34fe3d863c92f744d87cb14952c92020c88adfe447a6f39e4e770cc1e78c151c"},"sample_id":"sha256:e2c3432202cdb989e4497a9ed54da869393ff22296e72bf65fa50291096761e2","source_transition_ids":["sha256:0741f0216edd457b99fec2f5cd492030c8a731bc1c9886a53e0d305aea6300d6","sha256:5d4045d4f5d3ab95927bcb2b881bf0bd6eb7a14de19aee80a066cb41f65eedcb"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:9dc803a028752bebf3bf4461c40144d2ad5f6ac79b154e168c3da669a5005e67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -1, 7, -6, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ec8562eb28110dcc0dd3f8c2a1ca8be6c9e8edab5454a8798c9ce6112267f66d","rejected":{"artifact_digest":"sha256:c30a916a7789ac03b4b9bbb17c87fc0c2f875c1a029e725580247ad7a63698e6","candidate_id":"sha256:bda853e0d3a6c910e47ecb2f895e49b804c40d129478ff0863971b7a1f6da753","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (3, -3, -6, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6a80aaa302fb2d82994b841195ca602c3e63401b188f716070580999367d0716"},"sample_id":"sha256:ae6aa75b9c4b6ff33ed54cc8f1e6f9fc9e2ebeb37b1c8506b9903a874addd007","source_transition_ids":["sha256:9cda8a6bc2683e7321845677dca7bf2a6565263f54fcef93dd7d93c1123ddb63","sha256:4f3cfba7287e949916bde9d712d83f34dd0443f02e7a70f49a4339236441be67"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:c9b15ba7be5b04c19d742e59f9778e45caa6a3c70212871ab27511fff7c2786c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b1b3a2deaea7b5bc8cd0231b8c125798f39685ff361293363a4bb4a974ef5d50","rejected":{"artifact_digest":"sha256:e381fb38dbb404453c6146085f368de2e899b6a6d9f14b6ea82332a830231d75","candidate_id":"sha256:bbd73d8028fad5fae36e82617ad503f148fb66fb7ea3e3e3fdcf4a31f2548010","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (3, -3, 4, -6, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:11bf8e48e006eaa3ffbe189aab1a1feafd7f7651037b1be32aff3421e3a85bce"},"sample_id":"sha256:60d925369317034d4043a4b70c0e19cf6a611c02eb781cc9033413ff68a4fb44","source_transition_ids":["sha256:97d9e9911d0c34336794bdc06e20aeb8ef98d5673ed00bc9002ae4c32e01c7ed","sha256:07e712879a69e9bf44761e6f5d1834ff6d47bb017c77a4b80899793ad40ef0b6"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -3, 7, -6, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a46aeb79c71493a6305dfa388a311258b60a4bcaf0f100635d0fef938a09acb4","rejected":{"artifact_digest":"sha256:f4fb140d654b3546ea50a06b2fc3e5c28daa1d57524a067ed0b256034e8a459f","candidate_id":"sha256:31b1a9ba46bdf667d3a3be6151b1fdf1ceb50bd5239ea7253007fc0073f43f21","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (3, -3, 7, 2, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:32a8c3ae8a56f8b48614da4a1d5e58014fc562fd626623cbdd9ab8baaf67de3a"},"sample_id":"sha256:d8443d7d2dfb0e1a9a30262064870e01ca1565d40b586d9103e954a56cfce5a6","source_transition_ids":["sha256:8e019666e0e75771379808fb088c79e129af035eeffbaa18b6b2b410e9067a0e","sha256:10a0019fbfe54f0329210e35f0c44a598ac49ba1322898cc7c5f1448d512715d"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:000e005979eb99a8bcaa2024e7589bcff46e440bbaa850358de5e86b6b8f2439","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 1, 2, 7, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eb045fd6eb05562585cbfbe443da6e968df9ce2963acb0530b0308caf202d5d1","rejected":{"artifact_digest":"sha256:c1e84f56db904610fc3f65792f0a680c9234a68b0a4cc4982d753cca9a745d52","candidate_id":"sha256:81e911304827a9b708b4a74ce2041a91b716e2412c684826c2cb40b6c828e43c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-2, -6, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:77e3b6f17ca2f9ca2e752567f612ed74ec53e426e42c4f312b4fef7867bc32e2"},"sample_id":"sha256:1e84f6ebae385206edc5adc45bb644ae74520d31e2061b9fd0a6bc648d1b3d9b","source_transition_ids":["sha256:c0a690c3733e8bc50b21b892f96e4f94e590d08dfa4e3b723b1435b5e3317abf","sha256:5710888c611345880757ffac2643d00da712e198674fa3f26e9fe9f83c8e2b55"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:2dfb7bc9a59b25776d47511cc28834a64ea86ba07f095bfa6f8b4e3f3c856179","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 7, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:50ff4be89f41e4acfa9a0c6ca11bcffba647046c5953517f1d08605bb849bd14","rejected":{"artifact_digest":"sha256:b27a336600b97c07da013fe094d4858343736db74770af5ad7887505a77d06e7","candidate_id":"sha256:3322b8c9e4b5457c4ab7d7f0d29c96e0c08d66a54df052b776f2050814397e04","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-2, 1, 2, 7, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c811eb418a84fb85ed97f04a37c835609f66eb9bc5e0cdb7ea36e4113d464b8c"},"sample_id":"sha256:9c30ac2036d8a66b013d40f3645a9ec16a530644980f7c8546a91e85a5da620b","source_transition_ids":["sha256:4e2343b5e909e926c13fa047c0c919d19263328f2fcb3116660fac531087dbec","sha256:a53dd6e75815c640ea338aa1adbdc5bcba0ac07726fa579e23aaa89491d180b0"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 2, 5, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f9b29bfe5dad4645b10ba08f33d7f4b0e10e2161e1ddd20642b06039dcd314ac","rejected":{"artifact_digest":"sha256:168a9a53a8b277ef18ce694f989f5318b1cffbef11ff251ba317cd275ddede1d","candidate_id":"sha256:136909a34a7574d87061d9ec8636f2ee6b89e16be6b596cd440e55bde507cc0c","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-2, -2, 2, 5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:29e0eae80345341fd1b55e7253b1d47ee8d955f665170d8b26be41c5cfc9b4be"},"sample_id":"sha256:0fa9b300f6fe66f57cce7eda5b1a964de8cb1ee8cf7f2f4b24587650f0c9fa9a","source_transition_ids":["sha256:a4e9f63c9d5363e8bdc1a0064e06c8eaa8213ca53d28f80bb75c41524724d742","sha256:32d7f26589a7fcc18acbe57bcbf7d755e5e7c9173fd8ffa8221ae79898172c7b"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:d97e91aed116cfebe2eb36c7b9c102f7dc57b6eabdc82784d4d1a4c4151b6e55","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -4, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:948b642d10b3a3ea1e6b878a61495ee267c14102ef9d989e0706149238c8af07","rejected":{"artifact_digest":"sha256:db9a6226d5dedf5ccd3badd53495e93fa840d56197f158ad0c8149306e4e5083","candidate_id":"sha256:092faa2b270625bbf2cd4f031ab3c11fb5314c099339e247ae8aabb194fdff78","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-4, 0, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:fb1d981cf8008de051525e8fb880fcaac46034ef6058a76ad5bc0a2e5e788271"},"sample_id":"sha256:b6946dc510ea5a127855503c73eedc31d97ee821220b79298664330ef929f99f","source_transition_ids":["sha256:67a5a9d11960958537b84622d6a5252f5f126ef7a2955f5cfccd978b70bfeac1","sha256:b49018816b1a8aa089cdc46ef390bfc8f4239a23bb07889c8be70d3244072b72"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:99b0c607ae66281768bbb42744b4c6404e0548c657d4692c27aeeb77b95dc5ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -2, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:be73a0bddc6384d763386c74fad1b7d28006f4be79eef1b16c2857ea39098a05","rejected":{"artifact_digest":"sha256:259e3620c5e3ce676723b4b3ff25c63d812aee8b62fa9db2b5cda9535233592e","candidate_id":"sha256:4b7cdd720bd6a0f79e095778c02de1fcbd50a87f41f574300ba2339ae17febde","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-4, 7, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:070244c9708ba013e81a04a80d6eba6f982137d4c2c87f33c3386a3e6aa30c57"},"sample_id":"sha256:a45c374ce442db73bcbe03bab2b9a500c073ddd23b155878fc4fcb0de268be91","source_transition_ids":["sha256:ee3a247fef3f3a7d2a9a645e0eb4ca18988dfb6723656e05df6c36a506f0c63b","sha256:637b8e21bbba44c0b9a9da1454394bafaf3a16f2987aa6dd842799ca95b1f279"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:84eb80eebcc26f25aa6e202dc39913c5722b22b566ab204cd48467a58a672e07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, 7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5312a56a855ee4c8675766ea1c7307bbdf7fc0595f0868ec29f33afa269c79bb","rejected":{"artifact_digest":"sha256:daaa29e30f9343c4511ee8f914dc8e4dba16e15a37163f34dafc9ac3a31c7afc","candidate_id":"sha256:535de2094167c63454a60f75535a1735c9e059cf0e34d36123b95fb525dfaf66","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-7, -2, -7, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:47e89e4ddc9bfa11c38bda4b1cc1af9fe90f1f422ace45566e209fcc4ec8034c"},"sample_id":"sha256:09c162edf9fcfd76694dd9f06e4e65782f07441d1d6ba1c6387c099a31d3b7e4","source_transition_ids":["sha256:5c53836f4c0e8a7c6634ceebec55b1568f5d5760885a55c2cca82690feeaf16d","sha256:9047d7412897b6a54fee40243141184ec42f01ac832f9ab4646755c9a481a597"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, -2, -1, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:51ef69afec9e0fcaa304abb95f58aedb8a2128d3dd7d382f62c9b09294c6d1bf","rejected":{"artifact_digest":"sha256:26978e83e59f68c8752c7b82bd2516aafb155e72e29f199c75561a029e8ee273","candidate_id":"sha256:07b27289dfbf3ad36c0410091af725c5f6ce280a1b880dccd5656a9aed62fac5","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-7, -2, -1, -2)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n","verification_digest":"sha256:505377e316576b6060ffc348411d0eccdbfd208ada403b24ba656992fef7ad07"},"sample_id":"sha256:b1a75370e8a36ad8ac398d2346903e9590fa80a76a1e452131e79e403fd4d4e1","source_transition_ids":["sha256:50a3ebe2667b62f78461e6742339e83f299d0fb65e39caca581c41c7631e409a","sha256:322327da07b9d529fea4a438f3aaea56907cc393c008fef69b0e74f817a53381"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:b52f9ce7fa710d0793e4fb26c44a19beeefdd5792bb6ccd175b85d77ea26df5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f0c56e12b231dcdbd5812b5da11d748829102d0a75f9c53f95ea037b721325d1","rejected":{"artifact_digest":"sha256:41d399f38d426ae405cfbc8dce848c50978236dda74bdfe1f2b654fd3e4df7e3","candidate_id":"sha256:301b3df4e9b6ddc000174abd1a4cb039dcf224ad20593e00a5e32a1fba585431","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    table = (4, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:479e14dbbcd5b33c367bb230d002c616e5c6f1916ed0ca39e7900b3f29d94e54"},"sample_id":"sha256:8d0ebe1f8d37f07e592841a1958a301f0c9f037fdabf45ae51c1dc337c7079c8","source_transition_ids":["sha256:380d3bf2aad83416dd739c5d39dbcd98b63be463ca470f4cf3c4f095358fbd05","sha256:b627aec0e0459bfa029fb1e8dd60185412cf1de9220831fb68f295beb42b1c67"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 1, 4, 2, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b5e254ebba56422f0920dbf79f9c3b4d5f4f7bc4ca1e3ca97e7d075d0b8cf62d","rejected":{"artifact_digest":"sha256:083d954ce87584a3f1e0c5e971d3839dc3cc9f1155ea88e5430a42f29bc1771c","candidate_id":"sha256:8cdd887e6aa2e4b35a1d6e3ff83b891b97f85da09aa5e548bfe15fb6e74cb7d0","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    table = (-3, 1, 4, 2, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:af996aa39951e79903d0a85c7d23e4660c34aff8fd5f276853b950c7ca1a5b1b"},"sample_id":"sha256:554a601e257c06297020c706f08491134875ace9c47fabb4fd05ac3ee71d3f56","source_transition_ids":["sha256:532473bf534ac2a57df9f5754b8db4f902e19063794d4c9e58630f998e366b18","sha256:e5ebdf6148f1bf2cd3f0c6189b3130931d9c456fb0aef61c8e869435ac15d871"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:d00c61965d5e05f5ef36e088da0ea2802c299e58be643eace72f81624b442e21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 6, 3, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7073544e4cdc923c653487f39c802f45d1beb136c830d9e3539ea0f63f7f14fc","rejected":{"artifact_digest":"sha256:a458cb1d11614772ffb1a3754bd41143b16942d4ea6a4bccb2c91a4df398eb76","candidate_id":"sha256:936d565649e4b4bbb408eb641dc60490b242c4071f56c8a3639a4cecf0d129ba","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (4, 4, 9, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:89bdf825182e9c1759c2d0c487ecde1e38ce1195011a383f431efaf81ae2ebf5"},"sample_id":"sha256:28e44b15d68b04ff1f61fd200a1d5293f122c80c5e4db2a5219bcadfa2af74cc","source_transition_ids":["sha256:e2fb1ef7047721feafa37f4a59b2dd162bec34e742a1b2be9350dd4a46547819","sha256:3b0436e8d8a5a972e65df7090bdb1f991d2f5525a36f03e7c1b9d830fabea8cf"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 4, 9, 3, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6a02378a17e75177211783c691439489d3fb44ff53a10dd74c798089c1d821c2","rejected":{"artifact_digest":"sha256:096e1d5cd1013bae528ce8f0ebf737afbbb7878db38a77b1a6f02fd8ce00ee22","candidate_id":"sha256:e461a209c36016bc018949075c6ec3529cf1523c5b983c0ef134b3fa5ed03860","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (4, 4, 9, 3, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:535472ae6e26aee824bdc505f7bd32177962ce9c7ff66bf166fee62513504bab"},"sample_id":"sha256:c3d0d7915c643304a2bf55044f9f49cf4d102b1b56d23f656a53c7f434a722ae","source_transition_ids":["sha256:5aae2d27ce4c6dfa2ad168f03b38ef6b237d7733c628469b3ec4a021e8f57094","sha256:482c0a0078f6b1fd2fa7d6d2d9557dabb6bea0adaf054ec429029a7ba067fbeb"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -7, 1, -5, -7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:3ac45c451148eabaad50c397917f8ba1b513460b3de07d4cb69685b68589d417","rejected":{"artifact_digest":"sha256:058e5d4dd2f1a986330d2c861cd28fccb01f5274d9a5bceefece8b0af68eb46a","candidate_id":"sha256:9bba9223c235b330cc51a6ddcd3d4dc908976592899410b76a028dc26fc62e5c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-7, -7, 1, -5, -4, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e39717950fa7c7f185a37230d92bc0c3049aaa9e2383dbb037b252fd87d92b3b"},"sample_id":"sha256:aa2d3f4da589965e66502da9e9b01d3cd554fac87e75a5c3c73cff60098b96bf","source_transition_ids":["sha256:207bef985b529da0914b9e94b6250dfa143e7c7f536784a1eb9d7137c2e59f8b","sha256:c3dd490863abaeffd40b90de4b3a6c5c7c94150c76985aab386428f59057ccc8"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:c2b0e8479c6496707e550568b757fa01d76b1dc0da82e7c9da279ebff245285e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 8, 5, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0528328ebbd3b4498593771a48042b82237e40af26bf785762e377417c9c3104","rejected":{"artifact_digest":"sha256:ff048ab9d0d4f55956c0ce2e7f968b2755c2390e98e28a14220846d253951d81","candidate_id":"sha256:7508284ae50753de5429e90895a3883d70f06b6355b67a43c78e381a2334a06b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (2, 15, 5, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:34764a3b7ee40d685f386fcf61a9e0a33a8c8319896a0f8726b454712f41523e"},"sample_id":"sha256:e113cd187ae3be44dcc892e106db4ac5a5a71a73bba96e7f42f7aea3ae11c64e","source_transition_ids":["sha256:03c3c94c153d3a1ff1ada92ceee281b80d04bde1103ced8879414f35165c7468","sha256:a07ebe04e1572f693102faa68d83ef3dd2fc291f4a51c6f6ed13e00ada91283b"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:25b17d57a2ad519b3ee12a794f8e3125f036757984663275341b481c3c8e8428","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 12, 5, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e6192bf1b71cef909460a52bd9130c460ffe372da0b84b37e0f5a3dc0d250259","rejected":{"artifact_digest":"sha256:191f58e8e008389f191f03167add0e476bf7e09dd93f3a7f4029642c45b757c8","candidate_id":"sha256:4ef74cc70dc22b47216903bce09bf392e60551104289ae9b12292468469d89f3","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (9, 5, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:bc37235335ecbd13b3bab84618e1df7306e98d9343c92d5fcbe6df313f5e23b2"},"sample_id":"sha256:882ee80e6b8657a5c2f6876f791021f4c021f1abe0175c64248b86589abe900e","source_transition_ids":["sha256:efc1c81aba281abf15f7e9a17e48de943fdfe696656550c5735ae873c824163b","sha256:badccd0aa9999d6ff6dec9448497831a8bf6ddf5773e1d6ed2d3e1e30ef19beb"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:0727977153e3ec613582ab0186e0e6a36c8be79aa082ead53709dcc16d464c5f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 5, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:433db3cba81b53509f9ab44bc0f1ad6d9c06e7ae888fbaea5899ae8dcf2612f1","rejected":{"artifact_digest":"sha256:c72b5286912b1eae06388ac87f180134051cd730f30694035755cb89b70cf318","candidate_id":"sha256:266ea38b984cde96af3150d0ad619f53794c0561ddaec9a025e5b5c50dcc6ca8","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (9, 12, 13, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e0eb23eb233add9f51c5f05bc298a0e791fcd5f7e6ca9f524f18f39d78edba29"},"sample_id":"sha256:41d12703223ee0628a83d2ac0db30bfbc7a0812d7139f4a79c841a41ca10b4c9","source_transition_ids":["sha256:602821512fe40df1a7c5aa31bee7d54281f24529b97d650bafa21532e96c67f7","sha256:6d5481853bd12487c58510bf432d80133d06d56b495662f96e39612e96f06600"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 12, 10, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1c61daf2ffb7f948d94c5582264dab5df73e5a2c2048ea7ea13ca763a22de6b3","rejected":{"artifact_digest":"sha256:8f3397a173bb2ab1db657d2d13c854f1f449c701e448c023bed61033d513bd40","candidate_id":"sha256:f8574fe322c8c516776e5597632e1b776673bb6baeee320d43109ca43653ea34","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (9, 13, 10, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8f201f9f61e4bb89d8088f0cfd639b9a028884f67535767b990e27ad5bb455c0"},"sample_id":"sha256:0483016dfac4e15d69f8d76560a71bd17f70c2da644f1a6f6772c89497f8a918","source_transition_ids":["sha256:136aaf937326420e8bc8600de42fe8238d6592284b781136be8560829fd41cfe","sha256:9293ce68967bdf5c24f27879b310bca0d897da11e208a2fbdab9efffcedb463b"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:814cdb36cea04d8b82b8d61f7b5d71df6e78ce3adc6ca673a202c0e9a32df3ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -6, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4e39b366e7d01f3748db929a658add441f3aaedb943df502820759d70cf3b75e","rejected":{"artifact_digest":"sha256:78e91bbdd8c6cdb4373b8f049d8d837fc7018589f2b008fccd306ad7d12ea7ee","candidate_id":"sha256:ba67df0e5df0c5c09a70031fc011e7a9090c8058085a6cda894f16633a8a0b89","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, 0, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:482b273390d5c628e8f6ca623a52b08c692473847ec6b2dd34b7d296e33afe0a"},"sample_id":"sha256:f0580cda26d042c2ef46d2c06b5949669ac4873c94bc9009b1a43622f4f43f0e","source_transition_ids":["sha256:c9b3427997b118b1a991470a0c7c7602f6f128d80743e007a5fb86ec0abcd2d7","sha256:3f14e79441df5ead4f8c20cb6a79b9b2e6d4095960e6af13b61f0fa7329bb866"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:a0a480696b08017f7fc54f414e0ea3ef595c7bfe0d85e0c2d3497293c43354d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 5, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:718e5494b82255bfc0205b9badd8273bff38186452086cc0fda2f37b951ebdd6","rejected":{"artifact_digest":"sha256:ae01c4550197ddf92560ba23e5d879267ff43a921244c4fcf72cd104d5a6c6dd","candidate_id":"sha256:bcb120fd031e4e84466974bc50b809e8f9bdc5e559a38ebe5224fb085a0030e0","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-4, 5, 0, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:87510512e9e962ef1c5a8990a96214595f6554cc9e8b9ec80b807f93b814e855"},"sample_id":"sha256:a74fd17253a02baa4a3e0ad227afb3696e123a8879aa736336a93133a459f100","source_transition_ids":["sha256:e7ec3e653031e5046296727a2c7d397301265784b40bfa0d8feae6565efc5fa1","sha256:323aea619b08b53276a8be2449a7800208011c6b06a8ae70d42d794d628f51c8"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 0, 0, -4, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:82679a95b7887b824c250ba304b5e6795a6dc808288b6ff1bfb9836e4132a82e","rejected":{"artifact_digest":"sha256:6dcb09f64d281ae7f44a124371ec00203399f4740593273dba63c93e1e98930e","candidate_id":"sha256:88ae93b4c920893ea090ea0aadbe3eeefbc839de30a4f9e3a589b6a5d3ac3588","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-4, 0, 0, 8, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e319739255a7629edd474e64470f619169960bf1004e3dd9b085482ddf55c3ff"},"sample_id":"sha256:72a5a76ceb6826fcbf56ace4d3175612e2b9b7981d9e2c4372eb017958a4a19f","source_transition_ids":["sha256:a413846e00472b490f1c00812e5da47ad4ca732d617159e69ad291fd8e7c1e94","sha256:c43d947ecdfc0fe9d04fd1f6360c956d3f836d4ce84891fc66423a669aa059f8"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:455793c57a4d6a02355dd2feafa170c6fc3e13fee393d77efd2194b6588f6285","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, 0, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=15\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b1aee34120fbdf07432a868b7e0d4246f8788883488bc847a7eeda880386177c","rejected":{"artifact_digest":"sha256:1834061ebf23e665b373fc66f1e7622d59d9380bddd6a5085c5221cbe1cc4ec5","candidate_id":"sha256:a7eb90172160c9e8055c2602b82050c30b0df26551a8912fd3f0655797f46256","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":18,"phi_gain":-3,"phi_incumbent":15,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (3, 5, 0, 8, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:987b80dc9c186737caf8523a60a7e9779f8b20002534b6530ec50b8a57e4e3f0"},"sample_id":"sha256:2fa071d23da1f72bd97fc353e23d8bdc1c12821f286fa4a62c0667f990b68908","source_transition_ids":["sha256:5c7eafd19a8ce6439b7c49dc1adb0c0a0c9592eb06f927cee509a8facd14c8ce","sha256:4f20b33869c0507e05507a406b4cfcb2aba79fda65d5e70a29fae940abd56536"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:70b32650789221803d47d41e39c06f1be41f8f8f3dccc551ce0d790cbb3eaad5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 5, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4df0c993773192cd9269ee6e9ae28e329c76eca59281f7dabfb5c82ddc73f6cb","rejected":{"artifact_digest":"sha256:ed29b9986762b1468ded01da4cd5e99d02b394a61a9d5a4be191ccd36d26f235","candidate_id":"sha256:7c365009224d820ec18cfae04512bc968fa1f699d998fbd309c404f4999443cc","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (3, -6, -4, 6, -8, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f9e3c5043e1db4575f304e1cf310bd29f50680d6e72a6e8a20af185a74cd5b65"},"sample_id":"sha256:5104607ed0c0dc0e257ebb65c8acff64ccdf5a71edc98c52a27e3d5df5c8c272","source_transition_ids":["sha256:964957a879fe12207df546dce8802e36899ffb70adc5e264de8ab9302e02a76d","sha256:7dd114e1c26b4c1f1b8559ab25aaceb90286d5ab9007712c292e043acd38c69a"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:91198507816bbe9f45fcd7420b3120d69444d758c41e6d78051f06044a7c5354","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:657ab4b3ecf3499cc8af9fdeb2e401faaaa9726836ea95f5ba05e7d53aa9df77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:29243a1fe5741e54701736fd441561e28fdd281368b26227da796a137764ae70","rejected":{"artifact_digest":"sha256:bf91d2568c32db57dda6a6c8d2afd7cecf7e1010e6334271d18d54b4cf153521","candidate_id":"sha256:05a04161c03649fcb4f473017d5fec6234ca6421dc21042ae9427b1b1447c964","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (7, -4, -4, 6, -5, 5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:741f3ec03af9ae185becac8aa0dd72c471b1e38cdfa28931707deba91971e7d4"},"sample_id":"sha256:b76ce03fd6d7ef88ecb73c4327db1653232c8a524164ee30e24a021a81252e6e","source_transition_ids":["sha256:1c915de929b4d3c29bb0f489fe98f624774376cb172fb325cc0da34837a6ed04","sha256:1369b550a3632f7dca5ecdcb076385a78f47d39522088f46f910b7821cb674fb"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:0f6a1f00e885a29f6f9f1cd3fd613f501855edad48927a49ac6f41f02bc0bbd1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -9}, {\"input\": 3, \"output\": -1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-5)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b22cfc2e1dfd2fcbac1d0e2aed4f2debd19cb349c37c0a9d2b338b4b3ae5c171","rejected":{"artifact_digest":"sha256:28c91e0424b0996fbcbf501dcbe85ca939e4bd6b8b4b1453fbc9d546874bf92f","candidate_id":"sha256:e952268ebc8acdbeb5010727e734b395dfb700386bd47d74dbd3aa495a8d4d06","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (2)\n    return x + (-9)\n","verification_digest":"sha256:e6ea70e4b9c267c1035567c0dd7aaad17babe41e5b80edcc03c0a95fb5e2bd37"},"sample_id":"sha256:20cf4d3aed22b842444ee30c835a853d8804a02472196b136945f2612220a6bc","source_transition_ids":["sha256:32e3dc8893786bad9e3bf000bc688accc1ceba578a5086b79a57c1a3caf80305","sha256:3fd8375d10ff1a4026430a689b4d132836b2d36c84a6ba5e6ba59189dc12b10b"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -9}, {\"input\": 3, \"output\": -1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-4)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:72bad0d979a7f26a268005466a0f2a9e2a6ea7a42e00a3de59ceaf2bfd369daa","rejected":{"artifact_digest":"sha256:e7d76f4f7da1cbf3055ac4925af7ce4ace97cce2cbddf9822e34a30ce29d3a6b","candidate_id":"sha256:a353f128211fda5e2658518b42ac9305169b2eb74a5bc21c8071f3a94d3e8dd7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-9)\n","verification_digest":"sha256:1554006f97a4c09e375de44b945c71b794c7163af0f5ad1e0921a72ad68deb1b"},"sample_id":"sha256:52c11a5855c7c1db56fa12d8e8b333ff3ca52e48491f9003846bd55e119eeb6a","source_transition_ids":["sha256:c1141082f3d084f4d22d070330b2660fc013d5fd4227aaf6e2f44f0879787a97","sha256:1a19a3db649421b03b17144e4c1bc40be97517c3c2bec3dea140051e40b783c2"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:d3cf9e0e33d9278702986c4bc88743951c2af72db28481edd5baca69f76afac1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, 5, -7, 7, -1)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0715bff9dc53458abba6064fa3bd6ac1c6e2ba83faceea475628ee7b31adc406","rejected":{"artifact_digest":"sha256:36f7b756341303624988277d9afa416980d2b48d7f54e0f912a950823af4353b","candidate_id":"sha256:039a78f4a9d6c9fd3506376a94a42be7b27b9aa61dcf11c1b6d615a1bd8da7d3","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (6, 5, -7, 4, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:262b3d3022485c6214ef72efd6a90d56518ebeeecbbdffb02bd2cd811bf568c8"},"sample_id":"sha256:d9d4b28cb7b326325eade7c97faafcea2c469a906621ca78cd54c8dd8d4a7b59","source_transition_ids":["sha256:7736cbac141c9fa8d4aa387503230e796a262b82bf242badcc65eaaf06f98a1e","sha256:e93134fa30322efc37b394ad5a899941ea20ad0fd0b2fbb07dd327d354dda3f2"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:6618f604a00b273e8d519d99f423872b56e578f2e426d1f5e9661e2967e2bee9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 7, -1)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c3d59cb2d8d354718f6cdb0bbe762111940246343b4f91ef2571f5fd00dc5612","rejected":{"artifact_digest":"sha256:d03199519241c742c3a58c2e6c6d5b1f369525d325c0b64c772725f087f1f611","candidate_id":"sha256:a3083f60cea63ce56c3155dd10c4cb6e6dedd90d45b8d69abb97bfb7c2679bfd","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (0, 6, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:81d54af3d27acebcce6ec8389f351540ad2728af18c11919ca3e63434f14ad0b"},"sample_id":"sha256:c7be5ee6f8fa3061ef3f1d3639df546bba38234072baf47c68225fc80ef6b60e","source_transition_ids":["sha256:a62e321223ddfb4649a5edcef62d150cc9681b0596a4c46db91a8b7eb0d97527","sha256:0a5e2492650e69c10ec6879fae37ac7b1dd0e87470a827726de19cff0408ccb1"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:17e162bda74dc811bdb7d82044bd43167dc8b99554c9413523435190764a7640","rejected":{"artifact_digest":"sha256:858bd720466fc47aa9969584b1a2951fb85aaffbe9f40d5e404095009890478e","candidate_id":"sha256:4f6540741d46af1ca4b1f46deb7d0496ba0e0258e3ff77d9e3421f53badeb8c7","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (7, -7, -7, 7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e3ada8ff5878d2992c52d1dddb3095d6c72b7539e57dfc7b9e876f0b452ecfef"},"sample_id":"sha256:c13eae1c86d4f7761f5315249e517e64cefcd1b37c5fc0c9cdeab646e7d8e0de","source_transition_ids":["sha256:510d2a2156591f0b3778a28e8bcc2ec1e2fba7426b7e435ba7067fbf2d9d975c","sha256:23c9085de71211be53b8441adc334e0c5752194031eb4dfe898670da404b6d99"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:ba5783948f9684a47b12858318c7e571c8e9fea648f029ef770b8d35aa4c7b64","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 3, 14, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ff06eb5a8c8a36e1e883ff7d947510dbb4d06c552ec81bf989b9c059331d491e","rejected":{"artifact_digest":"sha256:9b67628ea889cb83723dda5aea18faf2e1763c721fd57661adb4fdbe69ff8c2d","candidate_id":"sha256:dba871f36bbccf67898929295cce6d0376ba1da05963a04527e30c83ed2a6d0e","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (4, 3, 14, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:36bf960d88664f8e5a3737fe82a4064712e5e354281656a2fc2c48db9a3a19ff"},"sample_id":"sha256:68855d13a899fd6ed61e1204d95be314e678ba9c6e83f6dfaeced33ceb5cb0f0","source_transition_ids":["sha256:206aa3638b3069ee46177640252acc00efb5f2083987ca601a40aef5e03a6154","sha256:7c8c2531800ca09bf36cf208bfc6498a1436716d8bc5d9176f4d3d94b1bcbc9d"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:9c3e7f6ad016178d5726b9b5707cfeace3fc22118a1a7005243195f500e29587","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 3, 14, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:10d3b9ba89ddf2a21e785015dd1b7813dc2bcc1b48aa1b0db47f2a2e73bca2c8","rejected":{"artifact_digest":"sha256:9b67628ea889cb83723dda5aea18faf2e1763c721fd57661adb4fdbe69ff8c2d","candidate_id":"sha256:dba871f36bbccf67898929295cce6d0376ba1da05963a04527e30c83ed2a6d0e","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (4, 3, 14, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:36bf960d88664f8e5a3737fe82a4064712e5e354281656a2fc2c48db9a3a19ff"},"sample_id":"sha256:59e9abc62cf2041d83fd02463112756d44b3211ac7e3ebb13ed851664c6cbc98","source_transition_ids":["sha256:af2a872dee6e36a2086f5d590b8f7426e3f99ce2f74b1e876394222d7258e876","sha256:8198aceef382c8374b63db0aab7e17dcbf7250de681ac761e2e18213a9c78577"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:079d83ed9b5333ffb31e4d7548c1f0774c9747ae8f7c94785a06cbdd8138405a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 1, 14, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1e25cdd34af324049f06095e3819cf70f3c51d45ef57d1c4be2e128ab635bf05","rejected":{"artifact_digest":"sha256:24735a65e35bad8c1188b11c880a9a4846c42bd46a2e3bac859619d99ef76d56","candidate_id":"sha256:28f34cc83a4e509dc875c0f6e17713bbaf66337c2b9ac2ff2067be210c3ab06c","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (4, 10, 14, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2b053bc81830b4038a5bea2a6f23a63cf235817e8eb7705be067dd8de12e592e"},"sample_id":"sha256:04a5702e3be68521211e2473997131e15052148122b6b2cce8d43826a79e5ed3","source_transition_ids":["sha256:208e6b425bdf15b04cd9d9a32f5e07799e3b8f1ab03d4370ecb183f2d7af13ed","sha256:5be39036781682e6b65ef42d792bbfc06d19c47b3bdce374e40f5032888c13bd"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 1, 14, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1a4e68e9d39783cb3de092d43820cccfeda71ca267624a47112025cb374ecec2","rejected":{"artifact_digest":"sha256:2d18c02ff2cedc9361418ff6460ef6cb1b6121b4109dd4e433ae53fcc14d49f2","candidate_id":"sha256:3788f350ea9f5aebb5c03814bf986a694fb80c3ef89ab48da2097081b99803d2","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (3, 1, 6, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5610451d50d59922750e09f300919e2c9378a386e170899b55334160e45981a7"},"sample_id":"sha256:5a42ec4b21eeb0e33dad61637818a7cb9a3800ee6cfcbcd381f9f8cbbbbe37c7","source_transition_ids":["sha256:aa46436b0a2e74f0ae573d2e6fe8447027402eacc63b841bd8d6f51ce17047be","sha256:268c838801a0f0fe2c798771c91f69f59859df0ca5680bb19e0d585ad86c7710"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:2aa3baa0c21b108c435f14b9be1c89ce8960481cb6cba38cd4d663769919d228","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, 0, -5, -3, 3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e3c73b700e1ae84549a0b0016805cdfee50ef52e1dc66ad50e6a95ac306342b5","rejected":{"artifact_digest":"sha256:aa44dd2855d892449cf27fba9f5b61aeeab43578476d3f45409b818243418685","candidate_id":"sha256:5121d68d237430da376e3e73732e629fc91113470ea3b8f88fd76763c6366105","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (8, 5, 0, -5, 8, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0add1585dc36acd409d25b243a5da2cb263a2afbee86d8f70149d20fa576fadb"},"sample_id":"sha256:8706592e76905e8a166c9592d917cf155b14bd7e2cd24d020d99099b3d75cdb4","source_transition_ids":["sha256:6fc5c204a8fa6b5ab30be479af5203b394caea365d8c05995927054f31c6cbdc","sha256:c1f182702003bfc6169b1a2fe554c7dd194a4cfa8fae28753502c0f5f7e0ff48"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:fd4f464b783a574f8344a070261b13b03692862c525ce8cdeb7861aeb05c4c72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:c05ef962216ef0898633b32a64138d3b999664b8ca1c2112e7637625846f1603","rejected":{"artifact_digest":"sha256:1bed5ee3c3a39ab8b7cb8053fdb53be6b268240cac01a2e7b5fcd99593b0047c","candidate_id":"sha256:c6e61dc9853e96cae6e82eb42811e811c01f0ba00ed1667349d213d0bde13bdc","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (5, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c3babcaeea343db4f74cb00982c81479febf71e1ae46ba05ea32cb7e4365aa4c"},"sample_id":"sha256:f6fe7d437f0b989e5cecb979924e3152b84015d62dba48b19f475314348835b8","source_transition_ids":["sha256:0d2e6eecf83273294f6d6b3b8b6f33b80a4ac7c048fd1449c36f0c4f4709c68d","sha256:4a7b0a733852088148c33a74ecf3e2db89897d3f44f5017c63a269b096927b24"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:7d91f3bc7ff8dcfb2ab3bded8b29893dd6569c673ddc9a89679c8fe63f0e3940","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:686bb3be3fc0388493758997f1087bff98a50456033798e9a4928dcf85b0da0a","rejected":{"artifact_digest":"sha256:aff8f3b89a173a00c8f0e3166a99f0ad3fc02ff0a47bfdd192d036a16625a153","candidate_id":"sha256:3379a267c92a34c600f4f194174cd551e6f7f28f0d4ec6f723c3b8cce234a62c","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 2, 4, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a9d02c333731f9bd725da3785729e0aa3fb2a68f7a5ef446529ef2b82df790f2"},"sample_id":"sha256:b5645a588828a253c38d5be610dd45584871b7fb536caa61fffd3f290ab5132e","source_transition_ids":["sha256:e077e37894c20dd1221aa85a4cfd987cb6a8169814877f2326cbe35083e890c9","sha256:67eadba9dbb5f24f0d4244660ce83c539c10304ab986e8748c43a2609cb8ccf7"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:302eb13d2c2826d15f4ec04d53199802be4ee6a91c20db7787d6c5747b257de9","rejected":{"artifact_digest":"sha256:86d3f622dfa24534a906cd147d8550bc8327fc7f8def9ce78cba39fb0d72b0b4","candidate_id":"sha256:29c99e8fc69c26501c4acb29af683ba800cadf9f548bbd78addb48953cf9cb87","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(state):\n    delta = (1, 2, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:20e9fddca8649da933204e796f6584d55fa61329511d2c99218bbb1f80183f53"},"sample_id":"sha256:4d602717e6a73d3c966b885b35283568b18b42c6308e34b2b95f188f832de062","source_transition_ids":["sha256:5990539a41ab819a4fa2b2f7ff3a66b7685eddc2cc68c2ea50b86d6446dc5e64","sha256:46c5d873249ddf20c206ad6bdb5475e292b2f076a2abe4a44f8e60c52b499627"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:7bfa8b48afefe7f6274dad4fd7c738b1de2bf53a912c71e0d12e89aed739142a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:5375dbf670b437676f5ee8c161db13d871158dfb8996ee1c8e6902e5f9bb9886","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -4, -6, 4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f1a05ac9ab6b59ee7dcd1452f4fddfd1bd7dd39e5c753a53bd2bde57be05e5b6","rejected":{"artifact_digest":"sha256:cc9710d44de85d8985000bd79ea14f24beffc244286482f34f30a47b219ea042","candidate_id":"sha256:d9ed0f5727032a730443e70eda4d1d7473239d35fe60548cd24ea2d35c10a057","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":12,"phi_gain":0,"phi_incumbent":12,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (2, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dbae73be9aa9093c4c410c5687a15c17ccc452609a1f1f90a7a69d51c4bc056a"},"sample_id":"sha256:22e00fee4dac47e5a8ef1faec3a17d1878d4a80600e2950361e58f9b8a3f69e0","source_transition_ids":["sha256:77f1e5e02c6b35742fe8b22832e16c0f269350c326165b01c1db764357f9bf20","sha256:900fa398fd43f094e876a87f477409065d32908b8d812ff14bb90b2338894972"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:6ef9dca874c4a25b50cc2ace941462d289ab29cd1b21a3f1fb969793581a8c4a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -6, 4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:02120f6949411f56003e083e736b74a14b6d0b476b3b82aef33b126fade26586","rejected":{"artifact_digest":"sha256:35a53caa7b9e5c4d908f2fa30f47e986de3d6f85343e9d8ddece9d160918733d","candidate_id":"sha256:645d45b9579d327708244f0503423a8d219d59e0d7628f9db737782d3597f460","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-5, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e02aa860047901e4fdd9bfd6c0e679bf1c557bf0453a8a8c0b3635c7d61ef91b"},"sample_id":"sha256:abfd6a727c1261d855fda0c90b0d06abaddf4464faa991453a684da872159fb4","source_transition_ids":["sha256:d484a08094b3d8fa31682f55e393ca3b1f07d4aaabc2fe6457ec55a18e58a1e8","sha256:ebc4316106f378ba3d6f5ac5a494e8c5a29347c586530c2b3a107c28fb911c28"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:dbe9f26aacc882d6c474f01bc1692c2f09ed11ed3dfc67c92cefca7fa47cef23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:701f833f4a0172c9b23146eb3e8e4438a6edf8283829639484afd216cfc1d5b2","rejected":{"artifact_digest":"sha256:e8171c16049e14a8492ac44119b2ad2a3aab63d31f7f7854daabcad91956ba1f","candidate_id":"sha256:e4a9e6c5426dff7297d1997f66d92321678642cd3ebbcccff70c0822614cc2ef","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (5, -6, -1, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:45a37167b1ce508ef3843264db9861693d705e571d8c9f9b7433695295b40d3f"},"sample_id":"sha256:5e6362530d56a9caf1e81da9c50fb6b6934121ecee512e7e534ad7522e75a7be","source_transition_ids":["sha256:fec7b14c935169d697340ee757feee796342860d04671e585ad3afd80d1a7613","sha256:7e8966e8fbac8f9493321783630996437ac4b5548067390e5471762241ca26bc"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -6, -1, -2, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:0802c3f78f4693a5c28245f24929808624e5bc7e6342a5668d829940d55c2951","rejected":{"artifact_digest":"sha256:149eba0751d1c7eaf8933959578862c2d516da2c8969a3bc79972a1cd207c976","candidate_id":"sha256:06ef98f3830085a34ae0088c5f949856f895ece033bb8c51602be0e302c5abf4","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (6, -4, -1, -2, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dfc2e79ac91668a70e86fe381661d50e67e48df11fafdef5e9d8d1a7161aae33"},"sample_id":"sha256:f10493bbed71c90d57ab1f7b44f3d6fb9f1ae1150582fd6e353011e9219e3565","source_transition_ids":["sha256:343a9b8803096c91b852225d720508c43047bc708f70752c32f80384ccc46819","sha256:84e4423b38f979fc6eeb80d99895756968029dff29b0749d007361e8a3de4f73"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b112fcdc8f1da137256283402ae504d2b7f571fd553482ebc5230ff48a295f1f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 14, 15, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e044e2519007e41643fd5a3f425b209c94bd05e4660f0be7e325c80db7e25776","rejected":{"artifact_digest":"sha256:36c2319bea853940a69919c1f1927e82bacd00956050e6e5eb371207b1762424","candidate_id":"sha256:0e2476207df669845e390f549852e65cc92b936a37c538928d086bf69880da37","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (13, 3, 7, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:35b7766d7dc8162a0e8eb3606db871dea8bbd063adca26240ab3211bb3f41440"},"sample_id":"sha256:5f68c018c60328a8a35dd95f0c34ad8b35c9d995363eba0c7fb37978cd96bcc6","source_transition_ids":["sha256:1e5728205793f13f9c4aa35eee2c6c00b997286aa87e6caaca97aa3bbfd84623","sha256:421b6a816d3a13e327086ba16f142cc8c55453f74215c81bda74db505f5574fc"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 3, 15, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6060275ee343ea040c642c420c7862d6a011854a9c24d6071891f8647d0c0c5f","rejected":{"artifact_digest":"sha256:f52fb129e446735e1a343b6546c98366caa17917a1fea68104e48c1827434465","candidate_id":"sha256:d6c82c24b9c907780d73438abcca69915a4e4ecdc59adc3b3e6a5b2e4d1724c1","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    masks = (13, 3, 12, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e57cef9078ea23e5708f232a382bb6fe9b7874a5779e3d341a6cc4b97c5f031c"},"sample_id":"sha256:cfa00a62f56f86ed0d3f2ebe05c0f448e1c41dfa5291c411be88b8873547f6f4","source_transition_ids":["sha256:317a0a4077b5eddc28b8e2c4308cdf16f3f10be6cce6d7f2d888e3eb206d684b","sha256:c1011a13ca7fe4ad8eb1d3ad5df0895d7f901f87c04e4fea679ff3034923061f"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:f0623d843b492d2198abb3a8f29d3e77d76d893e6161c9b3ba8864c3982e18e3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:39a9f56d71ff8be4d3235b711daa9cf7e3a600201ad309b63f183c3abd7baa00","rejected":{"artifact_digest":"sha256:94f255733fee1637c74e8919ef798f449d6b06ae9f5a81d300e7780e63082ab8","candidate_id":"sha256:8dc3a46cf2193be5a4594eaba8e2a1d74813e3065246598122bebeac00206374","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-7, -3, 1, 0, -1, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:fa551bf406a9f722a00fe1e615f9d69e3b3ed129950b6148ba0ffbac5b050997"},"sample_id":"sha256:0dbc03949c72ac8d4822ed428456b6130cc0cc00640024854c508744fb74cf84","source_transition_ids":["sha256:035275f760a7671dc1799e908784a2777e69a0c153d16276205c73f8388b6611","sha256:54f7645a7adc2165648dd80c40a7e6f97cc5d59c47886be29831fe4282ccd806"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-7, -3, 8, 0, -1, 2)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8351e8b139b7d3a0896952a3c3d2b1aa05cba94abe313de82a60b36b08aefcc8","rejected":{"artifact_digest":"sha256:7a679737dff54576e6f6403d6de5409dcd551b2511c8df0a8901dadf246bf868","candidate_id":"sha256:902c17e4f9a75e4738e2d12b4b04f762f25f8e9af02a2c27597d9a6cb5f45c33","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":12,"improved_coordinates":3,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-7, -3, 8, -7, -1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c6df06d625b42d0658fef3fe7f79b2a7511e70ba1ea25ca53dada97dd35e553d"},"sample_id":"sha256:945494cddb08c5a6c1f0c874dc11c0c2f5bca0445ddf75e77dc1b646f6c792b6","source_transition_ids":["sha256:d44d28f8ca89e884d18b25dc3145c6e41db6efbfedaa8521a15991917f211583","sha256:8a3d72cf5ea0f85f6b99471a554c8c2bae9e4e36d99b57fcc8bd809dafd1587d"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:dc48fb4f69401f33aa354bab25c7071abea0719c7fc436dd19719e0dccf95026","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 0, 6, -5, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:4c400058fc9c1a5f1956780c79c5284d8420d9922b22ee3232e4cd80dbca0cf9","rejected":{"artifact_digest":"sha256:701877e9577ee9788bffe7f13c0e25bf65ad47420d077bc9dfbf116f461ff79e","candidate_id":"sha256:2eaf70fcc9ee62d0ae31d76d727d17f779c8bf58382aed76a2fd83857e12f2ca","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-4, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:8a37658ed9facf4edf68fe54070e86884e35881d00ae998536744facbfbdcc9c"},"sample_id":"sha256:6ee1a3f5e7d9f4fa2cea183ee11916d449f2d360084bf48832bba97ddf15b079","source_transition_ids":["sha256:d033b11d834c98b0b7c8ffd1e1de5e9e421a71137dee6831fd2bcbd2470643c7","sha256:f286f355c500777c7c63cf79c072887ad4113fd94ff4946349241d976e8cd24e"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:bdf881a2ecbced44fcf7664c4ce99f799b89f19b005de58fbde91ecfc218c690","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, -5, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5f6bc4230b684064936f3da6a39a69841cc8f3bd3ef03c3cbf59b74651d5ebf3","rejected":{"artifact_digest":"sha256:fdac087601eeae445f4dc2be28f86cc99acee51ffa241714f2fbcdc55737b331","candidate_id":"sha256:9a47977901a57da8fd92a7718d0d7321fe4d37464795592f16bc654b9243a4a4","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    bias = (-7, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2d5b80ab1e86359a72321648b76e4ac5c88ca92d1fb621a5d4bf3854bad7f2e4"},"sample_id":"sha256:e79a6a16da1b139829a5d2928775bcfe88eb162cea23c4a8f17a766f6e727f4b","source_transition_ids":["sha256:746804f0e0b2bfa253d8118cfa69ead740c67c615e1b63fda46ea86caf547d10","sha256:979f46825a802be958a0f1aafa74031fbcff420624843e4fc69700d71d9f1b22"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 7, 6, 3, -7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:83f19b8f058a90fdbc03270c08fa89b54a0eb622b0bcdcf526d7babd7ea623a5","rejected":{"artifact_digest":"sha256:04c89d3f64923f354c1a6a5a0f222f2d91d2b145292cbac3f07c6825d5d40eca","candidate_id":"sha256:05c4ace5ae0c71fc81dbb998ad35043f121ff8c0cc9b374525bf070aadde9fae","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    bias = (-5, 7, 6, 3, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c134638dbc64c2be19e8721991d8407378a7a93e8ae4b31953ac1150c7e753ba"},"sample_id":"sha256:964b3d9fe6f320c5a4fabaa105de4da087688a62764aaa81e5ebd7265cc22092","source_transition_ids":["sha256:7a0b96f72931ae82f0935b5a84958bca314f9d3e76273875bd633d4337669637","sha256:7a1d2b70d5bc8c94682ab449ed91cf6c4ca766c56f84b22e9e1947b286baa153"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:4bd11845c996eb6e2e8c10c9ff0691864716d48b0ea1b8bfac37dd549e2a06a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, 5, 0)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eb3d527f61287f13152b1644cc4ecfc25e34fcf50cc951a99307d318fb069c03","rejected":{"artifact_digest":"sha256:b2b9adbfcc3462d17c00ee4b7d5991273129136a6c8c19e24b50d08b56741576","candidate_id":"sha256:3715a8a15093bedd98d7a9beac3dcfee86de42fa07deb1bd11dc9ac4ca44a4fb","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":9,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-5, -1, 6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:75a89e8a7ae1266144603e6e7a291949496a08c97992fb05599df7fd91bb4bc5"},"sample_id":"sha256:fa09c45626167a3e17190817b6898c31b2984582eb84d0509d8c8a45176fded8","source_transition_ids":["sha256:add3d9cc732059ab08105a9625028d86bddfa80e5b0e6aab200035830aa32fb3","sha256:68c27079e863f375cc84617b329051f5f94515b184d094e5f1cf5390c1f9c210"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:48525349ea1e386122c2e50d46bd49d6d56100cbf53524f2346f4710a8c1ab0d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:34249ef392f12cf849a11b8ac99f1428f0f54440e7f5342351cde06554a0cc4c","rejected":{"artifact_digest":"sha256:61a21cdcce74cb10a368411b1a6797d09cf58dd32add3f4eac06ab928ef65ef8","candidate_id":"sha256:d956356d558881b8df29f619e6fe810a3459443b7cb7a93af96e3814cefc0b4d","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    delta = (-5, -1, 4, -7, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:862ca95bbd111f4b9853158df7cec091cdacd22ce7345f9a9f89ee31f7a1b827"},"sample_id":"sha256:5a2d926b5202ddf2c7124dfedbf071fab08cffd931bf97b8a3d786d9fd3cb40e","source_transition_ids":["sha256:6d489e70b541caa9832c7bb1259bd7634d9d7e6286c0bd45180458927ab3d0a8","sha256:699c6d3a337d3edef8fa8d7edaaff29b1134d4e17d19081637fb2da4799972e7"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -1, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:861931be523d140059fa4af762c4e6be6f41f4c6f4d6bd20b2770fd443f99582","rejected":{"artifact_digest":"sha256:22802b597db5e545ecf04252321ba6ab9bbea730217a816253432108729cc8ac","candidate_id":"sha256:8685ccccb6ea7d672045dd6bb1e7af2f0199fa311f01d9f1850d939459295718","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"relation":{"equal_coordinates":18,"improved_coordinates":0,"phi_candidate":3,"phi_gain":0,"phi_incumbent":3,"worsened_coordinates":0},"text":"def transform(x):\n    delta = (-4, -1, -6, -5, -2, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:dde4e8854a787d3e6d09345707fa9a4bf3dc1206c5a27d7dd474c33b4c917c4e"},"sample_id":"sha256:04793ab2cfc581453af2eac3af8b5215bf85d41fdaed7a329de15a5b555e2ffa","source_transition_ids":["sha256:d956d3538e76d954f450f8523f6589c7aca7d34cc2c338be0f4558cf72d42070","sha256:67e8f189afe3509aff09c493a760b9d520bfec5a1c9bd3902c98128fb745240b"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:263121b7a14378821a11690b13b298c5ec7949d66e4b81cb52bdd19092a2800f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 4, 4, -2, -7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dfef5d657599d2c7eb959f3839a19ca51320d4506bfa713607fe82cd2b93848c","rejected":{"artifact_digest":"sha256:1ebc731f58344a01a0bcf9a32dac96c616ca35ba3454dae256afb8434dd39539","candidate_id":"sha256:7dbfa46fd990cde858c86f9ea0b2a72b857f44a0073975f3b3ee15f47ce1734b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":15,"phi_gain":0,"phi_incumbent":15,"worsened_coordinates":0},"text":"def transform(x):\n    offsets = (-7, 4, 4, -2, 1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2f8f7fd4342d3acac9414e120606b32b4060dbdcfece149b0073c2ae2967d0d7"},"sample_id":"sha256:c9164b39b4d61c8a35aec95f4b143a39549dcd38724c0a823a4737b3325d0daa","source_transition_ids":["sha256:5d90cc48b61592dec8309453346fbec7b8e5a649fa800a20a6a5e2f8d6ec20a3","sha256:536e5f4c40e9738a55647e52971d865bbfbfc9107b173c6a324ef291622d3872"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:025c565dc4f5f4b6807a3c3e42c3465dcdc3c9387d19015a21a4566b0d2e1bf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. 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{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:7b482f24ae5e859e7b286166f9acd193a225f4591321969ce4c3e4915aa886da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:22aa7cd08da195a3081f561f4a6f97353bf6cf5ecebef659629bb60bc4462b14","rejected":{"artifact_digest":"sha256:8b94484a80011e11265005726dd518bf23d53257a775eb1d891af00a5092da43","candidate_id":"sha256:7342e2bc2cb5b26bae47aa277a1b543bb3b281268ad7ef142626db7d4f1dfefe","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":12,"phi_gain":-3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-7, 7, 4, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:77cb4cc390349d521df5118f89e1b7f5e27a5b35394b08a6238a31bd92b1c01d"},"sample_id":"sha256:ebe647e283c1babb58b4bfbf1b3c42ede4a20bfa1779c0e4c00f52a870774994","source_transition_ids":["sha256:ae56600b62444c6029193e01ca4fd15820ce4fed68fe2f4fedc29348a1264d6a","sha256:ffab7af2aa69112801ccae7b64d788205204d6d6abec2821e13995c6e8dd9cb0"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:cb0fdee0c8859b6d2925adf6f0ec3b5051be8a7db811919a5057094d579e2876","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 1, 4, -2, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8d9b218b1e70580fa18b349ab01ca054395a5fbfbfb3f3a286d28cce7bdcc506","rejected":{"artifact_digest":"sha256:b5739f8abb3ca4137a40b59f27f53779c5a8c01825efe090a2194afe49da84c4","candidate_id":"sha256:58913d3ca86f02927bc9ba02a6993156f6b070613a888a3e9caa8a99e9f79058","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"relation":{"equal_coordinates":6,"improved_coordinates":6,"phi_candidate":3,"phi_gain":3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    offsets = (-9, 1, 8, -1, 8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:703f418567187f69f35c4c74e219b8017a2eadfe51785dd6be875b349c552b3a"},"sample_id":"sha256:9c03f46ac74229aa7427ac41d5418380168c9292362bb50ca10cc0efd9e6367b","source_transition_ids":["sha256:784463bad00e2969cf33fae164460b2457fd85ec93ebbf51488fe7662d64bd72","sha256:429da672a16249d260715d81ff6e2e7ebf028a0eb7157386115c1aa203d2561e"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
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{"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_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:a384a677e54fd157acbf822eb112f5d0c609bed6488be16cca914cd7d82229ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 1, 6, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:62d717c75125efbc8fee6d1a055a6d7ce7b0c14c6edbddf17c09c8f2cffecdee","rejected":{"artifact_digest":"sha256:9133e898f664ee989db7806dec8d64f40dbef25d45bf85468e65753dcf2bd2ea","candidate_id":"sha256:22dcfe99e82f98670116312bbed0a6ed364bc889d7c068f872e92b23afb140f7","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 9, 7, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2180f8a81a7714a51ee4185de2336a4b878059d493758d5b3fba7323ef6484dd"},"sample_id":"sha256:cd06ea02075085214e442b820d985d806c6fe0e78a0b50235a9e3353704c108f","source_transition_ids":["sha256:829a2b698aced8c8f85bb485fb193aa5e548e4a20c9423f655de4692334d3810","sha256:c78ebb54cd5eb96b6b0055d3d2438ea8546d25f0bdaa4c12df2c81f47ad8495b"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:5cd6d09f6612a8d7d90dd16ac14b191e50a8bd0974f9c4d961ce1fe6bbee9075","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 9, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:355bdf8e5945a7b8796c7c27330fe052df14499ad1d6f990432accf63bf73d07","rejected":{"artifact_digest":"sha256:952b91fcf80f5524d23609cda8d4d64851fd310aa4dbc8743d69e59df9849bd7","candidate_id":"sha256:c91b5981bd7c37d37beb27af5d88afff48e544cd27f5d54d329cebce5424ce6b","certified":false,"hard_negative_tags":[],"negative_class":"equal_rank","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":15,"improved_coordinates":0,"phi_candidate":6,"phi_gain":0,"phi_incumbent":6,"worsened_coordinates":0},"text":"def transform(x):\n    factor = (7, 2, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0c457e8759a0dadacb20544624b5c78262c302420b63f2c9170773fc198a55fd"},"sample_id":"sha256:00749b62dffd6eaa10cf97c0204bbcee377c2cff0361044653b2c9d0bc4e1834","source_transition_ids":["sha256:5b5d30c20fbe7b71e26dc01ce5a20011c3d8829b79d7c2a27f1b7adbac3a0003","sha256:a317729b8695fb44d9e01f578d3984302248451821a99b7434a82eb9aae0d1b4"],"split":"validation","step_index":3,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 8, 7, 6, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a0bbd15e2f967833d8e50da80830fe35fbc02268048ef245eb0741edc38d9752","rejected":{"artifact_digest":"sha256:9ac32ac3c62ef38e37ba9f0a9268e98fcd99f505a3e6e161b2540e15caddb3cf","candidate_id":"sha256:ddeefd979b09b32ebb04a05b4676ce85ca8a449382bf70c91074ea05937c40f4","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    factor = (7, 8, 5, 6, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c42165804525d93632e20d56c8874e6ee63881fa4af9944a01a500e2ac674ec4"},"sample_id":"sha256:15bff06b9b1555487c623c6b25876d2305675f1062f431287caa9ff85236dc22","source_transition_ids":["sha256:95a306ba005fef6a47cb79bc9f70e22f4169b8f4b54234976482541ca56dd370","sha256:7bb7beed4fd4d0c6e3791dfcfa535a7b45e03f9c1838d88ffe9c8fa10e5449f9"],"split":"validation","step_index":4,"task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:9ed67cab2efa1387749e6e3f1fc7ebd02c9ad85ea567c9e9c372468e7e7a2208","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 8, 9, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:858bc268032670fff09b46517ab465cc6bf142b1b8d91bc67185cf6bef6bf4de","rejected":{"artifact_digest":"sha256:a1e146fc89f6b5e8ee383e00eb80892b39c83408f6c38b45a4a5f714bb0decd1","candidate_id":"sha256:c7bef74719638e14c4511340d6fed5c606f2496d84b7642f3a95b1bd6a9e9b58","certified":false,"hard_negative_tags":["aggregate_improvement_with_protected_regression"],"negative_class":"aggregate_trap","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":3,"improved_coordinates":6,"phi_candidate":6,"phi_gain":3,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (5, 14, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8223a5dfd38fb56e4a6ae43d42204657e47eae364e5574af7706c470113c5fa1"},"sample_id":"sha256:6b06db722541c959d43750c45d1b28a24543d728046a7cee9ba234b76dc35b6a","source_transition_ids":["sha256:d1ce22b75df8e8401db63bc78265b30460af935dcb1758bbc668879b518a6f65","sha256:7b19eb6aa35a94182c26bf5e0a3ce4a3206efdc09a637a17345350c4779e975c"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:133fe56e3ebb396cc513e76772dc2273df35256cda540cba2ae06d2af30cc629","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eeee155c0a3caea157b68e37bbd73d23c7e863f21e601c825796f383ebee1262","rejected":{"artifact_digest":"sha256:8007bac6969a6b6a2488e60f593292e8008f894269dff27b49ed8cb0e2e492df","candidate_id":"sha256:a7a2a8805ccf89d1d1ddb149641dafef4c64f982f1212074ac5aea5c2cbfdde7","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (5, 10, 9, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:46e3e256876a774f379748f569c40be9f96f93990869cef26557b42fbd43f135"},"sample_id":"sha256:84e1f551732c7dc6b3fffc176df418049ad20b309a34b53419b9d7406598eaec","source_transition_ids":["sha256:012770e7d9686e6b1a0d389f19198a2889a058f96dd725e57c1372a04463042e","sha256:025f7f2f2d13fe8076612ee3366e1a7a283330451b3b73632386b0b80857f519"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 9, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:96301ddfe7a80cd2c4a557aea61b41511bd18e9131de8b10854037cc1a21bb67","rejected":{"artifact_digest":"sha256:e2d952a6b68c50b7f38e6a2e4be6dbafa14b85d767b7d03bea92032bb1778a2c","candidate_id":"sha256:e20268c39ba589694a87b86f27d494e04cbf227500894d0335221876097a7135","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"relation":{"equal_coordinates":9,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    masks = (9, 8, 9, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c6b9d96341e85befee9b864918e68280c32ebd437ceaa1c64f5b0c617da28b4a"},"sample_id":"sha256:5f4b14e991d0d4ab667d2fbea49c4bb1cae15978b1e084f9d6923c10934ce50d","source_transition_ids":["sha256:6bad6a727b022bb6181ee5a56f5f45768f1af5cef102115d0a3b55d2b7f4811a","sha256:8616bf30c0520ca1620484fa6079175453189de1110c658e4b760226c9b4f6dd"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:a3281595927a0f75cca0419acc12e1aa76c43c82a71616cdeb8a5ed66cafbb80","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -7, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:af621dfa7d2c77c701392323265f60f54655ebae0a7b887c2905c9aa50fc3f39","rejected":{"artifact_digest":"sha256:b78f27453610155fc41deb87a33719eefef261254dc6d5311424c8c86af05c67","candidate_id":"sha256:7ffb8d339d7e5ecc65523ef9eea1628e7be1f8e7c357b37bda656cfac3db64e3","certified":false,"hard_negative_tags":[],"negative_class":"pareto_incomparable","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":9,"improved_coordinates":3,"phi_candidate":9,"phi_gain":0,"phi_incumbent":9,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-4, -4, -7, 6, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:74aaba32c5b9da1c4405f26f10f5e61f6d5d937357a3bbb04661065a5b4ecaf6"},"sample_id":"sha256:0dafbdad5fcc7359c4ae6f780471879e79e846b9b31790df3a1ef9f1be4b865a","source_transition_ids":["sha256:0d416cf6b83ef5456d0a90abe2d0e52013b336a398b168de45b7503653a2b540","sha256:996a81f0756448d9179878feb5119b4fcb8498bb301fdb7eaf0f89e8234b8f7f"],"split":"validation","step_index":0,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:15d2eeb4aa3c4c86820e9427353b70dacf8e66c6ce3910cf6fe81fa9f4157f2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:eda7adf5be10a78c04a46bfadf4ca23745c982c44a7035e952a8e3fbb2a50718","rejected":{"artifact_digest":"sha256:eff3c237ad412c9d468d4a180308c0f0cfc258702b320371360f4bf1d413ac24","candidate_id":"sha256:eb09308aa0d7a1755a569283513d50bd7c364910324d85e49c85a39245de2876","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":9,"phi_gain":-3,"phi_incumbent":6,"worsened_coordinates":3},"text":"def transform(x):\n    table = (-4, -4, -7, -4, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f188569672ccc49985cefa04a5cff11138954881b02a68ccb9720d7cd1ad8517"},"sample_id":"sha256:5c7de51173085c650a41ea6900b88733c4e9db7c1221b8730073ab4082b9c8f9","source_transition_ids":["sha256:8dc48774675bae89a75def5c92b42a62690beb0b6316d07ee38172f9ef57f63a","sha256:2beb4b698b98391059e1834d93ddf3452b8d329eb5a020ad3ebf48ccfeec11c3"],"split":"validation","step_index":1,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}
{"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_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -4, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e39ce87a2bb8bd0152ef2c74484d374dd0089cb093f86e5d199961fc774c9bd6","rejected":{"artifact_digest":"sha256:fdff60165f3b9e27ef5314c27e8726edca39a5cf53bf1c2df31b30161d83d55e","candidate_id":"sha256:4b1a2868d05a62fc878a49356bdd7978bc11b92b22f0b2b5af5138c454254da8","certified":false,"hard_negative_tags":[],"negative_class":"protected_regression","rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"relation":{"equal_coordinates":12,"improved_coordinates":0,"phi_candidate":6,"phi_gain":-3,"phi_incumbent":3,"worsened_coordinates":3},"text":"def transform(x):\n    table = (3, 8, -7, 6, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ca6ba16745984c22275cc3ce1445e3318178b877d5ab678f5471e0afd79123f5"},"sample_id":"sha256:9e6ec9cc1e4a2c59f906636670bc48f51390d4398bc1a77aa85dc3e851021e19","source_transition_ids":["sha256:23ffbbfb39975e2e97395e5f294f68b6f91ec21c7b6c6dd0a42c2dd622ea9f8c","sha256:e6e8dd580cf2265a6ab41c7b5540553dc86bb6d638f8e472644829f5fe042141"],"split":"validation","step_index":2,"task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"primary_tuple","view_version":"1.0.0"}